Using the results from Exercise 7.6 , eliminate the stresses from the plane stress equilibrium equations and

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Using the results from Exercise 7.6 , eliminate the stresses from the plane stress equilibrium equations and develop Navier equations (7.2.5). Also, formally establish the Beltramie-Michell equation (7.2.7).

Data from exercise 7.6 Invert the plane stress form of Hooke’s law (7.2.2) and express the stresses in terms of the strain components:

dy || E 1- -(ex + vey) E 1-2 E 1+v -(ey + vex) exy

Equation 7.2 .2

ex = = (0x - voy) 1 E ey ez exy (ay - vox) - 17/7 (0x + 0) = ay) 1 + v E V 1 - 2 ( 1-v -(ex + ey) -Txy, exz =

Equation 7.2 .5

Equation 7.2 .7

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Elasticity Theory Applications And Numerics

ISBN: 9780128159873

4th Edition

Authors: Martin H. Sadd Ph.D.

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Question Posted: Jan 15, 2024 05:00 AM

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Using the results from Exercise 7.6 , eliminate the stresses from the plane stress equilibrium equations and

Question:

dy || E 1- -(ex + vey) E 1-2 E 1+v -(ey + vex) exy

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E du 1v ex 0 Substitute into equilibriu m equations 0 2 at ax ay E ...View the full answer

Elasticity Theory Applications And Numerics

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