Name: ___________________________
Solve the following problems.
1. Determine the stress at cable AB and BC in MPa when the mass of the load is 1500 kg and the angle θ =
25°. Diameter of cable AB and BC is 25mm.
2. For the punching operation shown in figure below, compute the shear stress in the material a force of
1250 lb is applied through the punch. The thickness of the material is 0.040 in.
3. The force on the link in the simple pin joint shown in figure below is 3550 N. If the pin has diameter of
10.0 mm, compute the shear stress in the pin.
4. Compute the shear stress in the pin. Use the data in the previous problem.
5. A shelf is being designed to hold crates having a total mass of 1840 kg. Two support rods like those shown
in Figure hold the shelf. Each rod has a diameter of 12.0 mm. Assume that the center of gravity of the
crates is at the middle of the shelf. Compute the stress in the middle portion of the rods.
6. A machine having a mass of 4200 kg is supported by three solid steel rods arranged as shown in Figure.
Each rod has a diameter of 20 mm. Compute the stress in each rod.
7. A centrifuge is used to separate liquids according to their densities using centrifugal force. Figure
illustrates one arm of a centrifuge having a bucket at its end to hold the liquid. In operation, the bucket
and the liquid have a mass of 0.40 kg. The centrifugal force has the magnitude in newtons of
Compute the stress in the round bar. Consider only the force due to the container.
8. A square bar carries a series of loads as shown in Figure. Compute the stress in each segment of the bar.
All loads act along the central axis of the bar.
9. Repeat problem above using the figure below.
10. 10 . Repeat problem above using the figure below. The pipe is 1.5in, schedule 40 steel pipe. douter =
1.90in, dinner = 1.61
11. Compute the stress in member BD shown in Figure if the applied force F is 2800 lb.
12. For the figure shown below, compute the forces in all members and the stresses in the mid-section, away
from any joint.
13. For the figure shown below, compute the forces in all members and the stresses in the mid-section, away
from any joint.
14. A short compression member has the cross section shown in figure below. Compute the stress in
the member if a compressive force of 52 000 lb is applied in line with its centroidal axis
15. A short compression member has the cross section shown in figure below. Compute the stress in the
member if a compressive force of 640 kN is applied in line with its centroidal axis.
16. In a pair of pliers, the hinge pin is subjected to direct shear, as indicated in figure below If the pin has a
diameter of 3.0 mm and the force exerted at the handle, Fh, is 55 N, compute the stress in the pin.
17. The figure below shows the shape of a slug to be punched from a sheet of aluminum 5.0 mm thick.
Compute the shear stress in the aluminum if a punching force of 38.6 kN is applied.
18. The figure below shows the shape of a slug to be punched from a sheet of steel 0.194 in. thick. Compute
the shear stress in the steel if a punching force of 45 000 lb is applied.
19. The figure below shows an assembly in which the upper block is brazed to the lower block. Compute the
shear stress in the brazing material if the force is 88.2 kN.
20. The figure below shows a riveted lap joint connecting two steel plates. Compute the shear stress in the
rivets due to a force of 10.2 kN applied to the plates.
21. A notch is made in a piece of wood, as shown in Figure, in order to support an external load F of 1800
lb. Compute, the shear stress in the wood.
22. The square steel tube carries 30 000 lb of axial compressive force. Compute the compressive stress in
the tube and the bearing stress between each mating surface. Consider the weight of the concrete pier to
be 338 lb.
23. A rectangular bar is used as a hanger, as shown in Figure. Compute the allowable load on the basis of
bearing stress at the pin connection if the bar and the clevis members are made from 6061-T4 aluminum
(σallow = 94.3MPa). The pin is to be made from a stronger material.
24. The figure below shows a column resting on a foundation and carrying a load of 26 kip. Determine if the
bearing stresses are acceptable for the concrete and the soil. The concrete has a specified rated strength
of 2000 psi, and the soil is compact gravel.
25. The figure shows two rods, AC and BC, supporting a load at C. Each rod is steel and has a diameter of
8.00 mm. Compute the stress in rods AC and BC when a load having a mass of 680 kg is suspended
from C.
26. The figure shows two rods, AB and BC, supporting a load at B. Each rod is steel and has a diameter of
10.00 mm. Compute the stress in rods AB and BC when a load having a mass of 4200 kg is suspended
from B.
27. Compute the bearing stresses at the mating surfaces A, B, C, and D, in figure below.
28. A bolt and washer are used to fasten a wooden board to a concrete foundation as shown in Figure. A
tensile force of 385 lb is created in the bolt as it is tightened. Compute the bearing stress (a) between the
bolt head and the steel washer and (b) between the washer and the board.
29. The heel of a woman’s shoe has the shape shown in Figure. If the force on the heel is 535 N,
compute the bearing stress on the floor.
30. A machine weighs 90 kN and rests on four legs. Two concrete supports serve as the foundation. The
load is symmetrical, as shown in Figure P3–135. Evaluate the proposed design with regard to the
safety of the steel plate, the concrete foundation, and the soil for bearing.
31. A support for a beam is made as shown in Figure. Determine the required thickness of the projecting
ledge a if the maximum shear stress is to be 6000 psi. The load on the support is 21 000 lb.
32. shows a steel strap with holes and slots punched from it. The entire strap is also punched from a larger
sheet of 3003-HI2 aluminum alloy(τallow = 83MPa), 1.40 mm thick. Compute the total force required to
produce the part if all shearing is done in one stroke.