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Machine-Design-Questions
Mechanical Engineering (University of the Philippines System)
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MACHINE DESIGN REVIEW QUESTIONS
PREPARED BY: Engr.
Jessie Ledesma
MACHINE DESIGN REVIEW QUESTIONS
STRENGTH OF MATERIALS
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A steel rod on bridge must be made to withstand a pull of 5,000 lbs. Find the diameter of the rod assuming a factor of
safety of 5 and ultimate stress of 64,000 psi. (ME Bd. Apr. 96)
A. 0.75 in
C. 0.84 in
B. 0.71 in
D. 0.79 in
If the ultimate shear strength of a steel plate is 42,000psi, what force is necessary to punch a 0.75 diameter hole in a
0.625 in thick plate? (ME Bd. Apr. 96)
A. 63,000 lbs
C. 61,800 lbs
B. 68,080 lbs
D. 66,800 lbs
What force P is required to punch a ½ in. hole on a 3/8 in. thick plate if the ultimate shear strength on the plate is
42,000psi? (ME Bd. Oct 95)
A. 24,940 lbs
C. 24,620 lbs
B. 24,960 lbs
D. 24,740 lbs
A 2.5 in. diameter by 2 in. long journal bearing is carrying a 5,500 lb load at 3600rpm using SAE 40 lube at 200oF
through a single hole at 25 psi. Compute the bearing pressure. (ME Bd. Oct. 95)
A. 1100 psi
C. 1000 psi
B. 900 psi
D. 950 psi
A journal bearing with a diameter of 76.2 mm is subjected to a load of 4,900 N while rotating at 200rpm. If its
coefficient of friction is 0.02 and the L/D = 2.5, find its projected area in mm2. (ME Bd. Apr. 96)
A. 12,090
C. 13,050
B. 14,165
D. 14,516
What modulus of elasticity in tension is required to obtain a unit deformation of 0.00105 m/m from a load producing a
unit tensile stress of 44,000 psi? (ME Bd. Oct. 95)
A. 42.300 x106 psi
C. 43.101 x106 psi
6
B. 41.202 x10 psi
D. 41.905 x106 psi
The shaft whose torque varies from 2,000 to 6,000 in-lb has 1½ inches in diameter and 60,000 psi yield strength.
Compute for the shaft mean average stress. (ME Bd. Apr 97)
A. 6036 psi
C. 5162 psi
B. 6810 psi
D. 5550 psi
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 shear strength for shear is 50ksi and use 2 factor of safety. (ME Bd. Apr. 97)
A. 5.8
C. 5
B. 3.7
D. 6.2
Determine the minimum mean diameter of a taper pin for use to fix a lever to a shaft, if it is to transmit a maximum
torque of 700 in-lbs. The shafts diameter is 2 inches and the material allowable stress is 15,000 psi. (ME Bd. Oct. 97)
A. 7.00 mm
C. 5.2 mm
B. 7.2 mm
D. 6.2 mm
A link has a load factor of 0.8, the surface factor 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. (ME Bd. Oct. 97)
A. 8150 psi
C. 9333 psi
B. 10920 psi
D. 7260 psi
The diameter of a brass rod is 6 mm. What force will it 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
A steel tie rod is to withstand a pull of 3,000 lbs. Find the diameter of the rod assuming a yield stress of 48,000 psi
and a factor of safety of 5.
A. 16 mm
C. 25 mm
B. 20 mm
D. 63 mm
The ultimate shear strength of a steel plate is 42,000 psi. Determine the diameter of a hole to punch it if the force
applied is 30 tons in a ¾ inch thick plate.
A. 0.10 in
C. 0.60 in
B. 0.20 in
D. 0.75 in
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
A 2 inch diameter by 3 inch long journal bearing is to carry a load of 3,000lb. Compute the bearing pressure.
