For the given slate of stress, determine the normal and shearing stresses exerted on the oblique lace of the shaded triangular element shown. Use a method of analysis based on the equilibrium of that element as was done in the derivations of Sec. 14.2.

1 Answers

Step: 1

Represent the state of stress element.

Step: 2

Consider the area of the element.

Step: 3

Consider the loads acting on the element.

Step: 4

Consider the equilibrium of forces along the normal direction of the plane.

There, is the area of the oblique plane.

Therefore, the normal stress exerted on the oblique face is .

Step: 5

Consider the equilibrium of forces along the plane.

Therefore, the shear stress exerted on the oblique face is .

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