Q5) A material is subjected to two mutually perpendicular linear strains together with a shear strain. Given that this system produces principal strains of 1x 104 compressive and 3x10 tensile and that one of the linear strains is 2.5x 104 tensile, determine the magnitudes of the other linear strain and the shear strain by using Mohr's strain circle. Also, find the values of the principal stresses present in the material by using Mohr's stress circle. For the material, take E = 208GN/m² and v=0.3

Q5) A material is subjected to two mutually perpendicular linear strains together with a shear strain. Given that this system produces principal strains of 1x 104 compressive and 3x10 tensile and that one of the linear strains is 2.5x 104 tensile, determine the magnitudes of the other linear strain and the shear strain by using Mohr's strain circle. Also, find the values of the principal stresses present in the material by using Mohr's stress circle. For the material, take E = 208GN/m² and v=0.3

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 7.7.3P: An element of material in plain strain is subjected to shear strain xy = 0.0003. (a) Determine the...

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An element of material in plain strain is subjected to shear strain xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 30°. (b) Determine the principal strains of the clement. Confirm the solution using Mohr’s circle for plane strain.
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