A. 2000 psi
C. 1000 psi
B. 1500 psi
D. 500 psi
A journal bearing with diameter of 50.8 mm is subjected to a load of 5,000N while rotating 160 rpm. Find the length
of bearing if L/D = 2.5.
A. 10 in
C. 7 in
B. 8 in
D. 5 in
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 x106 psi
C. 15.75 x106 psi
6
B. 14.75 x10 psi
D. 17.24 x106 psi
The shaft whose torque varies from 3,000 to 8000 lb-in has 2½ inches in diameter. Compute the shaft mean stress.
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MACHINE DESIGN REVIEW QUESTIONS
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PREPARED BY: Engr.
Jessie Ledesma
A. 1120.2 psi
C. 1792.7 psi
B. 1350.4 psi
D. 2010.8 psi
How many ½ inch holes can be punch in one motion in a steel plate 3/16 inch thick 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
The diameter of a steel rod is 76.2 mm. determine the elongation of the rod per meter length. The force applied is
8,000 kN.
A. 8.48 mm
C. 12.85 mm
B. 9.35 mm
D. 15.65 mm
A reactor weighing 1,000 metric ton is placed on a 10 in2 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
A spherical tank is supported by four steel pipes each having an outside diameter of 400 mm and an inside diameter of
375 mm. If the allowable stress for the pipe is 104 MPa, what maximum weight of tank, in kN, can be supported?
A. 3330 kN
C. 5230 kN
B. 4320 kN
D. 6334 kN
A cylindrical strut, ½ meter in height and 10 cm diameter, is loaded axially with 1,000 kg. Calculate the compressive
stress in kg/cm2.
A. 19.432
C. 16.576
B. 17.032
D. 12.732
A tank with its contents weighs 5,000 kg. It will be supported with four concrete posts equally spaced and with outer
edges flushed with the perimeter of the tank. The compressive strength of the concrete post is 1,000 psi and the 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
Determine the diameter of a steel rod that will carry a tensile load of 50,000 kg at a stress of 1,400 kg/cm2.
A. 4.785 cm
C. 8.745 cm
B. 6.743 cm
D. 9.750 cm
A steel Wire 20 feet long, hanging vertically, supports a load of 500 lbs. Neglecting the weight of the wire, determine
the required diameter if the stress is not to exceed 20,000 psi and the total elongation is not to exceed 0.13 inch.
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
a copper rolled wire 10 meters long and 1.5 mm in diameter when supporting a weight of 35.7 kg, elongates 1.86 cm.
Compute the modulus of elasticity of this wire in kg/cm2.
A. 1,086,132
C. 2,860,345
B. 1,975,231
D. 2,976,317
Determine the maximum thickness of metal plate in which a 7.5 centimeter diameter hole can be punched, if the plate
has an ultimate shearing strength of 4245 kg/cm2 and the punch can be exert a maximum force of 200 metric tons.
A. 8 cm
C. 4 cm
B. 6 cm
D. 2 cm
A single bolt is used to lap join two steel bars together. Tensile force on the bar 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
what horsepower can be transmitted by a ½ inch 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
A cantilever beam 3 meters long by 30 cm depth by 10 cm breadth has a single load 45 kg at the unsupported end.
Determine the maximum flexural stress.
A. 9 kg/cm2
C. 15 kg/cm2
2
B. 2 kg/cm
D. 20 kg/cm2
SHAFTS
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2.
3.
4.
What power would a spindle 55 mm in diameter transmit at 480 rpm. Stress allowed doe short shaft is 59 N/mm2. (ME
Bd. Apr. 97)
A. 42.12 kW
C. 96.88 kW
B. 50.61 kW
D. 39.21 kW
Determine the torques received by the motor shaft running at 4,250 rpm, transmitting 11 HP, through a 10 in diameter,
20o involute gear. The shaft is supported by ball bearings at both ends and the gear is fixed at the middle of the 8 in
shaft length. (ME Bd. Apr 97).
