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February 14, 2021

Consider a point O in a solid body in the state of plane stress on the

Consider a point O in a solid body in the state of plane stress on the (x, y) plane. Figure 7 shows the stress components acting at O along planes A and B. Using Mohr’s circle: [10 pts] (a) Determine the angle θ between the two planes. (b) Find the principal stresses σ1 and σ2 and the angles formed between the principal directions and the plane A. (c) Find the maximum in-plane shear stress and the normal stress on the planes of maximum in-plane shear stress.

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