At a point in the cross-section of an engineering component an element is subject to the following stresses: σx =100MPa σy =45MPa τxy = -50MPa Construct a Mohr’s Stress Circle and hence determine: (a) The Principal Stresses (σ1 & σ2) and the Directions of the Principal Planes (φ1 & φ2) (b) The Maximum Shear Stress (τmax) (c) Find the Normal Stress (σn) acting on a plane at 40 degs anticlockwise from the y-axis

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.3.18P: -18 through 7.3-22 An element in plane stress (see figure) is subjected to stresses o, a., and (a)...
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At a point in the cross-section of an engineering component an element is subject to the following stresses:

σx =100MPa

σy =45MPa

τxy = -50MPa

Construct a Mohr’s Stress Circle and hence determine:

(a) The Principal Stresses (σ1 & σ2) and the Directions of the Principal Planes (φ1 & φ2)

(b) The Maximum Shear Stress (τmax)

(c) Find the Normal Stress (σn) acting on a plane at 40 degs anticlockwise from the y-axis

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