At a point in a stressed material, the major principal stress is 180 kPa compression and the minor principal stress is 40 kPa tension. (a) Determine the Mohr’s circle for this stress combination. (b) What is the maximum shear stress that acts at the point, and what is the value for the normal stress acting on the plane of maximum shear? (c) Determine the value of the normal and shear stress acting on the plane 22.5° ccw from the major principal plane.

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter9: Time, Temperature, And Mechanical Properties
Section: Chapter Questions
Problem 9.3P
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At a point in a stressed material, the major principal stress is 180 kPa compression and the minor principal stress is 40 kPa tension.

(a) Determine the Mohr’s circle for this stress combination.

(b) What is the maximum shear stress that acts at the point, and what is the value for the normal stress acting on the plane of maximum shear?

(c) Determine the value of the normal and shear stress acting on the plane 22.5° ccw from the major principal plane.

 

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