(Solved): The part shown is loaded at point B with 300lbf in the negative y direction, at point C with 200lb ...

The part shown is loaded at point $$B$$ with $$300\mathrm{lbf}$$ in the negative $$y$$ direction, at point $$C$$ with $$200\mathrm{lbf}$$ in the negative $$z$$ direction, and at point $$D$$ with a force with components of $$60\mathrm{lbf}$$ in the positive $$x$$ direction and $$75\mathrm{lbf}$$ in the positive $$y$$ direction. The diameter of the bar $$AB$$ is $$0.75\mathrm{in}$$. Evaluate the likelihood of failure in bar $$AB$$ by providing the following information: (a) Sketch the critical stress element and determine magnitudes and directions for all stresses acting on it. (b) 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.