A. 163 in-lb
C. 132 in-lb
B. 167 in-lb
D. 136 in-lb
Compute the maximum unit shear in a 3 inch diameter shafting that transmits 24,000 in-lb of torque at 99rpm. (ME
Bd. Apr. 97)
A. 4530 psi
C. 3860 psi
B. 4250 psi
D. 4930 psi
Compute the lineshaft diameter to transmit 12 HP at 180 rpm with torsional deflection of 0.08 degree per foot of
length. (ME Bd. Oct. 96)
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MACHINE DESIGN REVIEW QUESTIONS
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PREPARED BY: Engr.
Jessie Ledesma
A. 3 in
C. 2.35 in
B. 5cm
D. 62 mm
Compute the nominal shear stress at the surface in MPs 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. 232
B. 312
D. 380
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 Mps in N-m. (ME Bd. Oct. 95)
A. 4500
C. 4300
B. 4100
D. 4150
Design the size of solid steel shaft to be used for a 500 HP, 250 rpm application if the allowable torsional deflection is
1o and the allowable stress is 10,000 psi and the modulus of rigidity is 13 x 106 psi. (ME Bd. Oct. 95)
A. 5 in diameter
C. 4 7/8 in diameter
B. 4 5/8 in diameter
D. 4 ¾ in diameter
A 2 in solid shaft is driven by a 36 in gear and transmit power at 120 rpm. If allowable shearing stress is 12 ksi, what
horsepower can be transmitted? (ME Bd. Oct. 95)
A. 29.89
C. 38.89
B. 35.89
D. 34.89
A short 61 mm shaft transmits 120 HP. Compute the linear speed of a pulley 55 cm mounted on the shaft. (ME Bd.
Oct. 95)
A. 1796 fpm
C. 1856 fpm
B. 1766 fpm
D. 2106 fpm
A hollow shaft has an inner diameter of 0.035 m and an outside diameter of 0.06 m. Determine the polar moment of
inertia of the hollow shaft. (ME Bd. Oct. 95)
A. 1.512 x 10-6 m4
C. 1.152 x 10-6 m4
-6
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B. 1.215 x 10 m
D. 1.125 x 10-6 m4
Compute the speed of the gear mounted on a 52.5 mm diameter shaft receiving power froma driving motor with 250
HP. (ME Bd. Apr. 95)
A. 2182 rpm
C. 2265 rpm
B. 2071 rpm
D. 2341 rpm
A 3 in diameter short shaft carrying two pulleys close to the bearings transmits how much horsepower if the shaft
makes 280 rpm? (ME Bd. Apr. 95)
A. 199 HP
C. 200 HP
B. 198 HP
D. 210 HP
Determine the toque 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
Determine the diameter of the shaft receiving power of 200kW, 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
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
Compute the shaft nominal shear stress is the diameter is 76.2 mm, transmits 300 kW at 1200 rpm.
A. 45.2 MPa
C. 32.4 MPa
B. 36.7 MPa
D. 27.5 MPa
Compute the lineshaft 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
A hollow shaft has an inner diameter of 2 inches and an outer diameter of 2.5 inches. 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
A 2 inch solid shaft transmits 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
Compute the power transmitted by a 63.5 mm diameter short shaft rotating at 300 rpm.
A. 92kW
C. 115 kW
B. 97 kW
D. 123 kW
Compute the speed of the pulley mounted on a 50.8 mm diameter shaft receiving power from a driving motor
transmitting at 112 kW.
A. 1501 rpm
C. 1750 rpm
B. 1690 rpm
D. 1790 rpm
A 3 inches diameter short shaft transmits how much horsepower if it rotates at 380 rpm.
A. 270
C. 230
B. 250
D. 210
A solid shaft is to be used to transmit 50 kW at 1800 rpm. If the shaft design stress is not to exceed 30 N/mm2,
determine the diameter of the solid shaft.
