MACHINE DESIGN PROBLEMS
1. A horizontal cantilever beam, 16 ft long is subjected to a load of 500 lb located t
its canter. The dimension of the beam is 2x3 inches respectively. w = 100 lb/ft,
find its flexu7ral stress.
A. 3150 psi
C. 4510 psi
B. 2912 psi
D. 5663 psi
2. A 12 m simply supported beam with 30 KN load at the center has a maximum
deflection of: (EI = 6000 KN.m2)
A. 150 mm
C. 170 mm
B. 160 mm
D. 180 mm
3. A 10 m simply supported beam with 25 KN load 3 m from the left end has a
maximum slope at the left end: (EI = 8000 KN.m 2)
A. 0.0056 rad
C. 0.0186 rad
B. 0.0765 rad
D. 0.1823 rad
4. A 10 m simply supported beam has a uniform load of 2 KN/m extended from left
end to 4 m and has concentrated load of 10 KN, 2 m from the right end. Find the
maximum moment at the 10 KN concentrated load. (EI 10,000 KN.m 2)
A. 19.20 KN.m
C. 23.45 KN.m
B. 26.34 KN.m
D. 12.34 KN,m
5. A simply supported beam with uniform load of 3 Kn/m from right end to left end
has a maximum deflection of : (EI = 12,000 KN.m2)
A. 43.23 mm
C. 54.23 mm
B. 32.55 mm
D. 36.45 mm
6. An 8 m simply supported beam has a uniform load of 2 KN/m from left end to the
right end and concentrated load of 10 KN at the center has a maximum deflection
of: (EI = 5,000 KN.m2)
A. 12.34 mm
C. 21.33 mm
B. 42.66 mm
D. 34.34 mm
7. A 10 m cantilever beam has a concentrated load of 10 KN at the end. Find the
maximum deflection of the beam. (EI = 7,000 KN.m 2)
A. 476.20 mm
C. 544.34 mm
B. 342.34 mm
D. 764.44 mm
8. A 14 m cantilever beam has a concentrated load of 25 KN at the mid-span. Find
the maximum slope of the beam. (EI = 9,000 KN.m2)
A. 0.00234 rad
C. 1.23 rad
B. 0.068 rad
D. 0.123 rad
9. A 10 m cantilever beam has a uniform load of 2.5 KN/m from the left end to the
right end. Find the maximum deflection of the beam. (EI = 11,000 KN.m 2)
A. 423.45 mm
C. 323.45 mm
B. 198.23 mm
D. 284.10 mm
10. A 10 m cantilever beam has a uniform load of 2KN/m from left to right end and
with concentrated load of 8 KN at the center. Find the maximum sople of the
beam. (EI = 13,000 KN.m2)
A. 0.011 rad
C. 0.033 rad
B. 0.022 rad
D. 0.044 rad
11. A 14 m cantilever beam has a load of 16 KN 6 m from the fixed end. Find the
maximum slope of the beam. (EI = 6, 000 KN.m 2)
A. 0.183 rad
B. 0.048 rad
C. 0.863 rad
D. 0.064 rad
12. A 12 m cantilever beam has a uniform load of 1.5 KN/m extended from the fixed
end up to 4 m and a concentrated load of 8 KN at the free end. Find the
maximum slope the beam. (EI = 8,000)
A. 0.126 rad
C. 0.654 rad
B. 0.234 rad
D. 0.345 rad
13. A 10 m simply supported beam has a triangular load from zero at the left end to a
maximum of 10 KN/m at the right end. Find the maximum deflection of the beam.
(EI = 10,000 KN.m2)
A. 54.24 mm
C. 84.67 mm
B. 65.10 mm
D. 76.56 mm
14. An 8 cantilever beam has triangular load from left end to the maximum of 12
KN/m at the fixed end. What is the maximum deflection of the beam? (EI 12,000
KN.m2)
A. 136.53 mm
C. 165.34 mm
B. 145.34 mm
D. 154.34 mm
15. A 12 m restrained beams with two fixed has a concentrated load of 15 KN at the
center. Find the maximum deflection of the beam. (EI 7,000 KN.m 2)
A. 8.45 mm
C. 19.28 mm
B. 34.23 mm
D. 24.67 mm
16. A 15 m restrained beam with two end fixed has a uniform load of 3 KN/m, find the
maximum deflection of the beam. (EI = 9,000 KN-m 2)
A. 56.34 mm
C. 34.56 mm
B. 23.56 mm
D. 43.94 mm
17. A vertical load of 400 N acts at the end of a horizontal rectangular cantilever
beam 2 m long and 25 mm wide. If the allowable bending stress is 130 Mpa, sind
the depth of the beam.
A. 23.45 mm
C. 56.34 mm
B. 38.43 mm
D. 45.34 mm
18. A simply supported beam is 50 mm by 200 mm in cross section and 4 m long. If
the flexural stress is not to exceed 8.3 Mpa, find the maximum mid-span
concentrated load.
A. 2.77 KN
C. 3.45 KN
B. 6.34 KN
D. 4.34 KN
19. A simply supported beam having a span of 6 m carries two concentrated loads of
80 KN at its middle thirds. Compute the deflection at the mid span due to its load.
Let EI = 30,670 x 109 N.mm2.
A. 18mm
C. 24 mm
B. 20 mm
D. 30 mm
20. A cantilever beam having a span of 6 m carries a triangular load of 20 KN/m at its
fixed end to zero at the free end of the beam. Determine the deflection at the free
end of the beam if the EI = 50 x 1012 N.mm2.
A. 17.28 mm
C. 15.62 mm
B. 16.48 mm
D. 12.63 mm
21.A simply supported rectangular beam 50 mm wide by 100 mm deep carries a
uniform load of 1200 N/m over its entire length. What is the maximum length of the
beam if the flexural stress is limited to 20 Mpa.
A. 3.33 m
C. 52 m
B. 4.25 m
D. 6.0 m
22. A simply supported beam having a span of 20 m carries a concentrated load of
10 KN at a distance of 5 m from left support and a counter clockwise couple of 6
KN.m acting 3 m from the right support. The maximum moment due to this load is?
A. 39 KN.m
C. 36 KN.m
B. 43 KN.m
D. 48 KN.m
23. A cantilever beam having a span of 4 m carries a concentrated load of 50 KN at
the free end. What is the flexural rigidity if the beam deflects 29.63 mm at its free
end?
A. 36,000 KN.m2
C. 24,800 KN.m2
2
B. 42,000 KN.m
D. 54,200 KN.m2
24. A restrained beam carries a triangular load which increases from zero to 30
KN/m from A to B having a span of 4 m. Determine the moment at A.
A. 12 KN.m
C. 18 KN.m
B. 24 KN.m
D. 16 KN.m
25. A cantilever beam 3 m long carries a concentrated load of 35 KN at its free end.
The material is structural steel and the maximum bending stress is not to exceed
125 Mpa. Dtermine the required diameter of the bar if it is circular.
A. 204.5 mm
C. 164.6 mm
B. 188.6 mm
D. 179.2 mm
26. A steel beam 2 m in length is simply supported at each end and carries a
concentrated load of 100 KN acting 0.5 m from one of the supports. Determine the
maximum bending stress set up in the beam if the cross section is rectangular, 100
mm wide by 150 mm deep.
A. 100 Mpa
C. 97 Mpa
B. 120 Mpa
D. 150 MPa
27. A beam made of titanium has a yield point of 850 Mpa. The beam has 25 mm x
50 mm rectangular cross section and bends about an axis parallel to the 25 mm
face. If the maximum bending stress is 650 Mpa, find the corresponding bending
moment.
A. 6.8 KN.m
C. 4.5 KN.m
B. 8.4 KN.m
D. 5.8 KN.m
28. A restrained beam having a span of 6 m carries a uniform load of 50 N/m
throughout its span. If the E = 200,000 Mpa, I= 6080 x 10 6 mm4 determine the
deflection at the mid span.
A. 0.14 mm
C. 0.36 mm
B. 0.25 mm
D. 0.48 mm
29. A flywheel on a press rotating at 120 rpm is slowed to 102 rpm during a
punching process that requires ¾ sec for the punching portion of the cycle. What
angular deceleration the flywheel experience?
A. -2.52 rad/s2
C. -1.23 rad/s2
2
B. -5.45 rad/s
D. -8.45 rad/s2
30. A 100 lb body is being hoisted by which, the tension in the hoisting cable being
kept constant at 110 lb. At what rate the body is accelerated?
A. 1.22 ft/s2
C. 3.22 ft/s2
B. 3.33 ft/s2
D. 4.44 ft/s2
31. A body of mass 50 kg is being hoisted by a winch, and the tension in the cable is
600 N. What is the acceleration?
A. 4.23 m/s2
C. 3.23 m/s2
2
B. 5.23 m/s
D. 2.19 m/s2
32. A flywheel has a diameter of 3 ft and weighs 1000 pounds. What torque must be
applied, neglecting bearing friction, to accelerate the flywheel at the rate of 100
revolutions per minute per second?
A. 265.80 ft-lbs
C. 365.80 ft-lbs
B. 565.80 ft-lbs
D. 665.80 ft-lbs
33. A flywheel has diameter of 1.5 m, and a mass of 800 kg. What torque is needed
to produce an angular acceleration of 100 rev per minute per second?
A. 5356 N.m
C. 3356 N.m
B. 4356 N.m
D. 2356 N.m
34. A 12 inch cube of steel weighing 490 lbs
conveyor belt at a speed of 6 miles per hour (8.8
the cube?
A. 323.45 ft-lbs
C. 489.22 ft-lbs
is being moved on a horizontal
ft/s). What is the kinetic energy of
C. 534.34 ft-lbs
D. 633.34 ft-lbs
35. If a cube of mass 200 kg is being moved on the conveyor belt at a speed of 3
m/s, what is the kinetic energy of the cube?
A. 800 J
C. 850 J
B. 900 J
D. 950 J
36. A pile driver weighing 200 lbs strikes the top of the pile after being fallen from a
height of 20 ft. If the forces a pile into the ground a distance of ½ ft. What is the
average force of the blow?
A. 8200 lbs
C. 8400 lbs
B. 8600 lbs
D. 8800 lbs
37. A pile driver of mass 100 kg falls 10 m and moves the pile a distance of 0.3 m.
What is the average force of the blow?
A. 23.45 KN
C. 54.23 KN
B. 33.68 KN
D. 43.23 KN
38. A 1000 lb block is pulled up a 2 degree incline by a cable exerting a constant
force F of 600 lbs. If the coefficient of friction between the block and the plane is 0.5,
how fast will the block be moving up the plane 10 sec after the pulled is applied?
A. 12.4 mph
C. 17.3 mph
B. 10.2 mph
D. 14.4 mph
39. A 500 kg block is pulled up a 2 degree incline by a constant force F of 4 KN. The
coefficient of friction between the block and the plane is 0.5. How fast will the block
be moving 10 sec after the pull is applied?
A. 27.6 m/s
C. 30.4 m/s
B. 34.2 m/s
D. 38.3 m/s
40. A flywheel having a moment of inertia of 25 lbs-ft-sec 2 is revolving with an
angular velocity of 10 radians per second when a constant torque of 20 lbs-ft is
applied to reverse its direction of rotation. For what length of time must this constant
torque act to stop the flywheel and bring it up to reverse speed of 5 radians per
second?
A. 12.34 sec
C. 18.80 sec
B. 14.34 sec
D. 16.34 sec
41. A casting weighing 300 lbs is to be lifted by means of an overhead crane. The
casting is lifted 10 ft in 12 seconds. What is the horse power developed?
A. 0.45 hp
C. 6.5 hp
B. 8.5 hp
D. 9.5 hp
42. A casting of mass 150 kg is lifted 4 m in 15 seconds by means of a crane. What
is the power?
A. 392 watts
C. 456 watts
B. 523 watts
D. 643 watts
43. A cast iron flywheel with a mean rim radius of 9 inches is rotated at a speed of
800 rpm. If the weight of the rim is 20 lbs, what is the centrifugal force?
A. 3169.34 lbs
C. 3269.34 lbs
B. 3262.34 lbs
D. 4269.34 lbs
44. A steel pulley with a mean rim radius of 120 mm is rotated at a speed of 1100
rpm. If the mass of the rim is 5kg, what is the centrifugal force?
A. 5344.50 N
C. 6432.30 N
B. 7961.50 N
D. 8734.56 N
45. A round bar made from SAE 1025 low carbon steel is to support a direct tension
load of 50000 lbs. Using a factor of safety 4, and assuming that the stress
concentration factor k = 1. What is the suitable standard diameter? Yield stress is
40000 psi.
A. 3 ½ in
C. 2 ¼ in
B. 2 9/16 in
D. 1 ½ in
46. A lever secured to a 2 inches round shaft by steel tapered pin (d = 3/8”) has to
pull of 50 lbs at a 30 in radius from shaft center. Find the unit working stress of the
pin.
A. 6770 psi
C. 6790 psi
B. 7433 psi
D. 5234 psi
47. A lever secured to a 50 mm round shaft by steel tapered pin (d= 10mm) has to
pull of 200 N at a radius of 800 mm. Find the working stress of the pin.
A. 32.3 Mpa
C. 45.20 Mpa
B. 40.6 Mpa
D. 56.34 MPa
48. A shaft of 50 mm diameter is to transmit power of 12 KW at a speed of 500 rpm.
Find the mean diameter of the pin for a material having a safe unit stress of 40
N/mm2.
A. 10 mm
C. 12 mm
B. 14 mm
D. 16 mm
49. Find the thickness of metal required in the hemi-spherical end of a cylindrical
vessel, 2 ft in diameter, subjected to an internal pressure of 500 psi. The material is
mild steel and tensile stress of 10000 psi is allowable.
A. 0.10 in
C. 0.3 in
B. 0.5 in
D. 0.7 in
50. Find the thickness of metal required in the hemi-spherical end of a cylindrical
vessel 750 mm in diameter, subjected to an internal pressure of 3 N/mm 2. The
material is mild steel and tensile stress of 70 N/mm 2 is allowable.
A. 4 mm
C. 6 mm
B. 2 mm
D. 8 mm
51. What horsepower would be transmitted by a short shaft, 2 inches in diameter,
carrying but two pulleys too close to bearings if the shaft makes 300 rpm?
A. 60 hp
C. 63 hp
B. 75 hp
D. 70 hp
52. What would be the diameter of power transmitting shaft to transmit 150 KW at
500 rmp?
A. 78 mm
C. 93 mm
B. 81 mm
D. 85 mm
53. What power would a short shaft, 50 mm in diameter, transmit at 400 rpm?
A. 50KW
C. 55 KW
B. 60 KW
D. 65 KW
54. Find the torsional deflection for a solid steel shaft 4 inches in diameter and 48
inches long, subjected to twisting moment of 24 000 in-lb.
A. 0.122 deg
C. 0.23 deg
B. 0.052 deg
D. 0.43 deg
55. Find the torsional deflection of a solid shaft 100 mm in diameter and 1300 mm
long, subjected to twisting moment of 3 x 10 6 N-mm. The torsional modulus of
elasticity is 80 000 N/mm2.
A. 0.122 deg
C. 0.234 deg
B. 0.285 deg
D. 0.543 deg
56. Find the diameter of steel line shaft to transmit 10 hp at 150 rpm with a torsional
deflection not to exceed 0.08 degree foot length.
A. 0.834 in
C. 1.23 in
B. 3.234 in
D. 2.35 in
57. Find the length in feet of 9/16 diameter rope required to fill a drum having the
following dimensions: B = 24in, D = 18 in, H = 30 in. (K = 0.741)
A. 1873 ft
C. 2874 ft
B. 2560 ft
D. 2645 ft
58. Find the bending stress and equivalent bending load due to the bending of 6x19
(fiber core) wire rope of ½ in diameter around a 24 in pitch diameter sheave.
A. 1456 lbs
C. 1983 lbs
B. 1590 lbs
D. 1763 lbs
59. Find the breaking load in pounds of a wrought iron chain crane if the diameter of
bar from which links are made is 2 inches.
A. 216 000 lbs
C. 316 000 lbs
B. 416 000 lbs
D. 516 000 lbs
60. The specific gravity of cast iron is 7.2. Find the weight of 5 cubic inches of cast
iron.
A. 1.1 lbs
C. 1.2 lbs
B. 1.3 lbs
D. 1.4 lbs
61. The weight of a cubic inch of gold is 0.697 lb. Find the specific gravity.
A. 13.45
C. 17.23
B. 15.34
D. 19.31
62. If the diameter of driving pulley is 15 in and its speed is 180 rpm. The diameter of
the driven pulley is 9 in. Find the speed of driven pulley.
A. 100 rpm
B. 300 rpm
C. 200 rpm
D. 400 rpm
63. If the diameter of driving pulley is 24 in and its speed is 100 rpm, and the driven
pulley is to rotate 600 rpm, find the diameter of driven pulley.
A. 1 in
C. 2 in
B. 3 in
D. 4 in
64. How many ½ in diameter set screw would be required to transmit 3 horsepower
at a shaft speed of 1000 rpm if the shaft diameter is 1 in?
A. 1
C. 2
B. 1.5
D. 2.5
65. How many 3/8 in diameter set screw would be required to transmit 3 horsepower
at a shaft speed of 1000 rpm if the shaft diameter is 1 in?
A. 1
C. 1.5
B. 2
D. 3
66. What is the working strength of a 1 inch bolt which is screwed up tightly in a
packed joint when the allowable working stress is 10 000 psi?
A. 3000 lbs
C. 3500 lbs
B. 4000 lbs
D. 4000 lbs
67. If the diameter of driven pulley is 36 inches and its required speed, 150 rpm, and
the speed of driving pulley is 600 rpm, then the diameter of driving pulley is?
A. 5 in
C. 7 in
B. 9 in
D. 11 in
68. If the diameter of the driving pulley is 4 in, its required speed is 800 rpm, and the
diameter of the driver is 26 in, then the required speed of the driver is?
A. 112 rpm
C. 123 rpm
B. 134 rpm
D. 145 rpm
69. If the driving gear has 20 teeth and rotates 80 rpm, and the driven gear has 40
teeth, then the speed of the driven gear is?
A. 10 rpm
C. 20 rpm
B. 30 rpm
D. 40 rpm
70. If the pitch diameter of the driver is 8 in, its speed 75 rpm, and the pitch diameter
of the driven gear 20 rpm is?
A. 20 in
C. 30 in
B. 40 in
D. 50 in
71. If the inertia is 80 lb-ft 2, and the speed of the driven shaft is to be increased from
0 to 1500 rpm in 3 sec, find the clutch starting torque in lbs.
A. 100 ft-lb
C. 120 ft-lb
B. 110 ft-lb
D. 130 ft-lb
72. If the inertia is 80 lb-ft 2, and the speed of the driven shaft is to be increased from
0 to 1500 rpm in 3 sec. Calculate the heat generated for each engagement if the
clutch starting torque is 10 in-lb.
A. 20.50 Btu
C. 30.50 Btu
B. 41.50 Btu
D. 51.50 Btu
73. Find the horsepower transmitted by a pair of friction wheels; the diameter of the
driving wheel is 10 in, and it revolves at 200 rpm. The width of the wheel is 2 in. The
force per inch width of face is 150 pound and the coefficient of friction is 0.20.
A. 0.96 hp
B. 0.23 hp
C. 1.2 hp
D. 1.6 hp
74. A body weighing 28 lbs rest on a horizontal surface. The force required to keep it
in motion along the surface is 7 lbs, find the coefficient of friction.
A. 0.12
C. 0.25
B 0.45
D. 0.85
75. Measurement M = 3.495 in at the gaging notch of a 3 in pipe thread and the wire
diameter is 0.07217 in. Find the pitch diameter. (P = 0.125 in)
A. 1.23 in
C. 2.34 in
B. 0.34 in
D. 3.39 in
76. Find the tooth thickness on the both tooth circle of a 14 ½ degree full depth tooth
of 12 diameter pitch.
A. 0.131 in
C. 0.455 in
B. 0.234 in
D. 0.864 in
77. Find the tooth thickness on the tooth circle of a 20 degree full depth involute
tooth having a diametral pitch of 5.
A. 0.863 in
C. 0.108 in
B. 0.314 in
D. 0.563 in
78. The diameter of a pinion having 10 teeth of 5 diametral pitch and pressure angle
of 14 ½ degree is to be increased by 0.2746 in. The circular pitch equivalent to 5
diametral pitch is 0.6283. Find the arc tooth thickness at the standard pitch diameter.
A. 0.385 in
C. 0.543 in
B. 0.863 in
D. 0.534 in
79. The outside diameter of a gear having a pressure angle of 14 ½ degree is to be
reduced by 0.2746 in or an amount equal to the increase in diameter of the mating
pinion. The circular pitch is 0.6283 in. Determine the circular tooth thickness at the
standard pitch diameter.
A. 0.434 in
C. 0.243 in
B. 0.843 in
D. 0.672 in
80. A pinion has 15 teeth of 3 diametral pitches. Find the chordal thickness at the
standard pitch diameter.
A. 0.653 in
C. 0.863 in
B. 0523 in
D. 0.234 in
81 A steel tie rod to withstand a pull of 3000 lbs. Find the diameter of the rod
assuming a yield stress of 48 000 lb/in2 and a factor of safety of 5.
A. 16 mm
C. 25 mm
B. 20 mm
D. 63 mm
82. The ultimate shear strength of a steel plate is 42 000 psi. Determine the
diameter of the hole to punch it if the force applied is 30 tons in a ¾ in thick plate.
A. 0.10 in
C. 0.60 in
B. 0.20 in
D. 0.75 in
83. What force is required to punch a 1 in hole on a ¼ in thick plate if the ultimate
shear strength on the plate is 42 000 psi?
A. 12 tons
C. 16.5 tons
B. 14 tons
D. 20 tons
84. A 2 inches diameter by 3 inches long journal bearing is to carry a load of 3000 lb.
Compute the bearing pressure.
A. 2000 psi
C. 1000 psi
B. 1500 psi
D. 500 psi
85. A journal bearing with diameter of 50.8 mm is subjected to a load of 5000 N
while rotating at 160 rpm. Find the length of bearing if L/D is 2.50.
A. 10 in
C. 7 in
B. 8 in
D. 5 in
86. What modulus of elasticity in tension is required to obtain a unit deformation of
0.00203 m/m from a load producing a unit tensile stress of 35 000 psi?
A. 12.22 x 106 psi
C. 15.75 x 106 psi
6
B. 14.75 x 10 psi
D. 17.24 x 106 psi
87. The shaft whose torque varies from 3000 to 8000 in-lbs has 2 ½ in diameter.
Compute the shaft mean stress.
A. 1120.2 psi
C. 1792.7 psi
B. 1350.4 psi
D. 2010.8 psi
88. How many ½ in holes can be punch in one motion in a steel plate 3/16 in thick
plate using a force of 40 tons. The ultimate shear strength for shear is 50 ksi and
use 2 as factor of safety.
A. 2 holes
C. 7 holes
B. 5 holes
D. 8 holes
89. The diameter of a steel rod is 76.2 mm. Determine the elongation of the rod per
meter length. The force applied is 8000 KN.
A. 8.48 mm
C. 12.85 mm
B. 9.35 mm
D. 15.65 mm
90. A reactor weighing 1000 metric tons is placed on a 10 in 2 platform. Find the
pressure in kg/m2 exerted on the platform.
A. 1.55 x 108
C. 2.25 x 108
8
B. 1.85 x 10
D. 3.50 x 108
91. A spherical tank is supported by four steel pipes each having an outside
diameter of 400 mm and inside diameter of 375 mm. If the maximum allowable
stress for the pipe is 104 Mpa, what maximum weight of tank in KN can be
supported?
A. 3330
C. 5230
B. 4320
D. 6334
92. A cylindrical strut, ½ meter high and 10 cm diameter is loaded axially with 1000
kg. Calculate the compressive stress in kg/cm 2.
A. 19.432
C. 16.576
B. 17.032
D. 12.732
93. A tank with its content weighs 500 kg. It will be supported by four concrete posts
equally spaced and with outer edges flushed with the perimeter of the tank. The
compressive strength of the concrete post is 1000 psi and a factor of safety of 4 is
required. Calculate the diameter of each post in centimeters.
A. 4.52 cm
C. 9.52 cm
B. 6.75 cm
D. 12.2 cm
94. Determine the diameter of a steel rod that will carry a tensile load of 50000 kg at
a stress of 1400 kg/cm2.
A. 4.785 cm
C. 8.745 cm
B. 6.743 cm
D. 9.750 cm
95. A steel wire 20 ft long, hanging vertically, supports a load of 500 lbs. Neglecting
the weight of the wire, determine the required diameter if the stress is not exceed 20
000 psi and the total elongation is not to exceed 0.13 in. Assume modulus of
elasticity E = 30 x 106 psi.
A. 0.198 in
C. 0.385 in
B. 0.275 in
D. 0.523 in
96. A copper rolled wire 10 meters long and 1.5 mm in diameter when a supporting a
35.7 kg, elongates 1.86 cm. Compute the value of the modulus of elasticity for this
wire in kg/cm2.
A. 1,086,132
C. 2,860,345
B. 1,975,231
D. 2,976,317
97. Determine the max thickness of metal plate is which a 7.5 cm diameter hole can
be punched, if the plate has an ultimate shearing strength of 4245 kg/cm 2 and the
punch can exert a maximum force of 200 metric tons.
A. 8 cm
C. 4 cm
B. 6 cm
D. 2 cm
98. A single bolt is used to lap join two steel bars together. Tensile force on the bars
is 4 400 lbs. Determine the diameter of the bolt if the allowable shearing stress is 10
000 psi.
A. 0.453 in
C. 0.925 in
B. 0.748 in
D. 0.985 in
99. What horsepower can be transmitted by ½ in diameter solid shaft at 1800 rpm if
the allowable torsional shearing stress is 6 000 psi?
A. 4.2
C. 6.5
B. 5.8
D. 8.5
100. A cantilever beam 3m long by 30cm depth by 10cm breadth has a single load 45
kg at the unsupported end. Determine the maximum flexural stress in kg/cm 2.
A. 9
C. 15
B. 2
D. 20
101. Determine the wall thickness of a 60 in steel tank with internal pressure of 15
Mpa. The yield stress of the material is 380 Mpa. Use factor of safety of 2.
A. 76.2 mm
C. 3/16 mm
B. 3.5 mm
D. 15.35 mm
102. A cylindrical tank with 10 in inside diameter contains a gas at 2000 psi. Calculate
the wall thickness under stress of 25 000 psi.
A. 8.50 mm
C. 12.55 mm
B. 10.16 mm
D. 15.35 mm
103. Determine the thickness of a steel air receiver with 24 in diameter and internal
pressure of 120 psi, design stress of 8500 psi. Assume joint efficiency of 70%.
A. 5/32 in
C. ¼ in
B. 3/16 in
D. 5/8 in
104. Determine the busting steam pressure of a steel shell with diameter of 20 in and
made of ¼ in thick plate. The efficiency is 70% and tensile stress is 50 ksi.
A. 1700 psi
C. 6000 psi
B. 3 ksi
D. 1.75 ksi
105. The cylinder of air compressor is acted by a pressure of 3500 psi while the
maximum load of the piston 5000 lbs. What is the required wall thickness of the
cylinder, if the allowable tensile stress is 1800 psi.
A. 0.46 in
C. 0.85 in
B. 0.64 in
D. 1.05 in
106. A cylindrical air receiver is used to store air a maximum pressure of 1.5 Mpa. If
the diameter of the receiver is 0.50 m and the allowable tangential stress is 50 Mpa,
find the required wall thickness.
A. 12.5 mm
C. 9.50 mm
B. 10.5 mm
D. 7.50 mm
107. A vertical steel cylinder water tank 20 m diameter and 30 m high is to be
designed for an allowable stress of 100 Mpa. Determine the plate thickness required at
the bottom of the tank.
A. 10.50 mm
C. 25.4 mm
B. 15.25 mm
D. 29.43 mm
108. Determine the required wall thickness of a spherical tank whose diameter is 800
mm. The working pressure is 2.75 Mpa with an allowable stress of 50 Mpa.
A. 11 mm
C. 15 mm
B. 14 mm
D. 17 mm
109. A thin walled cylindrical pressure vessel is subjected to an internal pressure
which varies from 690 kPa to 3450 kPa continuously. The diameter of the shell is 1.5
m. Find the required thickness of the wall based on the yield point of 480 Mpa, net
endurance strength of 205 Mpa and factor of safety of 2.
A. 16.56 mm
C. 21.45 mm
B. 19.75 mm
D. 25.35 mm
110. What is the bursting pressure of a steel shell with diameter of 3 ft and made opf
3/8 thick plate. The joint efficiency is 72% and the tensile strength is 55 ksi.
A. 1650 psi
C. 1850 psi
B. 1750 psi
D. 2150 psi
111. Determine the torque received by a shaft running at 540 rpm, transmitting 120
KW. Stress allowed is 60 N/mm2.
A. 2.12 KN-m
C. 3.50 KN-m
B. 2.95 KN-m
D. 4.20 KN-m
112. Determine the diameter of the shaft receiving power of 200 KW, running at 480
rpm. Stress allowed is 60 N/mm2.
A. 55.6 mm
C. 75.4 mm
B. 69.6 mm
D. 81.2 mm
113. What power transmitted by a 50.8 mm diameter shaft rotating at 480 rpm. Stress
allowed is 59 N/mm2.
A. 60 KW
C. 76 KW
B. 65 KW
D. 90 KW
114. Compute the shaft nominal shear stress if the diameter is 76.2 mm, transmit 300
KW at 1200 rpm.
A. 45.2 Mpa
C. 32.4 Mpa
B. 36.7 Mpa
D. 27.5 Mpa
115. Compute the line shaft diameter to transmit 20 HP at 270 rpm with torsional
deflection of 0.08 degree per foot length.
A. 3.2 in
C. 2.85 in
B. 3.5 in
D. 2.41 in
116. A hollow shaft has an inner diameter of 2 inches and an outer diameter of 2.5 in.
Compute the torque if the stress is not to exceed 110 Mpa.
A. 2225 N-m
C. 3265 N-m
B. 2995 N-m
D. 3653 N-m
117. A 2 in solid shaft transmit power at 480 rpm. If the allowable shearing stress is 20
ksi, what horsepower can be transmitted?
A. 230
C. 250
B. 240
D. 260
118. Compute the power transmitted by a 63.5 mm diameter short shaft rotating at 300
rpm.
A. 92 KW
C. 115 KW
B. 97 KW
D. 123 KW
119. Compute the speed of the pulley mounted on a 50.8 mm diameter shaft receiving
power from a driving motor transmitting 112KW.
A. 1501 rpm
C. 1750 rpm
B. 1690 rpm
D. 1790 rpm
120. A 3 in diameter short shaft transmit how much horsepower if it rotates at 380
rpm?
A. 270
C. 230
B. 250
D. 210
121. A rectangular key was in a gear connected to a line shaft with a power of 120 kw
at a speed of 660 rpm. If the shearing stress of the shaft is 40 N/mm 2 and key to be 22
N/mm2. Determine the length of the key if the width is ¼ that of the short diameter.
A. 172.7 mm
C. 195.6 mm
B. 185.4 mm
D. 201.3 mm
122. A 63.5 mm shaft having a yield point of 50 ksi with a ¾ inch width key. Compute
the length of the key in order to transmit the torque of the shaft. The shearing stress of
key is 22 ksi and use factor of safety of 2.
A. 2.75 in
C. 4.57 in
B. 3.72 in
D. 5.56 in
123. A pulley delivers a torque of 930 N-m thru a shaft of 50.8 mm diameter. The width
of the key used is 1 cm. The shaft and key are made of same material. The allowable
stress of the shaft is 60 Mpa. Determine the length of the key.
A. 50 mm
C. 58 mm
B. 55 mm
D. 61 mm
124. A flanged coupling has six steel 25.4 mm diameter bolts around a 152.4 mm bolt
circle. Determine the torque transmitted by the connection if the allowable shearing
stress in the bolt is 50 Mpa.
