The part shown is loaded at point B with 300 lbf in the negative y direction, at point C with 200 lbf in the negative z direction, and at point D with a force with components of 60 lbf in the positive...

The part shown is loaded at point B with 300 lbf in the negative y direction, at point C with 200 lbf in the negative z direction, and at point D with a force with components of 60 lbf in the positive x direction and 75 lbf in the positive y direction. The diameter of the bar AB is 0.75 in. Evaluate the likelihood of failure in bar AB by providing the following information:

Determine the precise location of the critical stress element at the cross section at A (i.e., specify the radial distance and the angle from the vertical y axis.)

Sketch the critical stress element and determine magnitudes and directions for all stresses acting on it.

Sketch the Mohr's circle for the critical stress element, approximately to scale. Label the locations of all three principal stresses and the maximum shear stress.

For the critical stress element, determine the three principal stresses and the maximum shear stress.