An element in plane stress at the surface of a structure is subjected to stresses: 0, = 100 MPa,0, = 40 MPa, and Ty = 35MPA, as shown in figure below.Using Mohr's circle, determine the following quantities:(1) the stresses acting on an element inclined at an angle: 0 = 40°,(2) the principal stresses, and(3) the maximum shear stresses.40MPAB.35MPA100MPA

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Answered: Using Mohr's circle, determine the fol…

Using Mohr's circle, determine the fol (1) the stresses acting on an element in (2) the principal stresses, and (3) the maximum shear stresses.

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 7.4.2P: .4-2 An element in uniaxial stress is subjected to tensile stresses sx= 57 MPa. as shown in the...

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Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

An element in plane stress at the surface of a structure is subjected to stresses: 0, = 100 MPa,0, = 40 MPa, and Ty = 35MPA, as shown in figure below.
Using Mohr's circle, determine the following quantities:
(1) the stresses acting on an element inclined at an angle: 0 = 40°,
(2) the principal stresses, and
(3) the maximum shear stresses.
40MPA
B.
35MPA
100MPA

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