A. 11,583 N-m
C. 14,486 N-m
B. 12,586 N-m
D. 16,770 N-m
125. A flanged coupling has a bolt circle diameter of 152.4 mm and connects two 50.8
mm solid shaft. Determine the number of 16 mm bolts required if the torsional stress of
the shaft is not to exceed 26 Mpa and the shearing stress of the bolt is 22 Mpa.
A. 8
B. 6
C. 4
D. 2
126. A solid shaft is to be used to transmit 50 kw at 1800 rpm. If the shafts design
stress is not to exceed 30 N/mm2, determine the diameter of the solid shaft.
A. 35.58 mm
C. 42.35 mm
B. 39.35 mm
D. 45.20 mm
127. A motor delivers 50 hp at 120 rpm to a shafting 1 ½ in diameter and 3 ft long.
Compute the total angle of twist in the shaft. Assume G = 12 x 10 6 psi.
A. 5.75 degree
C. 7.95 degree
B. 6.45 degree
D. 9.08 degree
128. A line shaft is to transmit 150 hp at 1800 rpm. Determine the diameter of the
shaft.
A. 1 11/16 in
C. 1 ¾ in
B. 1 15/16 in
D. 2 ¼ in
129. A pulley fastened by a rectangular key to a lineshaft transmits 10 kw at a speed
of 1000 rpm. If the shearing stress in the shaft is 30 Mpa and in the key is 24 Mpa, find
the length of the rectangular key if the width is ¼ that of the shaft diameter.
A. 45.2 mm
C. 55.6 mm
B. 50.9 mm
D. 60.4 mm
130. Two short shafts of identical diameter transmitting 50 hp at 600 rpm connected by
a flanged coupling having 4 bolts with 90 mm diameter bolt circle. The design shearing
stress of the bolts is 12 N/mm2 and the design compressive stress of the flanged is 15
N/mm2. Determine the thickness of the flanged.
A. 20.50 mm
C. 12.50 mm
B. 16.50 mm
D. 11.54 mm
131. A coupling fastened two shafts by means of eight equally spaced bolts on a pitch
circle of 16 cm in diameter. The diameter of each bolt is 12 mm. Find the average
shear stress developed in each bolt when the power being transmitted is 100 kw at
140 rpm.
A. 85.6 Mpa
C. 94.2 Mpa
B. 88.7 Mpa
D. 98.8 Mpa
132. A vehicle weighing a 1325 kg is decelerated by means of engine brake from 70
kph to 20 kph in a distance of 30 m. The wheel diameter is 712 mm. The universal
hollow shaft has an outside diameter and wall thickness of 76 mm and 10 mm
respectively. Speed ratio on the differential is 40:11. Calculate the torsional stress
developed in the hollow shaft.
A. 12.34 Mpa
C. 15.85 Mpa
B. 14.75 MPa
D. 17.85 Mpa
133. The shaft of a heavy duty tractor transmit 120 kw at 600 rpm at the same time
supports a load just like a cantilever carrying 5.5 KN load located 610 mm from the
support. If the allowable shear stress is 138 Mpa, calculate the minimum diameter
required. Neglect axial load.
A. 52.23 mm
C. 59.84 mm
B. 55.85 mm
D. 62.35 mm
134. A 20 ft steel lineshaft has no bending action except its own weight. What power in
hp can the shaft deliver at a speed of 360 rpm? Consider the torsional deflection will
not exceed 0.08/ft length.
A. 100
C. 120
B. 110
D. 150
135. Determine the torque received by a short shaft running at 500 rpm and
transmitting 8 hp. The shaft diameter is 1.5 in.
A. 1804 in-lb
C. 1008.4 in-lb
B. 1408 in-lb
D. 1184.0 in-lb
136. A cast iron flywheel has amass of 90 kg rotating at a speed of 1200 rpm and
having a mean diameter of 75 cm. What is the centrifugal force of the flywheel?
A. 612 KN
C. 564 KN
B. 599 KN
D. 533 KN
137. What pressure is required to punch a hole 2 inches in diameter through a ½ inch
thick plate?
A. 40 tons
C. 70 tons
B. 50 tons
D. 80 tons
138. What pressure is required to punch a hole, 1 inch in diameter through a ½ inch
thick plate?
A. 35 000 lbs
C. 80 000 lbs
B. 45 000 lbs
D. 90 000 lbs
139. A flywheel maximum speed is 240 rpm and decrease to 200 rpm during the
punching stroke. The mean diameter of the rim is 100 cm. Weight of the rim is 500 N
and the weight of the arms and hub is 10% of the weight of the rim. Compute the
energy released by the flywheel.
A. 1245.20 N-m
C. 1456.25 N-m
B. 1352.33 N-m
D. 1685.30 N-m
140. A shearing machine requires 1400 kg-m of energy to shear a steel sheet. The
maximum speed is at 4 rev/sec and slowed down to 2.8 rev/sec during the shearing
process. The flywheel has a mean diameter of 100 cm and weighs 0.20 kg/cm 3. The
width of the rim is 35 cm. If the hub and arms of the wheel contributes 10% of its total
weight, determine the thickness of the rim.
A. 1.4 cm
C. 2.1 cm
B. 1.7 cm
D. 2.5 cm
141.A flywheel weighing 100 kg has radius of gyration of 1200 mm. The flywheel
reaches a maximum speed of 120 rpm and slows down to 60 rpm. Determine the
energy released by the flywheel.
A. 54.5 KN-m
C. 75.6 KN-m
B. 65.1 KN-m
D. 85.3 KN-m
142. The mean diameter of the flywheel of a shearing machine is 76 cm. Its normal
operating speed is 3.3 rev/sec. It requires 2500 N-m of energy to shear a steel plate
and it slows down to 3 rev/sec during the shearing process. The width of the rim 30 cm
and the weight of the cast iron flywheel is 7210 kg/m 3. Assuming that the arms and
hub accounts for 10% of the rim weight concentrated at the mean diameter, find the
thickness of the rim.
A. 8.16 cm
C. 10.4 cm
B. 9.12 cm
D. 11.5 cm
143. A cast iron flywheel is rotated at a speed of 900 rpm and having a mean diameter
of 3 ft. If the weight of the rim is 75 lbs, what is the centrifugal force?
A. 31 034 lbs
C. 32 034 lbs
B. 31 430 lbs
D. 34 503 lbs
144. What pressure is required to punch a hole 3 inches diameter through a ½ in steel
plate?
A. 100 tons
C. 120 tons
B. 110 tons
D. 130 tons
145. A shearing machine requires 100 kg-m of energy to shear a steel sheet, and has
a normal speed of 3 rev/sec, slowing down to 2.8 rev/sec during the shearing process.
The flywheel has a mean diameter of 75 cm. Find the coefficient of fluctuation of the
flywheel.
A. 0.069
C. 0.089
B. 0.079
D. 1.031
146. What is the working strength of a 2 in bolt which is screwed up tightly in a packed
joint when the allowable stress is 15 ksi?
A. 8.50 tons
C. 10.25 tons
B. 9.25 tons
D. 12.75 tons
147. Compare the working strength of a 1 in bolt which Is screwed up tightly in a
packed joint when the allowable stress is 12 000 psi.
A. 2200 lbs
C. 3600 lbs
B. 2800 lbs
D. 4200 lbs
148. A machine bolt is lifting a load of 500 lbs. The bolt is made of SAE 1030 material
with Su = 710 ksi and Sy = 50 ksi, determine the stress area of the bolt.
A. 0.122 in2
C. 0.175 in2
2
B. 0.153 in
D. 0.225 in2
149. Find the no. of threads per inch, if the pitch screw is 2/11.
A. 5.5
C. 7.0
B. 6.5
D. 8.5
150 A 10 cm x 14 cm gas compressor is operating with a maximum pressure of 12
kg/cm2. There are 4 bolts with yield stress of 62 ksi which is evenly distributed in the
cylinder head of the compressor. Determine the shearing stress of the bolt.
A. 26.17 Mpa
C. 30.30 MPa
B. 28.20 Mpa
D. 34.50 Mpa
151. Find the tooth thickness on the both tooth circle of a 14 ½ degree full depth tooth
of 12 diameter pitch.
A. 0.131 in
C. 0.455 in
B. 0.234 in
D. 0.864 in
152. Find the tooth thickness on the tooth circle of a 20 degree full depth involute tooth
having a diametral pitch of 5.
A. 0.863 in
C. 0.108 in
B. 0.314 in
D. 0.563 in
153. The diameter of a pinion having 10 teeth of 5 diametral pitch and pressure angle
of 14 ½ degree is to be increased by 0.2746 in. The circular pitch equivalent to 5
diametral pitch is 0.6283. Find the arc tooth thickness at the standard pitch diameter.
A. 0.385 in
C. 0.543 in
B. 0.863 in
D. 0.534 in
154. The cylinder head of a 10 cm x 12 cm air compressor is held by four stud bolts
with yield stress of 4500 kg/cm2. If the maximum pressure in the compressor is 12
kg/cm2, determine the size in inches of UNF bolts required.
A. 3/8
C. 3/16
B. ¼
D. 5/8
155. Compute how many ½ inch diameter set screw required to transmit 4 hp at a
shaft speed of 900 rpm. The shaft diameter is 1 inch.
A. 2
C. 1
B. 3
D. 1.5
156. Compute the maximum deflection of a 22 coils helical spring having a load of 100
kg. The spring is squared and ground ends with modulus of elasticity of 78 Gpa,
outside diameter of 127 mm, wire diameter of 10.2 mm
A. 179 mm
C. 255 mm
B. 195 mm
D. 296 mm
157. Determine the maximum deflection of a 18 coil squared and ground helical spring
supporting a load of 50 kg. The modulus of elasticity in shear is 65 Gpa, OD of 10 cm
and 9.52 mm wire diameter.
A. 84 m
C. 92 mm
B. 86 mm
D. 97 mm
158. A three extension coil spring is connected in series that support a single load of
200 kgs. The first two spring is rated at 0.50 kg/mm and the last two spring is rated at
0.80 kg/mm. Compute the total deflection.
A. 2.450 m
C. 1.050 m
B. 2.202 m
D. 0.856 m
159. Compute the stress factor of the spring having an outside diameter of 9/92 cm
and wire diameter of 9.92 mm. The modulus of elasticity in shear is 85 Gpa and the
material us alloy of 18 coils.
A. 1.162
C. 1.195
B. 1.285
D. 1.456
160. Compute the wahl factor of the spring if the outside diameter is 10 cm and wire
diameter is 0.75.
A. 1.066
C. 1.66
B. 1.089
D. 1.25
161. Compute the stress factor of the spring if the inside diameter is 6 cm and wire
diameter is 0.5 cm.
A. 1.980
C. 1.109
B. 1.810
D. 1.019
162. A three extension coil springs are hooked in series that support a single load of
200 kgs. The first spring is rated 0.500 kg/mm and the other two lower is rated at 2.8
kg/mm. Compute the total deflection.
A. 542.8 mm
C. 582.4 mm
B. 674.2 mm
D. 972.1 mm
163. Four compression springs are arranged in parallel to support a load of 800 kgs.
The spring rate is 1.5 kg/mm. Determine the deflection of the springs.
A. 166 mm
C. 144 mm
B. 155 mm
D. 133 mm
164. Determine the no. of teeth of a gear having a velocity ration of 1.75. The pinion
has 36 teeth.
A. 63
C. 53
B. 58
D. 48
165. An internal gear is set up with 6 inches pinion and center distance of 30 inches.
Determine the diameter of the internal gear.
A. 60 in
B. 66 in
C. 72 in
D. 75 in
166. Three 28T idler are introduced between the pinion and the gear. The 24T pinion
rotates at 600 rpm and driving a final gear of 36T. Determine the final speed of the
gear and its relative to the driving gear rotation.
A. 400 rom and same direction
B. 400 rpm and opposite direction
C. 380 rpm and same direction
D. 250 rpm and opposite direction
167. Compute the tooth thickness on the tooth of a 20 degree full depth involute gar
having a circular pitch of 0.7854 in and whole depth of 0.72 in.
A. 7.65 mm
C. 8.55 mm
B. 7.95 mm
D. 9.97 mm
168. Compute the tooth thickness of 14 ½ degree involute gear with diametral pitch of
3.
A. 0.2546 in
C. 0.4876 in
B. 0.2765 in
D. 0.5236 in
169. A triple thread worm has a pitch diameter of 4 in. The wheel has 38T and a pitch
diameter of 10 in. Compute the helix angle.
A. 11.7 degree
C. 14.5 degree
B. 12.8 degree
D. 16.5 degree
170. Determine the tangential load transmitted by a spur gear. The spur gear rotates
at 1200 rpm and transmit 45 hp. The pitch diameter is 5 in and pressure angle is 14.5
degree.
A. 756.5 lb
C. 901.3 lb
B. 872.4 lb
D. 945.4 lb
171. Find the minimum clearance allowed for spur gear with diametral pitch of 8. The
spur gear has 96T.
A. 0.019625 mm
C. 0.6782 mm
B. 0.4984 mm
D. 0.9876 mm
172. Determine the circular pitch of a spur gear with diametral pitch of Π.
A. 1 in
C. 2.0 in
B. 1.5 in
D. 2.3 in
173. The specific gravity of cast iron is 7.2. Find the weight of 5 cubic inches of cast
iron.
A. 1.1 lbs
C. 1.2 lbs
B. 1.3 lbs
D. 1.4 lbs
174. The weight of a cubic inch of gold is 0.697 lb. Find the specific gravity.
A. 13.45
C. 17.23
B. 15.34
D. 19.31
175. If the diameter of driving pulley is 15 in and its speed is 180 rpm. The diameter of
the driven pulley is 9 in. Find the speed of driven pulley.
A. 100 rpm
C. 200 rpm
B. 300 rpm
D. 400 rpm
176. If the diameter of driving pulley is 24 in and its speed is 100 rpm, and the driven
pulley is to rotate 600 rpm, find the diameter of driven pulley.
A. 1 in
B. 3 in
C. 2 in
D. 4 in
177. If a cube of mass 200 kg is being moved on the conveyor belt at a speed of 3
m/s, what is the kinetic energy of the cube?
A. 800 J
C. 850 J
B. 900 J
D. 950 J
178. A pile driver weighing 200 lbs strikes the top of the pile after being fallen from a
height of 20 ft. If the forces a pile into the ground a distance of ½ ft. What is the
average force of the blow?
A. 8200 lbs
C. 8400 lbs
B. 8600 lbs
D. 8800 lbs
179. A pile driver of mass 100 kg falls 10 m and moves the pile a distance of 0.3 m.
What is the average force of the blow?
A. 23.45 KN
C. 54.23 KN
B. 33.68 KN
D. 43.23 KN
180. Compute the torsional deflection in degrees of 110 mm diameter, 1.4 m long shaft
subjected to a twist moment of 3 x 10 6N-m. The torsional modulus of elasticity is 83000
n/mm2.
A. 0.27
C. 0.20
B. 0.31
D. 0.24
181. The torsional moment (N) developed when a shaft delivers 20 kw at 200 rpm.
A. 0.85 x 106
C. 1.20 x 106
6
B. 1.0 x 10
D. 2.1 x 106
182. What is the carbon content range of SAE 4140 chrome-moly steel ater what
treatment?
A. 0.30/0.45
C. 0.30/0.50
B. 0.38/0.45
D. 0.38/0.43
183. Determine the load in KN on a 25 mm diameter x 1200 mm long steel shat if its
maximum elongation exceeds 1 mm.
A. 85
C. 103
B. 125
D. 93
184. Find the thickness of the metal needed is the semi-spherical end of cylinder
vessel 0.70 m in diameter subjected to an internal pressure of 2.7 N/mm 2. The material
is mild carbon steel and tensile stress is 69 N/mm2.
A. 5.2 mm
C. 7.53 mm
B. 6.02 mm
D. 6.84 mm
185. Determine the average time to cut by automatic oxy-acetylene crosswise a 4 ft x
8 ft x 4 in thick steel plates. (Oxy acetylene cutting speed = 9 in/min).
A. 6.85 min
C. 10 min
B. 318 sec
D. 360 sec
186. Compute the induced / compressive stress in Kpa of a steel solid shafting of 50
mm diameter and 800 mm in length that is subjected to an increase o temperatue by
80 deg. (k = 0.0000119 m/m-oC, E = 30 000 psi = 206 768 Mpa).
A. 181 816
C. 218 182
B. 242 816
D. 196 860
187. A mass weighing 56 lbs rest on horizontal surface. The force needed to move
along the sauce is 20 lbs. Determine the coefficient of friction.
A. 0.0
B. 0.112
C. 0.36
D. 0.38
188. The helical and herringbone gear teeth cut, after heat treatment should have a
hardness in the range of 310 / 300 BHN. The pinion gear teeth hardness, on the other
hand ideally / normally should be at _____ BHN.
A. 250 / 320
C. 250 / 350
B. 350 / 380
D. 340 / 350
189. Determine the time in seconds, to saw a rectangular magnesium bar 5 in wide
and 2 in thick if the length of cut is 5 in. The power hacksaw does 120 stokes / min and
the feed / stroke is 0.127 mm.
A. 189
C. 99
B. 500
D. 20
190. A car travels with an initial velocity of 10 m/sec or 36 km/hr. If it is decelerating at
a rate of 3 m/ sec–sec, how far in meters does it travels befoe stopping?
A. 17
C. 19
B. 21
D. 15
191. Compute the twisting moment in in-lb eveloped when the shaft delives 20 Hp at
1200 rpm.
A. 1166
C. 1050
B. 915
D. 945
192. A cylindrical tank with 10 in diameter contain oxygen gas at 2500 psi. Calculate
the required wall thickness in mm under stress of 28000 psi.
A. 10.54
C. 10.24
B. 11.34
D. 12.44
193. Compute for the load in KN on a 3 cm diameter, 100 cm long steel rod if its
maximum elongation exceed 0.12 cm.
A. 176
C. 148
B. 196
D. 287
194. A baseball is thrown straight upward with a velocity of 20 m/s. Compute for the
time elapsed for the ball to return. Assume for zero drag.
A. 1.84
C. 4.08
B. 2.21
D. 2.40
195. Compute for the polar section modulus of an SAE 1060 shafting having a
diameter of 3 in. Use factor of safety of 2 and design stress at 8000 psi.
A. 4.7
C. 4.2
B. 6.1
D. 5.3
196. Determine the diameter in inches of a steel countershaft that delivers 13.31 hp at
a speed of 15.7 rad/sec, the allowable material shear stress is 8.5 ksi.
A. 1
C. 2
B. 1 ½
D. 1 ¼
197. What angle shoul the road be banked to prevent a car to skid when traveling at
25 m/s at a radius of 200 m?
A. 21.1 deg
C. 19.8 deg
B. 17.67 deg
D. 14.55 deg
198. Compute the torsional deflection in degrees of 3 5/8 inches diameter 1.2 m long
shaft subjected to a twist moment of 3 x 10 6 N-mm. The torsional modulus of elasticity
is 80 000 Mpa.
A. 0.365
C. 0.355
B. 0.985
D. 1.025
199. Compute the tooth thickness of 14 ½ deg spur gear with diametral pitch of 7.
A. 5.7 mm
C. 7.5 mm
B. 6.8 mm
D. 9.8 mm
200 How many ½ in diameter set screw would be required to transmit 3 horsepower at
a shaft speed of 1000 rpm if the shaft diameter is 1 in?
A. 1
C. 2
B. 1.5
D. 2.5
201. How many 3/8 in diameter set screw would be required to transmit 3 horsepower
at a shaft speed of 1000 rpm if the shaft diameter is 1 in?
A. 1
C. 1.5
B. 2
D. 3
202. What is the working strength of a 1 inch bolt which is screwed up tightly in a
packed joint when the allowable working stress is 10 000 psi?
A. 3000 lbs
C. 3500 lbs
B. 4000 lbs
D. 4000 lbs
203. If the diameter of driven pulley is 36 inches and its required speed, 150 rpm, and
the speed of driving pulley is 600 rpm, then the diameter of driving pulley is?
A. 5 in
C. 7 in
B. 9 in
D. 11 in
204. Determine the working strength of a 1.25 in bolt screwed up tightly with a tensile
stress of 8000 psi.
A. 3475 lbs
C. 4375 lbs
B. 4175 lbs
D. 7543 lbs
205. Determine the displacement in meters of a jeepney skidding in asphalt road with
a velocity of 30 m/s befoe it stops when the stopping period is 4 sec.
A. 80
C. 100
B. 99
D. 60
206. Moment of inertia of a square cross section with a dimension “a” in each side.
A. a4/16
C. 0.1666a4
3
B. 0.208a
D. a4/12
207. A SAE 1040 has 1% Mn. The percent carbon content is in the range of:
A. 0.35/0.42
C. 0.37/0.44
B. 0.40/0.47
D. 0.28/0.32
208. Determine the deflection of a 4x8 in steel beam I the load P = 1000 lb and length
L = 25 ft.
A. 0.11 in
C. 0.14 in
B. 0.18 in
D. 1.1 in
209. How long it will take to mill a ¾ by 2 in long keyway in a 3 in diameter shafting
with 24 tooth cutter turning at 100 rpm and 0.005 in feed per tooth?
A. 0.136 min
C. 0.166 min
B. 0.196 min
D. 0.106 min
210 Find the tooth thickness of a gear with diametal pitch of 4.
A. 0.3178”
C. 0.4523”
B. 0.3925”
D. 0.5293”
211. Find the power in watts transmitted by a main transmitting shaft with diameter of
55 mm and speed of 200 rpm.
A. 15.45
C. 25.4
B. 18.926
D. 30.7
212. Find the polar moment of inertia of a square 3 ½ by 3 ½ in in 4.
A. 20
C. 30
B. 25
D. 35
213.Find the shearing stress of a rectangular steel tank with dimension L = 800 mm, W
= 100 mm, H = 400 mm. A force 2000 KN is applied at the edge of the which is welded
at the bottom.
A. 15 000 kpa
C. 25 000 kpa
B. 20 000 kpa
D. 30 000 kpa
214. Find the working pressure required to punch 4” diameter hole on 1/4” thick steel
plate.
A. 60 tons
C. 75 tons
B. 70 tons
D. 80 tons
215.0Find the working pressure required to punch 2” diameter hole on 1/2” thick steel
plate.
A. 60 tons
C. 75 tons
B. 70 tons
D. 80 tons
216. Compute or the diameter ( in inch) of a SAE 1030 steel shaft to tansmit 12 hp at
120 rpm with torsional deflection below 0.08 deg/foot length as required.
A. 2 7/8
C. 2 ¼
B. 2 5/8
D. 2 3/8
217. Find the center distance between gears with 50 teeth and 25 teeth if the diametral
pitch is 5.
A. 9.5 “
C. 8.5 “
B. 6.5 “
D. 7.5 “
218. Find the tooth thickness of a gear given diametral pitch of 5.
A. 0.2188
C. 0.4125
B. 0.31416
D. 0.5798
219. Compute for the load in KN on a 3 cm diameter 100 cm long steel rod if its
maximum elongation exceed 0.12 cm.
A. 178
C. 148
B. 196
D. 287
220. Find the polar section modulus of a hollow shaft with OD = 6” and ID = 3 “ in in 3.
A. 28.97
C. 45.45
B. 39.76
D. 51.98
221. Maximum number of tooth in a large driven sprocket.
A. 143
C. 127
B. 130
D. 132
222. A pair of gear with gear ratio of 3 and 60 gear teeth of 14 ½ degree full depth
tooth. The diametral pitch is 10. Compute the tooth thickness on the pitch circle.
A. 0.570 in
C. 0.157 in
B. 0.352
D. 0.142 in
223. What is the rate of acceleration of a body in ft/sec 2 having a mass o 60 kg if it is to
be lifted by a winch with a constant force of 80 kg?
A. 11
C. 33.2
B. 22
D. 42.9
224. Find the polar section modulus in cubic inch o a shaft with diameter 3 inches.
A. 2.65
C. 4.45
B. 3.55
D. 25.4
225. Determine the acceleration of an elevator weighing 200 lbs and load in the cable
is 210 lbs. Express the unit in ft/sec2.
A. 33.81
C. 62.3
B. 45.67
D. 75.6
226. Compute for the horsepower of a line shaft having a diameter of 1 7/8 in with a
speed of 200 rpm.
A. 25
C. 32
B. 27
D. 35
227. Tool bit in lathe operation is the same setting ____ deg/angle with horizontal to
have a good cutting operation position.
A. 20 deg
C. 16.5 deg
B. 30 deg
D. 55.5 deg
228. Determine the weight of ½ x 2 x 6 cast iron plate.
A. 245 lbs
C. 268 lbs
B. 280lbs
D. 350 lbs
229. A flywheel accelerates from rest at 5 rad/sec/sec in 5 seconds, how many
revolutions does it makes?
A. 13.5
C. 9.95
B. 11.4
D. 8.54
230. A short 40 mm diameter of a shaft having a rotational speed of 300 hp. Determine
the power transmitted.
A. 31 hp
C. 45 hp
B. 38 hp
D. 49 hp
231. Determine the diameter of a lineshaft transmitting 25 hp and having a speed of
225 rpm. The shear stress of the shaft is 6 ksi.
A. 1 7/8 in
C. 1 1/5 in
B. 1 ¾ in
D. 1 ¼ in
232. Compute the angular deflection of a shat in degress having a diameter of 4 5/8 in,
length 60 in, transmit 12 hp at 180 rpm. Use G = 11.5 x 10 6 psi.
A. 0.028 deg
C. 0.089 deg
B. 0.125 deg
D. 0.890 deg
233. Find the polar moment of inertia of a square 3 ½” by 3 ½ “.
A. 20 in4
C. 30 in4
B. 25 in4
D. 35 in4
234. Calculate the time in seconds of a 12 cm wood by using a bandsaw with a cutting
rate of 0.008 mm/rev and seed of 200 pm.
A. 4500
C. 3000
B. 4000
D. 1000
235. Compute the diameter in inches of a SAE 1030 steel shat to transmit 12 hp at
120 rpm with torsional deflection below 0.08 deg/ft length as required.
A. 2 7/8
C. 2 ¼
B. 2 5/8
D. 2 3/8
236. A 3 in diameter shot shat carrying 2 pulleys close to the bearings transmits how
much horsepower if the shat makes 280 rpm.
A. 198 hp
C. 200 hp
B. 219 hp
D. 210 hp
237. Find the center distance between gears with 50 teeth and 25 teeth if the diametral
pitch is 5.
A. 9.5 “
C. 8.5 “
B. 6.5 “
D. 7.5 “
238. Find the tooth thickness of a gear given diametral pitch of 5.
A. 0.2188
C. 0.4125
B. 0.31416
D. 0.5798
239. Compute for the load in KN on a 3 cm diameter 100 cm long steel rod if its
maximum elongation exceed 0.12 cm.
A. 178
C. 148
B. 196
D. 287
240. Find the polar section modulus of a hollow shaft with OD = 6” and ID = 3 “ in in 3.
A. 28.97
C. 45.45
B. 39.76
D. 51.98
241. Maximum number of tooth in a large driven sprocket.
A. 143
C. 127
B. 130
D. 132
242. A pair of gear with gear ratio of 3 and 60 gear teeth of 14 ½ degree full depth
tooth. The diametral pitch is 10. Compute the tooth thickness on the pitch circle.
A. 0.570 in
C. 0.157 in
B. 0.352
D. 0.142 in
243. Compute the tooth thickness on the tooth of a 20 degree full depth involute gar
having a circular pitch of 0.7854 in and whole depth of 0.72 in.
A. 7.65 mm
C. 8.55 mm
B. 7.95 mm
D. 9.97 mm
244. Compute the tooth thickness of 14 ½ degree involute gear with diametral pitch of
3.
A. 0.2546 in
C. 0.4876 in
B. 0.2765 in
D. 0.5236 in
245. A flywheel accelerates from rest at 5 rad/sec/sec in 5 seconds, how many
revolutions does it makes?
A. 13.5
C. 9.95
B. 11.4
D. 8.54
246. What is the bursting pressure of a steel shell with diameter of 3 ft and made opf
3/8 thick plate. The joint efficiency is 72% and the tensile strength is 55 ksi.
A. 1650 psi
B. 1750 psi
C. 1850 psi
D. 2150 psi
247. Determine the torque received by a shaft running at 540 rpm, transmitting 120
KW. Stress allowed is 60 N/mm2.
A. 2.12 KN-m
C. 3.50 KN-m
B. 2.95 KN-m
D. 4.20 KN-m
248. A 3 in diameter short shaft carrying 2 pulleys close to the bearings transmits how
much horsepower if the shat makes 280 rpm.
A. 198 hp
C. 200 hp
B. 219 hp
D. 210 hp
249. Find the center distance between gears with 50 teeth and 25 teeth if the diametral
pitch is 5.
A. 9.5 “
C. 8.5 “
B. 6.5 “
D. 7.5”
250. Two parallel; shafts connected by a pure rolling turn in the same direction having
a speed ratio of 2.75. What is the distance of the shafts if thesmaller cylinder is 22 cm in
diameter?
A. 16.67 cm
C. 30.25 cm
B. 25.25 cm
D. 19.25 cm
251. A line shaft runs at 360 rpm. An 18” pulley on the shaft is belt connected to a 12”
pulley on the counter shaft. From a 15” pulley on the counter shaft, motion is transmitted
to the machine. Compute the required diameter of the pulley on the machine to give a
spindle speed of 660 rpm.
A. 16”
C. 12 1/4”
B. 10 ½”
D. 8 ½”
252. The diameter of a pinion having 10 teeth of 5 diametral pitch and pressure angle
of 14 ½ degree is to be increased by 0.2746 in. The circular pitch equivalent to 5
diametral pitch is 0.6283. Find the arc tooth thickness at the standard pitch diameter.
A. 0.385 in
C. 0.543 in
B. 0.863 in
D. 0.534 in
253. A 5 ft diameter pulley is turning at 200 rpm. Find the speed of the pulley mid-way
of the center and the outer surface of the pulley.
A. 20.45 ft/s
C. 24.34 ft/s
B. 30.45 ft/s
D. 26.18 ft/s
254. A wheel is turning at 360 rpm. If tangential speed of the wheel is 150.80 ft/s, what
is the radius of the flywheel?
A. 8 ft
C. 4 ft
B. 2 ft
D. 10 ft
255. Two cylinders rolling in opposite direction has a speed ratio of 3. If the center
distance is 40 in, find the diameter of smaller cylinder.
A. 20 in
C. 40 in
B. 60 in
D. 80 in
256. Three cylinders A:B:C rolling in external contact has a speed ratio of 4:2:1. If the
diameter of cylinder A is 10 cm, find the center distance between cylinder A and C.
A. 40 cm
C. 45 cm
B. 35 cm
D. 50 cm
257. Four cylinders A:B:C:D has a speed ratio of 6:4:2:1. If center distance A and C is
30 in, find the center distance A and D.
A. 68.57 m
C. 56.34 m
B. 83.45 m
D. 76.34 m
Situational Problem:
A gear having 60 teeth is being driven by a 12 tooth gear running at 800 rpm.
Dtermine the following:
258. The speed of the driven gear.
A. 150 rpm
C. 170 rpm
B. 160 rpm
D. 180 rpm
259. The speed of the driven gear if 24 tooth idler gears were placed between the
driving and driven gears.
A. 150 rpm
C. 170 rpm
B. 160 rpm
D. 180 rpm
260. The speed of the driven gear if two 24 tooth idler gears were placed between the
driving and driven gears.
