The part shown is loaded at point B with 300 lbf in the negative y direction, at point C with 200 lIbf 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: (a) 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.) (b) Sketch the critical stress element and determine magnitudes and directions for all stresses acting on it. (c) For the critical stress element, determine the three principal stresses and the maximum shear stress. 200 lbf 0.75-in dia 300 lbf 75 lbf 5.5 in 5 in 60 lbf

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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:
(a) 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.)
(b) Sketch the critical stress element and determine magnitudes and directions for all stresses acting on it.
(c) For the critical stress element, determine the three principal stresses and the maximum shear stress.
200 lbf
0.75-in dia
300 lbf
6 in
75 lbf
5.5 in
5 in
60 lbf
Transcribed Image Text: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: (a) 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.) (b) Sketch the critical stress element and determine magnitudes and directions for all stresses acting on it. (c) For the critical stress element, determine the three principal stresses and the maximum shear stress. 200 lbf 0.75-in dia 300 lbf 6 in 75 lbf 5.5 in 5 in 60 lbf
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