Chapter 10.7, Problem 91P

123.41 MPa 173.41 MPa 156.16 MPa 173.41 MPa -123.41 MPa -256.16 MPa 2.22 1.68 1.94 1.94 1.68 2.22

If a shaft is made of a material for which sY = 75 ksi, determine the maximum torsional shear stress required to cause yielding using the maximum distortion energy theory.

The stepped steel shaft carries the torque T. Determine the allowable magnitude of T if the working shear stress is 22 MPa and the and the rotation of the free end is limited to 5.2°. Use G = 83 GPA. Show the free body diagram.

The yield stress for a zirconium-magnesium alloy is sY = 15.3 ksi. If a machine part is made of this material and a critical point in the material is subjected to in-plane principal stresses s1 and s2 = -0.5s1, determine the magnitude of s1 that will cause yielding according to the maximum shear stress theory.

Bar of steel, (yield strenght Sy = 462 MPa) is subjected to the following stresses; σx = 171 MPa , σy = -144 MPa , τxy = 175 MPa Using the Distortion-Energy Theory determine the factor of safety and check is the bar will fail or not.

The plate is made of Tobin bronze, which yields at sY = 25 ksi. Using the maximum distortion energy theory, determine the maximum tensile stress sx that can be applied to the plate if a tensile stress sy = 1.5sx is also applied.

The 6061-T6 aluminum solid shaft is subjected to the loading shown. (a) Determine the maximum shear stress in the A shaft. (b) The aluminum has a yield strength of 131 MPa. Determine the factor of safety of the shaft for yielding due to the loading. 160 mm 35 kN-m 1 m 100 mm 100 KN•M 1.5 m 50 mm 20 kN-m 2 m 0.5 m 5 kN-m

If the structure yields at 200MPa, using the maximum distortion energy theory, determine the state of stress in points A and B and say if will fail

The 304-stainless-steel cylinder has an inner diameter of 4 in. and a wall thickness of 0.1 in. If it is subjected to an internal pressure of p = 80 psi, axial load of 500 lb, and a torque of 70 lb · ft, determine if yielding occurs according to the maximum shear stress theory.