A. 150 rpm
C. 170 rpm
B. 160 rpm
D. 180 rpm
261. The direction of rotation of the driven gear when one idler are used.
A. the same
C. ahead
B. opposite
D. none of these
262. The direction of rotation of the driven gear when two idler are used.
A. the same
C. ahead
B. opposite
D. none of these
Situational Problem:
A machine shop somewhere in Quezon City Fabricated a pair of spur gear 2.5
module and to be mounted on shafts with a center line distance of 90 mm. The speed
ratio required is 3:1. Dtermine the following:
263. Pitch diameter of the gear.
A. 135 mm
C, 145 mm
B. 140 mm
D. 150 mm
264. Number of teethof the gear.
A. 50 teeth
C. 54 teeth
B. 52 teeth
D. 56 teeth
265. Circular pitch.
A. 6.23 mm
B. 7.85 mm
266. Addendum distance.
A. 2.50 mm
B. 3.0 mm
C. 8.37 mm
D. 9.02 mm
C. 3.5 mm
D. 4.0 mm
267. Clearance.
A. 0.125 mm
B. 0.250 mm
C. 0.425 mm
D. 0.625 mm
268. Dedendum distance.
A. 2.33 mm
C. 4.66 mm
B. 3.125 mm
D. 5.99 mm
269. Whole depth.
A. 2.38 mm
B. 3.02 mm
C. 4.36 mm
D. 5.325 mm
270. Working depth.
A. 3 mm
B. 4 mm
C. 5 mm
D. 6 mm
271. Tooth thickness.
A. 3.93 mm
B. 4.34 mm
C. 5.38 mm
D. 6.34 mm
272. Space width.
A. 3 mm
B. 4 mm
C, 5 mm
D. 6 mm
273. Outside diameter of the gear
A. 120 mm
C. 140 mm
B. 130 mm
D. 150 mm
274. Root diameter of the pinion.
A. 28.75 mm
C. 17.45 mm
B. 32.34 mm
D. 38.75 mm
275. A steel rod 30 mm and 80 mm long has an allowance elongation not to exceed
1.5 mm, find the allowable load in KN.`
A. 278
C. 316
B. 248
D. 263
276. Compute the induce/compressive stress, in KPa of a solid shafting of 50 mm
diameter and 800 mm in length that is subjected to an increase of temperature by 80º.
A. 181 816
C. 218 182
B. 242 816
D. 196 560
277. Compute the load in Kn on a 3 cm diameter, 100 cm long steel rod if its maximum
elongation exceed 0.12 cm.
A. 178
C. 148
B. 196
D. 287
278. Compute for the polar section modulus of a SAE 1060 shafting having a diameter
of a 3 inches. Use the factor of safety of 2 and a design stress at 800 psi.
A. 4.7
C. 4.2
B. 6.1
D. 5.3
279. Compute the allowable load in KN on a 20 mmx120mm long steel rod if its
maximum elongation must not exceeds 1 mm.
A. 35
C. 66
B. 55
D. 76
280. Determine the loadin KW on a 25 mm diameter x 1200 mm long steel shaft if its
elongation exceeds 1 mm.
A. 83
C. 103
B. 125
D. 234
281. The total weigth of steel plates ¾ in x 3ft x 20ft is:
A. 1838 lbs
C. 3676 lbs
B. 1698 lbs
D. 1848 lbs
282. What pressure is required for funching a hole 2 inches in diameter thru a ¼ in
steel plate?
A. 10 tons
C. 20 tons
B. 30 tons
D. 40 tons
283. A link has aload factor of 0.8, the surface is 0.92 and the endurance strength is
28 000 psi. Compute the alternating stress of the link if it is subjected to a reversing
load. Assume factor of safety of 3.
A. 8150
C. 9333
B. 10920
D. 7260
284. Determine the minimum diameter of a taper pin for use to fix a lever to a shaft, if it
is transmit a minimum torque of 700in-lbs. The shaft diameter is 2 in and the material
allowable stresses is 15 000 psi. Use factor of safety of 2.
A. 7.0 mm
C. 5.2 mm
B. 7.2 mm
D. 6.2 mm
285. How many 5/16 in holes can be punch in one motion in a steel plate m,ade of
SAE 1010 steel, 7/16 in thick using a force of 55 tons. The ultimate stregth for shear is
50 ksi and use 2 factor of safety.
A. 5.8
C. 5
B. 3.7
D. 6.2
286. The shaft whose torque varies from 6000 in-lbs has 1 ½ inches 9in diameter and
60 000 psi yield strength. Compute for the shaft mean average stress.
A. 6036psi
C. 5162 psi
B. 6810 psi
D. 5550 psi
287. A journal bearing with diameter of 76.2 mm is subjected to a load of 4900 N while
the rotating at 200 rpm. If its coefficient of friction is 0.2 and L/D, find its projected area
in mm2..
A. 12 090
C. 14 165
B. 13 050
D. 14 516
288. A steel tie rod on bridge must be made withstand a pull of 5000lbs. Find the
diameter of the rod assuming a factor of safety of 5 and ultimate stress of 64 000 psi.
A. 0.75
C. 0.71
B. 0.84
D. 0.79
289. If the weigth of 6” diameter by 48” long SAE 1030 shafting is 174.5, then what will
be the weigth of chromium SAE 51416 of same size?
A. 305.5 lbs
C. 426.4 lbs
B. 384.6 lbs
D. 465.1 lbs
290. If the ultimate shear strength of a steel plates is 42 000 psi what force is
necessary to punch a 0.75 in diameter hole in a 0.625 inch thick plate?
A. 63 008 lbs
C. 68 080 lbs
B. 61 800 lbs
D. 66 800 lbs
291. What is the modulus of elasticity if the stress is 4000 psi and the unit strain of
0.00105?
A. 41.905 x 106
C. 42.300 x 106
6
B. 41.202 x 10
D. 43.101 x 106
292. A2.5 in diameter bhy 2 in long journal bearing is to carry a 5500lb load at 3600
rpm using SAE 40 lube oil at 200ºF through a single hole at 25 psi. Compute the
bearing pressure.
A. 1100 psi
B. 1000 psi
C. 900 psi
D. 950 psi
293. If the ultimate shear stress of a steel plate is 35 000 psi, what force is necessary
to punch a 1.5 in diameter hole in a 1/8 inch thick plate?
A. 20 617 lbs
C. 41 324 lbs
B. 30 925 lbs
D. 61 850 lbs
294. What force P is required to punch a ½ in hole on a 3/8 in thick plate if the ultimate
shear strength of the plate is 420000 psi?
A. 24 940 lbs
C. 24 620 lbs
B. 24 690 lbs
D. 24 740 lbs
295. What modulus of elasticity intension is requiredto obtain a unit deformation of
0.000105 m/m from a load producing a unit tensile stress of 44 000 psi?
A. 42.300 x 106
C. 41.202 x 106
6
B. 43.101 x 10
D. 41.905 x 106
296. What pressure is required to punch a hole 2 inch diameter through a ¼ in steel
plate?
A. 10 tons
C. 20 tons
B. 30 tons
D. 40 tons
297. Compute the working strength of a 1 in bolt which is screwed up tigthly in packed
joint when the allowable working stress is 13 000 psi.
A. 3600 psi
C. 3950 psi
B. 3900 psi
D. 3800 psi
298. What is the working strength of a 2” bolt which is scrwed up tigthly in a packed
joinly when the allowable working stress 12 000 psi?
A. 20 120 lbs
C. 20 100 lbs
B. 20 400 lbs
D. 20 200 lbs
299. Determine the estimated weigth of an A-36 steel plate size ½ in x 4 ft x 8 ft.
A. 280 kgs
C. 323 kgs
B. 301 kgs
D. 297 kgs
300. Determine the estimated weigth of an A-36 plates size 3/16” x 6’ x 20’.
A. 919 lbs
C. 1012 lbs
B. 829 lbs
D. 735 lbs
301. A 19 mm stud bolt is used to fastened on a 250 mm diameter cylinder head of
diesel engine. If there are 10 stud bolts, determine the pressure insidethe cylinder if bolt
stress is limited to 50MPa.
A. 288.8 KPa
C. 3426 KPa
B. 2888 KPa
D. 4828 KPa
302. A column supports a compressive load of 250 KN. Determine the outside
diameter of column if inside diameter is 185 mm and compressive stress os 50 MPa.
A. 200.62 mm
C. 216.42 mm
B. 201.47 mm
D. 208.41 mm
303. A steel hollow tube is to carry a tensile load of 500 KN at a stress of 140 MPa. If
outside diameter is 10 times the tube thickness, find the thickness of the tube.
A. 11.24 mm
C. 20.64 mm
B. 107 mm
D. 22.61 mm
304. A 20 mm diameter rivet is used to fastened two 25 mm thick plate. If the shearing
stress is 80 MPa. What tensile force applied eachplate to shear the bolt?
A. 26.35 KN
B. 28.42 KN
C. 30.41 KN
D. 25.13 KN
305. What force is necessary to punch a 30 mm hole in a 12.5 mm thick plate if
ultimate shear stress is 410 MPa?
A. 564 KN
C. 483 KN
B. 342 KN
D. 983 Kn
306. Two 30 mm thick plate is fastened by two bolts, 25 mm in diameter. If the plates
is subjected to 50Kn tension, find the bearing stress in bolts.
A. 33 333.33 KPa
C. 5555.55 KPa
B. 4444.44 KPa
D. 555 555 Kpa
307. A 2.5 inches shaft is subjected to 3 KN-m torque. Find the stress developed.
A. 48.62 MPa
C. 59.68 MPa
B. 52.75 MPa
D. 38.64 Mpa
308. A shaft when subjected to pure
moment of inertia is 6.1359 x 10 -7 m4,
handle.
A. 1.23 KN-m
B. 1.68 KN-m
torsion developed a stress of 50Mpa . If polar
dtermine the maximum torque the shaft could
C. 1.84 KN-m
D. 2.48 KN-m
309. What is the modulus of elasticity if stress is 300 MPa and strain of 0.00138?
A. 217.39 x 103 MPa
C. 220.61 MPa
3
B. 200.61 x 10 MPa
D. 215.21 Mpa
310. In a 2 m cantilevered I-beam, a 2 Mton weigth is applied at a free end. If the
allowable stress in beam is 110 MPa, determine the section modulus.
A. 18.54 in3
C. 26.38 in3
3
B. 21.77 in
D. 24.28 in3
311. A 5 KN force acting at the end of a 3 m canlilever beam. If section modulus of the
beam is 103, what is the stress induced?
A. 86 245 KPa
C. 29 684 KPa
B. 78 318 KPa
D. 91 535 KPa
312. A 6 mm steel wire is 5 m long and stretches 8 mm under a given load. If modulus
of elasticity is 200 Gpa, find the load applied.
A. 7 KN
C. 9 KN
B. 8 KN
D. 10 KN
313. A steel wire10 m long , hanging vertically sypports a tensile load of 2 KN.
Nglecting the weigth of wire, determine the required diameter if the stress is not to
exceed 140 MPa and the total elongation is not to exceed 5 mm. Assume E= 200 Gpa.
A. 2 mm
C. 4 mm
B. 3 mm
d. 5 mm
314. An iron rod 4 m long and 0.5 cm 2 in cross section stretches 1 mm when a mass of
225 kg is hang on it. Compute the modulus of elasticity of the iron.
A. 176.58 Gpa
C. 160.41 Gpa
B. 169.81 Gpa
D. 180.26 Gpa
315. A 20 m rod is stretches to strain of 0.001. Determine the deflection of the rod.
A. 20 mm
C. 30 mm
B. 25 mm
D. 35 mm
316. A rail having a coffecient of linear expansion of 11.6 x 10 -6 m/m-ºC increases iots
length when heated from 70ºF to 113ºF. Determine the strain.
A. 2.04 x 10-4
B. 6.05
x 10-4
C. 4.21 x 10-4
D. 2.77 x 10-4
317. What temperature will the rails just touch if steel railroad is 10 m long are laid with
clearance of 3 mm at initial temperature of 15ºC? Use k= 11.7 x 10 -6 m/m-ºC.
A. 35.64 ºC
C. 45.64 ºC
B. 40.64 ºC
D. 50.64 ºC
318. For a given material, the modulus of elasticity is 15 000 0000 psi in tension and 6
000 000 psi in shear. Determine the poisson’s ratio for this material.
A. 0.4
C. 0.3
B, 0.25
D. 0.5
319. A 1000 lb force acts at the end of a 10 ft cantilever beam. The section modulus
for the steel beam is 8.0 in3. How much stress is induced?
A. 10 000 psi
C. 12 000 psi
B. 15 000 psi
D. 14 200 psi
320. For given material, the modulus of elasticity is 100 GN/m 3 in tension and 40
GN/m3 inm shear. Find the poisson’s ratio.
A. 0.10
C. 0.25
B. 0.50
D. 0.35
321. What force is necessay to punch a 1 in hole in a 1/8 in steel plate if the ultimate
shearing stree is 60 000 psi and the ultimate compressive stress is 80 000 psi?
A. 34 520.34 lb
C. 12 344.56 lb
B. 8 345.56 lb
D. 23 561.90 lb
322. A 25 mm shaft is keyed to a 300 mm diameter pulley and transmits a 3 Kw of
power. The keyed assembly rotates at 1725 rpm. What is the tangential force at the
key?
A. 1.33 KN
C. 2.33 KN
B. 5.23 KN
D. 8.34 KN
323. A U bolt supports a load of 6000 lb. The cross section of the bolt has a diameter
of ½ in. How much stress is induced in the sides of the bolt?
A. 12 734.45 psi
C. 13 345. 56 psi
B. 14 567.23 psi
D. 15 278.12 psi
324. A 1 in diameter shaft has a 2 in diameter collar resting on a support. The axial
load on the shaft is 10 000 lb and the thickness of the collar is ½ in. How much shearing
stress is induced?
A. 6 366.20 psi
C. 5 244.56 psi
B. 4 234.53 psi
D. 8 456.34 psi
325. A hollow rivet has an outside diameter of 5 mm and an inside diameter of 3 mm. If
the allowable shearing stress is 400 x 10 6 N/m2, what maximum shearing force can the
rivet sustain if subjectedto double shear?
A. 10 KN
C. 15 KN
B. 20 KN
D. 25 KN
326. A vertical loads of 400 N acts at the end of a horizontal rectangular cantilever
beam 2 m long and 25 mm wide. If the allowable bending stress is 130 MN/m 2, find the
depth of the beam in mm.
A. 23.44 mm
C. 30.23 mm
B. 38.43mm
D. 43.23 mm
327. A simply supported timber beam is 50mm by 200 mm in cross section and 4 m
long. If the fiber stress is not to exceed 8.3 MPa and the beam weigth is neglected, find
the maximum mid-span concentrated load that the beam can support if the 200 mm
dimension is vertically oriented.
A. 2 766.67 N
C. 2 345.56 N
B. 3 233.45 N
D. 1 234.45 N
328. A lap joint consists of steel plate 250 mm by 18 mm in thickness is connected by
a 4-20 mm diameter rivets. Compute the bearing capacity of the rivet connection if the
allowable bearing stress is 210 Mpa.
A. 302 400 N
C. 420 340 N
B. 360 200 N
D. 460 240 N
329. A steel hanger of 2 m length is to carry an axial load of 18K. If the tensile stress is
restricted to 104 Mpa and the elongation caussed by this load is restricted to 1 mm.
What is the minimum cross-sectional area the member can have? E= 200 000 Mpa.
A. 180 mm2
C. 164 mm2
B. 173 mm2
D. 190 mm2
330. A short hollow steel cylinder with a wall thickness of 38 mm is to carry a
compression load, applied uniformly on the end of 7800 KN. If the allowable working
stress in steel in compression is 138 MPa, then the minimum outside diameter of the
cylinder required to safely support the load is:
A. 512 mm
C. 396 mm
B. 482 mm
D. 460 mm
331. A 25 mm diametere steel bar is loaded in double shear until failure, the ultimate
load is found to be 446 KN. If the allowable stress isto be based on a factor of safety 3
what must be the diameter of a pin designed for an allowable load 26 KN in single shear
be?
A. 14.79 mm
C. 13.24 mm
B. 15.64 mm
D. 12.63 mm
332. A steel bar, initially free at rest is held between rigid supports. Determione the
stress in the bar if temperature drops 130ºF. k= 6.5 x 10 -6 in/ºF, E= 30 x 106 psi
A. 25 350 psi
C. 24 896 psi
B. 26 234 psi
D. 23 654 psi
333. A steel rod with a cross sectional area of 160 mm 2 isto be attached between two
fixed points 1.25 m apart. If thr rod is too short by 0.25 mm, find the stress applied to put
the rod back tofitness. E= 200 000 MPa.
A. 40 MPa
C. 50 MPa
B. 30 MPa
D. 60 MPa
334. If the ultimate shear stress of a steel plate is 35 000 psi, what force is necessary
to punch a 1.5 in diameter hole in a 1/8 in thick plate?
A. 20 617 lbs
C. 41 234 lbs
B. 30 925 lbs
D. 61 850 lbs
335. A shearing machine is used to crop off legths of a round bar 20 mm diameter. If
the ultimate shear strength of thr material is 160 MPa, calculate the force needed to
crop the bar?
A. 48 KN
C. 50.3 KN
B. 53 Kn
D. 55 KN
336. The force of a point of a shaper when cutting is 1500 N. If the length of the stroke
is 120 mm, how much work is done in one cutting stroke?
A. 180 J
B. 195 J
C. 200 J
D. 100 J
337. The shear strength of the plate is 300 MPa. Calculate the force required to punch
a hole 40 mm diameter in a plate 7 mm thick.
A. 200 KN
C. 250 KN
B. 230 KN
D. 264 KN
338. The shear strength of a shaft is not to exceed 30 MPa. The shaft is 100 mm.
What is the greatest torque that can be replaced on it?
A. 5900 J
C. 6200 J
B. 6100 J
D. 5200 J
339. Determine the load in KN on a 30 mm diameter by 1000 mm long steel shaft if its
maximum elongation will not exceed 1.2 mm.
A. 167
C.199
B. 176
d. 245
340. Compute the polar section modulus in cu. Inches of an SAE 1060 shafting having
a diameter of 3 inches, Use factor of safety of 2 and a design stress at 8000 psi.
A. 4.7
C. 4.2
B. 6.1
D. 5.3
341. A shaft is subjected to a twisting moment of 3.6 KN-m. The shaft is steel having
83 Gpa modulus of rigidity. The torsional shear stress in MPa in a 76 mm circular shaft
is:
A. 40
C. 36
B. 39
D. 41
342. A cantilever beam is 5 ft long and a square cross section: 2 inches on each side,
is loaded at its end by a vertical force of magnitude 500 lbs. Determine the magnitude of
the reaction of the fixed end.
A. 100 lbs
C. 500 lbs
B. 250 lbs
D. 1000 lbs
343. A steel test specimen is 3/8 in diameter at the root of the thread. It is to be
stressed to 40 000 psi tension. What load in lbs must be applied?
A. 4418
C. 4481
B. 4814
D. 8441
344. A 100 in long aluminum bar is subjected to a tensile stress of 25 000 psi. Findthe
elongation if E= 10 x 106 psi.
A. 0.025 in
C. 0.45 in
B. 0.25 in
D. 0.65 in
Situtional Problem:
A 16 mm plate is lapped over and secured by a fillet weld on the inside and
outside to form a penstock 1.5 m diameter , An allowable stress of 140 Mpa on the plate
and an allowable shearing stress os 90Mpa on the throat side of the 14 mm fillet weld.
Determine:
345. The internal pressure that can be carried by the plate.
A. 3 Mpa
C. 7 Mpa
B. 5 Mpa
D. 9 Mpa
346. The internal pressure that can be carried by the welded joint.
A. 1.38 Mpa
C. 3.38 Mpa
B. 2.38 Mpa
D. 4.38 Mpa
347. The thickness of the plate if the internal pressure is 2 MPa (neglecting welded
joint).
A. 16.67 mm
C. 14.67 mm
B. 18.67 mm
D. 12.67 mm
348. The thickness of the plate if the internal pressure is 20 Mpa (neglecting welded
joint).
A. 130.17 mm
C. 170.17 mm
B. 160.17 mm
D. 190.17 mm
349. Factor of safety of the plate if ultimate stress is 450 Mpa.
A. 3
C. 5
B. 4
D. 6
Situitional Problem:
Consider a 304.8 mm section of a single-riveted lap joint made up with plates
of6.35 mm thickness and 6 rivets, 15.87 mm diameter. Assume that the rivet holes and
rivets 15.87 mm in diameter. Assume that rivet holes are 1.58 mm larger in diameter
than the rivets. In this joint, the entire load is transmitted from one plate to the other by
means of the rivets. Each plate and the six rivets carries the entire load. Design stress
for shear is 598 kg/cm2, for bearing, 1406 kg/cm 2 and for tension, 703 kg/cm 2. Assume
that the rivets will not tear or shear through the plate to the edge of the joints. Find:
350.. The force that can becarried by unpunched plate.
A. 13 606.40 kg
C. 17 606.40 kg
B. 15 606.40 kg
D. 19 606.40 kg
351. The force to cause tensile stress on the plate between rivets.
A. 6 394.56 kg
C. 8 932.6 kg
B. 7 083.09 kg
D. 9 099.40 kg
352. The force to cause shearing stress on rivets.
A. 7 580.90 kg
C. 9 580.90 kg
B. 8 580.90 kg
D. 10 580.90 kg
353. The force to cause bearing stress on rivets.
A. 9 347.70 kg
C. 11 347.70 kg
B. 10347. 70 kg
D. 12 347.70 kg
354. The efficiency.
A. 56.34%
B. 63.06%
C. 60.45%
D. 76.34%
355. Compute for the twisting moment in in-lb developed when the shaft delivers 20 hp
at 1200 rpm.
A. 1166
C. 1050
B. 915
D. 945
356. Find the torsional deflection, in degrees, of a solid steel shaft, 110 mm OD x 1.4
m long subject to 3.1 x 10 6 N-mm torque. The torsional modulus of elasticity is 80,000
N/mm2.
A. 0.221
C. 0.28
B. 0.195
D. 0.21
357. Compute for the torsional deflection in degrees of a 110 mm diameter, 1.4 m long
shaft subjected to a twist moment of 3 x 10 6 N-mm. the torsional modulus of elasticity
is 83,000 N/mm2.
A. 0.27
B. 0.31
C. 0.20
D. 0.24
358. Find the torsional momment (in Newton-mm), developed when the shaft delivers
20 kw at 2000 rpm.
A. 0.75 x 106
C. 1.20 x 106
6
B. 1.0 x 10
D. 2.10 x 106
359. A 102 mm diameter shaft is driven at 3000 rpm by a 300 hp prime mover. The
shaft drives a 121.9 cm diameter chain sprocket having 85% output efficiency.
Compute the torque in in-lb developed in the shaft.
A. 5,600
C. 8,150
B. 7,100
D. 6,300
360. A 3 in diameter short shaft carrying pulleys close to the bearings transmit how
much horsepower if the shaft makes 280 rpm?
A. 991 hp
C. 199 hp
B. 919 hp
D. 260 hp
361. What power would a spindle 55 mm in daimeter transmit at 480 rpm stress
allowed for short shaft is 59 N/mm2.
A. 98.68 kw
C. 68.98 kw
B. 96.88 kw
D. 68.89 kw
362. A hollow shaft has an inner diameter of 0.035 m and an outer diameter of 0.06 m.
Compute the torque if the shear stress is not to exceed 120 Mpa in N-m.
A. 4,400 N-m
C. 4,500 N-m
B. 4,300 N-m
D. 4,200 N-m
363. What power would a spindle 55 mm in diameter transmit at 480 rpm. Stress
allowed for short shaft is 59 N/mm2.
A. 45.12 kw
C. 45 Hp
B. 50.61 kw
D. 39.21 kw
364. A small countershaft is 1.5 inch in diameter and has an allowable stress of 8500
psi. Find the horsepower delivered by the shaft at a speed of 15.7 rad/s.
A. 7.20
C. 13.31
B. 1.4
D. 14.72
365. Determine the torque received by a motor shaft running at 4250 rpm,
transmittingb11 Hp, through a 10 in diameter, 20°involute gear. The shaft is
supported by ball bearings at both ends and the gear is fixed at the middle of 8 in shaft
length.
A. 163 in-lb
C. 132 ft-lb
B. 167 ft-lb
D. 138 ft-lb
366. A 16 ft lineshaft has no bending action except its own weight. What power in Hp
can the shaft deliver at a speed of 200 rpm. Consider that the torsional deflection will
not exceed 0.08/ft length.
A. 13.2
C. 24.4
B. 15.8
D. 14.8
367. The torsional deflection of a SAE 1040 steel shaft is 0.8°in a length of 1/2 m.
The shear stress is 69 Mpa. Compute the diameter of the shaft in millimeter. Steel
modulus of elasticity is 79,300 Mpa or N/mm2.
A. 51
C. 75
B. 50
D. 62
368. Compute the diameter of a solid shaft transmitting 75 Hp at 1800 rpm. The nature
of the load and the type of saervice is such that the allowable S s based on pure torsion
is 6000 psi.
A. 1 7/7"
C. 1 5/6"
B. 2 1/16"
D. 3 1/8"
369. The shaft is subjected to a steady load of 36,00 lbs at a shear stress of 10,000
psi. Compute the diameter of the said shaft in inches.
A. 1 7/8
C. 3
B. 2 1/4
D. 2 3/4
370. Determine the torque received by the motor shaft running at 4,250 rpm,
transmitting 11 Hp through a 10 in diameter 20°involute gear. The shaft is supported
by ball bearings at both ends and the gear is fixed at the shaft length.
A. 163 in-lb
C. 167 in-lb
B. 132 in-lb
D. 138 in-lb
371. Compute the maximum unit shear in a 3 inches diameter steel shafting that
transmits 24,000 in-lb o torque at 99 rpm.
A. 4530 psi
C. 4250 psi
B. 3860 psi
D. 4930 psi
372. Compute the linear shaft diameter to transmit 12 Hp at 180 rpm with torsional
deflection of 0.08 degrees per foot length.
A. 3 in
C. 5 cm
B. 2.35 in
D. 62 mm
373. Compute the nominal shear stress at the surface in Mpa for a 40 mm diameter
shaft that transmits 750 kw at 1500 rpm. Axial and bending loads are assumed
negligible. Torsional shearing stress is 28 N/mm2.
A. 218
C. 312
B. 232
D. 380
374. A hollow shaft has an inner diameter of 0.035 m and outer diameter of 0.06 m.
Compute for the torque if the shear stress is not to exceed 120 Mpa in N-m.
A. 4500
C. 4100
B. 4300
D. 4150
375. Design the size of solid steel shaft to be used for a 500 Hp, 250 rpm application if
the allowable torsional defelction is 1°and the allowable stress is 10,000 psi and
modulus of rigidity is 13 x 106 psi.
A. 5" dia
C. 4-5/8" dia
B. 4-7/8"dia
D. 4-3/4" dia
376. A 2-in solid shaft is driven by a 36-in, gear and transmits power at 120 rpm. If
allowable shearing stress is 12 ksi, what horsepower can be transmitted?
A. 29.89
C. 35.89
B. 38.89
D. 34.89
377. A short 61 mm diameter shaft transmits 120 Hp. Compute the linear speed of a
pulley 55 cm diameter mounted on the shaft.
A. 1796 fpm
C. 1766 fpm
B. 1856 fpm
D. 2106 fpm
378. A hollow shaft has an inner diameter of 0.035 m and outer diameter of 0.06 m.
Determine the polar moment of inertia of the hollow shaft.
A. 1.512 x 10-6 m4
C. 1.215 x 10-6 m4
-6
4
B. 1.152 x 10 m
D. 1.125 x 10-6 m4
379. Compute the speed of a gear mounted on a 52.5 mm diameter shaft receiving
power from a driving motor with 250 Hp.
A. 2182 rpm
C. 2071 rpm
B. 2282 rpm
D. 2341 rpm
380. A solid cylindrical shaft 48.2 cm long is used for a transmission of mechanical
power at a rate of 37 kw running at 1760 rpm. The S s is 8.13 Mpa. Calculate the
diameter.
A. 30 mm
C. 35 mm
B. 40 mm
D. 50 mm
381. A hollow shaft with outside diameter of 14 cm and wall thickness of 0.8 cm
transmits 200 kw at 400 rpm. What must be the angular deflection of the shaft if the
length is 5 meters? The material of the shaft is C4140 steel.
A. 0.84 deg
C. 1.83 deg
B. 1.14 deg
D. 1.50 deg
382. A 3 in diameter short shaft carrying 2 inches pulleys close to the bearings
transmits how much power if the shaft makes 280 rpm.
A. 199 Hp
C. 198 Hp
B. 200 Hp
D. 210 Hp
383. A step shaft made of SAE 1117 steel with an ultimate strength of 69.7 ksi. The
notch sensitivity factor is 0.00435 is the constant dependent upon the ultimate strength,
check the radius stress raiser.
A. 0.192
C. 0.250
B. 0.386
D. 0.775
384. A shaft is used to transmit 200 kw at 300 rpm by means of a 200 mm diameter
sprocket. Determine the force tangent to the sprocket.
A. 60.44 KN
C. 60.88 KN
B. 60.33 KN
D. 63.66 KN
385. Find the diameyter of the steel shaftwhich will be used to operate a 110 kw motor
rotating at 5 rps if torsional stress is 90 Mpa.
A. 60.2 mm
C. 38.3 mm
B. 58.3 mm
D. 46.2 mm
386. What is the speed of 63.42 mm shaft that transmits 75 kw if stress is not to
exceed 26 Mpa?
A. 550 rpm
C. 650 rpm
B. 660 rpm
D. 700 rpm
387. A steel shaft transmits 50 Hp at 1400 rpm. If allowable stress is 500 psi, find the
shaft diameter.
A. 3.58 in
C. 1.65 in
B. 2.84 in
D. 2.54 in
388. A hollow shaft that has a 100 mm outside diameter and 80 mm inside diameter is
used to transmit 100 kw at 600 rpm. Determine the shaft stress.
A. 13.73 Mpa
C. 19.86 Mpa
B. 16.82 Mpa
D. 17.21 Mpa
389. Determine the length of the shortest 2 mm diameter bronze wire which can be
twisted through two complete turns without exceeding a shearing stress of 70 Mpa. G=
35,000 Mpa.
A. 6,283 mm
C. 4,836 mm
B. 5,484 mm
D. 7,263 mm
390. A hollow shaft developed a torque of 5 KN-m and shaft stress is 40 Mpa. If
outside diameter of shaft is 100 mm, determine the shaft inner diameter.
A. 68.43 mm
C. 58.38 mm
B. 63.28 mm
D. 77.64 mm
391. What is the polar moment of inertia of a solid shaft that has a torque of 1.5 KN-m
and a stress of 25 Mpa?
A. 2.46 x 10-6 m4
C. 3.46 x 10-6 m4
B. 2.02 x 10-6 m4
D. 1.24 x 10-6 m4
392. A force tangent to a foot diameter pulley is 5 KN and is mounted on a 2 inches
shaft. Determine the torsional deflection if G= 83 x 106 Kpa.
A. 0.805°/m
C. 0.768°/m
B. 0.654°/m
D. 0.938°/m
393. What is the minimum diameter of a steel shaft which will be used to operate a 14
KN-m torque and will not twist more than 3° in a length of 6 m? (G= 83 x 10 6 Kpa)
A. 100.64 mm
C. 118.45 mm
B. 96.80 mm
D. 120.72 mm
394. A solid shaft 5 m long is stressed to 60 Mpa when twisted through a 4°. Find the
shaft diameter if G= 83 Gpa.
A. 95.46 mm
C. 101.32 mm
B. 90.42 mm
D. 103.54 mm
395. What ids the diameter of a line shaft that transmit 150 KW at 15 rps?
A. 2.28 in
C. 1.62 in
B. 3.54 in
D. 2.04 in
396. A main shatf has 50 mm diameter is running at 300 rpm. What power that could
be delivered by the shaft?
A. 30.40 Hp
C. 32.50 Hp
B. 28.60 Hp
D. 16.42 Hp
397. A 1.5 in diametr short shaft is used to transmit 44.4 Hp. Determine the shaft
speed.
A. 500 rps
C. 400 rps
B. 8.33 rps
D. 450 rpm
398. A 3 in solid shaft is desired to replace a hollow shaft having a 4 in outside
diameter. Consider the strength to be the same, determine the inside diameter of hollw
shaft.
A. 2.5 in
C. 3.48 in
B. 3.0 in
D. 4.0 in
399. A motor is used to drive a centrifugal pump tha t discharges 3000 li/mi at a head
of 10 m. Te pump efficiency is 68 % and running at 550 rpm. Find the torsional stress of
shaft if shaft diameter is 35 mm.
A. 13.85 Mpa
C. 12.85 Mpa
B. 11.85 Mpa
D. 14.87 Mpa
400. A circular saw blade has a circular speed of 25 m/sec and 500 mm diameter is
driven by means of belt that has an efficiency of 95%. Find the required diameter of the
driven shaft. If power transmitted is 50 hp.
