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With reference to Problem 1.15, find the magnitude of the maximum shear stress and show by sketch the orientation of the plane it acts on. Problem 1.15 Suppose that σ xx = 2,500 σ yy = 5,200 τ xy =...

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With reference to Problem 1.15, find the magnitude of the maximum shear stress and show by sketch the orientation of the plane it acts on.

Problem 1.15

Suppose that

σxx = 2,500 σyy = 5,200 τxy = 3,700

and the z-direction shear stresses(τzx, τzy) are zero, while the z-direction normal stress (σzz) is 4,000 psi. Find: the major, intermediate, and minor principal stresses.

Answered 97 days After Nov 23, 2021

Solution

Shobhit answered on Feb 28 2022
121 Votes
Given data:
σxx = 2500 psi
σyy = 5200 psi
σzz = 4000 psi
τxy = 3700 psi
τxz = 0
τyz = 0
(1)
Solution:
Since the shear stresses are zero in the z-direction, the plane normal to the z-axis, i.e. xy-plane,
is the principal plane, and the stress normal to it would be the principal stress.
The...
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