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There are _______ independent shearing stresses.

There are _______ independent shearing stresses. Correct Answer 3

At a point there are six shearing stresses. At equilibrium of the elemental volume, moment about z-axis ∑Mz = 0. ∴ (τYX.dx.dz)dy = (τXY .dy.dz)dx ∴ τYX = τXY . Similarly, τYZ = τZY and τZX = τXZ. Hence, out of six shearing stresses, there are only three independent shearing stresses.

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