A. 1 in
C. 3 in
B. 2 in
D. 4 in
401. A 800 mm diameter circular saw blade is driven by a 1800 rpm motor with belt
speed ratio of 1.8. Find the peripheral speed of the blade.
A. 137.43 ft/sec
C. 132.43 lit/sec
B. 140.65 ft/sec
D. 135.21 ft/sec
402. A machine shatf is suppoerted on bearings 1 m apart to transmit 190 Kw at 300
rpm while subjected to bending load of 500kg at the center. If the maximum shaering
stress is 40Mpa, determine the shaft diameter.
A. 100 mm
C. 94 mm
B. 90 mm
D. 98 mm
403. A 100 mm diameter shatf is subjected to torque of 6 KN-m and a bending
moment of 2.5 KN-m. Find the maximum bending stress developed.
A. 45.84 Mpa
C. 50.28 Mpa
B. 60.25 Mpa
D. 55.46 Mpa
404. . A round steel shaft transmits ½ hp at 1800 rpm. The shear modulus of elasticity
is 12 000000 psi. The torsdional deflection is not to exceed 1 deg in a length equal to 20
times the diameter. Find the shaft diameter.
A. 1.04 in
C. 0.864 in
B. 0.257 in
D. 2.045 in
405. A line shaft is to transmit 200 Hp at 900 rpm. Find the diameter of the shaft.
A. 2 3/16 in
C. 3 15/16 in
B. 2 7/16 in
D. 1 3/16 in
406. A centrifugal pump is directly coupled to a motor. The pump rating is 3600 liters
per minute against a total head of 8 m of water. Pump efficiency is 65 % at a speed of
550 rpm. Calculate the torsional stress induced on the 40 mmm diameter motor shaft.
A. 11 193.45 kpa
C.10 010.85 kpa
B. 13 467.34 kpa
D. 16 345. 67 kpa
407. A round steel shaft transmits 0.375 kw at 1800 rpm. The shear modulus of
elasticity is 80 Gpa. The torsional deflection is not to exceed 1 degree in a length equal
to 20 diameters. Fimd the shaft diameter.
A. 6.621 mm
C. 12.344 mm
B. 8.324 mm
D. 16.345 mm
408. A round steel shaft rotates at 200 rpm and is subjected to a torque of 225 N-m
and a bending moment of 340 N-m. Theallowable shearing stress is 40MN/m 2. Find the
diameter.
A. 23.45 mm
C. 28.56 mm
B. 34.45 mm
D. 41.49 mm
409. A 1 in diameter shaft is to be repalaced with a hollow shaft of the same material,
weighing half as much, but equally strong in torsion. The outside diameter of the hollow
shaft is to be 1 ½ in. Find the inside diameter.
A. 1.322in
C. 1.635 in
B. 2.123 in
D. 3.123 in
410. A ¼ in diameter shaft is designed with a working stress of 7000 psi in shear. If it
rotates at 1725 rpm and shear modulus of elasticity is 12 000 000 psi, what is the
torsional in deflection in degrees per foot of length.
A. 3.28º
C. 3.21º
B. 2.56º
D. 4.23º
411. A hollow shaft has an outside dsiameter of 4 in and an inside diameter of 3 in.
Find the diameter of a solid shaft with equal strength in torsion.
A. 2.12 in
C. 3.23 in
B. 4.23 in
D. 3.52 in
412. A ¼ steel shaft transmits 30 in-lb of torque. The effective length of the shaft is 12
in, the modulus of elasticity in shearis 12 000 000 psi. Find the angular deflection in
degrees.
A. 2.34 º
C. 4.48 º
B. 1.23 º
D. 6.34 º
413. A 1 in in monel shaft is used in a torsional application. Based on operating speed
of 100 rpm and a safety factor of 12. how much horse power can it transmit? Assume
the shearing stress is ¾ of the ultimate tensile stress which is 100 000 psi.
A. 6.57 hp
C. 2.34 hp
C. 3.45 hp
D. 5.23 hp
414. What horse power can a 1 in diameter short shaft trnsmit at 380 rpm?
A. 3 hp
C. 18 hp
B. 10 hp
D. 7.1 hp
415. Find the torsional stress in Mpa in a 40 mm diameter shaft that transmits 20.53
kw at 600 rpm.
A. 26 MPa
C. 46 MPa
B. 36 MPa
D. 56 MPa
416. Compute the nominal shear stress at the surface in Mpa for a 50 mm diameter
shaft that is subjected to a torque of 0.48 KN-m.
A. 16.25
C. 21.65
B. 19.56
D. 25.12
417. A steel shaft 1.4375 inches in diameter transmits 40 hp at 1400 rpm. Assuming a
modulus of rigidity of 12 x 10 6 psi, find the torsional deflection of the shaft in degees per
foot length.
A. 0.246
C. 0.624
B. 0.426
D. 1.246
418. How much torque, in inch-lb can be safely transmitted by a 1 7/16 in diameter
shaft if safe stress is 7000 psi?
A. 4100
C. 2100
B. 3100
D. 1100
419. Calculate the diameter of a steel shaft to transmit 2200 hp at 2000 rpm with an
extreme fiber stress of 15 000 psi.
A. use 2 in shaft
C. use 2 ¾ in shaft
B. use 2 ½ in shaft
D. use 3 in shaft
420. A solid circular shaft is used to transmit 200 hp at 1000 rpm. What shaft diameter
is required if an allowable maximum shearing stress is 20 000 psi?
A. 1.475 in
C. 1.750 in
B. 1.250 in
D. 2.000 in
421. Calculate the torque in the shaft of a blower from the following data: shaft
diameter 2 in, speed 200 rpm, total head of air equivalent to 2 in WG, volume
discharged 30 000 cfm, and blower efficiency 60%.
A. 315 ft-lb
C. 515 ft-lb
B. 425 ft-lb
D. 615 ft-lb
422. In problem 67 calculate the torsional stress in the shaft.
A. 1950 psi
C. 2950 psi
B. 2125 psi
D. 3170 psi
423. A steel shaft transmits 40 hp at 1400 rpm. Considering the allowable shearing
stress based on pure torsion to be 5000 psi, find the shaft diameter of nearest
commeercial size.
A. 1 in
B. 1 7/16 in
B. 1 ¾ in
D. 2 in
424. In problem 69 find the torsional deflection of the shaft in degrees per foot.
A. 0.004 deg
C. 0.462 deg
B. 0.246 deg
D. 0.102 deg
Situitional Problem:
A solid transmission shaft is 3.5 in in diameter. It is desired to replace it with a
hollow shaft of the same materilal and same torsional strength but its weigrth should
only be half as much as the solid shaft. Find:
425. The outside diameter of the shaft.
A. 4.23 in
C. 7.38 in
B. 5.34 in
D. 9.30 in
426. The inside diameter of the shaft.
A. 1.92 in
C. 3.42 in
B. 2.56 in
D. 4.03 in
427. The volume of the hollow shaft per foot length.
A. 53.23 in3
C. 60.30 in3
B. 57.74 in3
D. 63.48 in3
428. The shearing stress of the hollow shaft if it is used to transmit 150 KW at 600
rpm, MPa:
A. 12.84
C. 16.23
B. 14.56
D. 17.63
Situitional Problem:
Two shafts having identical diameters of 38.1 mm and rotating at 400 rpm are
connectedby a flange coupling having 4 bolts with a 100 mm bolt circle. Thje design
shearing stress of the bolt is 12 Mpa and design compressive stress of the flange is 15
Mpa.
429. What is the power transmitted by the short shaft?
A. 20.50 KW
C. 26.50 KW
B. 24.50 KW
D. 28.50 KW
430. What is the torque transmitted by the shaft?
A. 0.032 KN-m
C. 0.432 KN-m
B. 0.232 KN-m
D. 0.632 Kn-m
431. What diameter of the bolt should be used?
A. ¼ in
C. ¾ in
B. ½ in
D. 1 in
432. How thick should the flange be in mm?
A. 7.07
C. 9.07
B. 5.07
D. 11.07
Situational Problem:
A steel shaft transmits 40 ho at 1400 rpm. Considering allowable shearing stress
on pure torsion to be 5000 psi, find:
433. The shaft diameter of nearest commercial size.
A. 1 ¼ in
C. 2 7/16 in
B. 1 7/16 in
D. 1 ¾ in
434. The torsional deflection of the shaft in degrees per foot.
A. 0.264
C. 0.266
B. 0.256
D. 0.276
435. A 76.2 mm in diameter shafting of SAE 1040 grade, cold rolled , having a yield
point of 50 ksi and a width a 3/4 x 5 inches key. Compute the minimum yield point in
the key in order to transmit the torque of the shaft. The factor of safety to use is 2 and
Sys = 0.50 Sy.
A. 39.120 ksi
C. 279.20 ksi
B. 42.130 ksi
D. 47.120 ksi
436. A keyed sprocket deliver a torque of 778.8 N-m thru the shaft of 54 mm OD. The
key thickness is 1.5875 cm and the width is 1.11 cm. compute the length of the same
key. The permissible stress value of 60 Mpa for shear and 90 Mpa for tension.
A. 39.12 cm
C. 52.22 cm
B. 4.82 cm
D. 4.32 cm
437. A 76.2 mm in diameter shafting of SAE 1040 grade, cold rolled , having a yield
point of 50 ksi and a width a 3/4 x 3/4 x 5 in key. Compute the minimum yield point in
the key in order to transmit the torque of the shaft. The factor of safety to use is 2 and
Sys = 0.50 Sy.
A. 47.52 ksi
C. 47.12 ksi
B. 47.25 ksi
D. 47.21 ksi
438. A keyed gears delivers a torque of 912.4 N-m thru its shaft of 63.5 mm outside
daimeter. If the key had thickness of 15.875 mm and width of 11.1125, find the length
of the key. Assume the permissible stress values of 61.2 Mpa for shear and tension at
99.8 Mpa.
A. 47.42 mm
C. 42.22 mm
B. 39.72 mm
D. 46.92 mm
439. A metric M4 x 15 square key is used with a 16 mm shaft. If the allowable
shearing stress is 50 Mpa. How much torque can the assembly handle? The rotational
speed of the shaft is 600 rpm.
A. 20 N-m
C. 24 N-m
B. 12 N-m
D. 34 N-m
435. A flat key is to be designed for 75 mm diameter shaft which will transmit 150 kw
at 400 rpm. If allowable shearing stress is 200 Mpa and key width is 15 mm, determine
the length of key.
A. 30.65 mm
C. 33.75 mm
B. 31.83 mm
D. 32.85 mm
436. A rectangular key is used in a pulley to transmit 100 kw at 1000 rpm on 50 mm
shaft diameter. Determine the force required to remove the shaft from the hub if friction
is 0.4.
A. 33.24 KN
C. 28.35 KN
B. 36.85 KN
D. 30.55 KN
437. A 7/16 in height x 3 in length flat key is keyed to a 2 inches diameter shaft.
Determine the torque in the key if bearing stress allowable is 25 ksi.
A. 16,406.25 in-lb
C. 17.42 in-lb
B. 15,248.56 in-lb
D. 246.75 in-lb
438. A rectangular key is used in a pulley connected to a line shaft at 15 kw and 600
rpm. If shearing of key is 230 Mpa, determine the force acting on key length if key
width one-fourth of shaft diameter and key length is 1 inch.
A. 43 KN
C. 45 KN
B. 48 KN
D. 46 KN
439. A square key is to be used in a 40 mm diameter shaft and that will developed a
2 KN-m torque. If bearing stress of the key is 400 Mpa, determine the cross sectional
dimension of square key to be used if key length is 30 mm.
A. 324.80 mm2
C. 446.80 mm2
2
B. 246.80 mm
D. 277.77 mm2
440. A 100 KN force is acting on a key that has a length of 4 times its height. If
bearing stress of key is 400 Mpa, determine the height of key.
A. 10.54 mm
C. 12.65 mm
B. 11.18 mm
D. 15.25 mm
441. A one meter pulley is fastened to a 100 mm shaft by means of 25 mm square
key and 150 mm long. What force tangent to pulley rim will shear the key if shear
stress is 200 Mpa?
A. 65 KN
C. 75 KN
B. 70 KN
D. 80 KN
442. A 1.2 m pulley is fastened to a 120 mm shaft by means of a square key with 140
mm long. What force tangent to pulley rim will crush the key bearing stress is 410
Mpa. Assume key and shaft are the same material.
A. 160.42 KN
C. 180.42 KN
B. 165.25 KN
D. 172.20 KN
443. A 76.2 mm diameter shafting of SAE 1040 grade, cold rolled, having a yield point
of 50 ksi and with a ¾ x ¾ x 5 inches key. Compute the minimum yield point in the key
in order to transmit the torque of the shaft. The factor of safety to use is 2 and S ys = 0.5
Sy.
A. 39.120 ksi
C. 279.20 ksi
B. 42.130 ksi
D. 47.120 ksi
444. A solid steel machine shaft with a safety shearing stress 7000 psi transmits a
torque of 10 500 lb-in. A square is used whose width is equal to one fourth the shaft
diameter and whose length is equal to 1 ½ times the shaft diameter, Find the key
Dimensions.
A. ½ in and 3 in
C. ¾ in and 2.5 in
B. ½ in and 2.5 in
D. ¾ in and 3 in
445. In problem 15, determine the crushing stress of the key.
A. 7000 psi
C. 14000 psi
C. 9000 psi
D. 17000 psi
446. In problem 15, obtain the factor of safety of the key in crushing, allowing an
ultimate shearing stress os 50 000 psi and an ultimate stress for compression of 60 000
psi.
A. 2.5
C. 7.4
B. 3.4
D. 4.3
447. How long will it take to mill a 3/4” by 2” long keyway in a 3 inch diameter shafting
using 24 tooth cutter turning at 1000 rpm at 0.005 inch feed per tooth?
A. 0.167 min
C. 0.198 min
B. 0.225 min
D. 2.167 min
448. Determine the length of square key for gear driven shaft transmits 40KW at 300
rpm. The shaft diameter is 60 mm with design stress of 70 MPa in shear, the thickness
and width of the key is 3/8 in.
A. 43 mm
C. 64 mm
B. 56 mm
D. 72 mm
449. How long will it take for a 51 mm length keyway to be milled ifthe milling machine
has a 24 teeth cutter turning at 130 rpm and feed rate of 0.127 per tooth?
A. 0.281 min
C. 0.128 min
B. 0.218 min
D. 0.812 min
Situitional Problem:
A key is to be desired for a 12.7 cm shaft which will transmit power of 150 KW at
360 rpm. If the allowable shear stress for the key is 920 kg/cm 2 and the allowable
compressive stress is 1200 kg/cm2, determine the following:
450. Cross sectional dimensions of the flat key to be used.
A. 1.11 cm
C. 3.33 cm
B. 2.22 cm
D. 4.44 cm
451. Force acting on the key.
A. 62.66 KN
B. 64.34 KN
C. 66.04 KN
D. 68.34 KN
452. Length of the key under the shearing stress.
A. 7.34 cm
C. 4.23 cm
B. 6.31 cm
D. 2.19 cm
453. Length of the key under compressive stress.
A. 2.03 cm
C. 4.79 cm
B. 3.49 cm
D. 5.34 cm
454..Safe length of the key to be used.
A. 2.03 cm
C. 6.34 cm
B. 4.79 cm
D. 8.03 cm
455. Axial force to remove the hub from the shaft if the coefficient of friction is 0.45.
A. 45.23 KN
C. 58.34 KN
B. 56.40 KN
D. 65.45 Kn
Situitional Problem:
A 1200 mm cast iron pulley is fastened to a 112.50 mm shaft by means of a
28.13 mm square key 175 mm long. The key and shaft are SAE 1030 steel annealed
with allowable shearing stress o key of 29 400 psi and compressive of 6765.3 kg/cm 2.
456. Force required to shear the key.
A. 997.59 KN
C. 756.03 KN
B. 873.45 KN
D. 652.32 KN
457. Force needed to compress the key.
A. 1431.93 KN
C. 1633.36 KN
B. 1596.24 KN
D. 1763.48 KN
458. Safe power of the shaft at 600 rpm.
A. 2083.54 KW
C. 4823.49 KW
B. 3525.77 KW
D. 5623.74 KW
459. What force acting at the pulley rim will shear this key?
A. 93.52 KN
C. 75.23 KN
B. 85.27 KN
D.64.23 KN
460. What force acting on the pulley rim will crush the key?
A. 143.37 KN
C. 165.39 KN
B. 153.13 KN
D. 173.29 KN
Situitional Problem:
A rectangular key was used in apulley connected to a line shaft with apower of
7.46 KW at a speed of 1200 rpm. If the shearing stress of the shaft and the key are
30Mpa and 240 Mpa respectively.
461.. What is the diameter of the shaft?
A. 18.60 mm
C. 26.60 mm
B. 21.60 mm
D. 29.60 mm
462.. What is the length of the rectangular key if the width is one fourth that of the shaft
diameter?
A. 3.24 mm
C. 5.24 cm
B. 4.24 cm
D. 6.24 mm
Situitional Problem:
A pulley is keyed to a 2 ½ in diameter shaft by a 5/8 x 7/16 in x 3 in in flat key.
The shaft rotates at 50 rpm. The allowable shearing stress for the key is 22 ksi. The
allolable compressive stress for the key, hub and shaft are 66 ksi, 59 ksi and 72 ksi,
respectively. Determine:
463. The torque that can be carried due to shearing stress of key.
A. 51 562.50 in-lbs
C. 71 562. 50 in-lbs
B. 61 562.50 lbs-in
D. 81 562.50 lbs-in
464. The torque that can be carried due to compressive stress of the key.
A. 50 110.60 in-lbs
C. 54 1160.60 in-lbs
B. 52 1160.60 in-lbs
D. 56 110.60 in-bs
465. The torque that can be carried by the shaft.
A. 57 495.10 in-lbs
C. 77 495.10 in-lbs
B. 67 495.10 in-lbs
D. 87 495.10 in-lbs
466. The torque that can be carried by the hub.
A. 42 398.44 in-lbs
C. 46 398.44 in-lbs
B. 44 398.44 in-lbs
D. 48 398.44 in-lbs
467. The maximum torque the pulley can safely deliver.
A. 42 398.44 in-lbs
C. 46 398.44 in-lbs
B. 44 398.44 in-lbs
D. 48 398.44 in-lbs
468. A cone clutch has an angle of 10º and a coefficient of friction of 0.42. Find the
axial force required if the capacity of the clutch is 7 KW at 500 rpm. The mean diameter
of the active conical sections is 300 mm.
A. 234.45 N
B. 186.45 N
C. 368.49 N
D. 492.45 N
469. How much torque can a cone clutch transmit if the angle of the conical elements
is 10 degrees the mean diameter of the conical clutch sections 200 mm and an axial
force of 550 N is applied? Assume the coefficient of friction is 0.45
A. 123.23 N-m
C. 142.53 N-m
B. 34.56 N=m
D. 234.56 N-m
470. If the inertia is 90 lb-ft 2 and the speed of the driven is to be increased from 0 to
2500 rpm in 5 secs, shaft material is of SAE4140 wuth yield strength of 110 000 lb/in 2,
find the clutch starting torque in ft=lb.
A. 159
C. 146
B. 128
D. 191
471. Find the frictional radius for a disc clutch. The disc has an outside diameter of 10
in and an insde diameter of 6 in.
A. 4.54 in
C. 5.34 in
B. 4.08 in
D. 8.44 in
472. In a clutch the outside diameter is 8 in and the inside diameter is 4in. An axial
force of 400 lb is used to hold the two parts together. If the coefficient of friction of the
mating materials is 0.4, how much torque can the clutch handle?
A. 123.45 in-lb
C. 213.34 in-lb
B. 497.80 in-lb
D. 563.23 in-lb
473. A disc clutch has a 6 pairs of contracting friction surfaces. The frictional radius is
2 in and the coefficient of friction is 0.3. An axial force of 100 .lbs acts on the clutch. The
shaft speed is 400 rpm. How much horse power can the clutch transmit?
A. 2.28 hp
C. 3.23 hp
B. 123 hp
D. 4.23 hp
474. A cone clutch has a cone elements at an angle of 10º. The clutch transmits 20 hp
at a speed of100 rpm. The mean diameter of the conical friction sections is 16 in and
the coefficient of friction is 0.3. Find the axial force needed to engage the clutch.
A. 246.37 lbs
C. 234.56 lbs
A. 212.56 lbs
D. 346.78 lbs
475. in a band clutch, the ratio of a pull on the tigth side of the band to that of the slack
side is 4”1. The band contacts the drum for 250 degrees. What is the coefficientof
friction?
A. 0.123
C. 0.234
B. 0.318
D. 0.462
476. A band clutch has an angle of contact of 270º on a 15 in diameter drum. The
rotational speed of the drum is 250 rpm and the clutch transmits 8 hp. The band is 1/16
in thick and has a design stress of 5000 psi. How wide should the band be?
A. 2.123 in
C. 1.014 in
B. 3.234 in
D. 4.354 in
477. The angle of contact of a band clutch is 250 degrees. The cross section of the
band is 1/16 in x 1.5 in. The design stress for the band material is 8000 psi. If the drum
is 16 inches in diameter and rotates at 350 rpm, what is the horse power capacity of the
clutch? The coefficient of friction is 0.4.
A. 20. 34 hp
C. 22.34 hp
B. 15.23 hp
D. 27.50 hp
478. Find the power capacity under uniform wear of a cone clutch with mean diameter
of 250 mm if the conical elements are inclined 8 degrees and the axial fofce is 450 N.
The rotational speed of the driver is 200 rpm and the coefficient of friction is 0.20.
A. 1.683 KW
C. 1.287 KW
B. 2.340 KW
D. 3.234 KW
479. Determine the power capacity of a cone clutch under uniform pressure and
assuming the following conditions: major diameter= 250 mm; minor diameter= 200 mm;
length of conical elements in contact= 125 mm; rotational speed= 870 rpm; coefficient of
friction= 0.3; and allowable pressure= 70 000 N/m 2.
A. 12.34 KW
C. 14.56 KW
B. 19.09 KW
D. 23.45 KW
480. Find the power capacity under uniform wear of a cne clutch with the following
specification spped = 870 rpm; length of conical elements in contact = 125 mm; major
diameter= 250 mm; minor diameter= 200 mm; coefficient of friction = 0.30; and axial
operating force =500 N.
A. 7.69 KW
C. 9.34 KW
B. 5.23 KW
D. 3.23 KW
481. Assuming uniform wear, find the power capacity of a single disc clutch with an
outside diameter and inside diameter of 200 mm and 100 mm respectively, a rotational
speed of 1160 rpm, a a coefficient of friction of 0.35 and an axial operating force of 800
N.
A. 4.23 KW
C. 6.32 KW
B. 2.55 KW
D. 8.23 KW
Situitional Problem:
The large diameter and face of the disk of a multiple disk clutch are 255 mm
and 25 mm respectively. The helical compression spring used to engage the clutch has
9 ½ effective coils of 10 mm steel wire. The outer coil diameter is 80 mm. The free
length of the spring is 185 mm. When in place with clutch engaged, its length is 130
mm. Assuming that there are 10 pairs of friction surface in contact, that the motor runs
at 1200 rpm, with coefficient of friction on contact surface f= 0.15; (g=80 Gpa)
Determine:
482. The axial force available for the clutch.
A. 1.69 KN
C. 3.69 KN
B. 2.69 KN
D. 4.69 KN
483. The mean frictional radius.
A. 125.45 mm
B. 145.45 mm
C. 115.45 mm
D. 155.45 mm
484. The torque transmitted.
A. 0.192 KN-m
B. 0.292 KN-m
C. 0.392 KN-m
D. 0.492 KN-m
485. The power the clutch can transmit.
A. 30.69 KW
C. 34.69 KW
B. 32.69 KW
D. 36.69 KW
Situitional Problem:
A pajero jeep wagons engine develops 40 KW at 1200 rpm, with a single plate
clutch with two pairs of friction surfacws transmitting the power. Consider the coefficient
of friction to be 0.30 and mean diameter of disc to be 200 mm. Determine:
486. Axial force rquired to engage the clutch and transmit the power.
A. 5.305 KN
C. 5.505 KN
B. 5.405 KN
D. 5.605 KN
487. Inside and outside diameter of the discs and the face width if the maximum
pressure is limited to 200 KPa.
A. 61 mm
C. 65 mm
B. 63 mm
D. 67 mm
Situitional Problem:
A disc clucth having an outside diameter of 32 cm and an inside diameter of 12.7
cm is connected to an engine that turns at 750 rpm. The coefficient of friction is 0.60
while the pressure between the friction surfaces is 2 kg/cm 2.
488. Force on the clutch pedal necessary to dis engaged the clutch disc from the
engine using the uniform pressure.
A. 1 155.14 kg
C. 1 355.14 kg
C. 1 255.14 kg
D. 1 455.14 kg
489. Mean friction radius.
A. 11.87 cm
B. 12.87 cm
C. 13.87 cm
D. 14.87 cm
490. Clutch torque.
A. 0.6467 KN-m
B. 0.7467 KN-m
C. 0.8467 KN-m
D. 0.9467 KN-m
491. Power transmitted by the engine.
A. 71.35 KW
C. 73.35 KW
B. 72.35 KW
D. 74.35 KW
Situitional Problem:
The engine of a motor vehicle with a wheel diameter of 712 mm develops 50 kw
at 2000 rpm. The combined efficiency of the differential and transmission is 75% with an
over all speed reduction of 25 is to 1. Determine:
492 . Torque to be delivered by the clutch in N-m.
A. 224
C. 245
C. 239
D. 265
493. Axial force on the clutch in KN. Outside and inside diameter of the clutch are 300
mm and 240 mm respectively. There are two pairs of mating surface with a coefficient of
friction of 0.30. ( Use uniform wear method ).
A. 2.34 KN
C. 3.25 KN
B. 2.95 KN
D. 4.39 KN
494. Torque on wheels.
A. 1.234 KN-m
B. 2.56 KN-m
C. 3.56 KN-m
D. 4.476 KN-m
495. Draw bar pull developed in KN.
A. 12.57
C. 17.30
B. 15.23
D. 19.39
496. Speed of travel of the vehicle in km/hr.
A. 5.34
C. 10.74
B. 7.49
D. 12.03
497. Find the tooth thickness on the tooth circle of a 20 o full depth involute tooth having
a circular pitch of 26.6 mm and whole depth of 16mm.
A. 0. 52360 in
B. 0.41361 in
C. 0.71681 in
D. 0.89713 in
498. Compute the maximum deflection of a 22 coils helical spring having a load of 120
kgs. The spring is squared and ground ends with modulus of elasticity in shear of 80
GPa, outside diameter of 8 cm and wire diameter of 8mm.
A. 225 mm
B. 245 mm
C. 165 mm
D. 214 mm
499. Two shafts are connected by spur gears. The pitch radii of gears A and B are
100 mm and 700 mm, respectively. If shafts A makes 1200 rpm and subjected to a
resisting moment of 130 N-m. What is the torque in shaft B?
A. 910 N-m
B. 710 N-m
C. 810 N-m
D. 890 N-m
500. A shaft has a diameter of 200 mm and the load on the bearing is 20 KN. The
coefficient of friction between the shaft and its bearings is 0.05 and the shaft revolves at
600 rev/min. Calculate the power loss in friction.
A. 6.284 kw
B. 4.356 kw
C. 8.624 kw
D. 6.844 kw
501. How long will it take to mill a ¾” by 2” long keyway in a 3 inch diameter shafting
using 24 tooth cutting turning at 100 rpm at 0.005 inch feed per tooth?
A. 0.167 min
B. 0.225 min
C. 0.198 min
D. 2.167 min
502. Big chain sprocket wheels are designed with spokes/arm are generally elliptical in
cross sectional with major axis ___________ times the minor axis.
A. 2
B. 2 1/2
C. 1 1/2
D. 3
503. Compute how many ¼ inch diameter set screw required to transmit 3 HP at a
shaft speed of 900 rpm. The shaft diameter is 1 ¼ in.
A. 2
B. 3
C. 4
D. 2.5
504. A pair of gear and pinion having a ratio of 4 with the gear having 100 teeth and
the pinion with 25 teeth. Find the circular pitch, if the center distance is 15 and the pitch
diameter is at 6.
A. 0.94
B. 0.754
C. 0.610
D. 0.552
505. A gear of 80 teeth and a pinion of 20 teeth have a gear and pinion ratio of 4.
Compute the circular pitch, in inches, if the center distance is 20.
A. 1.05
B. 1.25
C. 1.35
D. 2.24
506 . A gear of 80 teeth and a pinion of 20 teeth have a gear and pinion ratio of 4. Find
the tooth thickness on the pitch circle of a 14 1/2 degree full depth tooth if the center
distance is 20.
A. 0.268
B. 0.628
C. 0.862
D. 0.925
507. A gear of 80 teeth and a pinion of 20 teeth have a gear and pinion ratio of 4. Find
the center distance, in inches, if the circular pitch is 0.885.
A.14.1
B. 15.1
C. 16.1
D. 17.1
508. A gear of 80 teeth and a pinion of 20 teeth have a gear and a pinion of ratio of 4.
Find the diametral pitch of these gears if the center distance is 20.
A. 2.0
B. 2.5
C. 3.0
D. 3.5
509. What is the working strength of a 2 in bolt which is screwed up tightly in a packed
joint when the allowable working stress is 11,000 psi?
A. 12400 lb
B. 15500 lb
C. 18700 lb
D. 22500 lb
510. A 72 tooth pinion with a turning speed of 450 rpm drives 180 tooth gears of 14 ½
degree involute angles. What would be the speed on the driver gear?
A. 120 rpm
B. 140 rpm
C. 160 rpm
D. 180 rpm
511. Compute the tooth thickness of a gear tooth having a diametral pitch of 12. The
gear tooth pressure angle is 14 ½ degree full depth tooth.
A. 0.0309 in
B. 0.1309 in
C. 0.0507 in
D. 0.1906 in
512. A bolt has a tensile load of 300 lbs. The bolt is made of SAE 1040 material with
Sy = 55 ksi, what is the stress area of the bolt?
A. 0.1023 in2
B. 0.1230 in2
C. 0.327 in2
D. 0.5190 in2
513. Find the tooth thickness of a 20 degree full depth involute tooth having a
diametral pitch of 4.
A. 9.97
B. 3.93
C. 7.99
D. 3.97
514. If the pitch of a screw is 2/7, find thread per inch.
A. 2.5
B. 4.5
C. 3.5
D. 5.5
515. It is ideal for maximum quietness in sprocket drive operation to choose
_________ or more teeth.
A. 25
B. 26
C. 27
D. 28
516. All four compression coil spring support one load of 700kg. All four springs are
arranged in parallel and rated same at 0.609 kg/min. Compute the deflection in mm.
A. 64
B. 147
C. 178
D. 287
517. A gear set having a gear ratio of 3 is to be used at center distance of 16 inches. If
the gear has 80 teeth, what must be the circular pitch?
A. 23.6 mm
B. 23.9 mm
C. 29.3 mm
D. 32.9 mm
518. Find the tooth thickness on the tooth circle of a 20 o full depth involute tooth having
a diametral pitch of 3, circular pitch of 1.0472 and whole depth of tooth at 0.60.
A. 10.7 mm
B. 13.2 mm
C. 10.1 mm
D. 7.9 mm
519.. A pair of gear with gear ratio of 3 and 60 gear teeth of 14 ½ degree full depth
tooth. The diametral pitch is 10. Compute the pitch circle.
A. 0.570 in
B. 0.352 in
C. 0.157 in
D. 0.142 in
520. A triple thread worm has a pitch diameter of 3 inches. The wheel has 25 teeth and
a pitch diameter of 5 inches. Material for both the worm and the wheel is of phosphor
bronze. Compute the helix angle (tan x).
A. 0.20
B. 0.30
C. 0.40
D. 14
521. A 36 tooth tooth pinion with a turning speed of 300 rpm drives 120 tooth gear of 14
½ degrees involute full depth pressure angle. What would be the speed of the driven
gear?
