4-in square steel bar subjected to transverse biaxial tensile stresses

Consider a 4-in square steel bar subjected to transverse biaxial tensile stresses of 20 ksi in the x direction and 10 ksi in the y direction. (a) Assuming the bar to be in a state of plane stress, determine the strain in the z direction and the elongations of the plate in the x and y directions. (b) Assuming the bar to be in a state of plane strain, determine the stress in the z direction and the elongations of the bar in the x and y directions. Let E= 30103 ksi and  = 0.25.

circular steel shaft with varying diameters under multiple torsional loads

A circular steel shaft of the dimensions shown in the figure is subjected to three torques: T1=28 k-in, T2=-8 k-in, and T3 = 10 k-in. (a) What is the angle of twist of the right end due to the applied torques? (b) Plot the angle of twist diagram along the shaft. Let G=12 106 psi.

Hollow shaft transmitting power with shear limits.

(a) Design a hollow steel shaft to transmit 300 hp at 75 rpm without exceeding a shear tress of 8000 psi. Use 1.2:1 as the ratio of the outside diameter to the inside diameter. (b) What solid shaft could be used instead?

Simply supported (in 3 dimensions) wooden beam under constant load at an angle - find stresses and locate Neutral Axis

A 150  200 mm wooden beam shown in Fig 9-4 (a) is used to support a uniformly distributed load of 4 kN (total) on a simple span of 6000 mm. The applied load acts in a plane making an angle, , of 20 with the vertical, as shown in Fig 9-4 (b) and again in Fig. 9-4 (c). Calculate the maximum bending stress at mid-span, and, for the same section, locate the neutral axis. Neglect the weight of the beam

Thin walled box beam with end load at an angle.

A box beam made from an extruded aluminium ally having 5 414 mm wall thickness is loaded by an inclined force P=100 N, as shown in the figure. Determine the maximum stress on section a-b. For the box beam, use the centreline dimension for finding I. (Note that the stress is far away from the support where large local stress concentrations are unlikely.)