A. 35.58 mm
C. 42.35 mm
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MACHINE DESIGN REVIEW QUESTIONS
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B. 39.35 mm
D. 45.20 mm
24. A motor delivers 50 HP at 120 rpm to a shafting 1 ½ inches diameter and 3 feet long. Compute the total angle of twist
in the shaft. Assume G = 12 x 106 psi.
A. 5.75o
C. 7.95o
o
B. 6.45
D. 9.08o
25. A lineshaft 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
26. The shaft of a heavy duty tractor transmits 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
27. 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. Comsider that the torsional deflection will no exceed 0.08 ft per length.
A. 100
C. 120
B. 110
D. 150
28. 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
KEYS & SPLINES
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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 SYS = 0.5 SY. (ME Bd. Oct. 97)
A. 39.12 ksi
C. 279.20 ksi
B. 42.13 ksi
D. 47.12 ksi
A rectangular key was used in a pulley connected 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/mm2 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. (ME Bd. Apr 92)
A. 171.8 mm
C. 187.5 mm
B. 175.8 mm
D. 157.8 mm
E 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. (ME Bd. Oct. 97)
A. 39.12 mm
C. 52.22 mm
B. 4.82 cm
D. 4.32 cm
A rectangular key was used in a gear connected to a lineshaft with a power of 120 kW at a speed of 660 rpm. If the
shearing stress of the shaft is 40 N/mm2 and the key is 22 N/mm2. Determine the length of the rectangular key if the
width is one forth that of the shaft diameter.
A. 172.7 mm
C. 195.6 mm
B. 185.4 mm
D. 201.3 mm
A 63.5 mm shaft having a yield point of 50 ksi with a ¾ inch width key. Compute the length of key in order to
transmit the torque of shaft. The shearing stress of the 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
A pulley delivers torque of 930 N-m through a shaft of 50.8 mm diameter. The width of the key used is 1 cm. The
shaft and the key are made of the same material. The allowable shearing 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
A pulley fastened by a rectangular key to a line shaft 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 one-fourth that of
the shaft diameter.
A. 45.2 mm
C. 55.6 mm
B. 50.9 mm
D. 60.4 mm
COUPLING
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3.
A flange bolt coupling has ten 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. (ME Bd. Oct. 97)
A. 59.95 kN-m
C. 46.15 kN-m
B. 52.60 kN-m
D. 43.80 kN-m
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 distributed. (ME Bd. Oct. 90)
A. 8.5 N/mm2
C. 6.5 N/mm2
2
B. 5.8 N/mm
D. 7.5 N/mm2
A flange 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
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MACHINE DESIGN REVIEW QUESTIONS
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5.
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PREPARED BY: Engr.
Jessie Ledesma
A flange coupling has a bolt circle diameter of 152.4 mm and connects two 50.8 mm solid shafts. Determine the
number of 16 mm bolts required if the torsional stress of the shaft is not to exceed 26 MPa and shearing stress on the
bolt is 22 MPa.
A. 8 bolts
C. 4 bolts
B. 6 bolts
D. 2 bolts
Two short shafts of identical diameter transmitting 50 HP at 600 rpm are connected by a flange coupling having 4
bolts with a 90 mm diameter bolt circle. The design shearing stress of the bolts is 12 N/mm2 and the design
compressive stress of the flange is 15 N/mm2. Determine the thickness of the flange.
A. 20.50 mm
C. 12.50 mm
B. 16.50 mm
D. 11.54 mm
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
FLYWHEEL
1.