A. 1000 rpm
B. 100 rpm
C. 90 rpm
D. 140 rpm
522. Two parallel shaft connected by pure rolling turn in the same direction and having
a speed ratio of 2.75. What is the distance of the two shaft if the smaller cylinder is 22
cm diameter.
A. 16.60 cm
B. 30.25 cm
C. 25.25 cm
D. 19.25 cm
523. A helical gear having a 14 ½ degree normal pressure angle and transverse
diametral pitch of 2.3622 per cm, the helix angle is at 45 o and has 8 teeth. Compute the
transverse pressure angle in degrees.
A. 22.2o
B. 19.3o
C. 18.9o
D. 20.1o
524. Compute the circular pitch of a pair of gears having a ratio of 4 and a center
distance of 10.23. Each gear has 72 teeth and pinion has 18 teeth.
A. 0.8095
B. 0.7825
C. 0.8035
D. 0.8085
525. Compute the tooth thickness of 14 1/2 o spur gear with diametral pitch = 5.
A. 0.3979
B. 3.1831
C. 0.3141
D. 0.31416
526. Compute the pitch angle of a bevel gear given the pinion’s number of teeth of 14
and 42 teeth on the gear.
A. 18.4o
B. 28.4o
C. 33.4o
D. 38.4o
527. The tooth thickness of a gear is 0.5 inch and its circular pitch is 1.0 inch. Calculate
the dedendum of the gear.
A. 0.3183
B. 1.250
C. 0.3979
D. 0.1114
528. An internal gear is set up with a 5 inches diameter pinion and center distance of 18
inches. Find the diameter of the internal gear.
A. 36 in
B. 21.5 in
C. 26 in
D. 41 in
529. The minimum whole depth of spur gear of 14 ½ degree involute types with
diametral pitch of 24 and circular pitch of 0.1309.
A. 0.09000
B. 0.89000
C. 0.089875
D. 0.089758
530. The minimum clearance allowed for meshing spur gears with a circular pitch of
0.1571 and diametral pitch of 20. The spur gear has 25 teeth.
A. 0.007855
B. 0.008578
C. 0.008578
D. 0.007585
531. A spur gear rotates at 1800 rpm and transmits to a mating gear 30 HP. The pitch
diameter is 4 in and the pressure angle is 14 ½ degree. Determine the tangential load in
lbs.
A. 495 lbs
B. 525 lbs
C. 535 lbs
D. 475 lbs
532. Compute the speed of the gear mounted on a 52.5 mm diameter shaft receiving
power from a driving motor with 250 HP.
A. 2182 rpm
B. 2071 rpm
C. 2265 rpm
D. 2341 rpm
533. A 76.2mm diameter shafting of SAE 1040 grade, cold rolled, having a yield point of
50 ksi and with a ¾ x ¾ x 5 inches key. Compute the minimum yield point in the key in
order to transmit the torque of the shaft. The factor of safety to use is 2 and S YS = 0.5
SY .
A. 39.12 ksi
B. 42.13 ksi
C. 279.20 ksi
D. 47.12 ksi
534. A rectangular key was used in a pulley connectes to a lineshaft with a power of
125 kw at a speed of 900 rpm. If the shearing stress of the shaft is 40 N/mm 2 and the
key to be 22 N/mm2. Determine the length of the rectangular key if the width is one
fourth that of the shaft diameter.
A. 171.8 mm
B. 175.8 mm
C. 187.5 mm
D. 157.8 mm
535. A keyed sprocket delivers a torque of 778.8 N-m thru the shaft of 54mm OD. The
key thickness is 1.5875 cm and the width is 1.11 cm. Compute the length of the same
key. The permissible stress value of 60 MPa for shear and 90 MPa for tension.
A. 39.12 cm
B. 4.82 cm
C. 52.22 cm
D. 4.32 cm
536. A flange bolt coupling has (10) steel 25.4 mm diameter bolts evenly tighten around
a 415 mm bolt circle. Determine the torque capacity of the connection if the allowable
shearing stress in the bolt is 50 MN/m2.
A. 59.95 KN-m
B. 52.60 KN-m
C. 46.15 KN-m
D. 43.80 KN-m
537. A flange coupling has an outside diameter of 200 mm and connects two 40 mm
shafts. There are four 16 mm bolts on a 140 mm bolt circle. The radial flange thickness
is 20 mm. If the torsional stress in the shaft is not to exceed 26 MPa, determine the
shearing stress in the bolts if uniformly disturbed.
A. 8.5 N/mm2
B. 5.8 N/mm2
C. 6.5 N/mm2
D. 7.5 N/mm2
538. An eyebolt is lifting a block weighing 350 lbs. The eyebolt is of SAE C1040 material
With SU = 67 ksi and Sy = 55 ksi, what is the stress area of the bolt if it is under the
unified coarse series thread?
A. 0.1341
B. 0.1134
C. 0.0991
D. 0.1043
539. What is the working strength of a 2 inches bolt which is screwed up tightly in a
packed joint when the allowable working stress is 12,000 psi?
A. 20400 lbs
B. 22400 lbs
C. 23400 lbs
D. 18000 lbs
540. If the pitch of a screw is 2/9, find the thread per inch.
A. 0.34
B. 4.5
C. 5.4
D. 17
541. What is the frictional HP acting on a collar loaded with 100 kg weight? The collar
has an outside diameter of 100 mm and an internal diameter of 40 mm. The collar
rotates at 1000 rpm and the coefficient oof friction between the collar and the pivot
surface is 0.15.
A. 0.8 HP
B. 0.5 HP
C. 0.3 HP
D. 1.2 HP
542. . Compute the working stress of 1 in bolt which is screwed up tightly in packed joint
when the allowable working stress is 13,000 psi.
A. 3600 lbs
B. 3950 lbs
C. 3900 lbs
D. 3800 lbs
543. . A 12 cm x 16 cm air compressor is operating with a maximum pressure of 10
kg/cm2. There are 5 bolts with a yield stress of 64,000 psi which held the cylinder head
to the compressor. Determine the shearing stress of the bolt.
A. 39 MPa
B. 66.2 MPa
C. 28 MPa
D. 26.6 MPa
544. . A three extension coil springs are hooked in series thst support a single weight of
100 kgs. The first spring is rated at 0.400 kg/mm and the other 2 lower is rated at 64
kg/in. Compute the total deflection.
A. 563 mm
B. 268 mm
C. 156 mm
D. 250 mm
545. . Compute the maximum deflection of a 20 coils helical spring having a load of 75
kgs. The spring is a squared and ground ends with modulus of elasticity in shear of
79.84 GPa, outside diameter of 101.6 mm, wire diameter of 9.525 mm.
A. 140.7 mm
B. 112.7 mm
C. 15.7 mm
D. 126.7 mm
546. . Compute the deflection of a 18 coils of helical spring having a load of 100 kg. The
modulus of elasticity in shear of spring is 96.62 GPa, OD of 9.256 cm and with diameter
of 9.525 mm. The spring is squared and ground ends.
A. 9 mm
B. 101 mm
C. 11 mm
D. 126.7 mm
547. . A helical spring having squared and ground ends has a total of 18 coils and its
material has modulus of elasticity in shear of 78.910 GPa. If the spring has an outside
diameter of 10.42 cm and a wire diameter of 0.625 cm, compute the maximum
deflection that can be produced in the spring due to the load of 50 kgs.
A. 302 mm
B. 342 mm
C. 490 mm
D. 322 mm
548.. A high alloy spring having squared and ground ends and has a total of 16bcoils
and modulus of elasticity in shear of 85 GPa. Compute the Whal factor. The spring
outside diameter is 9.66 cm and wire dismeter is 0.65 cm.
A. 1.058
B. 1.10
C. 1.185
D. 1.20
549 . A coiled spring with 5 cm of outside diameter is required to work under the load of
190 N. The wire diameter is 5 mm, the spring is having 6 active coils and the ends are
to be closed and ground. Determine the total number of coils. The modulus of rigidity is
80 GPa and the mean radius is to be 23 mm, with 7 mm pitch of the spring.
A. 6.5 coils
B. 7.5 coils
C. 8.5 coils
D. 9.5 coils
550. A lineshaft runs at 360 rpm. A 18 inches pulley on the same shaft is belt connected
to a 12 inches pulley on the counter shaft. From a 15 inches pulley on the countershaft,
motion is transmitted to the machine. Compute and checked the required diameter of
the pulley on the machine to give a spindle speed of 660 rpm.
A. 16 in
B. 12 ¼ in
C. 10 ½ in
D. 8 ½ in
551. A pulley 610 mm in diameter transmits 40 kw at 500 rpm. The arc of contact
between the belt and pulley is 144 degrees, the coefficient of friction between the belt
and pulley is 0.35 and the safe working stress of the belt is 2.1 MPa. Find the width of
the belt used if it is thickness is 6mm.
A. 250 mm
B. 300 mm
C. 340 mm
D. 430 mm
552.. A slurry pump is to be driven by a 50 Hp, 2400 rpm diesel engine and operating
under the moderate shock load with service factor of 1.20. The pump will operate at 800
rpm and using type B V –belt. The available small sheave diameter is 5.4 inches and
having a factor of 1.14. The arc of contact factor is 0.89 and the length of belt factor is
0.97. Find the no. of belt used.
A. 9
B. 10
C. 11
D. 12
553.. The main bearings of one cylinder steam engine are 152 mm diameter and 280
mm long and support a load of 4400 kg. The bearings are well ventilated and are heavy
in construction. The coefficient of friction in bearings is 0.017 and a crankshaft rotates at
450 rpm. Bearing diametral clearance is 0.152 mm. determine the unit loading and
friction loss per bearing.
A. 73.5 psi, 1.431 kw
B. 73.5 psi, 1.314 kw
C. 75.3 psi, 1.314 kw
D. 75.3 psi, 1.413 kw
554. A cast iron flywheel is rotated at a speed of 1200 rpm and having a mean rim
radius of 1 foot. If the weight of the rim is 30 lbs, what is the centrifugal force? Use
factor C =41.
A. 14,800 lbs
B. 7 mt
C. 14860 lbs
D. 14724 lbs
555. What pressure is required to punch a hole 2 inches diameter through a ¼ in steel
plate?
A. 10 tons
B. 20 tons
C. 30 tons
D. 40 tons
556. What is the working strength of a 4 inch bolt which is screwed up tightly in a
packed joint when the allowable working stress is 12,000 psi.
A. 82500 lbs
B. 95600 lbs
C. 93600 lbs
D. 95000 lbs
557. A journal bearing with a diameter of 2.25-in is subjected to a load of 1000lb while
rotating at 200 rpm. If the coefficient of friction is taken as 0.02 and L/D is 3.0, find
the total work of friction in ft-lb per min.
A. 15.19
C. 1958
B. 6.750
D. 2356
558. An 8-in nominal diameter journal bearing is design for 140 deg optimum when
bearing length is 9-in, speed is 1800 rpm, and total load is 20,000lb. Calculate the
frictional horsepower loss when this journal operates under the coefficient of friction
0.002.
A. 4.56 hp
C. 10.2 hp
B. 5.64 hp
D. 15.6 hp
559. The main bearing of a one cylinder steam engine are 152 mm diameter and 280
mm long support a load of 4400 kg. The bearings are well ventilated and are heavy
in construction. The coefficient of friction in bearing is 0.017 and crankshaft rotates
at 450 rpm. Bearing diametral clearance is 0.152 mm. Determine the unit loading
and friction loss per bearing.
A. 73.5 psi, 1.431 kw
C. 75.3 psi, 1.314 kw
B. 73.5 psi, 1.314 kw
D. 75.3, 1.413 kw
560. The load on helical spring is 1600-lb and the corresponding deflection is to be 4in. Rigidity modulus is 11 million psi and the maximum intensity of safe torsional
stress is 60,000 psi. Design the spring for the total number of turns if the wire is
circular in cross section with the diameter of 5/8-in and a center line radius of 1.5in.
The spring is squared and ground ends.
A. 19 coils
C. 21 coils
B. 20 coils
D. 22 coils
561. In problem no.1, determine the torsional shear stress of the spring.
A. 49,000 psi
C. 60,000 psi
B. 51,000 psi
D. 66,000 psi
562 A coiled spring with 1.75-in outside diameter is required to work under load of
140 lb. The diameter used is 0.192 in, spring is to have seven active coils, and the
ends are to be closed and ground. Determine the unit deflection when when under
the load. Assume modulus of rigidity equal to 12 million psi and mean radius to be
0.779 in.
A. 1in
C. 1.817 in
B. 1.225 in
D. 3.516 in
563. A helical spring having squared and ground ends has a total of 24 coils and
material modulus of elasticity in shear of 89 Gpa. The spring has an outside
diameter of 12 cm and a wire diameter of 0.65 cm. Compute the maximum deflection
that can be produced in the spring due to a load of 60 kg.
A. 870 mm
C. 999 mm
B. 954 mm
D. 1030 mm
564. Compute the maximum deflection of a 22 coils helical spring having a load of 120
kgs. The spring is squared and ground ends with the modulus of elasticity in shear of 80
Gpa, outside diameter of 8 cm and wire diameter of 8 mm.
B. 225 mm
C. 165 mm
C. 245 mm
D. 214 mm
565. Compute the deflection of a 18 in coils helical spring having load of 100kgs. The
modulus of elasticity in shear of spring is 96.62 Gpa. Od of 9.256 cm and with the
diameter of 9.525 mm. The spring is squared and ground ends.
D. 9 cm
E. 101 mm
C. 11 mm
D. 14 mm
566. A double-ply leather belts transmits hp from a motor with a pulley 8-in in diameter,
running at 1700 rpm, to a 24-in diameter pulley. The difference in tension may be
taken as 20 lb per inch of belt width. Belt thickness is 0.2in. Calculate the width of
the belt.
A. use 3-in belt
C. use 5-in belt
B. use 4-in belt
D. use 6-in belt
567. In the design of a marble tiling machine, which components are a drive motor, Vbelt transmission to a horizontal shaft, at the end of which is mounted a circular
diamond blade 1 meter distance from the V-belt to the shaft pulley. If a 1m diameter
blade is used which requires a circular speed of 40 meters per second, and the drive
motor runs at 1700 rpm, find the speed ratio.
A. 2.23
C. 2.22
B. 2.32
D. 3.52
568. In, problem no.2, determine the center distance between sheaves, if the pitch
diameter on the small sheave is 152 mm and the larger sheave is 338 mm, and
using standard V-belt D-120 ( actual length is 3131.82 mm ).
A. 1178 mm
C. 1778 mm
B. 1871 mm
D. 1817 mm
569. A V-belt is to transmit 50 HP to a NH 3 compressor. The sheave is 203.2 mm in
diameter and turns at 1150 rpm, while the larger sheave turns at 400 rpm. The
service factor may be taken as 1.5 and the center distance is equal to the diameter
of the larger sheave. Determine the length of belt.
A. 67 in
C. 87 in
B. 77 in
D. 97 in
570. In problem no. 4, determine the no. of belts if the corrected HP per belt is 5.96.
A. use 10 belts
C. use 13 belts
B. use 11 belts
D. use 12 belts
571. Determine the length of belt needed for two flat belt pulleys having a diameters of
70 cm and 30 cm. The center distance is 400 cm and pulleys rotate in same
direction. Assume power transmitted is 10 hp at 200 rpm.
A. 958 cm
C. 589 cm
B. 859 cm
D. 895 cm
572. Determine the width of the belt of a 6 ply rubber belt required for ventilating fan
running at 150 rpm driven from 12 inch pulley on a 800 rpm. The center distance
between pulley is 12 ft and the rated belt tension is 78 lb/in width.
A. 12 in
C. 10 in
B. 6 in
D. 15 in
573 In the design of a marble tiling machine, which components are a drive motor, Vbelt transmission to a horizontal shaft, at the end of which is mounted a circular
diamond blade 1 meter distance from the V-belt to the shaft pulley. If a 1m diameter
blade is used which requires a circular speed of 40 meters per second, and the drive
motor runs at 1700 rpm, find the speed ratio.
A. 2.23
C. 2.22
C. 2.32
D. 3.52
574. Determine the length of belt needed for two flat belt pulleys having a diameters of
70 cm and 30 cm. The center distance is 400 cm and pulleys rotate in same
direction. Assume power transmitted is 10 hp at 200 rpm.
C. 958 cm
C. 589 cm
D. 859 cm
D. 895 cm
575. An idler of 24 teeth is introduced between the 12- tooth pinion with a turning speed
of 800 rpm driving a final 60 tooth gear. What would be the final speed of the driven
gear and its direction relative to the driving gear rotation.
A. 400 rpm and opposite direction
B. 160 rpm and opposite direction
C. 400 rpm and same direction
D. 160 rpm and same direction
576. A spur pinion rotates at 600 rpm and transmit 25 kw to a mating gear. The pitch
diameter of pinion is 100 mm, and the pressure angle is 20. Determine the tangential
load in Newton.
A. 7960
C. 6790
B. 3980
D. 3098
577. A mild-steel-spur gear ( 15-tooth, 20 deg, full depth involute ) pinion , rotating at
750 rpm, is to transmit 30 hp to a mild steel gear rotating at 200 rpm. Determine the
number of teeth in gear.
A. 46
C. 56
B. 50
D. 76
578. In problem no.3, determine the required shaft center to center distance if the
diametral pitch is taken as 5.
A. 3.1 in
C. 5.1 in
B. 4.1 in
D. 7.1 in
579. Design a pair of spur gears for motor drive as follows: motor delivers 50 hp at
1200 rpm; gear reduction , 6 to 1. Assume the pinion pitch diameter to be 5-in;
number of teeth, 15; diametral pitch, 3. Indicate the pitch diameter, number of teeth
and speed of the mating gear.
A. 30-in, 90 teeth, 200rpm
C. 90-in, 30-teeth, 200 rpm
B. 20-in, 80-teeth, 150 rpm
D. 90-in, 30-teeth, 150 rpm
580. In problem no.5, what is the velocity of the driven gear in fpm?
A. 1570
B. 200
C. 1200
D. 2890
581. In problem no.6, find the tooth load.
A.1050
C. 2050
B. 1570
D. 2890
582. A pinion and gear set is carefully cut in a 20 full depth design. The 16-tooth steel
pinion and 72-tooth cast iron gear transmit 50 kw power when the pinion turns 1400
rpm. The face width is 90 mm and the module is 8. Find the center distance between
pinion and gear.
E. 225 mm
C. 987 mm
F. 275 mm
D. 352 mm
583. In problem no 8, find the tangential load on the teeth in Newtons.
A. 1180 N
C. 5328 N
B. 2680 N
D. 8525 N
C.
584. In problem no 8, determine the tangential velocity.
A. 560 m/s
C. 9.38 m/s
B. 650 m/s
D. 3.28 m/s
585. A spur pinion rotates at 1800 rpm and transmit to a mating gear 50 HP. The pitch
diameter is 6 in and the pressure angle is 14.5. Determine the tangential load.
A. 283 lbs
C. 583 lbs
B. 265 lbs
D. 485 lbs
586. Compute the circular thickness of the pitch circle of a 14.5 degree full depth tooth
of 15 diametral pitch. Material used in aluminum bronze.
A. 0.1047
C. 0.0147
B. 0.1074
D. 0.0174
587. Find the tooth thickness on the tooth circle of a 20 degree full depth involute tooth
having a circular pitch of 1.23 and whole depth of 0.75 inch.
A. 10 mm
C. 14 mm
B. 12 mm
D. 16 mm
588. A spur pinion rotates at 1800 rpm transmit 900 kg of tangential load. Determine the
power transmitted to the gear if the pitch diameter of pinion is 4 inches.
A 95 HP
C. 113 HP
B. 100 HP
D. 220 HP
589. A 72 tooth pinion with a turning speed of 450 rpm drives 180 tooth of 14.5 degree
involute angle. What would be the speed of the driven gear?
A. 120 rpm
C. 160 rpm
B. 140 rpm
D. 180 rpm
590. Compute the thickness of a gear having a diametral pitch of 12. The gear tooth
pressure angle is 14.5 degree full depth tooth.
A. 0.0309
C. 0.0507 in
B. 0.1309 in
D. 0.1906 in
591. Find the tooth thickness of a 20 degree full depth involute tooth having a diametral
pitch of 4.
A. 9.97 mm
C. 7.99 mm
B. 3.93 mm
D. 3.97 mm
592. A gear set having a gear ratio of 3 is to be use at a center distance of 16 inches. If
the gear has 80 teeth, what must be the circular pitch?
A. 23.6 mm
C. 29.3 mm
B. 23.9 mm
D. 32.9 mm
593.A pair of gear and pinion having a ratio of 5 with a circular pitch of 0.05 inch,
compute the center distance, in inches, between the gear of 70 tooth and pinion of 14
tooth.
A. 6.18
C. 7.05
B. 6.70
D. 8.61
594. Compute the circular pitch, in inches, of a pair of gear and pinion with ratio of 5.
The center distance indicated is at 18. The gear has 90 teeth and the pinion has 18
teeth.
A. 1.047
C. 0.074
B. 1.740
D. 1.470
595. Determine the center distance, in inches, of a 110 teeth gear mesh with pinion
having a circular pitch of 0.905. Gear/pinion ratio is 5.
15
C. 30
19
D. 37
596. A pair of gear /pinion of 45 teeth and 15 teeth, respectively, with center distance of
40 cm, addendum at 0.725/p and dedendum at 1/p. The gear pressure angle is 20
degree. Compute for the diametral pitch in teeth per cm.
A. 0.60
C. 0.90
B. 0.70
D. 0.75
C.
597. A gear set having a gear ratio of 3 is to be used at a center distance of 254 mm. If
the gear has teeth, what must be the circular pitch?
A. 18.95 mm
C. 25.95 mm
B. 19.95 mm
D. 95.95 mm
598. Find the tooth thickness on the tooth circle of a 20 degree full depth involute tooth
having a circular pitch of 26.6 mm and whole depth of 16 mm.
A. 0.52360 in
C. 0.71681 in
B. 0.41361 in
D. 0.89713 in
599. Compute the circular pitch of a gear having a 5 inches pitch diameter and 40 teeth.
A. 10 mm
C. 12 mm
B. 11 mm
D. 15 mm
600. A pinion and gear is carefully cut in a 20 degree full depth design. The 16 tooth
steel pinion and 72 tooth cast iron gear transmit 50 kw power when the pinion turns
1400 rpm. The face width is 90 mm and modulus of 8. Find the center distance, in mm,
between pinion and gear.
A. 352
C. 280
B. 380
D. 368
601. A pair of gear and pinion having a ratio of 4 with the gear having 100 teeth and the
pinion with 25 teeth. Find the circular pitch, if the center distance is 15 and the pitch, in
inches, if the center distance is 20.
A. 0.94
C. 0.610
B. 0.754
D. 0.552
602. A gear of 80 teeth and a pinion of 20 teeth has a gear and pinion ratio of 4.
Compute the circular pitch, in inches, if the center distance is 20.
A. 1.05
C. 1.35
B. 1.25
D. 2.24
603. A gear of 80 teeth and a pinion of 20 teeth has a gear and pinion ratio of 4. Find
the tooth thickness on the pitch circle of 1.5 degree full depth tooth if the center distance
is 20.
A. 0.268
C. 0.862
B. 0.628
D. 0.925
604. A gear of 80 teeth and a pinion of 20 teeth has a gear and pinion ratio of 4. Find
the diametral pitch of these gears if the center distance is 20.
A. 14.1
C. 16.1
B. 15.1
D. 17.1
605. A gear of 80 teeth and a pinion of 20 teeth has a gear and pinion ratio of 4. Find
the diametral pitch of these gears if the center distance is 20.
A. 2.0
C. 3.0
B. 2.5
D. 3.5
606. . Find the tooth thickness on the tooth circle of a 20 degree full depth involute tooth
having a diametral pitch of 3, circular pitch of 1.0472 and whole depth of tooth at 0.60.
A 10.7 mm
C. 10.1 mm
B. 13.2 mm
D. 7.9 mm
607. The tooth thickness of 13.2 mm on the tooth circle of a 20 degree full depth
involute tooth, circular pitch of 1.0472 and whole depth of tooth at 0.60, Find diametral
pitch.
A. 3
C. 5
B. 4
D. 6
608. A pair of gear with a gear ratio of 3 and 60 gear teeth of 14.5 degree full depth
tooth.
The diametral pitch is 10. Compute the tooth thickness on the pitch circle.
A. 0.570 inch
C. 0.157 inch
B. 0.352 inch
D. 0.142 inch
609. A pair of gear with a gear ratio of 3 and 60 gear teeth of 14.5 degree full depth
tooth.
The tooth thickness of 0.157 inch. Compute the diametral pitch.
A. 10
C. 13
B. 11
D. 12
610. A triple thread worm has a pitch diameter of 3 inches. The wheel has 25 teeth and
a pitch diameter of 5 inches. Material for both the worm and the wheel is of phosphor
bronze. Compute the helix angle.
A. 0.20
C. 13
B. 0.30
D. 14
611. A triple thread worm has a helix angle of 0.20. The wheel has 25 teeth and a pitch
diameter of 5 inches. Material for both the worm and the wheel is of phosphor bronze.
Compute the pitch diameter.
A. 3 inches
C. 5 inches
B. 4 inches
D. 7 inches
612. A 36 tooth pinion with a turning speed of 300 rpm drives 120 tooth gear of 14.5
degrees involute full depth pressure angle. What could be the speed of the driven gear.
A. 1000 rpm
C. 140 rpm
B. 100 rpm
D. 90 rpm
613. Two parallel shaft connected by pure rolling turn in the same direction and having
a speed ratio of 2.75. What is the distance of the two shaft if the smaller cylinder is 22
cm in diameter.
A. 16.6 cm
C. 25.25 cm
B. 30.25 cm
D. 19.25 cm
614. A triple thread worm has a pitch diameter of 3 inches. The wheel has 25 teeth and
a pitch diameter of 5 inches. Material for both the worm and the wheel is of phosphor
bronze. Compute the helix angle.
A. 0.20
C. 13
B. 0.30
D. 14
615. A spur pinion rotates at 600 rpm and transmit 25 kw to a mating gear. The pitch
diameter of pinion is 100 mm, and the pressure angle is 20. Determine the tangential
load in Newton.
A. 7960
C. 6790
B. 3980
D. 3098
616. Find the tooth thickness on the tooth circle of a 20 degree full depth involute tooth
having a circular pitch of 1.23 and whole depth of 0.75 inch.
A. 10 mm
C. 14 mm
B. 12 mm
D. 16 mm
617. Compute the circular pitch, in inches, of a pair of gear and pinion with ratio of 5.
The center distance indicated is at 18. The gear has 90 teeth and the pinion has 18
teeth.
A. 1.047
C. 0.074
B. 1.740
D. 1.470
618. A helical gear having a 14.5 degree normal pressure angle and transverse
diametral pitch of 2. 3622 per cm, the helix angle is at 45 degree and has 8 teeth.
Compute the transverse pressure angle in degrees.
A. 22.2 deg
C. 18.9 deg
B. 19.3 deg
D. 20.9 deg
619. Determine the center distance, in inches, of a 110 teeth gear mesh with pinion
having a circular pitch of 0.905. Gear/pinion ratio is 5.
A. 15
C. 30
B. 19
D. 37
620. Compute the circular pitch in inch of a pair of gears having a ratio of and a center
distance of 10.23. Each gear has 72 teeth and a pinion gear has 18 teeth.
A. 0. 8095
C. 0.8035
B. 0.7825
D. 0.8085
621. A gear set having a gear ratio of 3 is to be used at a center distance of 254 mm. If
the gear has teeth, what must be the circular pitch?
A. 18.95 mm
C. 25.95 mm
B. 19.95 mm
D. 95.95 mm
622. Compute the tooth thickness of 14.5 spur gear with diametral pitch = 5.
A. 0.3979
C. 0.09874
B. 3.1831
D. 0.31416
623. Compute the diametral pitch of 14.5 spur gear with tooth thickness of 0.31416.
A. 5
C. 6
B. 6
D. 7
624. Determine the center distance, in inches, of a 110 teeth gear mesh with pinion
having a circular pitch of 0.905. Gear/pinion ratio is 5.
A. 17
C. 39
B. 19
D. 37
625. Compute the pitch angle of a bevel gear given the pinions number of teeth of 14
and 42 teeth on the gear.
A. 18.4 deg
C. 24 deg
B. 28.5 deg
D. 34 deg
627. The tooth thickness of a gear is 0.5 inch and its circular pitch is 1.0 inch. Calculate
the dedendum of the gear.
A. 0.3183
C. 0.3979
B. 1.250
D. 0.1114
628. Compute the tooth thickness of 14.5 spur gear with diametral pitch = 5.
A. 0.4567
C. 0.09874
B. 3.2456
D. 0.31416
629. An internal gear is set up with a 5 inches diameter pinion and a center distance of
18 inches. Find the diameter of the internal gear.
A. 36 in
C. 26 in
B. 21.5 in
D. 41 in
630. The minimum whole depth of spur gear of 14.5 degree involute type with diametral
pitch of 24 and circular pitch of 0.1309.
A. 0.09000
C. 0.089875
B. 0.89000
D. 0.089758
631. The minimum clearance allowable for meshing spur gears with a circular pitch of
0.1571 and diametral pitch of 20. The spur gear has 25 teeth.
A. 0.007855
C. 0.008578
B. 0.00898
D. 0.005678
632. A spur gear rotates at 1800 rpm and transmit to a mating gear 30 HP. The pitch
diameter is 4 in and the pressure angle is 14.5 degrees. Determine the tangential load
in lbs.
A. 495 lbs
C. 535 lbs
B. 525 lbs
D. 475 lbs
633. A mild-steel-spur gear ( 15-tooth, 20 deg, full depth involute ) pinion , rotating at
750 rpm, is to transmit 30 hp to a mild steel gear rotating at 200 rpm. Determine the
number of teeth in gear.
A. 46
C. 56
B. 50
D. 76
634. . A spur gear rotates at 1800 rpm and transmit to a mating gear 30 HP. The
tangential load is 525 lbs and the pressure angle is 14.5 degrees. Determine the pitch
diameter.
A. 4 in
C. 7 in
B. 5 in
D. 8 in
635. Two parallel shaft connected by pure rolling turn in the same direction and having
a speed ratio of 2.75. What is the distance of the two shaft if the smaller cylinder is 22
cm in diameter.
A. 17.7 cm
C. 25.25 cm
B. 50.68 cm
D. 19.25 cm
636. Determine the no. of teeth of a gear having a velocity ratio of 1.75. The pinion has
36 teeth.
A. 63
C. 53
B. 58
D. 48
637. An internal gear is set up with a 6 inches pinion and center distance of 30 inches.
Determine the diameter of the internal gear.
A. 60 in
C. 72 in
B. 66 in
D. 75 in
638. Compute the tooth thickness of 14.5 degree involute gear with diametral pitch of 3.
A. 0.2546 in
C. 0.4876 in
B. 0.2765 in
D. 0.5236 in
639. Determine the no. of teeth of a gear having a velocity ratio of 1.75. The pinion has
36 teeth.
A. 63
C. 53
B. 58
D. 48
640. A 3 in diameter short shaft carrying 2 pulleys close to the bearings transmits how
much horsepower if the shaft makes 280 rpm.
A. 199 HP
C. 200 HP
B. 198 HP
D. 210 HP
641. A 2.5 in diameter by 2 in long journal bearing is to carry a 5500lb load at 3600 rpm
using SAE 40 lube oil at 200F through a single hole at 25 psi. Compute the bearing
pressure.\
A. 1100 psi
C. 1000 psi
B. 900 psi
D. 950 psi
642. A journal bearing with diameter of 76.2 mm is subjected to a load of 4900 N while
rotating at 200 rpm. If its coefficient od friction is 0.02 and L/d = 2.5, find its projected
area in mm squared.
A. 12,090
C.13,050
B. 14,165
D. 14,516
643. The rule of thumb in journal bearing design, the clearance ration/clearance
should be
:
A. 0.0090
B. 0.0042
C. 0.0010
D. 0.00120
644. A journal bearing with diameter of 2.25 in is subjected to ma load of 1000lb while
rotating at 200 rpm. If its coefficient of friction is 0.02 and L / D = 3, find the total work of
friction in ft-lb per min.
