Normal Stress
A hollow steel tube with an inside diameter of 100 mm must carry a tensile load of 400 kN.
Determine the outside diameter of the tube if the stress is limited to 120 MN/m2.
A homogeneous 800 kg bar AB is supported at either end by a cable as shown in Fig. P-
105. Calculate the smallest area of each cable if the stress is not to exceed 90 MPa in
bronze and 120 MPa in steel.
The homogeneous bar shown in Fig. P-106 is supported by a smooth pin at C and a cable
that runs from A to B around the smooth peg at D. Find the stress in the cable if its
diameter is 0.6 inch and the bar weighs 6000 lb.
A rod is composed of an aluminum section rigidly attached between steel and bronze
sections, as shown in Fig. P-107. Axial loads are applied at the positions indicated. If P =
3000 lb and the cross sectional area of the rod is 0.5 in2, determine the stress in each
section.
An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in Fig.
P-108. Axial loads are applied at the positions indicated. Find the maximum value of P that
will not exceed a stress in steel of 140 MPa, in aluminum of 90 MPa, or in bronze of 100
MPa.
SOLVED PROBLEMS IN SHEARING STRESS
What force is required to punch a 20-mm-diameter hole in a plate that is 25 mm thick? The
shear strength is 350 MN/m2.
As in Fig. 1-11c, a hole is to be punched out of a plate having a shearing strength of 40 ksi. The
compressive stress in the punch is limited to 50 ksi. (a) Compute the maximum thickness of
plate in which a hole 2.5 inches in diameter can be punched. (b) If the plate is 0.25 inch thick,
determine the diameter of the smallest hole that can be punched.
Find the smallest diameter bolt that can be used in the clevis shown in Fig. 1-11b if P = 400 kN.
The shearing strength of the bolt is 300 MPa.
A 200-mm-diameter pulley is prevented from rotating relative to 60-mm-diameter shaft by a 70-
mm-long key, as shown in Fig. P-118. If a torque T = 2.2 kNm is applied to the shaft, determine
the width b if the
allowable shearing stress in the key is 60 MPa.
Compute the shearing stress in the pin at B for the member supported as
shown in Fig. P-119. The pin diameter is 20 mm.
The members of the structure in Fig. P-120 weigh 200 lb/ft. Determine the smallest diameter pin
that can be used at A if the shearing stress is limited to 5000 psi. Assume single shear.
SOLVED PROBLEMS IN THIN WALLED PREASSURE VESSELS
A cylindrical steel pressure vessel 400 mm in diameter with a wall thickness of 20 mm, is
subjected to an internal pressure of 4.5 MN/m2. (a) Calculate the tangential and longitudinal
stresses in the steel. (b) To what value may the internal pressure be increased if the stress in
the steel is limited to 120 MN/m2? (c) If the internal pressure were increased until the vessel
burst, sketch the type of fracture that would occur.
The wall thickness of a 4-ft-diameter spherical tank is 5/16 in. Calculate the allowable internal
pressure if the stress is limited to 8000 psi.
Calculate the minimum wall thickness for a cylindrical vessel that is to carry a gas at a pressure of
1400 psi. The diameter of the vessel is 2 ft, and the stress is limited to 12 ksi.
Thin walled pressure vessels
Shearing