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. (ME Bd. Oct. 95)
A. 14,800 lbs
C. 14,860 lbs
B. 7 mt
D. 17,724 lbs
2. What pressure is required to punch a hole 2 inches in diameter through a ¼ inch steel plate> (ME Bd. Apr. 95)
A. 10 tons
C. 30 tons
B. 20 tons
D. 40 tons
3. A flywheel for a punching press must be capable of furnishing 3400 N-m of energy during the 25% revolution while
the hole is being punched. The flywheel’s maximum speed is 200 rpm and the speed decrease 8.7% during the load
stroke. The mean radius of the rim is 1016 mm and contributes 90% of the energy requirements. Approximate total
weight of the flywheel to be 1.20 that of the rim. Compute the total weight of the flywheel. (ME Bd. Oct. 94)
A. 955 N
C. 935 N
B. 925 N
D. 796 N
4. A shearing machine requires 150 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 and weighs 0.018 kg/cm3.
the width of the rim is 30 cm. If the hub and arms of the flywheel account for 15% of its total weight, find the
thickness of the rim.
A. 1 cm
C. 4 cm
B. 5 cm
D. 3 cm
5. A flywheel weighing 910 kg has a radius of gyration of 1524 mm. The shaft journals are 304.8 mm in diameter and
have a coefficient of friction of 0.06. after the wheel reaches 120 rpm, the driving force is withdrawn and the wheel
slows to 60 rpm. How much energy thus the wheel loss? (ME Bd. Oct. 92)
A. 125 kN-m
C. 130 kN-m
B. 140 kN-m
D. 150kN-m
6. A cast iron flywheel has a mass of 90 kgs rotating at a speed of 1200 rpm and having a mean diameter of 75 cm. What
is the centrifugal force of the wheel?
A. 612 kN
C. 564 kN
B. 599 kN
D. 533 kN
7. 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
8. What pressure is required to punch a hole 1 in diameter through a ½ in thick plate?
A. 35,000 lbs
C. 80,000 lbs
B. 45,000 lbs
D. 90,000 lbs
9. A flywheel maximum speed is 240 rpm and decreases 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 arm 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
10. A shearing machine requires 1400 kg-m of energy to sheer steel sheet. The maximum speed is at 4 rev/sec and slowed
to 2.8 rev/sec during shearing process. The flywheel has a mean diameter is 100 cm and weighs 0.02 kg/cm3. The
width of the rim is 35 cm. If the hub and arms of the wheel contributes 10% of the total weight, determine the
thickness of the rim.
A. 1.4 cm
C. 2.1 cm
B. 1.7 cm
D. 2.5 cm
11. A flywheel weighing 1000 kg has a radius of gyration of 1200mm. 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
12. 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 is 30 cm and the weight of the cast iron flywheel is 7210 kg/m3. Assuming that the arms and hub
account 10% of the rim weight concentrated at the mean diameter, find the thickness of the rim.
A. 8.16 cm
C. 10.4 cm
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MACHINE DESIGN REVIEW QUESTIONS
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B. 9.12 cm
D. 11.5 cm
13. 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
14. What pressure is required to punch a hole 3 inches in diameter through a ½ inch steel plate?
A. 100 tons
C. 120 tons
B. 110 tons
D. 130 tons
15. A shearing machine requires 100 kg-m of energy to shear a steel sheet, and has 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
PRESSURE VESSEL
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14.
Determine the bursting steam pressure of a steel shell with diameter of 10 inches and made of ¼ inch thick steel plate.
The joint efficiency is at 70 % and the tensile strength is 60 ksi. (ME Bd. Oct. 97)
A. 4200 psi
C. 42.8 ksi
B. 10.5 ksi
D. 8500 ksi
Determine the safe wall thickness of a 30 inch steel tank with internal pressure of 7.82 MPa. The yield stress of the
material is at 275.48 MPa. The factor of safety to use is 2.0. (ME Bd. Oct. 97)
A. ¾ inch
C. 21.6 mm
B. 23.6 cm
D. 5/8 inch
A cylindrical tank with 10 inches inside diameter contains oxygen gas at 2500 psi. Calculate the required wall
thickness in (mm) under stress of 28,000 psi.