A. 15.19
C.1958
B. 6.750
D. 2356
645. A deep – groove ball bearing on a missile, supporting a radial load of 890 N, is to
have a design life of 20 hr; with only a 0.5 % probability of failure while n = 4000 RPM.
Using a service factor of 1.2 , choose a bearing.
A. Ball Bearing #201 w/ Fr = 5249 N
B. Bearing # 301 w/ Fr = 5440 N
C. all Bearing # 301 w/ Fr = 5004 N
D. all None of the above
646. The main bearings of a one cylinder steam engine are 152 mm diameter and 280
mm long and support a load of 4400 kg. The bearings are well ventilated and are heavy
in construction, The coefficient of friction in bearings is 0.017 and crankshaft rotates at
450 rpm. Bearing diametrical clearance is 0.152 mm. Determine the friction loss per
bearing.
A. 73.5 psi
B. 72 psi
C. 75.3 psi
D. 74 psi
647. The main bearings of a one cylinder steam engine are 152 mm diameter and 280
mm long and support a load of 4400 kg. The bearings are well ventilated and are heavy
in construction, The coefficient of friction in bearings is 0.017 and crankshaft rotates at
450 rpm. Bearing diametrical clearance is 0.152 mm. Determine the unit loading.
A. 1.413 kw
C. 1.2 kw
B. 1.314 kw
D. 1 kw
648. A shaft has a diameter of 200 mm and the load on the bearing is 20 Kn. The
coefficient of friction between the shaft and its bearing is 0.05 and the shaft revolves at
600 rev/min. Calculate the power loss in friction.
A. 6.284 kw
C. 8.624 kw
B. 4.356 kw
D. 6.844 kw
649. An 8 – in nominal diameter journal bearing is desgned for 140 degree optimum
when bearing length iss 9-in, speed is 1800 rpm, adn the load is 20,000 lb. Calculate
the frictional horsepower loss when this journal operates under the coefficient of friction
of 0.002.
A. 4.56 hp
C. 10.2 hp
B. 5.64 hp
D.15.6 hp
650.
8. A 2 in diameter by 4 inches journal bearing is to carry a load of 10,000 lb at 1750
rpm using SAE40 lube oil. Compute the bearing pressure.
A. 1950 psi
C. 1250 psi
B. 1750 psi
D.1000 psi
651. The minimum clearance allowed for mashing spur gears with circular pith of 0.1571
and diametrical pitch of 20. The spur gear has 25 teeth.
A. 0.007855
C. 0.0085578
B. 0.007558
D. 0.007585
652. Compute the tooth thickness of 14.5 spur gear with diametrical pitch = 5.
A. 0.3979
C.0.03141
B. 3.1831
D. 0.31416
653. To reduce cost in the manufacturing of large worm gears the materials to utilize:
A. alloyed aluminum rim with cast iron spider
B. bronze rim with cast steel spider
C. cast iron rim with bronze spider
D. all of these
654. An internal gear is set up with a 5-in diameter pinion and center distance of 18
inches. Find the diameter of the internal gear.
A. 36 in
C. 26 in
B. 21.5 in
D. 41 in
655. Find the tooth thickness on the tooth circle of a 20 dgree full depth involute tooth
having a diametrical pitch of 3, circular pitch of 1.0472 and whole depth of tooth at 0.60.
A. 10.7 mm
C. 10.1 mm
B.13.2 mm
D. 7.9 mm
656. In pairs of gears, ___ is the plane perpendicular to the axial plane and tangent to
the pitch plane surface.
A. pitch
C. pitch circle
B. pitch plane
D. pitch point
657. The hardness of helical and herringbone fear teeth heat treatment is to 210 to 300
Brinell Hardness, for gear and pinion is at:
A. 360 Brinell min
C 340-350 normally
B. 400 Brinell max
D. all of the above
658. The path of contact in involute gears where the force/power is actually transmitted.
It is a straight imaginary line passing through the pitch point and tangent to the base
circle.
A. principal reference plane
C. front angle
B. pitch point
D. line of action
659. The tooth thickness of a gear is 0.5 inch and its circular pitch is 1.0 inch. Calculate
the dedendum of the gear.
A. 0.3183
C. 0.3979
B. 1.250
D. 0.1114
660.Compute the pitch/angle of a bevel bear given the pinion’s number of teeth of 14
and 42 teeth on the gear.
A. 18.4 deg
C. 33.4 deg
B. 28.5 deg
D. 38.4 deg
661. Compute the circular pitch (in inches) of a pair of gears having a ratio of 4 and a
center distance of 10.23. Each gear has 27 teeth and pinion has 18 teeth.
A.0.8095
C. 0.8035
B. 0.7825
D. 0.8085
662.A 2 in solid shaft is driven by a 36 in gear and transmits power at 120 rpm. If
allowable shearing stress is 12 ksi, what horsepower can be transmitted?
A. 29.89
C. 38.89
B. 35.89
D. 34.89
663. Compute the speed of the gear mounted on 52.5-mm diameter shaft receiving
power from a driving motor with 250 hp.
2182 rpm
C. 2282 rpm
2071 rpm
D. 2341 rpm
664. The minimum whole depth of spur gear of 14 ½ degree involute type with
diametrical pitch of 24 and circular pitch of 0.1309.
A. 0.09000
C. 0.089875
B. 0.08900
D. 0.089758
665. A spur pinion rotates at 1800 rpm and trnsmits to a mating gear 30 HP. The pitch
diameter is 4 inches and the pressure angle is 14 ½. Determine the tangential load in
lbs.
A. 495
C. 535
B. 525
D. 475
666. In the gear design, the ttotal work load must be equally shared by its arms.
Rim must be rigid to support these arms and the bead is recommended for its stiffening
value. The assumption in thee detailed design of the rim and depth of bead is circular
pitch.
A. 0.65
C. 0.56
B. 0.50
D. 0.44
667. A helical gear having a 14 ½
diametrical pitch of 2.6322 per cm, the
transverse pressure angle in degrees.
A. 22.2
B. 19.3
degree normal pressure angle and transverse
helix is 45 degree and has 8 teeth. Compute the
C.18.9
D. 20.1
668. For moderate speed of mating gears, the ideal ratio of contact is:
A. 1.25-4
C. 1-1.3
B. 1.2-1.45
D. 1.35-1.45
669. The length of arc between the sides of a gear tooth on the circle:
A. circular thickness
C. helix angle
B. axial plane
D. chordal curves
670. Ideal herringbone gear helix is in the range of
A. 30 to 45
C. 25 to 30
B. 35 to 40
D. 15 to 20
671. What type of gears that can transmit power at an angle?
A. helical gear
C. bevel gear
B. worm gear
D. herringbone gear
672. A pair of gear with gear ratio of 3 to 60 gear teeth of 14 ½ degree full depth tooth.
The diametrical pitch is 10. Compute the tooth thickness on the pitch circle.
A. 0.570 in
C.0.157 in
B. 0.352 in
D. 0.124 in
673. A triple thread worm has a pitch diameter of 3 inches. The wheel has 25 teeth and
a pitch diameter of 5 inches. Material from both the worm and wheel is of phosphor
bronze. Compute the helix angle.
A. 0.20
C. 0.40
B. 0.30
D. 14
674. The normal helix angles in helical gears is recomended in the range of
degrees.
A. less than 18
C. 15 to 25
B. 20 to 35
D. 20 to 30
675. A 36 tooth pinion with a turning speed of 300 rpm drives 120 tooth gear of 14 ½
degrees involute full depth pressure angle. What would be the speed of the driven
gear.
A. 1000 rpm
C. 90 rpm
B. 100 rpm,
D. 140 rpm
676. In designing gears for power transmission consider an efficiency of what as
recommended.
A. 96% or more
C. 85 % or more
B. 89% or more
D. 98% or more
677. The ideal thickness of the cutter at the pitchline for cutting helical gears should be
of the mounted circular pitch.
A. 3/8
C. 1/2
B. ¾
D. 5
678. A pair of gear/pinion of 42 tooth and 18 tooth with a diametrical pitch of 0.7874
teeth/cm and the addendum is 0.8/p and the dedendum1/p. The gear pressure
pressure angle is 20 degree. Compute the center distance of the pair of gears in
meters.
A. 0.5026 m
C. 0.3516 m
B. 0.3426 m
D. 0.4013 m
679. A keyed gears deliver a torque of 12.4 N-m thru its shaft of 63.5 mm outside
diameter. If the key has thickness of 15.875 mm and with of 11.1125, find the length of
the key. Assume the permissible stress values of 61.2 Mpa for shear and tension at
99.8 Mpa.
A. 47.42 mm
C. 42.22 mm
B. 39.72 mm
D. 46.952 mm
679. A gear set having a gear ration of 3 is to be used at a center distance od 10
inches. if the gear has 60 teeth., what must be the circular pitch?
A.0.7236 in
C. 0.8970 in
B.0.7854 in
D. 0.7283 in
680.Compute the speed of the gear mounted in a 52.5 mm diameter shaft receiving
power from a prime mover with 250 Hp.
A. 2182 rpm
C. 2282 rpm
B. 2081 rpm
D. 2341 rpm
681. Compute the tooth thickness of 14.5 degree spur gear with diametrical pitch of 5.
A. 0.34116 in
C. 0.31416 in
B. 0.31146 in
D. 0.31461 in
682.Compute the tooth thickness of 14.5 degree spur gear with diametrical pitch of 7.
A. 5.7 mm
C. 7.5 mm
B. 6.8 mm
D. 9.8 mm
683. Find the center distance between gears with 50 teeth and 25 teeth if the dametral
pitch is 5.
A. 9.5
C. 8.5
B. 6.5
D. 7.5
684. Find the tooth thickness of the gear given diametrical pitch of 5.
A. 0.2188 in
C. 0.31416 in
B. 0.41367 in
D. 0.57894 in
685. A pair of gear with gear ratio of 3 and 60 teeth of 14 ½ degree full depth tooth.
The diameteral pitch is 10. Compute the tooth thickness on the pitch circle.
A. 0.570 in
C. 0.157 in
B. 0.352 in
D. 0.142 in
686. Determine the no. of teeth of a gear having a velocity ration of 1.75. The pinion
has 36 teeth.
A. 63
C. 53
B. 58
D. 48
687.A triple thread worm has a pitch diameter of 3 inches. The wheel has 25 teeth and
a pitch diameter of 5 inches. Material for both the worm and the wheel is of phosphor
bronze. Compute the helix angle (tan x)
A. 0.20
C. 0.40
B. 0.30
D. 14
689. Two parallel shaft connected by pure rolling turn in the same direction and having
a speed of 2.75. What is the distance of the two shaft if the cylinder is 22 cm in
diameter.
A. 16.6 cm
C. 25.25 cm
B. 30.25 cm
D. 19.25 cm
690. A gear set having a gear ration of 3 is to be used at a center distance of 16
inches. if the gear has 80 teeth., what must be the circular pitch?
A. 21.6 mm
C.23.6 mm
B. 29.3 mm
D. 32.9 mm
691. A spur gear rotates at 1800 rpm trnasmits 900 kg of tangential load. Determine
the power transmitted to the gear if the diameter of pinion is 4 inches.
A. 95 hp
C. 220hp
B. 100 hp
D. 113 hp
692. Two shafts are connected by spur gears. The pitch radii of gears A and B are 100
mm and 500 mm respectively. If shaft A makes 800 rpm and is subjected to a resisting
torque of 113 N-m. What is the torque in shaft B?
A. 375 N-m
C.565 N-m
B. 495 N-m
D.690 N-m
693. Find the tooth thickness on the tooth circle of a 20 degree full depth involute
tooth having a circular pitch of 26.6 mm and whole depth of 16 mm.
A. 0.52360 in
B. 0.41361 in
C. 0.71681 in
D. 0.89713 in
694. Two shafts are connected by spur gears. The pitch radii of gears A and B are
100 mm and 700 mm respectively. If shaft A makes 1200 rpm and is subjected to a
resisting torque of 130 N-m. What is the torque in shaft B?
A.
910 N-m
C. 810 N-m
B. 710 N-m
D. 890 N-m
695. A mild steel spur gear ( 15- tooth, 20 degree, full depth involute) pinion, rotating
at 750 rpm, is to transmit 30 hp to a mild steel gear rotating at 200 rpm. Determine the
number of teeth in gear..
A. 46
C. 56
B. 50
D. 76
696. A mild steel spur gear ( 15- tooth, 20 degree, full depth involute) pinion, rotating
at 750 rpm, is to transmit 30 hp to a mild steel gear rotating at 200 rpm. Determine the
required shaft center to center distance if diametrical pitch is taken as 5.
A. 3.1 in
C.5.1 in
B. 4.1 in
D. 7.1 in
697. Design a pair of spur gears for a motor drive; motor delivers 50 hp at 1200rpm;
gear reduction, 6 to 1. Assume pinion pitch diameter to be 5-in; number of teeth, 15;
diametrical pitch, 3. Indicate the pitch diameter, number of teeth and speed of the
mating spur gear.
A.30 in, 90 teeth, 200 rpm
C. 90 in, 30 teeth, 200 rpm
B. 20 in, 80 teeth, 150 rpm
D. 90 in, 30 teeth, 150 rrpm
698. In the previous prob., what is the velocity of the driven gear.
A. 1570
C.1200
B. 200
D.1500
699.In the previous problem, find the tooth load.
A. 1050 lb
C. 2050 lb
B. 1570 lb
D. 2890 lb
700. A 72 tooth pinion with a turning speed of 450 rpm drives 180 toothe gear of 141/2
degree involute angle. What would be the speed of the driven gear?
A. 120 rpm
C. 160 rpm
B. 140 rpm
D. 180 rpm
701. Compute the tooth thickness of a gear tooth having a diametrical pitch of 12. The
gear tooth pressure angle is 14 1/2 degree full depth tooth.
A. 0.0309 in
C. 0.0507 in
B. 0.1309 in
D. 0.1906 in
702. Find the tooth thickness of a 20 degree full depth involute tooth having a
diametrical pitch of 4.
A. 9.97 mm
C. 7.99 mm
B. 3.93 mm
D. 3.97 mm
703. A gear of 80 teeth and a pinion of 20 teeth has a gear and pinion ration of 4.
Compute the circular pitch, in inches, if the center distance is 20.
A. 1.05
C. 1.35
B. 1.25
D. 2.24
704. A gear of 80 teeth and a pinion of 20 teeth has a gear and pinion ration of 4. Find
the diametrical pitch of these gears if the center distance is 20.
A. 2
C3
B. 2.5
D. 3.5
705. A coiled spring with a 5 cm of outside diameter is required to work under the load
of 190 N. The wire diameter is 5 mm, the spring is to have 6 active coils and the ends
are to be closed and ground. Determine the total number of coils. The modulus od
rigidity is 80 Gpa and the mean radius is to be 23 mm, with pitch of the spring.
A. 6.5 coils
C. 8.5 coils
B. 7.5 coils
D. 9.5 coils
706. A helical spring having squared and ground ends has a total of 18 coils and its
material has modulus of elasticity in shear of 78.910 Gpa. If the spring has an outside
diameter of 10.42 cm and a wire diameter of 0.625 cm, compute the maximum
deflection that can be produced in the spring due to a load of 50 kgs.
A. 302 mm
C. 490 mm
B. 342 mm
D. 322 mm
707. A high alloy spring having squared and ground ends and has a total of 16 coils and
modulus of elasticity in shear of 85 Gpa. Compute the Wahl factor. The spring outside
diameter is 9.66 cm and wire diameter of 0.65 cm.
A. 1.058
C. 1.185
B. 1.10
D. 1.2
708. A three extension coil springs are hooked in series that support a single weight of
100 kgs. The first spring is rated at 0.400 kg/mm and the other 2 lower springs is rated
at 0.64 kg/mm. compute the total deflection.
A. 563 mm
C, 156 mm
B. 268 mm
D. 250 mm
709. Find the number of active coils of a No. 8 wire helical spring with index of 6, steady
load with spring rate of 42.5 lb/in. maximum allowable stress is 60 ksi.
A. 25
C. 29
B. 28
D. 22
710. Compute the maximum deflection of a 20 coils helical springs having a load of
75 kgs. The spring is a squared/grounds ends with modulus of elasticity in shear of
79.84 Gpa, outside diameter of 101.6 mm, wire diameter of 9.525 mm.
A. 140.7 mm
C. 15.17 mm
B. 112.7 mm
D. 126.7 mm
711. A helical compression spring has a scale of 400 lbs./inch, an inside diameter of 2.5
inches, a free length of 8 inches and with squared and ground ends. Material is to be
chrome vanadium steel. For a load, P, of 750 pounds and for average service,
determine the standard size wire diameter.
A. ½ in.
C. 1/3 in.
B. 1/5 in.
D. ¼ in.
712. A helical compression spring has a scale of 400 lbs./inch, an inside diameter of
2.5 inches, a free length of 8 inches and with squared and ground ends. Material is to
be chrome vanadium steel. For a load, P, of 750 pounds and for average service,
determine the number of active coils.
A. 7.8242
C. 7.8125
B. 8.7625
D. 6.9032
713. A helical compression spring has a scale of 400 lbs./inch, an inside diameter of
2.5 inches, a free length of 8 inches and with squared and ground ends. Material is to
be chrome vanadium steel. For a load, P, of 750 pounds and for average service,
determine the solid height?
A. 4.659 in.
C. 4.906 in
B. 5.795 1n.
D. 8.549 in.
714. A helical compression spring has a scale of 400 lbs./inch, an inside diameter of
2.5 inches, a free length of 8 inches and with squared and ground ends. Material is to
be chrome vanadium steel. For a load, P, of 750 pounds and for average service,
determine the stress at solid height?
A. 78,693 psi
C. 65,493 psi
B. 94,735 psi
D. 87,795 psi
B
715.
A safety valve spring having 9 ½ coils has the ends squared and ground. The
outside diameter of the coil is 115 mm. and the wire diameter is 13 mm. IT has a free
length of 203 mm. Determine the length of the wire to which this spring must be initially
compressed to hold a boiler pressure of 1.38 Mpa on the valve seat of 32 mm diameter.
Modulus of rigidity is taken as G = 80 GN / m square.
A. 172 mm.
C. 192 mm.
B. 158 mm.
D. 179 mm.
716.
A safety valve spring having 9 ½ coils has the ends squared and ground. The
outside diameter of the coil is 115 mm. and the wire diameter is 13 mm. IT has a free
length of 203 mm. Find the spring stress if it is compressed to its solid length.
A. 450 Mpa
C. 328 Mpa
B. 521 Mpa
D. 400 Mpa
718. A solenoid brake is to be actuated by a helical compression spring. The spring
should have a free length of approximately 18 in. (457.2 mm.) and is to exert a
maximum force of 2850 lbs. (12677.4 N) when compressed to a length of 15 in. (381
mm. ) The outside diameter must not exceed 7 in. 177.8 mm.) Using oil-tempered wire,
design a spring for this brake ( wire diameter, coil diameter , number of active coils.
General Electric used a spring made of 1 in wire, with an outside diameter of 6 in and
11 ½ free coils for a similar applications.
A. 12.10 coils
C. 15.30 coils
B. 11.50 coils
D. 13.60 coils
719.
A solenoid brake is to be actuated by a helical compression spring. The spring
should have a free length of approximately 18 in. (457.2 mm.) and is to exert a
maximum force of 2850 lbs. (12677.4 N) when compressed to a length of 15 in. (381
mm. ) The outside diameter must not exceed 7 in. 177.8 mm.) Using oil-tempered wire,
design a spring for this brake ( wire diameter, coil diameter, pitch angle? General
Electric used a spring made of 1 in wire, with an outside diameter of 6 in and 11 ½ free
coils for a similar applications.
A. 3.91 deg.
C. 4.81 deg.
B. 4.10 deg.
D. 5.10 deg.
720. A solenoid brake is to be actuated by a helical compression spring. The spring
should have a free length of approximately 18 in. (457.2 mm.) and is to exert a
maximum force of 2850 lbs. (12677.4 N) when compressed to a length of 15 in. (381
mm. ) The outside diameter must not exceed 7 in. 177.8 mm.) Using oil-tempered wire,
design a spring for this brake ( wire diameter, coil diameter , find the max. solid stress?
General Electric used a spring made of 1 in wire, with an outside diameter of 6 in and
11 ½ free coils for a similar applications.
A. 504.15 Mpa
C.406.15 Mpa
B. 604.15 Mpa
D. 704.15 Mpa
721.
A coil spring is to be used for the front spring of a automobile. The spring to
have a rate of 400 lb/in ( 70.05 N/mm) an inside diameter of 102.8 mm. and a free
length of 358.775 mm. with squared and ground ends The material is to be oil-tempered
chrome vanadium steel. Decide upon the diameter of the wire and the number of free
coils for a design load of F = 1500 lbs (6672.3). Be sure “ solid stress” is all right. How
much is the pitch angle?
A. 4.65 deg.
C. 5.64 deg.
B. 12.15 deg.
D. 10.60 deg.
722.
The front spring of an automobile has a total of 9 ½ coils, 7 3/8 active coils
( squared - and – ground ends ) an inside diameter of 4 3/64 in. and a free length of
361.95 mm. It is made of SAE 9255 steel wire OQT 1000 ‘F , with a diameter of 43/64
in. ( 17.0556 mm.) Compute the rate ( scale) of the spring?
A. 76.9 N / mm.
C. 56.9 N / mm.
B. 66.9 N / mm.
D. 86.9 N / mm.
723. The front spring of an automobile has a total of 9 ½ coils, 7 3/8 active coils
( squared - and – ground ends ) an inside diameter of 4 3/64 in. and a free length of
361.95 mm. It is made of SAE 9255 steel wire OQT 1000 ‘F , with a diameter of 43/64
in. ( 17.0556 mm.) Compute the solid stress?
A. 990.10 N/mm 2
C. 899.50 N/mm. 2
B. 999.60 N/mm. 2
D. 993.30 N/mm. 2
724.
It is desired to isolate a furnace, weighing 47,300 lb from the surroundings by
mounting it on helical springs. Under the weight the springs should deflect
approximately 1 in and at lest 2 in before becoming solid. IT has been decided to use
springs having a wire diameter of 1 in. , an outside diameter of 5 3/8 in. (136.525 mm.)
4.3 free coils. Determine the number of springs to be used?
A. 12
C. 11
B. 10
D. 9
725.
It is desired to isolate a furnace, weighing 47,300 lb from the surroundings by
mounting it on helical springs. Under the weight the springs should deflect
approximately 1 in and at lest 2 in before becoming solid. IT has been decided to use
springs having a wire diameter of 1 in, an outside diameter of 5 3/8 in. (136.525 mm.)
4.3 free coils. Determine the stress caused by the weight?
A. 411.77 Mpa
C.511.78 Mpa
B. 611.76 Mpa
D. 711.77 Mpa
726.
It is desired to isolate a furnace, weighing 47,300 lb from the surroundings by
mounting it on helical springs. Under the weight the springs should deflect
approximately 1 in and at lest 2 in before becoming solid. IT has been decided to use
springs having a wire diameter of 1 in., an outside diameter of 5 3/8 in. (136.525 mm.)
4.3 free coils. Determine the “ solid stress “ ?
A. 734.3 Mpa
C. 644.3 Mpa
B. 437.6 Mpa
D. 834.3 Mpa
727. It is desired to isolate a furnace, weighing 47,300 lb from the surroundings by
mounting it on helical springs. Under the weight the springs should deflect
approximately 1 in and at lest 2 in before becoming solid. IT has been decided to use
springs having a wire diameter of 1 in. , an outside diameter of 5 3/8 in. (136.525 mm.)
4.3 free coils. What steel should be used?
A. Alloy Steel , 807 Mpa
C. Stainless Steel, 707 Mpa
B Carbon Steel, 607 Mpa
D Chrome Steel, 808 Mpa
728. Compute the deflection of a coils helical spring having a load of 100 kgs. The
modulus of elasticity in shear of spring is 96.5 Gpa, OD of 9.256 and with diameter of
9.525 mm. The spring is squared and ground ends.
A. 9cm
C. 11 mm
B. 101 cm
D. 14 mm
729. All four compression coil spring support one load of 400 kg. All four spring are
arranged in parallel and rated same kg/mm. Compute the deflection in mm.
A. 564
B. 1457
C. 171
D. 141
730. A three extension coil springs are hooked in series that support a single weight of
100kgs. The first spring is rated at 0.400 kg/mm and the other 2 lower is rated at 64
kg/in. Compute the total deflection.
A. 563 mm
C. 156 mm
B. 268 mm
D. 250 mm
731. A Mercedez Benz gas engine valve spring is to have a mean diameter of 3.81 cm
and a wire diameter of 0.635 cm. The maximum load it will have to sustain is 45.45 kg
with corresponding deflection of 1.27 cm. The spring is to be made of tempered steel
wire. Determine to no. of coils to be used. Use modulus of rigidity equal to 11.6 x 10 6
psi.
A. 7.4
C. 10.4
B. 8.1
D. 14.4
732. Compute the deflection of a 20 coils helical spring having a load of 120 kgs. The
modulus of elasticity in shear of spring is 98 Gpa, OD of 10 and with diameter of 10
mm. The spring is squared and ground ends.
A. 162.1 mm
C. 134.1 mm
B. 154.4 mm
D. 126.1 mm
733. A body weighing 1000lbs falls 6 inches and strikes a 2000 lb per in spring. The
deformation of the spring is:
A. 1 in
C. 3 in
B. 2 in
D. 4 in
734. All four compression coil spring support one load of 400 kg. All four spring are
arranged in parallel and rated same kg/mm. Compute the deflection in mm
A. 64
C. 178
B. 147
D. 287
735. A tension spring is to stretch 100 mm when subjected to a maximum load of 250 N.
The mean diameter of the spring is 7 times the diameter of the wire. The maximum
permisssible stress is to be 415 Mpa. Modulus of elasticity in shear for the wire is 80
Gpa. Determine the no. of of active coils if the wire diameter is0.148 in.
A. 42.5
C. 47.1
B.43.8
D. 49.2
736. . Compute the Wahl factor of the spring if the outside is 10 cm and wire diameter is
0.5 cm.
A. 1.066
C.1.66
B. 1.089
D. 1.25
737. Compute the stress factor of the spring if the outside diameter is 6 cm and wire
diameter is 0.5 cm.
A. 1.980
C. 1.109
B. 1.810
D. 1.019
738. Four compression springs are arranged in parallel to support a load of 800 kgs.
The spring rate is 1.5 kg/mm. Determine the deflection of the springs.
A. 166 mm
C. 144 mm
B. 155 mm
D. 133 mm
739. A 100 HP engine running at 225 rpm is belted to an electric generator. The band
wheel in the engine is 6 feet in diameter. Assuming an arc of contact on the generator
pulley to be 150 deg, determine the necessary belt for a double ply oak tanned leather
belt 3/8 in thick.
A. 8 in
C. 9 in
B. 5 in
D. 10 in
740. Type of V-belts to use in a driving pulley with speed of 360 rpm and transmitting 5
HP:
A. Type C belts
C. Type A belt
B. Type B belts
D. Type D belts
741. In shear pin or breaking pin design, we may use the data experienced by link belt
from 1/8 inch to 1 inch pins and the breaking stress is ____ksi.
A. 40
C. 50
B. 55
D. 48
742. It is advised that in rubber belts application/mouning, it should have an initial
tension of ___ inch/ply.
A.18 to 24
C. 12 to 15
B. 15 to 20
D. 10
743. V-belts operate efficiently at a speed of about (fpm):
A. 4500
C. 4200
B. 4400
D. 3600
744. Determine the width of 6 ply rubber for a ventilating fan running at 150 rpm driven
from a 12 inch pulley on a 70 Fp at 800 rpm. The center distance between pulley is 12
ft and the rated belt tension is 70.0 lb/in width.
A. 12
C. 10
B. 6
D. 15
745. A line shaft runs at 360 rpm. A 18 inches pulley on the same shaft is belt
connected to a 12 inches pulley on the countershaft. From a 15 inches pulley on the
countershaft, motion is transmitted to the machine. Compute and check the required
diameter of the pulley on the machine to a given spindle speed of 660 rpm.
A. 16 in
C.10 in
B. 12 ¼ in
D. 8 in
746. A pulley 610 mm in diameter transmits 40 kw at 500 rpm. The arc of contact
between the belt and pulley is 144 degrees, the coefficient of friction between the belt
and pulley is 0.35 and safe working stress of the belt is 2.1 Mpa. Find the width of the
belt used if its thickness is 6 mm.
A. 250 mm
C. 340 mm
B. 300 mm
D. 430 mm
747. . A slurry pump is to be driven bt a 50 Hp, 2400 rpm diesel engine and operating
under moderate shock load with service factor of 1.2. The pump will operate at 800 rpm
and using type b V- belt. The available small sheave diameter is 5.4 in and having a
factor of 1.14. The arc of contact factor is 0.89 and length of belt factor 0.9.7. Find the
no. of belts used.
A. 9
C. 11
B. 10
D. 12
748. A V –belt is to transmit 50 Hp to a Nh3 compressor. The sheave is 203.2 mm in
diameter and turns at 1150 rpm, while the larger sheave turns at 400 rpm. Thee service
factor may be as 1,5 and the center distance is equal to the diameter of the larger
sheave. Determine the length of belt.
A. 67 in
C. 87 in
B. 77 in
D. 97 in
749. A V –belt is to transmit 50 Hp to a Nh3 compressor. The sheave is 203.2 mm in
diameter and turns at 1150 rpm, while the larger sheave turns at 400 rpm. Thee service
factor may be as 1,5 and the center distance is equal to the diameter of the larger
sheave. Determine the no. of belts if the corrected factor Hp is 5.96.
A. 10 beltsB.
C. 12 belts
B. 11 belts
D. 13 belts
750. In the design of a marble tiling machine, which components are a drive motor, Vbelt transmission to a horizontal shaft, at the end of which is mounted a circular
diamond blade 1 meter distance from the v-belt shaft pulley. If a 1 meter diameter blade
is used which requires a circular speed of 40 meters per second, and the drive motor
runs at 1700 rpm , find the speed ratio.
A 2.23
C. 3.22
B. 2.32
D. 3.52
751. In the design of a marble tiling machine, which components are a drive motor, Vbelt transmission to a horizontal shaft, at the end of which is mounted a circular
diamond blade 1 meter distance from the v-belt shaft pulley. If a 1 meter diameter blade
is used which requires a circular speed of 40 meters per second, and the drive motor
runs at 1700 rpm. Determine the center distance between sheaves, if the pitch diameter
of the small sheave is 152 mm and the larger sheave is 338 mm, and using standard Vbelt D-120 ( actual belt length is 3181.82)
A. 1178 mm
C. 1778 mm
B. 1871 mm
D. 1817 mm
752. Flat belt is used to connect two pulleys rotating in opposite direction having a
center distance of 130 cm. The diameter of the pulleys are 36 cm and 48 cm. Determine
the length of belt.
A. 330cm
C. 380 cm
B. 367 cm
D. 425 cm
753. A transmission shafts carrying 24 in pulley rotating in opposite at 300 rpm
transmits power to another with a pulley diameter of 8 in. Determine the power
transmitted to the final pulley if the torque is 750 ft-lb.
A. 112.5 Hp
C. 128.52 Hp
B. 121.30 Hp
D. 134.50Hp1
754. . Two flat belts pulleys having a center distance of 6 ft, have diametere of 4 ft and
1.5 ft. Find the length of belt if both pulley rotate in the same direction.
A. 21 ft
C. 30 ft
B. 25 ft
D. 34 ft
755. A band brake is installed on a drum rotating at 250 rpm, and a diameter of 900
mm. The angle of contact is 1.5 pi radians and one end of the brake band is fastened to
a fixed pin while the other end to the brake arm 1500 mm. from the fixed pin The
coefficient of friction is 0.25 and the straight brake arm is 1000 mm. long and is place
perpendicular to the diameter bisecting the angle of contact. Determine the minimum
force in newtons applied at the kilowatts is being absorbed.
A. 37 mm
C.40 mm.
B.39 mm.
