The principal stresses at a point are 70, 60 and -18 MPa; say o, is the yield point stress of the material. Using the maximum principal stress theory, FOS is 4. What is the FOS if the maxi- mum principal strain theory is used, Poisson's ratio of material is /3?

The principal stresses at a point are 70, 60 and -18 MPa; say o, is the yield point stress of the material. Using the maximum principal stress theory, FOS is 4. What is the FOS if the maxi- mum principal strain theory is used, Poisson's ratio of material is /3?

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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Question

The principal stresses at a point are 70, 60 and
-18 MPa; say o, is the yield point stress of the
material. Using the maximum principal stress
theory, FOS is 4. What is the FOS if the maxi-
mum principal strain theory is used, Poisson's
ratio of material is /3?
(a) 4
(b) 4.5
(c) 5.0
(d) 5.25

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