A. 11.34 mm
C. 12.44 mm
B. 10.24 mm
D. 10.54 mm
Determine the thickness of a steel plate air receiver with 30 inches diameter and the pressure load of 120 psi, design
stress of 8000 psi. (ME Bd. Oct. 95)
A. ¼ in
C. 3/8 in
B. 5/8 in
D. ½ in
A steel cylindrical air receiver with 5 feet diameter and pressure load of 180 psi, design stress of 9500 psi maximum.
The pressure vessel is to be provided with 1 ½ in diameter drain valve installed at the bottom of the vessel and safety
pressure relief valve installed either at the top most or at the side with pop=out rating of 200 psi. Assume a 100% weld
joint efficiency
A. 1154 psi
C. 1354 psi
B. 1454 psi
D. 1254 psi
The work cylinder of a hydraulic system is acted by a hydraulic pressure of 370 psi while the maximum load of the
piston is 5500 lbs. If the allowable tensile stress is 2000 psi, what is the required wall thickness of the cylinder?
A. 0.402 in
C. 0.240 in
B. 0.488 in
D. 0.284 in
Determine the wall thickness of a 60 inches 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 in
B. 3.5 in
D. 95 mm
A cylindrical tank with 10 inches inside diameter contains a gas of 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
Determine the thickness of a steel air receiver with 24 inches inside 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
Determine the bursting pressure of a steel shell with diameter of 20 inches and made of ¼ inch thick plate. The joint
efficiency is 70% and tensile stress is 50 ksi.
A. 1700 psi
C. 6000 psi
B. 3 ksi
D. 1.75 ksi
The cylinder of an air compressor is acted by a pressure of 350 psi while the maximum load of the piston is 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
A cylindrical air receiver is used to store air ata 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. 12.50 mm
C. 9.50 mm
B. 10.50 mm
D. 7.50 mm
A vertical cylindrical water tank 20 m diameter and 30 m high is to be design for an allowable stress of 100 MPa.
Determine the plate thickness required at the bottom of the tank.
A. 10.50 mm
C. 25.40 mm
B. 15.25 mm
D. 29.43 mm
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.
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A. 11 mm
C. 15 mm
B. 14 mm
D. 17 mm
15. 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. 23.35 mm
16. What is the bursting pressure of a steel shell with diameter of 3 ft and made of 3/8 inch 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
SPRINGS
1.
2.
3.
4.
5.
6.
7.
8.
A three extension coil springs are hooked in a series that supports a single weight of 100 kgs. The first spring is rate at
0.400 kg/mm and the other two lower is rated at 0.64 kg/mm. Compute the total deflection. (ME Bd. Oct 97)
A. 563 mm
C. 156 mm
B. 268 mm
D. 250 mm
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. (ME Bd. Oct 97)
A. 140.7 mm
C. 15.17 mm
B. 112.7 mm
D. 126.7 mm
Compute the deflection of a 18 coils helical spring having a load of 100 kg. The modulus of elasticity in shear of the
spring is 96.62 GPa. OD of 9.256 cm and with diameter of 9.525 mm. The spring is squared and ground ends. (ME Bd.
Oct. 97)
A. 9 mm
C. 11 mm
B. 101 mm
D. 14 mm
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 9.66cm and wire diameter of 0.65cm. (ME Bd. Oct.
96)
A. 1.058
C. 1.185
B. 1.10
D. 1.20
A helical spring having squared and ground ends has a total of 18 coils and its material has a modulus of elasticity in
shear of 78.91 GPa. If the spring has an outside diameter of 10.42 com and a wire diameter of 0.625cm, compute the
maximum deflection that can be produced in the spring due to a load of 50 kgs. (ME Bd. Oct 95)
A. 302 mm
C. 490 mm
B. 342 mm
D. 322 mm
A coiled spring with 5 cm outside diameter is required to work under the load of 190 N. The wire diameter is 5mm,
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 of rigidity is 80 GPa and the mean radius is to be 23 mm, with 7 mm pitch of the spring. (ME Bd. Oct 95)
A. 6.5 coils
C. 8.5 coils
B. 7.5 coils
D. 9.5 coils
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
Determine the maximum deflection of a 18 coil squared and ground helical springs supporting a load of 50 kg. The
modulus of elasticity in shear is 65 GPa, OD 10 cm and 9.52 mm wire diameter.
