Assume the plane stress state: o1 = 0, 02 = 20, t12 = 15 (all stresses in ksi). If oz alone is increased until the maximum shear stress t12 in the material reaches ±20 ksi, what is the value of 0z at this point? HINT: this is relatively easy to figure out if you construct a Mohr's circle for the initial stress state and then consider what happens if o, is replaced with Ao, and you solve for A when the maximum shear stress (from the circle geometry) reaches ±20 ksi.

Assume the plane stress state: o1 = 0, 02 = 20, t12 = 15 (all stresses in ksi). If oz alone is increased until the maximum shear stress t12 in the material reaches ±20 ksi, what is the value of 0z at this point? HINT: this is relatively easy to figure out if you construct a Mohr's circle for the initial stress state and then consider what happens if o, is replaced with Ao, and you solve for A when the maximum shear stress (from the circle geometry) reaches ±20 ksi.

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 7.7.15P: A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded...

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