D. 38 mm.
756. The above differential band brake has an angle of contact, angle o, equal to 280
degrees and is to sustain a torque of 7,000 in-lbs. The band has a compressed woven
lining and bears against a cast iron drum of 14 inches diameter. Coefficient of friction is
0.3. Other dimensions are: a = 20”, b = 1” , c = 5”. Determine the necessary operating
force F in pounds.
A. 11 lbs.
C. 10 lbs.
B. 14 lbs.
D. 12 lbs.
757. A simple band brake has a 76 cm. drum and fitted with a steel band 2/5 cm. thick
lined with a brake lining having a coefficient of friction of 0.25. The arc of contact is 245
deg. The drum is attached to a 60 cm. hoisting drum, that sustains a rope load of 820
kg. The operating force has a moment arm of 1.50 m. and the band is attached 12 cm.
from the pivot point. Find a torque just required to support the load (clockwise)
A. 2,413.26 N-m
B. 3,492.31 N-m.
C. 2,453.29 N-m
D. 1,894.82 N-m
758. A s A simple band brake has a 76 cm. drum and fitted with a steel band 2/5 cm.
thick lined with a brake lining having a coefficient of friction of 0.25. The arc of contact is
245 deg. The drum is attached to a 60 cm. hoisting drum, that sustains a rope load of
820 kg. The operating force has a moment arm of 1.50 m. and the band is attached 12
cm. from the pivot point. Find what force ( F ) is required if the direction of rotation is
reversed?
A. 679.5 N
B. 659.5 N
C. 783.7 N
D. 773.8 N
759. A s A simple band brake has a 76 cm. drum and fitted with a steel band 2/5
cm. thick lined with a brake lining having a coefficient of friction of 0.25. The arc of
contact is 245 deg. The drum is attached to a 60 cm. hoisting drum, that sustains a rope
load of 820 kg. The operating force has a moment arm of 1.50 m. and the band is
attached 12 cm. from the pivot point. Find width of a steel band for a tensile stress of 50
Mpa.
A. 52.4 mm.
B. 43.9 mm.
C. 48.4 mm
D. 67.7 mm
760. . A truck skids to a stop 60 m after the application of the brakes while traveling
60 kph. What acceleration in m/ sec squared?
A. –5.21
C. –7.06
B. 6.36
D. 5.76
at
761. A band brake is to absorb 5 Hp at 200 rpm. The maximum pressure of the lining
and the drum is 120 psi. The angle of wrap is 3.6 radians, the width of the band is 3
inches and f = 0.15. Find the forces at the tight side. the diameter of the drum is at 8
inches.
A. 2680 lbs
C. 3380 lbs
B. 2880lbs
D. 2980 lbs
762. A steel tie rod on bridge must be made to withstand a pull of 5000 lbs. Find the
diameter of the rod assuming a factor of safety of 5 and ultimate stress of 64,000 lb/in 2.
A. 0.75 in.
C. 0.84 in.
B. 0.71 in.
D. 0.79 in
763. If the ultimate shear strength of a steel plate is 42,000 lb/in 2, what force is
necessary to punch a 0.75 in diameter hole in a 0.625 in thick plate?
A. 63,000 lbs
C. 61,800 lbs
B. 68,080 lbs
D. 66,800 lbs
764. What force P is required to punch a ½ in hole on the a 3/8 in thick plate if the
ultimate shear strength on the plate is 42,000 psi?
A. 24,940 lbs
C. 24,620 lbs
B. 24,960 lbs
D. 24,740 lbs
765. A 2.5 in diameter by 2 in long journal bearing is to carry a 5500 lb load at 3600
rpm using SAE 40 lube oil at 200F through a single hole at 35 psi. Compute th bearing
pressure.
A. 1100 psi
C. 1000 psi
B. 900 psi
D. 950 psi
766. A journal bearing with a diameter of 76.2 mm is subjected to a load of 4900 N
while rotating a 200 rpm. If a friction is 0.02 and the L/D = 2.5, find its projected area in
mm2.
A. 12, 090
C. 13,050
B. 14,165
D. 15,516
767. What modulus of elasticity in tension is required to obtained of unit deformation
of 0.00105 m/m from a load producing a unit tensile stress of 44,000 psi?
A. 42.300 x 106 psi
C. 43.101 x 106 psi
B. 41.202 x 106 psi
D. 41.905 x 106 psi
768. The shaft whose torque varies from 2000 to 6000 in-lbs has 1 ½ inches in
diameter and 60,000 psi yield strength. Compute for the shaft mean average stress.
A. 6036 psi
C. 5162 psi
B. 6810 psi
D. 5550 psi
769. How many 5/16 inch holes can be punch in one motion in a steel plate made of
SAE 1010 steel, 7/16 inch thick using a force of 55 tons. the ultimate strength for shear
is 50 ksi and use 2 factor of safety.
A. 5.8
C. 5
B. 3.7
D. 6.2
770. Determine the minimum mean diameter of a taper pin use to fix a lever to a shaft,
if it is to transmit a maximum torque of 700 in-lbs. The shaft diameter is 2 inches and
the material allowable stress is 15,000 psi. Use factor of safety of 2.
A. 7.00 mm
C. 5.2 mm
B. 7.2 mm
D. 6.2 mm
771. A link has load factor of 0.8, the surface factor is 0.92 and the endurance
strength is 28,000 psi. compute the alternating stress of a link if it is subjected to a
reversing load. Assume a factor of safety of 3.
A. 8150
C. 9333
B. 10920
D. 7260
772. The diameter of a brass rod is 6mm. What force will stretch it by 0.2% of its
length. Ebrass = 9 x 1010 Pa.
A. 5090 N
C. 9050 N
B. 5060 N
D. 6050 N
773. An iron column of annular cross-section has an outer diameter of 200 mm and is
subjected to a force of 74 kN. Find the thickness of the wall if the allowable compressive
stress is 10 MPa.
A. 12.75 mm
C. 17.75 mm
B.12.57 mm
D.15.75 mm
774. A force of 10 N is applied to one end of a 10 inches diameter circular rod.
Calculate the stress.
A. 0.20 kPa
C. 0.05 kPa
B. 0.15 kPa
D. 0.10 kPa
775. a steel tie rod on the bridge must be made to withstand a pull of5000 lbs. find the
diameter of the rod assuming a factor of safety of 5 and ultimate stress of 64,000 psi.
A. 0.75
C. 0.84
B. 0.71
D. 0.79
776. Determine the outside diameter of a hollow steel tube that will carry a tensile load
of 500 kN at a stress of 140 MPa. Assume the wall thickness to be one-tenth of the
outside diameter.
A. 111.3 mm
C. 113.7 mm
B. 109.7 mm
D. 112.4 mm
777. If the ultimate shear strength of a steel plate is 42,000 psi, what force is
necessary to punch a 0.75-inch diameter hole in a 0.625 inch thick plate?
A. 63,000
C. 61,850
B. 68,080
D. 66,800
778. What force is required to punch a 1/2-inch hole on a 3/8 thick plate if the ultimate
shearing strength of the plate is 42,000 psi?
A. 24,940
C. 24,960
B. 24,620
D. 24,740
779. A single bolt is used to lap joint two steel bars together. Tensile force on the bar
is 20,000 N. determine the diameter of the bolt required if the allowable shearing stress
is 70 MPa?
A. 17 mm
C. 19 mm
B. 18 mm
D. 20 mm
780. What is the stress in a thin-walled spherical shell diameter D and the wall
thickness t when subjected to internal pressure p?
A. S = D/pt
C. S = pD/4t
B. S = 4D/pt
D. S = pD/t
781. Compute the safe wall thickness of a 76.2 cm diameter steel tank. The tank is
subjected to 7.33 Mpa pressure and the steel material has a yield stress of 215.4 MPa.
The factor of safety is 3.
A.1 1/2 inches
C. 4.09 inches
B. 3.89 inches
D. 3.96 inches
782. A cylindrical water tank is 8 m in diameter and 12 m high. If the tank is to be
completely filled, determine the minimum thickness of the tank plating if the stress is
limited to 40 MPa.
A. 11.77 mm
C. 10.25 mm
B.13.18 mm
D. 12.6 mm
783. A water reservoir of 24 m high and 12 m in diameter is to be completely filled with
water. Find the minimum thickness of the reservoir plating if the stress if limited to 50
MPa.
A. 24. 5 mm
C. 21 mm
B. 28 mm
D. 26 mm
784. The stress in a 90-cm diameter pipe having a wall thickness of 9.5 cm and under
a static head of 70 m of water is
A. 325 kPa
C. 32.5 MPa
B. 32.5 kPa
D. 3.25 MPa
785. A cylindrical tank with 10 inches inside diameter contains oxygen gas at 2,500
psi. Calculate the required thickness in mm under a stress of 28,000 psi.
A. 11.44
C. 10.60
B. 11.34
D. 10.30
786. A solid shaft 48.2 cm long is used for a transmission of mechanical power a rate
of 37 kW running at 1760 rpm. The stress is 8.13 MPa. Calculate the diameter.
A. 30 mm
C. 40 mm
B. 35 mm
D. 50 mm
787. What is the modulus of elasticity if the stress is 44,000 psi and unit strain of
0.00105?
A. 41.905 x 106
C. 41.202 x 106
6
B. 42.300 x 10
D. 43.101 x 106
788. A 2-inch solid shaft is driven by a 36-inch gear and transmits power at 120 rpm. If
the allowable shearing stress is 12 ksi, what horsepower can be transmitted?
A. 29.89
C. 38.89
B. 35.89
D. 34.89
789. A hollow shaft has an inner diameter of 0.035 m and an outer diameter of 0.06 m.
Compute for the torque in N-m, if the stress is not exceed to 120 MPa.
A. 4500
C. 4300
B. 4100
D. 4150
790. Compute the nominal shear stress at a surface in MPa for a 40-mm diameter
shaft that transmits 750 kW at 1500 rpm. Axial and bending loads are assumed
negligible.
A. 218
C. 232
B. 312
D. 380
791. A hollow shaft has an inner diameter of 0.035 m and an outer diameter of 0.06 m.
Determine the polar moment of inertia of the hollow shaft.
A. 1.512 x 10-6- m4
C. 1.152 x 10-6 m4
-6
4
B. 1.215 x 10 m
D. 1.125 x 10-6 m4
792. What power would a spindle 55 mm in diameter transmit at 480 rpm. Stress
allowed for short shaft is 59 N/mm2
A. 42.12 kW
C. 96.88 kW
B. 50.61 kW
D. 39.21 kW
793. A 30-m long aluminum bar is subjected to a tensile stress of 172 MPa. Find the
elongation if E = 69,116 MPa?
A. 0.746 m
C. 6.27 mm
B. 0.007 m
D. 7.46 cm
794. A steel wire is 4.0 m long and 12 mm in diameter. How much is it elongated by a
suspended body of mass 20 kg? Young's modulus for steel is 196,000 MPa.
A. 1.123 mm
C. 1.374 mm
B. 1.385 mm
D. 1.274 mm
795. A steel wire is 6 m long; hanging vertically supports a load of 2000 N. Neglecting
the weight of the wire, determine the required diameter if the stress is not exceed 140
MPa and the total elongation is not to exceed 4 mm. E = 200,000 MPa.
A. 3.4 mm
C. 4.26 mm
B. 4.4 mm
D. 5.4 mm
796. A copper rolled wire 10 m long and 1.5 mm diameter when supporting a weight of
350 N elongates 18.6 mm. Compute the value of the Young's Modulus of this wire.
A. 200 GPa
C. 148.9 GPa
B. 180.32 GPa
D. 106.48 GPa
797. A cylinder of diameter 1.0 cm at 30˚C is to be slid into a hole on a steel plate.
The hole has a diameter of 0.99970 cm at 30˚C. To What temperature the plate must be
heated? Coefficient of linear expansion for steel I 1.2 x 10 -6 ft/˚C.
A. 62˚C
C. 48˚C
B. 65˚C
D. 55˚C
798. An iron steam pipe is 200 ft long at 0˚C. What will its increase in length when
heated to 100˚C? Coefficient of linear expansion is 10 x10 -6 ft/˚C.
A. 0.18 ft
C. 0.28 ft
B. 0.12 ft
D. 0.20 ft
799. A simple beam 10 m long carries a concentrated load of 200 kN at the midspan.
What is the maximum moment of the beam?
A. 250 kN-m
C. 400 kN-m
B. 500 kN-m
D. 100 kN-m
800. A simple supported beam, 10 m long carries a uniformly distributed load of 20
kN/m. What is the value of the maximum shear of the beam due to this load?
A. 250 kN
C. 1000 kN
B. 100 kN
D. 500 kN
801. A simply supported beam, 10 m long carries a uniformly distributed load of 20
kN/m. What is the value of the maximum moment of the beam due to this load?
A. 10,000 kN-m
C. 2,000 kN-m
B. 2,000 kN-m
D. 250 kN-m
802. Compute the torsional deflection in degrees of 110 mm diameter, 1.4 m long shaft
subjected to a twist moment of 3 x 106N-m. The torsional modulus of elasticity is 83000
n/mm2.
A. 0.27
C. 0.20
B. 0.31
D. 0.24
803. Compute for the polar section modulus of an SAE 1060 shafting having a diameter
of 3 in. Use factor of safety of 2 and design stress at 8000 psi.
A. 4.7
C. 4.2
B. 6.1
D. 5.3
804. Three forces, 20 N, 30 N and 40 N are in equilibrium. Find the largest angle they
make with each other.
A.
B.
C.
D.
104.48°
105.58°
106.69°
107.96°
805. Two forces of 20 units and 30 units act at right angle. What is the magnitude of the
resultant force?
A.
B.
C.
D.
36
42
40
44
806. What is the magnitude of the resultant force of the two forces 200 N at 20° and 400
N at 144°?
A.
B.
C.
D.
332.5 N
323.5 N
313.5 N
233.5 N
807. A load of 100 lb is hung from the middle of a rope, which is stretched between two
rigid wells 30 ft. apart. Due to the load, the rope sags 4 feet in the middle. Determine the
tension in the rope.
A.
B.
C.
D.
165 lbs
173 lbs
194 lbs
149 lbs
808. A boat moving at 12 kph is crossing a river 500 m wide in which a current is flowing
at 4 kph. In what direction should the boat head if it is to reach a point on the other side
of the river directly opposite its starting point?
A. 19.47° downstream
B. 19.47° upstream
C. 18.43° downstream
D. 18.43° upstream
809. A 100 kg weight rest on 30 ° incline plane. Neglecting friction, how much pull must
one exert to bring the weight up the plane?
A.
B.
C.
D.
86.67 kg
100 kg
70.71 kg
50 kg
810. A block weighing 500 kN rest on a ramp inclined at 25° with the horizontal. The
force tending to move the block down the ramp is ______.
A.
B.
C.
D.
121 kN
265 kN
211 kN
450 kN
811. A 200 kg crate impends to slide down a ramp inclined at an angle of 19.29° with
the horizontal. What is the frictional resistance?
A.
B.
C.
D.
612.38 N
628.38 N
648.16 N
654.12 N
812. A man can exert a maximum pull of 1000 N but wishes to lift a new stone door for
his cave weighing 20,000 N. If he uses a lever, how much closer must the fulcrum be to
the stone than to his hand?
A.
B.
C.
D.
10 times nearer
20 times farther
10 times farther
20 times nearer
813. A beam rest on a fulcrum, 1.2 m from one end. A weight of 350 kg is suspended
from this end causing the beam to balance. If the weight of 350 kg is suspended on the
opposite end of the beam, it is necessary to suspend a 1000 kg weight on the first end
in order to effect an even balance. Find the length of the even balance.
A.
B.
C.
D.
2.48 m
3.24 m
3.43 m
4.21 m
814. A simply supported beam is 5 meters in length. It carries a uniformly distributed
load including its own weight of 300 N/m and a concentrated load of 100 N, 2 meters
from the left end. Find the reactions if reaction A is at the left end and reaction B at the
right end.
A.
B.
C.
D.
RA = 810 N & RB = 700 N
RA = 700 N & RB = 800 N
RA = 810 N & RB = 780 N
RA = 700 N & RB = 810 N
815. A beam of span “x” meters with uniform loading of “w” kilograms per meter is
supported at one end (A) and a distance of 2 m from the other end (B). Find the reaction
at support A.
A. __wx2__ kg
2(x-2)
B. __wx(x-4)__ kg
2(x-2)
C. __wx(x-2)_ kg
2(x-2)
D. __wx__ kg
2(x-2)
816. When one boy is sitting 1.2 m from the center of the see- saw, another boy must to
sit on the other side 1.5 m from the center to maintain an even balance. However, when
the first boy carries an additional weight of 14 kg and sit 1.8 m from the center, the
second boy must move 3 m from the center to balance. Neglecting the weight of the
see- saw, find the weight of the heavier boy.
A.
B.
C.
D.
30 kg
42 kg
34 kg
45 kg
817. A 40 kg block is resting on an inclined plane making an angle of 20° from the
horizontal. If the coefficient of the friction is 0.60, determine the force parallel to the
incline that must be applied to cause impending motion down to the plane.
A.
B.
C.
D.
82
77
87
72
818. A 600 N block in a surface inclined at 30°. Determine the horizontal force P
required to prevent the block from sliding down. Angle of friction between the block and
the inclined plane is 15°.
A.
B.
C.
D.
160.75 lb
198.55 lb
164.60 lb
190.45 lb
819. A 250 lb block is initially at rest on a flat surface that is inclined at 30°. If the
coefficient of kinetic fiction 0.30 and the coefficient of the static fiction is 0.40, find the
force required to start the block moving up the plane.
A.
B.
C.
D.
190 lbs
212 lbs
125 lbs
75 lbs
820. Assume the three force vectors intersect at the single point
F1 = 4i +2j +5k
F2 = -2i +7j -35k
F3 = 2i -j +6k
What is the magnitude of the resultant force vector, R?
A.
B.
C.
D.
14
12
13
15
821. Given the three dimensional vectors:
A = i(xy) + j(2xy) + k(3zx)
B = i(yz) + j(2zx) + k(3xy)
Determine the magnitude of the vector sum‌‌│A+B‌‌│ at coordinates (3,2,1)
A.
B.
C.
D.
32.92
29.92
27.20
24.73
822. At what angle does the force F= 6.23i-2.38j+4.92 kN makes with the x-axis?
A.
B.
C.
D.
39.2°
40.2 °
41.3°
42.2°
823. Assume the three force vectors intersect at a single point.
F1 = i +3j +4k
F2 = 2i +7j -k
F3 = -i +4j +2k
What is the magnitude of the reultant vector, R?
A.
B.
C.
D.
15
13.23
14.73
16.16
824. A certain cable is suspended between two supports at the same elevation and 500
ft apart, the load is 500 lbs per horizontal foot including the weight of the cable. The sag
of the cable is 30 ft. Calculate the total length of the cable.
A.
B.
C.
D.
503.76 ft.
502.76 ft.
504.76 ft.
501.76 ft.
825. A cable supported at two points of the same level has unit weight of 0.02 kg per
meter of horizontal distance. The allowed sag is 0.02 m and a maximum tension at the
lowest point of 1200 kg and a factor of safety of 2. Calculate the allowable spacing of
the poles assuming a parabolic cable.
A.
B.
C.
D.
64. 02 m
66.37 m
67.76 m
69.28 m
826. A cable carries a horizontal load of 20 kg/m. Neglecting its own weight, find the
maximum tension on the cable if the distance between the supports is 100 m and sag is
5m.
A.
B.
C.
D.
5099 kg
5059 kg
5199 kg
5215 kg
827. Determine the sag of the flexible wire cable weighing 60 N/m over two frictionless
pulleys 100 m apart and carrying one 10 kN weight at each end. Assume the weight of
the cable to be uniformly distributed horizontally. The cable extends 5 m beyond each
pulley to the point they are attached to the weights.
A.
B.
C.
D.
7.2 m
7.4 m
7.6 m
7.8 m
828. A copper cable is suspended between two supports on the same level, spaced 600
m apart. The cable hangs under the influence of its own weight only. Under these
conditions, it is desired to calculate the maximum sag (at the center of the span) when
the maximum stress in the material is 1000 kg/cm 2. The cross section of the cable is
1.77 sq. cm. Weight of cable = 1.6 kg/m. Use parabolic equation.
A. 42.26 m
B. 43.26 m
C. 44.26 m
D. 45.26 m
829. A cable weighing 0.4 kg/m and 800 m long is to be suspended with a sag of 80 m.
Determine the maximum tension.
A.
B.
C.
D.
414 kg
420 kg
416 kg
400 kg
830. A cable weighing 60 N/m is suspended between two supports on the same level at
300 m apart. The sag is 60 m. Compute the distance of the lowest point of the cable
from the ground level.
A.
B.
C.
D.
205.5 m
196.8 m
200.5 m
188.2 m
831. Find the location of the centroid of the composite area consisting of a 10- inch
square surrounded by a semi- circle. The centroid of a semicircle is located 4r/3π above
the base (diameter) of the semicircle of radius r.
A.
B.
C.
D.
6 inches from the bottom
6.2 inches from the bottom
6.4 inches from the bottom
7 inches from the bottom
832. A rectangle has a base of 3 cm and the height of 6 cm. What is its second moment
of area (in cm4) about an axis through the center of gravity and parallel to the base?
A. 64
B. 34
C. 44
D. 54
833. A circle has a diameter of 20 cm. Determine the moment of inertia of the circular
area relative to the axis perpendicular to the area through the center of the circle in cm 4.
A.
B.
C.
D.
14,280
15,708
17,279
19,007
834. Select the answer that represents the result of the vector cross product, i x k = ?
A. j
B. -i
C. –j
D. 0
835. Select the answers that represent the result of the vector cross product, 2k x 6k = ?
A. 12i
B. 0
C. 12j
D. 12k
836. A beam, securely fastened to a wall, is subjected to three dimensional loading,
how many components of reaction are possible?
A. 2
B. 3
C. 4
D. 6
837 A 12 ft ladder weighing 40 lbf is placed having a 30 degree angle on a wall. When a
180 lbf man reaches a point 8 ft from the lower end, the ladder is just about to slip.
Determine the friction coefficient between the ladder and the floor. The coefficient of
friction between the ladder and the wall is 0.20.
A. μ = 0.20
B. μ = 0.25
C. μ = 0.30
D. μ = 0.35
838. Determine the height of the centroid, ỹ, of the semicircle with radius r.
A. ỹ = 2/3r
B. ỹ = 2π/5r
C. ỹ = 4/ 3 πr
D. ỹ = 3/4r
839. A cube of side a is acted upon by a force F. Determine the magnitude of the
moment of F about the diagonal AB.
A. _1_ af
√8
B. _1_ af
√6
C. _1_ af
√4
D. _1_ af
√3
840. The boom has negligible weight, but has sufficient strength to support the 1000 lbf
load. Find the tension in the supporting A&B, θ = 60 deg.
A. 0 lbf
B. 433 lbf
C. 577.3 lbf
D. 866 lbf
841. Hinges A and B support a 10000 lbf bank vault door. Determine the horizontal
force in the hinge pin at A. The distance between 2 hinges is 4 ft the length of the door
is 7 ft and has a width of 4 ft.
A.
B.
C.
D.
0 lbf
2500 lbf
5000 lbf
7500 lbf
842.To identical spheres weighing 100 lbf each are placed. The line connecting two
centers of the spheres makes an angle of 30 deg. to the horizontal surface. All walls are
smooth and frictionless. Determine the reaction force at A.
A.
B.
C.
D.
33.3 lbf
66.7 lbf
75 lbf
100 lbf
843. If r has a magnitude of 10 m and acts in a direction defined by the unit vector u =
-0.707i + 0.707j, calculate the angle that r makes with the positive x-axis.
A. 45
B. 180
C. 135
D. 225
844. The moment of inertia of a section 2” wide x 2’ 0” high about an axis 1’ 0” above
the bottom edge of the section is :
A.
B.
C.
D.
1834 in4
384 in4
9214 in4
2304 in4
845. An isosceles triangle has a 10 cm base and a 10 cm altitude. Determine the
moment of inertia of the triangular area relative to a line parallel to the base and through
the upper vertex in cm4
A. 2750
B. 3025
C. 2500
D. 2273
846. What is the moment of inertia of a cylinder of radius 5 m and mass of 5 kg?
A.
B.
C.
D.
120 kg-m2
80 kg-m2
62.5 kg-m2
72.5 kg-m2
847. What is the inertia of a bowling ball with a mass of 0.5 kg of radius 15 cm rotating
at an angular speed of 10 rpm for 6 sec.?
A.
B.
C.
D.
0.001 kg-m2
0.002 kg-m2
0.005 kg-m2
0.0045 kg-m2
848. What is the length of the resultant of A + B + C if A = 3 ft, B = 4 ft and C = 5 ft?
A.
B.
C.
D.
3.64 ft
4.628 ft
7.071 ft
10.104 ft
849. What is the acceleration of a body that increases in velocity from 20 m/s to 40
m/s in 3 sec?
A.
B.
C.
D.
5.00 m/s2
6.67 m/s2
7.00 m/s2
8.00 m/s2
850. . How far does an automobile move while its speed increases uniformly from 15
kph to 45 kph in 20 sec?
A.
B.
C.
D.
185 m
167 m
200 m
172 m
851. A train passing point A at a speed of 72 kph accelerates at 0.75 m/s 2 for one
minute along a straight path then decelerates at 1.0 m/s 2. How far in km from point A
will it be 2 min after passing point A?
A.
B.
C.
D.
3.60 km
4.65 km
6.49 km
7.30 km
852. . From a speed of 75 kph, a car decelerates at the rate of 500 m/min 2 along a
straight path. How far in meters will it travel in 45 sec?
A.
B.
C.
D.
790.293 m
791.357 m
793.238 m
796.875 m
853. A train starting at initial velocity of 30 kph travels a distance of 21 km in 18 mins.
Determine the acceleration of the train in this instant.
A.
B.
C.
D.
0.0043 m/s2
0.0206 m/s2
0.0865 m/s2
0.3820 m/s2
854. An automobile moving at constant velocity of a 15 m/s passes a gasoline station. 2
sec. later, another automobile leaves the gasoline station and accelerates at a constant
rate of 2 m/s2. How soon will the second automobile overtake the first?
A.
B.
C.
D.
15.3 sec
16.8 sec
13.5 sec
18.6 sec
855. If a particular position is given by the expression x(t) = 3.4t 3 – 5.4t meters, what is
the acceleration of the particle after t = 5 seconds?
A.
B.
C.
D.
1.02 m/s2
102 m/s2
3.4 m/s2
18.1 m/s2
856. The distance of a body travels is a function of time and is given by x(t) = 18t +19t 2.
Find its velocity at t = 2.
A.
B.
C.
D.
36
54
24
20
857. Determine the velocity of progress with the given equation: D = 20t + __ 5_ when t
= 4 seconds.
t+1
A.
B.
C.
D.
18.6 m/s
19.8 m/s
21.2 m/s
22.4 m/s
858. A ball is drop from a building 100 m high. If the mass of the ball is 10 g. after what
time will the ball strike the Earth?
A.
B.
C.
D.
4.52 s
4.42 s
5.61 s
2.45 s
859. A ball is dropped from the roof of a building 40 m tall will hit the ground with the
velocity of:
A.
B.
C.
D.
50 m/s
28 m/s
19.8 m/s
30 m/s
860. Using a powerful air gun, a steel ball shot vertically upward with the velocity of 80
m/s, followed by another shot after 5 sec. Find the initial velocity of the second ball in
order to meet the first ball 150 m from the ground.
A.
B.
C.
D.
65.3 m/s
45.1 m/s
56.2 m/s
61.3 m/s
861. A ball is thrown vertically upward from the ground and a student gazing out of the
window sees it moving upward pass him at 5 m/s. The window is 10 m above the
ground. How high does the ball go above the ground?
A.
B.
C.
D.
15.25 m
14.87 m
9.97 m
11.30 m
862. A ball is dropped from a height 60 m above the ground. How long does it take to hit
the ground?
A.
B.
C.
D.
2.1 s
3.5 s
5.5 s
1.3 s
863. A baseball is thrown from a horizontal plane following a parabolic path wit an initial
velocity of 100 m/s at an angle of 30 deg. above the horizontal. How far from the
throwing pt. will the ball attain its original level?
A.
B.
C.
D.
890 m
883 m
880 m
875 m
864. A plane dropped a bomb at an elevation of 1000 m from the ground intended to hit
the target at an elevation of 200 m from the ground. If the plane is flying at velocity of
300 km/hr, at what distance from the target must the bomb be drop to hit the target.
Wind velocity and atmospheric pressure to be disregarded.
A.
B.
C.
D.
1024.2 m
1055.6 m
1075.5 m
1064.2 m
865. The muzzle velocity of a projectile is 1500 fps and the distance of the target is 10
miles. The angle of the elevation of the gun must be:
A. 21° 59’
B. 22° 41’
C. 24° 33’
D. 25° 18’
866. A shot is fired at an angle of 45° with the horizontal and a velocity of 300 fps.
Calculate, to the nearest value, the range of the projectile.
A.
B.
C.
D.
932 yards
1200 yards
3500 yards
4000 yards
867. A projectile leaves a velocity of 50 m/s at an angle of 30° with the horizontal. Find
the maximum height that it could reach.
A.
B.
C.
D.
31.86 m
31.28 m
30.63 m
30.12 m
868. A shot is fired with an angle of 45° with the horizontal with a velocity of 300 ft/s.
Find the maximum height and range that the projectile can cover, respectively.
A.
B.
C.
D.
800 ft, 1600 ft
923 ft, 3500 ft
700 ft, 2800 ft
1800 ft, 3000 ft
869. A ball is thrown from a tower 30 m high above the ground with the velocity of 300
m/s directed at 20° from the horizontal. How long will the ball hit the ground.
A.
B.
C.
D.
21.2 s
22.2 s
23.2 s
24.2 s
870. In the last 2 sec of NBA finals featuring Chicago Bulls VS Utah Jazz, with the latter
ahead by 2 pts. with the former at 94-92 count. Bulls Michael Jordan decides to shoot
from a certain pt. on the rainbow territory which counts 3 pts. if converted. During the
play, if Jordan releases the ball at 7 m from the basket and 2.15 m above the ground
and an inclination of 40° with the horizontal and assuming no block was made by the
opponents, at what velocity will the ball be given to cast the winning basket? The basket
is 10 ft from the ground.
A.
B.
C.
D.
8.57 m/s
8.86 m/s
9.03 m/s
9.27 m/s
871. A projectile is fired with the muzzle velocity of 300 m/s from a gun aimed upward at
an angle of 20° with the horizontal, from the top of the building 30 m high above a level
ground. With what velocity will it hit the ground in m/s?
A.
B.
C.
D.
298 m/s
299 m/s
300 m/s
301 m/s
872. A stone is thrown upward at an angle of 30° with the horizontal. It lands 60 m
measured horizontally and 2 m below measured vertically from its pt. of release.
Determine the initial velocity of the stone in m/s.
A.
B.
C.
D.
22.35 m/s
23.35 m/s
24.35 m/s
25.35 m/s
873. A wooden block having a weight of 50 N is placed at a distance of 1.5 m from the
center of a circular platform rotating at a speed of 2 rad/sec. Determine the minimum
coefficient of friction of the blocks so that it will not slide. Radius of the circular platform
is 3 m.
A.
B.
C.
D.
0.55
0.58
0.61
0.65
874. The flywheel of a puncher is to be brought to a complete stop at 8 sec from a
speed of 60 rev/min. Compute the no. of turns the flywheel will still make if the
deceleration is uniform.
A.
B.
C.
D.
5 turns
3 turns
4 turns
6 turns
875. What is the speed of synchronous earth’s satellite situated 4.5x 10 7 m from the
Earth?
A.
B.
C.
D.
11,070 kph
12,000 kph
11,777.4 kph
12,070.2 kph
876. A rotating wheel has a radius of 2 ft and 6 in. A pt on the rim of the wheel moves
30 ft in 2 sec. Find the angular velocity of the wheel.
A.
B.
C.
D.
2 rad/s
4 rad/s
5 rad/s
6 rad/s
877. A turbine started from rest to 180 rpm in 6 min at a constant acceleration. Find the
no. of revolutions that it makes within the elapsed time.
