Consider a point in a structural member that is subjected to plane stress.  Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 66 MPa, Sy = 89 MPa, and Sxy = 17 MPa. (a) Determine the principal stresses and the maximum in-plane shear stress acting at the point. (b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16) (c) Compute the absolute shear stress at the point.

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 7.2.2P: Solve the preceding problem for an element in plane stress on the bottom surface of a fuel tanker...
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Consider a point in a structural member that is subjected to plane stress.  Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 66 MPa, Sy = 89 MPa, and Sxy = 17 MPa.
(a) Determine the principal stresses and the maximum in-plane shear stress acting at the point.
(b) Show these stresses on an appropriate sketch (e.g., see Figure 12.15 or Figure 12.16)
(c) Compute the absolute shear stress at the point.

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