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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

3. Assume the plane stress state: ơ1 = 0, 02 = 20, T12 = 15 (all stresses in ksi). If oz alone is increased until
the maximum shear stress t1, in the material reaches ±20 ksi, what is the value of o, 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 Ao2 and you solve for A when the maximum shear
stress (from the circle geometry) reaches ±20 ksi.

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