At a point in an elastic material under strain, the stresses on the three mutually perpendicular planes are as follows: A normal tensile stress of 60 N/mm^2 and shear stress of 40 N/mm2 on one plane and a normal tensile force of 40 N/mm^2 and a complimentary shear stress of 40 N/mm^2 on another plane. Find the following using Mohr circle only (take 5 N/mm2 = 1 cm) a. The principal stresses and principal planes. b. The maximum shear stress and its plane. c. The normal and shear stress on a plane inclined at an angle of 30O to major principal plane.

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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At a point in an elastic material under strain, the stresses on the three mutually perpendicular planes are as
follows:
A normal tensile stress of 60 N/mm^2
and shear stress of 40 N/mm2 on one plane and a normal tensile force of 40
N/mm^2
and a complimentary shear stress of 40 N/mm^2 on another plane. Find the following using Mohr circle
only (take 5 N/mm2 = 1 cm)
a. The principal stresses and principal planes.
b. The maximum shear stress and its plane.
c. The normal and shear stress on a plane inclined at an angle of 30O
to major principal plane.

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