A. 84 mm
C. 92 mm
B. 86 mm
D. 97 mm
9.
A three extension coil springs are connected in a series that supports a single weight of 200 kgs. The first two springs
are rated at 0.50 kg/mm and the other lower 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
10. 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 used alloy of 18 coils.
A. 1.162
C. 1.195
B. 1.285
D. 1.456
11. A pump valve spring having a spring rate of 65 lb/in exerts an initial load of 100 lbs on the closed suction valve.
During pumping, the valve opens to its full limit of 1 inch. Physical dimensions of the helical spring are: 3.55 inch
outside coil diameter, 0.283 inch wire diameter, free length of 4.22 inch, and 6 total coils with ends squared and
ground. When the valve is fully opened, determine the total deflection.
A. 2.5385 in
C. 2.9543 in
B. 2.8535 in
D. 2.9812 in
12. 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 permissible stress is to be 415 MPa. Modulus of elasticity in shear
for the wire is 80 GPa. Determine the no. of active coils if the wire diameter is 0.148 inch.
A. 42.5
C. 47.1
B. 43.8
D. 49.2
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13. Compute the Whal factor of the spring if the outside diameter is 10 cm and the wire diameter is 0.75 cm.
A. 1.107
C. 1.660
B. 1.089
D. 1.250
14. 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
15. A three extension coil springs are hooked in series that supports a single load of 200 kgs. The first spring is rated at
0.500 kg/mm and the other two 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
16. 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
BOLTS AND SCREWS
1. What is the working strength of 2 inches bolt which is screwed up lightly in a packed joint when the allowable working
stress is 15 ksi?
A. 8.50 tons
C. 10.25 tons
B. 9.25 tons
D. 12.75 tons
2. Compute the working strength of a 1 inch 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
3. A machine bolt is lifting a loaf of 500 lbs. the bolt is made of SAE 1030 material with Su = 70 ksi and Sy = 50 ksi,
determine the stress area of the bolt.
A. 0.122 in2
C. 0.175 in2
2
D. 0.225 in2
B. 0.153 in
4. Find the no. of threads per inch, if the pith of the screw is 2/11
A. 5.5
C. 7.0
B. 6.5
D. 8.5
5. A 10 cm x 14 cm gas compressor is operating with a maximum pressure of 12 kg/cm2. These are 4 bolts with a 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
6. The cylinder head of a 10 cm x 12 cm air compressor is held by four stud bolts with a 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 in
C. 3/16 in
B. ¼ in
D. 5/8 in
7. The root diameter of a triple threaded square power screw is 550 mm. it has a pitch of 10 mm. it is used to lift a load of 15
kN. The collar of the screw has an outside diameter of 100 mm and an inner diameter of 60 mm. find the force applied at a
radius of 950 mm if the coefficient of friction for both threads and collar is 0.20.
A. 2550 N
C. 1520 N
B. 2340 N
D. 1083 N
8. A square thread power screw has an efficiency of 65% when raising the load. The coefficient of thread friction is 0.15 with
collar friction negligible. The pitch diameter of the screw is 70 mm. when lowering the load, a uniform velocity is maintained
by a brake mounted on the screw. If the load is 10 metric tons, what torque must the brake exert?
A. 567.8 N-m
C. 785.6 N-m
B. 658.7 N-m
D. 876.5 N-m
9. A 60 mm double square thread screw with a pitch of 12 mm is to be used to lift a load of 20 Kn. The friction radius of the
collar is 50 mm and the coefficient of thread and collar friction are 0.10 and 0.14, respectively. The velocity of the nut
carrying the loas is 3 m/min. find the efficiency of the screw and collar.
