An offset h must be introduced into a solid circular rod of diameter d. Knowing that the maximum stress after the offset is introduced must not exceed 4 times the stress in the rod when it is straight, determine the largest offset that can be used.

A 180-mm length of 30 x 40 mm solid rectangular bar is loaded as shown in the diagram. The right end of the tube is fixed to a rigid frame while the left end is free. (a) Draw the stress element for point B at the top center of the bar (right end) and label the stress vectors acting on the element, including the stress magnitudes. (b) Draw the stress element for point C at the middle of the front face of the bar (right end) and label the stress vectors acting on the element, including stress magnitudes

A high-strength steel [E = 188 GPa] tube having an outside diameter of 67 mm and a wall thickness of 4.1 mm is bent into a circular curve having a 42-m radius of curvature. Determine the maximum magnitude of the bending stress max developed in the tube. Answer: Omax = i MPa.

If the block is subjected to the centrally applied force of 600kN, determine the average normal stress in the material. Show the stress acting on a differential volume element of the material