Question

1. (30 pts) A 1200 N and 800 N forces as well as a 200 Nm torque are applied at end B of shaft BC as shown in Figure 1 below. The shaft has a diameter of 40 mm. For the given 200 mm loading condition, a) draw the FBD of the shaft segment (showing the internal loads) and determine the internal loadings N,Vy, V:, M, M., and T, at the cross-section 200 mm away from the 200 mm point of load application, at point A, and that shows all stresses, and b) determine the state of stress, (o(x andz)A 1200 N 200 Nm c) draw the differential volume stress element at point A 800 N d) (Bonus: 5pts) the principal stresses, σ1 and σ2, the orientation of the principal planes, θp1 and θp2, for the Figure 1 same point A on the cross-section.

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