A. 24%
C. 65%
B. 27%
D. 78%
10. Compute how many ½ inch diameter set screws 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
BELTS
1. A lineshaft carrying 20 in pulley runs at 420 rpm. The pulley is belt connected to a 12 in pulley on the countershaft. The
countershaft has a 18 in pulley transmitting power ti a final pulley rotating at 900 rpm. Compute the required diameter of the
final pulley.
A. 8 in
C. 12 in
B. 10 in
D. 14 in
2. A transmission shafts carrying 24 in pulley rotating 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. 112.45 Hp
C. 128.52 Hp
B. 121.30 Hp
D. 134.50 Hp
3. 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. 330 cm
C. 380 cm
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B. 367 cm
D. 425 cm
4. Two flat belt pulleys having a center distance of 6 ft, have diameters of 4 ft and 1.5 ft. Find the length of belt if both pulleys
rotate in the same direction.
A. 21 ft
C. 30 ft
B. 25 ft
D. 34 ft
5. A pulley 610 mm in diameter transmits 37 kw at 600 rpm. The arc if contact between the belt and pulley is 144 degrees, the
coefficient of friction between the belt and the pulley is 0.35, and the safe working stress of the belt is 2.1 MPa. Find the width
of the belt used if its thickness is 6 mm.
A. 261 mm
C. 290 mm
B. 275 mm
D. 310 mm
GEARS
1. 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
2. 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
3. Three 28T idler are introduced between the pinion and the gear. The 24T pinion rotates at 600 rpm rpm and driving a final
gear of 36T. Determine the final speed of the gear and its rotation relative to the driving gear rotation.
A. 400 rpm and same direction
B. 400 rpm and opposite direction
C. 380 rpm and same direction
D. 250 rpm and opposite direction
4. Compute the tooth thickness on the tooth of a 20 degree full depth involute gear having a circular pitch of 0.7854 inch and
whole depth of 0.72 inch.
A. 7.65 mm
C. 8.55 mm
B. 7.95 mm
D. 9.97 mm
5. 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
6. A triple thread worm has a pitch diameter of 4 inches. The wheel has 36T and a pitch diameter of 10 inches. Compute the
helix angle.
A. 11.70
C. 14.50
0
B. 12.8
D. 16.50
7. Determine the tangential load transmitted by a spur gear. The spur gear rotates at 1200 rpm and transmits 45 HP. The pitch
diameter is 5 inches and the pressure angle is 14 ½ degree.
A. 756.5 lb
C. 901.3 lb
B. 872.4 lb
D. 945.4 lb
8. Find the minimum clearance allowed for spur gears with diameter pitch of 8. the spur gears has 96T.
A. 0.019625 mm
C. 0.6782 mm
B. 0.4984 mm
D. 0.9876 mm
9. Determine the circular pitch of a spur gear with a diametral pitch of
A. 1 in
C. 2.0 in
B. 1.5 in
D. 2.3 in
10. The amount by which the dedendum in a given gear/pinion exceeds the addendum of its mating pinion/gear. Also the
radial distance between the top of a tooth and the bottom of the mating tooth space.
A. tip relief
C. clearance
B. top land
D. space
11. The surface of the gear between the fillets of adjacent teeth is called ________.
A. bottom land
C. top land
B. flank
D. flank of tooth
12. In designing gears for power transmission consider an efficiency of ________as recommended.
A. 96% or more
C. 85% or more
B. 89% or more
D. 98% or more
13. _________ is the plane perpendicular to the axial plane and to the pitch plane. In gears the parallel axes, and the plane of
rotation coincide.
A. tangent plane
C. transverse
B. straight plane
D. reference plane
14. The width of the tooth space exceeds the thickness of each of the engaging tooth on the pitch circle _________.
A. Allowance
C. top land
B. bottom land
D. backlash
15. The lack of backlash in a spur gear design/operation may result to ________.
A. overloading
C. all of these
B. jamming
D. overheating
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