At a point on the free surface of a stressed body, the normal stresses are 20 ksi (T) on a vertical plane and 30 ksi (C) on a horizontal plane. An unknown negative shear stress exists on the vertical plane. The absolute maximum shear stress at the point has a magnitude of 32 ksi. Determine the principal stresses and the shear stress on the vertical plane 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 7.2.26P: -26 A rectangular plate of dimensions 125 mm × 75 mm is subjected to tensile stress sy= 67 kPa and...
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At a point on the free surface of a stressed body, the
normal stresses are 20 ksi (T) on a vertical plane and 30 ksi (C) on
a horizontal plane. An unknown negative shear stress exists on the
vertical plane. The absolute maximum shear stress at the point has
a magnitude of 32 ksi. Determine the principal stresses and the
shear stress on the vertical plane at the point.

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