Consider the following cantilevered beam, with a length L, a constant rectangula

Question

Consider the following cantilevered beam, with a length L, a constant rectangular cross-section with a width b and height h, consisting of a linearly elastic material with a Young’s Modulus E. The beam is loaded by a vertical point load P at its free right edge.

If you are given the following stress field prediction of this problem by a fellow engineer: Ozz(z, y, z) =1Pry, Try(z, y, z) = 6P(/-4 12P then check to see if this prediction of the stress field in the beam is physically valid in the sense that these stresses satisfy pointwise equilibrium.

Explanation / Answer

AS it satisfies the stress function equatio, the stresses are valid.

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