A.
B.
C.
D.
500
540
550
630
878. A flywheel is 15 cm in diameter accelerates uniformly from rest to 500 rpm in 20
sec. What is its angular acceleration?
A. 2.62 rad/s2
B. 3.45 rad/s2
C. 3.95 rad/s2
D. 4.42 rad/s2
879. A boy tide 80 g stone to a string which he rotated to form a circular motion with the
diameter 1000mm. Compute for the pull exerted on the string by the stone if it got loose
leaving at a velocity of 25 m/s.
A.
B.
C.
D.
120 N
100 N
150 N
135 N
880. A man keeps a 1 kg. toy airplane flying horizontally in a circle by holding on to a
1.5 m long string attached to its wing tip. The string is always in the plane of the circular
path. If the plane flies at 10 m/ s, find the tension in the string.
A.
B.
C.
D.
28 N
15 N
67 N
18 N
881. An auto mobile travels in a perfectly horizontal, unbanked circular track of radius R.
The coefficient of friction between the tires and track is 0.3. If the car’s velocity is 15
m/s, what is the smallest radius it may travel without skidding?
A.
B.
C.
D.
68.4 m
69.4 m
71.6 m
76.5 m
882. A highway curve has a super elevation of 7°. What is the radius of the curve such
that there will be no lateral pressure between the tires and the roadway at a speed of 40
mph?
A.
B.
C.
D.
265.71 m
438.34 m
345.34 m
330.78 m
883. Traffic travels at 65 miles /hr around a banked highway curve with the radius of
3000 ft. What banking angle is necessary such that friction will not be required to resist
the centrifugal force?
A.
B.
C.
D.
3.2°
2.5°
5.4°
18°
884. Determine the angle of the super elevation for a 200 m highway curve so that there
will be no side thrust at a speed of 90 kph.
A.
B.
C.
D.
19.17°
17.67°
18.32°
20.11°
885. The inclination of ascend of a road having a 8.25% grade is _______.
A.
B.
C.
D.
4.72°
4.27°
5.12°
1.86°
886. A cyclist on a circular track of radius r = 800 ft is traveling at 27 fps. His speed in
tangential direction increases at the rate of 3 fps 2. What is the cyclist’s total
acceleration?
A.
B.
C.
D.
2.8 fps2
3.1 fps2
3.8 fps2
4.2 fps2
887. A concrete highway curve with a radius of 500 ft is banked to give lateral pressure
equivalent to f = 0.15. For what coefficient of friction will skidding impend for a speed of
60 mph.
A.
B.
C.
D.
μ>0.360
μ<0.310
μ>0.310
μ<0.360
888. What force is necessary to accelerate a 30, 000 lbs railway electric car at the rate
of 1.25 ft/s2, if the force required to overcome frictional resistance is 400 lbs?
A.
B.
C.
D.
1565 lbs
1585 lbs
1595 lbs
1575 lbs
889. A car weighing 40 tons is switched to a 2% upgrade with a velocity of 30 mph. If
the train resistance is 10 lb/ton, how far up the grade will it go?
A.
B.
C.
D.
1124 ft on slope
2014 ft on slope
1204 ft on slope
1402 ft on slope
890. A car moving at 70 km/hr has a mass of 1700 kg. What force is necessary to
decelerate it at a rate of 40 cm/s2?
A.
B.
C.
D.
4250 N
0.68 N
680 N
42.5 N
891. An elevator weighing 2000 lb attains an upward velocity of 16 mps on 4 sec with
uniform acceleration. What is the tension in the supporting cables?
A.
B.
C.
D.
2150 lb
2495 lb
1950 lb
2250 lb
892. A body weighing 40 lbs starts from rest and slides down a plane at an angle of 30°
with the horizontal for which the coefficient of friction μ = 0.30. How far will it move
during the third second?
A.
B.
C.
D.
19.63 ft
19.33 ft
18.33 ft
19.99 ft
893. A pick up truck is traveling forward at 25 m/s. The bed is loaded by boxes whose
coefficient of friction with the bed is 0.4. What is the shortest time that the truck can be
brought to a stop such that the boxes do not shift?
A.
B.
C.
D.
2.35 sec
4.75 sec
5.45 sec
6.37 sec
894. How many degrees of freedom does a coin rolling on the ground have?
A.
B.
C.
D.
1
2
3
5
895. A car travels 100 miles to city A in 2 hrs, then travels 200 miles to city B in 3 hrs.
What is the average speed of the car for the trip?
A.
B.
C.
D.
45 mph
58.3 mph
60 mph
66.7 mph
896. The position of the particle moving along the x- axis is given by x(t) = t 2 – t + 8,
where x is in unit of ft and t is in sec. Find the velocity of the particle when t = 5 sec.
A.
B.
C.
D.
9 ft/s
10 ft/s
11 ft/s
12 ft/s
897. If a particle’s position is given by the expression x(t) = 3.4 t 3 – 5.4t meters, what is
the acceleration of the particle after t = 5 sec.?
A.
B.
C.
D.
1.02 m/s2
3.40 m/s2
18.1 m/s2
102 m/s2
898. A car starts from rest and moves with a constant acceleration of 6 m/s 2. What is
the speed after 4 sec?
A.
B.
C.
D.
18 m/s
24 m/s
35 m/s
54 m/s
899. A car starts from rest and has a constant acceleration of 3 ft/ s 2. What is the
average velocity during the first 10 sec of motion?
A.
B.
C.
D.
12 ft/s
13 ft/s
14 ft/s
15 ft/s
900. A truck increases its speed uniformly from 13 km/hr to 50 km/hr in 25 sec. What is
the acceleration of the truck?
A.
B.
C.
D.
0.216 m/s2
0.411 m/s2
0.622 m/s2
0.924 m/s2
901. A bicycle moves with a constant deceleration of – 2 ft/ s 2. If the initial velocity of the
bike is 10 ft/s, how far does it travel in 3 s?
A.
B.
C.
D.
19 ft
20 ft
21 ft
22 ft
902. A ball is dropped from a height of 55 m above ground. How long does it take to hit
the ground?
A.
B.
C.
D.
1.8 s
2.3 s
3.35 s
5.9 s
903. A man driving a car at 45 mph, suddenly sees an object in the road 60 ft ahead.
What constant deceleration is required to stop the car in this distance?
A.
B.
C.
D.
-42.6 ft/s2
-41.8 ft/s2
-39.8 ft/s2
-36.3 ft/s2
904. A ball is thrown vertically upward to an initial sped of 80 ft/s. How long will it take
for the ball to return to the thrower?
A.
B.
C.
D.
2.25 s
2.62 s
4.06 s
4.27 s
905. A projectile is launch upward from level ground at an angle of 60 degrees with the
horizontal. It has an initial velocity of 45 m/s. How long will it take before the projectile
hits the ground?
A.
B.
C.
D.
4.1 s
5.8 s
7.94 s
9.53 s
906. A man standing at a window watches a falling ball pass by the window in 0.3 sec.
From how high above the top of the window was the ball released?
A.
B.
C.
D.
8.18 m
9.63 m
11.8 m
28.8 m
907. a car starting from rest moves with the constant acceleration 10 miles/hr 2 for 1 hr
then decelerates at a constant -5 miles/hr2 until it comes to a stop. How far has it travel?
A.
B.
C.
D.
10 miles
15 miles
20 miles
25 miles
908. A train with a top sped of 50 mph cannot accelerate or decelerate faster than 4
ft/s2. What is the minimum distance between the two train stops in order for the train to
be able to reach its stop speed?
A.
B.
C.
D.
587 ft
1250 ft
1344 ft
2500 ft
909. A block with a mass of 115 slugs slides down a frictionless wedge with the slope of
40 deg. The wedge is moving horizontally in the opposite direction at a constant velocity
of 16 ft/s. what is the absolute speed of the block 2 sec after it is released from rest?
A.
B.
C.
D.
11.4 ft/s
30.9 ft/s
31.9 ft/s
41.4 ft/s
910. A stream flows at v s = 3 mph. At what angle, θ, upstream should a boat traveling at
vb = 8 mph be launched in order to reach the shore directly opposite to the launch pt.?
A.
B.
C.
D.
22 deg
24 deg
26 deg
28 deg
911. An object is launched at 45 deg. to the horizontal on level ground. What is the
range of the projectile if its initial velocity is 180 ft/s? Neglect air resistance.
A.
B.
C.
D.
719 ft.
1000 ft
1440 ft
2050 ft
912. A motorcycle moves at a constant speed of v = 40 ft/s around a curved road of
radius r = 300 ft. What is the magnitude in general direction of the motorcycle
acceleration?
A. 0
B. 2.63 ft/ s2. away from the center of curvature
C. 5.33 ft/ s2 away from the center of curvature
D. 5.33 ft/ s2 towards the center of curvature
913. A force of 5 lbs acts on a 32. 2 lbm body for 2 sec. If the body is initially at rest,
how far is it displace by the force?
A.
B.
C.
D.
2 ft
5 ft
10 ft
12 ft
914. A rope is used to tow an 800 kg car on a smooth, level road. The rope will break if
the tension exceeds 2000 N. What is the greatest acceleration that the car can reach
without breaking the rope?
A.
B.
C.
D.
1.2 m/s2
2.5 m/s2
3.8 m/s2
4.5 m/s2
915. A car of mass m = 1000 slugs accelerates at 10 sec from rest at a constant rate to
a speed of v = 20 ft/s. What is the resultant force on the car due to this acceleration?
A.
B.
C.
D.
1000 lbf
2000 lbf
3000 lbf
4000 lbf
916. a truck weighing 3 kips moves up a slope of 15 deg. What is the force generated
by the engine if the truck is accelerating at a rate of 9 ft/ s 2? Assume the coefficient of
friction is μ = 0.1.
A. 1700 lbf
B. 1900 lbf
C. 1920 lbf
D. 4140 lbf
917. What is the kinetic energy of a 900 lbm motorcycle traveling at 60 mph?
A.
B.
C.
D.
22,500 ft-lbf
52,300 ft- lbf
80,700 ft-lbf
108,000 ft-lbf
918. An automobile uses 100 hp to move at a uniform speed of 60 mph. What is the
thrust force provided by the engine?
A.
B.
C.
D.
530 lbf
625 lbf
1100 lbf
1800 lbf
919. A 130 lb. man standing on top of a building 120 ft above the ground. What is his
potential energy relative to the ground?
A. 2380 ft- lbf
B. 7200 ft- lbf
C. 9480 ft- lbf
D. 15600 ft- lbf
920. A 1000 kg car is traveling down a 25 deg. slope. At the instant that the speed is 13
m/s, the driver applies the brakes. What constant force, F, parallel to the road, must be
provided by the brakes if the car is to stop in 90 meters?
A.
B.
C.
D.
1290 N
2900 N
5080 N
8630 N
921. A stationary passenger car of a train is set into motion by the impact of a moving
locomotive. What is the impulse delivered to the car if it has a velocity of 38 ft/s
immediately after the collision? The weight of the car is 13 kips.
A.
B.
C.
D.
0.34 kips - sec
7.7 kips - sec
15.3 kips - sec
342 kips – sec
922. A steel ball weighing 200 lbs strikes a stationary wooden ball weighing 200 lbs. If
the steel ball has the velocity of 16.7 ft/s at impact, what is its velocity immediately after
impact? Assume the collision is perfectly elastic.
A.
B.
C.
D.
-16.7 ft/s
-8.35 ft/s
0
8.35 ft/s
923. A ball is dropped into a solid ball from initial height, h o. if the coefficient of
restitution, e, is 0.90, How high will the ball rebound?
A. 0.45 ho
B. 0.81 ho
C. 0.85 ho
D. 0.9 ho
924. A uniform beam of weight W is supported by a pin joint and the wire. What will be
the angular acceleration at the instant that the wire is cut?
A.
B.
C.
D.
g/L
3g/2L
2g/L
wg/L
925. What is the frequency of oscillation of a body if its mass, m, is 0.015 kg, and k is
0.5 N/m?
A.
B.
C.
D.
0.51 Hz
0.66 Hz
0.78 Hz
0.92 Hz
926. What is the period of an oscillating body whose mass, m, is 0.025 kg f the spring
constant, k, is 0.44 N/m?
A. 0.5 s
B. 1 s
C. 1.5 s
D. 2 s
927. What is the natural frequency of an oscillating body whose period of oscillation is
1.8 s?
A.
B.
C.
D.
1.8 rad/s
2.65 rad/s
3.49 rad/s
4.24 rad/s
928. A 1 storey frame is subjected to a sinusoidal forcing function q(t) = Q sin wt at the
transom. Find the frequency of q(t) , in Hz if the frame is in resonance with the force
where m = 300 lbm and lateral stiffness, k = 3 kips/ in.
A.
B.
C.
D.
2.57 Hz
2.92 Hz
3.58 Hz
9.90 Hz
929. What would be the diameter of the line shaft to transmit 10 hp if the shaft makes
150 rpm?
A. 9/16 in
C. 2 9/16 in
B. 3 9/16 in
D. 1 9/16 in
930. . Find the thickness of metal required in the hemi-spherical end of a cylindrical
vessel, 2 ft in diameter, subjected to an internal pressure of 500 psi. The material is mild
steel and tensile stress of 10000 psi is allowable.
A. 0.10 in
C. 0.3 in
B. 0.5 in
D. 0.7 in
931. Find the thickness of metal required in the hemi-spherical end of a cylindrical
vessel 750 mm in diameter, subjected to an internal pressure of 3 N/mm 2. The material
is mild steel and tensile stress of 70 N/mm2 is allowable.
A. 4 mm
C. 6 mm
B. 2 mm
D. 8 mm
932. What horsepower would be transmitted by a short shaft, 2 inches in diameter,
carrying but two pulleys too close to bearings if the shaft makes 300 rpm?
A. 60 hp
C. 63 hp
B. 75 hp
D. 70 hp
933. What would be the diameter of power transmitting shaft to transmit 150 KW at 500
rmp?
A. 78 mm
C. 93 mm
B. 81 mm
D. 85 mm
934. What power would a short shaft, 50 mm in diameter, transmit at 400 rpm?
A. 50KW
C. 55 KW
B. 60 KW
D. 65 KW
935. Find the torsional deflection for a solid steel shaft 4 inches in diameter and 48
inches long, subjected to twisting moment of 24 000 in-lb.
A. 0.122 deg
C. 0.23 deg
B. 0.052 deg
D. 0.43 deg
936 . Find the torsional deflection of a solid shaft 100 mm in diameter and 1300 mm
long, subjected to twisting moment of 3 x 10 6 N-mm. The torsional modulus of elasticity
is 80 000 N/mm2.
A. 0.122 deg
C. 0.234 deg
B. 0.285 deg
D. 0.543 deg
937. Find the diameter of steel line shaft to transmit 10 hp at 150 rpm with a torsional
deflection not to exceed 0.08 degree foot length.
A. 0.834 in
C. 1.23 in
B. 3.234 in
D. 2.35 in
938. Find the length in feet of 9/16 diameter rope required to fill a drum having the
following dimensions: B = 24in, D = 18 in, H = 30 in. (K = 0.741)
A. 1873 ft
C. 2874 ft
B. 2560 ft
D. 2645 ft
939. Find the bending stress and equivalent bending load due to the bending of 6x19
(fiber core) wire rope of ½ in diameter around a 24 in pitch diameter sheave.
A. 1456 lbs
C. 1983 lbs
B. 1590 lbs
D. 1763 lbs
940. Find the breaking load in pounds of a wrought iron chain crane if the diameter of
bar from which links are made is 2 inches.
A. 216 000 lbs
C. 316 000 lbs
B. 416 000 lbs
D. 516 000 lbs
941. The specific gravity of cast iron is 7.2. Find the weight of 5 cubic inches of cast
iron.
A. 1.1 lbs
C. 1.2 lbs
B. 1.3 lbs
D. 1.4 lbs
942. The weight of a cubic inch of gold is 0.697 lb. Find the specific gravity.
A. 13.45
C. 17.23
B. 15.34
D. 19.31
943. If the diameter of driving pulley is 15 in and its speed is 180 rpm. The diameter of
the driven pulley is 9 in. Find the speed of driven pulley.
A. 100 rpm
C. 200 rpm
B. 300 rpm
D. 400 rpm
944. If the diameter of driving pulley is 24 in and its speed is 100 rpm, and the driven
pulley is to rotate 600 rpm, find the diameter of driven pulley.
A. 1 in
C. 2 in
B. 3 in
D. 4 in
945. How many ½ in diameter set screw would be required to transmit 3 horsepower at
a shaft speed of 1000 rpm if the shaft diameter is 1 in?
A. 1
C. 2
B. 1.5
D. 2.5
946. How many 3/8 in diameter set screw would be required to transmit 3 horsepower at
a shaft speed of 1000 rpm if the shaft diameter is 1 in?
A. 1
C. 1.5
B. 2
D. 3
947. What is the working strength of a 1 inch bolt which is screwed up tightly in a
packed joint when the allowable working stress is 10 000 psi?
A. 3000 lbs
C. 3500 lbs
B. 4000 lbs
D. 4000 lbs
948.. A high alloy spring having squared and ground ends and has a total of 16bcoils
and modulus of elasticity in shear of 85 GPa. Compute the Whal factor. The spring
outside diameter is 9.66 cm and wire dismeter is 0.65 cm.
A. 1.058
B. 1.10
C. 1.185
D. 1.20
949 . A coiled spring with 5 cm of outside diameter is required to work under the load of
190 N. The wire diameter is 5 mm, the spring is having 6 active coils and the ends are
to be closed and ground. Determine the total number of coils. The modulus of rigidity is
80 GPa and the mean radius is to be 23 mm, with 7 mm pitch of the spring.
A. 6.5 coils
B. 7.5 coils
C. 8.5 coils
D. 9.5 coils
950. A lineshaft runs at 360 rpm. A 18 inches pulley on the same shaft is belt connected
to a 12 inches pulley on the counter shaft. From a 15 inches pulley on the countershaft,
motion is transmitted to the machine. Compute and checked the required diameter of
the pulley on the machine to give a spindle speed of 660 rpm.
A. 16 in
B. 12 ¼ in
C. 10 ½ in
D. 8 ½ in
951. A pulley 610 mm in diameter transmits 40 kw at 500 rpm. The arc of contact
between the belt and pulley is 144 degrees, the coefficient of friction between the belt
and pulley is 0.35 and the safe working stress of the belt is 2.1 MPa. Find the width of
the belt used if it is thickness is 6mm.
A. 250 mm
B. 300 mm
C. 340 mm
D. 430 mm
952.. A slurry pump is to be driven by a 50 Hp, 2400 rpm diesel engine and operating
under the moderate shock load with service factor of 1.20. The pump will operate at 800
rpm and using type B V –belt. The available small sheave diameter is 5.4 inches and
having a factor of 1.14. The arc of contact factor is 0.89 and the length of belt factor is
0.97. Find the no. of belt used.
A. 9
B. 10
C. 11
D. 12
953.. The main bearings of one cylinder steam engine are 152 mm diameter and 280
mm long and support a load of 4400 kg. The bearings are well ventilated and are heavy
in construction. The coefficient of friction in bearings is 0.017 and a crankshaft rotates at
450 rpm. Bearing diametral clearance is 0.152 mm. determine the unit loading and
friction loss per bearing.
A. 73.5 psi, 1.431 kw
B. 73.5 psi, 1.314 kw
C. 75.3 psi, 1.314 kw
D. 75.3 psi, 1.413 kw
954. A cast iron flywheel is rotated at a speed of 1200 rpm and having a mean rim
radius of 1 foot. If the weight of the rim is 30 lbs, what is the centrifugal force? Use
factor C =41.
A. 14,800 lbs
B. 7 mt
C. 14860 lbs
D. 14724 lbs
955. What pressure is required to punch a hole 2 inches diameter through a ¼ in steel
plate?
A. 10 tons
B. 20 tons
C. 30 tons
D. 40 tons
956. What is the working strength of a 4 inch bolt which is screwed up tightly in a
packed joint when the allowable working stress is 12,000 psi.
A. 82500 lbs
B. 95600 lbs
C. 93600 lbs
D. 95000 lbs
957. A journal bearing with a diameter of 2.25-in is subjected to a load of 1000lb while
rotating at 200 rpm. If the coefficient of friction is taken as 0.02 and L/D is 3.0, find
the total work of friction in ft-lb per min.
A. 15.19
C. 1958
B. 6.750
D. 2356
958. An 8-in nominal diameter journal bearing is design for 140 deg optimum when
bearing length is 9-in, speed is 1800 rpm, and total load is 20,000lb. Calculate the
frictional horsepower loss when this journal operates under the coefficient of friction
0.002.
A. 4.56 hp
C. 10.2 hp
B. 5.64 hp
D. 15.6 hp
959. The main bearing of a one cylinder steam engine are 152 mm diameter and 280
mm long support a load of 4400 kg. The bearings are well ventilated and are heavy
in construction. The coefficient of friction in bearing is 0.017 and crankshaft rotates
at 450 rpm. Bearing diametral clearance is 0.152 mm. Determine the unit loading
and friction loss per bearing.
A. 73.5 psi, 1.431 kw
C. 75.3 psi, 1.314 kw
B. 73.5 psi, 1.314 kw
D. 75.3, 1.413 kw
960. The load on helical spring is 1600-lb and the corresponding deflection is to be 4in. Rigidity modulus is 11 million psi and the maximum intensity of safe torsional
stress is 60,000 psi. Design the spring for the total number of turns if the wire is
circular in cross section with the diameter of 5/8-in and a center line radius of 1.5in.
The spring is squared and ground ends.
A. 19 coils
C. 21 coils
B. 20 coils
D. 22 coils
961. In problem no.1, determine the torsional shear stress of the spring.
A. 49,000 psi
C. 60,000 psi
B. 51,000 psi
D. 66,000 psi
962 A coiled spring with 1.75-in outside diameter is required to work under load of
140 lb. The diameter used is 0.192 in, spring is to have seven active coils, and the
ends are to be closed and ground. Determine the unit deflection when when under
the load. Assume modulus of rigidity equal to 12 million psi and mean radius to be
0.779 in.
A. 1in
C. 1.817 in
B. 1.225 in
D. 3.516 in
963. A helical spring having squared and ground ends has a total of 24 coils and
material modulus of elasticity in shear of 89 Gpa. The spring has an outside
diameter of 12 cm and a wire diameter of 0.65 cm. Compute the maximum deflection
that can be produced in the spring due to a load of 60 kg.
A. 870 mm
C. 999 mm
B. 954 mm
D. 1030 mm
964. Compute the maximum deflection of a 22 coils helical spring having a load of 120
kgs. The spring is squared and ground ends with the modulus of elasticity in shear of 80
Gpa, outside diameter of 8 cm and wire diameter of 8 mm.
A. 225 mm
C. 165 mm
B.. 245 mm
D. 214 mm
965. Compute the deflection of a 18 in coils helical spring having load of 100kgs. The
modulus of elasticity in shear of spring is 96.62 Gpa. Od of 9.256 cm and with the
diameter of 9.525 mm. The spring is squared and ground ends.
A. 9 cm
C. 11 mm
B. 101 mm
D. 14 mm
966. A double-ply leather belts transmits hp from a motor with a pulley 8-in in diameter,
running at 1700 rpm, to a 24-in diameter pulley. The difference in tension may be
taken as 20 lb per inch of belt width. Belt thickness is 0.2in. Calculate the width of
the belt.
A. use 3-in belt
C. use 5-in belt
B. use 4-in belt
D. use 6-in belt
967. In the design of a marble tiling machine, which components are a drive motor, Vbelt transmission to a horizontal shaft, at the end of which is mounted a circular
diamond blade 1 meter distance from the V-belt to the shaft pulley. If a 1m diameter
blade is used which requires a circular speed of 40 meters per second, and the drive
motor runs at 1700 rpm, find the speed ratio.
A. 2.23
C. 2.22
D. 2.32
D. 3.52
968. In, problem no.2, determine the center distance between sheaves, if the pitch
diameter on the small sheave is 152 mm and the larger sheave is 338 mm, and
using standard V-belt D-120 ( actual length is 3131.82 mm ).
A. 1178 mm
C. 1778 mm
C. 1871 mm
D. 1817 mm
969. A V-belt is to transmit 50 HP to a NH 3 compressor. The sheave is 203.2 mm in
diameter and turns at 1150 rpm, while the larger sheave turns at 400 rpm. The
service factor may be taken as 1.5 and the center distance is equal to the diameter
of the larger sheave. Determine the length of belt.
C. 67 in
C. 87 in
D. 77 in
D. 97 in
970. In problem no. 4, determine the no. of belts if the corrected HP per belt is 5.96.
C. use 10 belts
C. use 13 belts
D. use 11 belts
D. use 12 belts
971. Determine the length of belt needed for two flat belt pulleys having a diameters of
70 cm and 30 cm. The center distance is 400 cm and pulleys rotate in same
direction. Assume power transmitted is 10 hp at 200 rpm.
E. 958 cm
C. 589 cm
F. 859 cm
D. 895 cm
972. Determine the width of the belt of a 6 ply rubber belt required for ventilating fan
running at 150 rpm driven from 12 inch pulley on a 800 rpm. The center distance
between pulley is 12 ft and the rated belt tension is 78 lb/in width.
C. 12 in
C. 10 in
D. 6 in
D. 15 in
973 In the design of a marble tiling machine, which components are a drive motor, Vbelt transmission to a horizontal shaft, at the end of which is mounted a circular
diamond blade 1 meter distance from the V-belt to the shaft pulley. If a 1m diameter
blade is used which requires a circular speed of 40 meters per second, and the drive
motor runs at 1700 rpm, find the speed ratio.
A. 2.23
C. 2.22
E. 2.32
D. 3.52
974. Determine the length of belt needed for two flat belt pulleys having a diameters of
70 cm and 30 cm. The center distance is 400 cm and pulleys rotate in same
direction. Assume power transmitted is 10 hp at 200 rpm.
G. 958 cm
C. 589 cm
H. 859 cm
D. 895 cm
975. An idler of 24 teeth is introduced between the 12- tooth pinion with a turning speed
of 800 rpm driving a final 60 tooth gear. What would be the final speed of the driven
gear and its direction relative to the driving gear rotation.
G. 400 rpm and opposite direction
H. 160 rpm and opposite direction
I. 400 rpm and same direction
J. 160 rpm and same direction
976. A spur pinion rotates at 600 rpm and transmit 25 kw to a mating gear. The pitch
diameter of pinion is 100 mm, and the pressure angle is 20. Determine the tangential
load in Newton.
A. 7960
C. 6790
B. 3980
D. 3098
977. A mild-steel-spur gear ( 15-tooth, 20 deg, full depth involute ) pinion , rotating at
750 rpm, is to transmit 30 hp to a mild steel gear rotating at 200 rpm. Determine the
number of teeth in gear.
A. 46
C. 56
B. 50
D. 76
978. In problem no.3, determine the required shaft center to center distance if the
diametral pitch is taken as 5.
A. 3.1 in
C. 5.1 in
B. 4.1 in
D. 7.1 in
979. Design a pair of spur gears for motor drive as follows: motor delivers 50 hp at
1200 rpm; gear reduction , 6 to 1. Assume the pinion pitch diameter to be 5-in;
number of teeth, 15; diametral pitch, 3. Indicate the pitch diameter, number of teeth
and speed of the mating gear.
A. 30-in, 90 teeth, 200rpm
C. 90-in, 30-teeth, 200 rpm
B. 20-in, 80-teeth, 150 rpm
D. 90-in, 30-teeth, 150 rpm
980. In problem no.5, what is the velocity of the driven gear in fpm?
A. 1570
B. 200
C. 1200
D. 2890
981. In problem no.6, find the tooth load.
A.1050
C. 2050
B. 1570
D. 2890
982. A pinion and gear set is carefully cut in a 20 full depth design. The 16-tooth steel
pinion and 72-tooth cast iron gear transmit 50 kw power when the pinion turns 1400
rpm. The face width is 90 mm and the module is 8. Find the center distance between
pinion and gear.
K. 225 mm
C. 987 mm
L. 275 mm
D. 352 mm
983. In problem no 8, find the tangential load on the teeth in Newtons.
D. 1180 N
C. 5328 N
E. 2680 N
D. 8525 N
984. In problem no 8, determine the tangential velocity.
C. 560 m/s
C. 9.38 m/s
D. 650 m/s
D. 3.28 m/s
985. A spur pinion rotates at 1800 rpm and transmit to a mating gear 50 HP. The pitch
diameter is 6 in and the pressure angle is 14.5. Determine the tangential load.
C. 283 lbs
C. 583 lbs
D. 265 lbs
D. 485 lbs
986. Compute the circular thickness of the pitch circle of a 14.5 degree full depth tooth
of 15 diametral pitch. Material used in aluminum bronze.
C. 0.1047
C. 0.0147
D. 0.1074
D. 0.0174
987. Find the tooth thickness on the tooth circle of a 20 degree full depth involute tooth
having a circular pitch of 1.23 and whole depth of 0.75 inch.
A. 10 mm
C. 14 mm
B. 12 mm
D. 16 mm
988. A spur pinion rotates at 1800 rpm transmit 900 kg of tangential load. Determine the
power transmitted to the gear if the pitch diameter of pinion is 4 inches.
A 95 HP
C. 113 HP
B. 100 HP
D. 220 HP
989. A 72 tooth pinion with a turning speed of 450 rpm drives 180 tooth of 14.5 degree
involute angle. What would be the speed of the driven gear?
C. 120 rpm
C. 160 rpm
D. 140 rpm
D. 180 rpm
990. Compute the thickness of a gear having a diametral pitch of 12. The gear tooth
pressure angle is 14.5 degree full depth tooth.
C. 0.0309
C. 0.0507 in
D. 0.1309 in
D. 0.1906 in
991. Find the tooth thickness of a 20 degree full depth involute tooth having a diametral
pitch of 4.
C. 9.97 mm
C. 7.99 mm
D. 3.93 mm
D. 3.97 mm
992. A gear set having a gear ratio of 3 is to be use at a center distance of 16 inches. If
the gear has 80 teeth, what must be the circular pitch?
C. 23.6 mm
C. 29.3 mm
D. 23.9 mm
D. 32.9 mm
993.A pair of gear and pinion having a ratio of 5 with a circular pitch of 0.05 inch,
compute the center distance, in inches, between the gear of 70 tooth and pinion of 14
tooth.
C. 6.18
C. 7.05
D. 6.70
D. 8.61
994. Compute the circular pitch, in inches, of a pair of gear and pinion with ratio of 5.
The center distance indicated is at 18. The gear has 90 teeth and the pinion has 18
teeth.
C. 1.047
C. 0.074
D. 1.740
D. 1.470
995. Determine the center distance, in inches, of a 110 teeth gear mesh with pinion
having a circular pitch of 0.905. Gear/pinion ratio is 5.
15
C. 30
19
D. 37
996. A pair of gear /pinion of 45 teeth and 15 teeth, respectively, with center distance of
40 cm, addendum at 0.725/p and dedendum at 1/p. The gear pressure angle is 20
degree. Compute for the diametral pitch in teeth per cm.
D. 0.60
C. 0.90
E. 0.70
D. 0.75
F.
997. A gear set having a gear ratio of 3 is to be used at a center distance of 254 mm. If
the gear has teeth, what must be the circular pitch?
C. 18.95 mm
C. 25.95 mm
D. 19.95 mm
D. 95.95 mm
998. Find the tooth thickness on the tooth circle of a 20 degree full depth involute tooth
having a circular pitch of 26.6 mm and whole depth of 16 mm.
B. 0.52360 in
C. 0.71681 in
B. 0.41361 in
D. 0.89713 in
999. Compute the circular pitch of a gear having a 5 inches pitch diameter and 40 teeth.
B. 10 mm
C. 12 mm
B. 11 mm
D. 15 mm
1000. A pinion and gear is carefully cut in a 20 degree full depth design. The 16 tooth
steel pinion and 72 tooth cast iron gear transmit 50 kw power when the pinion turns
1400 rpm. The face width is 90 mm and modulus of 8. Find the center distance, in mm,
between pinion and gear.
B. 352
C. 280
B. 380
D. 368