The state of stress at a point in a loaded solid is given as [5 0 2 [0]=|0 0 0 MPa [2 0 -5 (a) Calculate the principal stresses (b) Plot the Mohr's circles for this point and calculate the maximum shear stress (c) Determine the principal directions only for the largest principal stress.

The state of stress at a point in a loaded solid is given as [5 0 2 [0]=|0 0 0 MPa [2 0 -5 (a) Calculate the principal stresses (b) Plot the Mohr's circles for this point and calculate the maximum shear stress (c) Determine the principal directions only for the largest principal stress.

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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Concept explainers

Strain energy

The term strain indicates the variation in an object's length, area, and volume when the object is subjected to an external force. The external force may be of normal, shear, moment, torque, etc. The strain in an object depends on the types of external force and cross-section of the object. Mathematically, the evaluation of strain can be obtained with the help of elastic constants.

Question

The state of stress at a point in a loaded solid is given as
[5 0 2
[0]=|0 0 0 MPa
20 -5
(a) Calculate the principal stresses
(b) Plot the Mohr's circles for this point and calculate the maximum shear stress
(c) Determine the principal directions only for the largest principal stress.

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