Draw Mohr's circle for the following plane strain state. Then compute (or extract from your drawing) the principal strains and max shear strain. (Positive sign convention for each is shown on the figure.) Ex = 200μ, Ey = -200μ, Yxy = 50μ (rad)

Draw Mohr's circle for the following plane strain state. Then compute (or extract from your drawing) the principal strains and max shear strain. (Positive sign convention for each is shown on the figure.) Ex = 200μ, Ey = -200μ, Yxy = 50μ (rad)

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 7.7.13P: An clement of material in plane strain (see figure) is subjected to strains ex= 480 × 10-6, Ey= 70 ×...

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Question

Draw Mohr's circle for the following plane strain state. Then compute (or extract
your drawing) the principal strains and max shear strain. (Positive sign
convention for each is shown on the figure.)
from
Ex = 200μ, Ey = -200μ,
Yxy = 50μ (rad)
For the previous problem, compute the following six stress quantities: Ox, Oy, 0z, Txy, Tyz, Tzx. Assume this is an
aluminum alloy (E = 10,000 ksi, G = 3800 ksi, v = 0.33). Do not forget units!
Yxy
Material Coefficient of thermal expansion [/C] Young's modulus [GPa]
Aluminum
23
73
120
210
110
Copper
Steel
Titanium
17
11
8.6

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Step 1: Write the given data and what is to find

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Step 2: (a) Draw the Mohr's circle for the given state of strain:

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Step 3: (b) The value of principal strain and maximum shear strain:

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For the previous problem, compute the following six stress quantities: Ox, Oy, 0z, Txy, Tyz, Tzx. Assume this is an aluminum alloy (E = 10,000 ksi, G = 3800 ksi, v = 0.33). Do not forget units!

Draw Mohr's circle for the following plane strain state. Then compute (or extract
from your drawing) the principal strains and max shear strain. (Positive sign
convention for each is shown on the figure.)
Ex = 200μ, Ey=-200μ,
Yxy = 50μ (rad)
You
For the previous problem, compute the following six stress quantities: d. dy, dz. Txy, Tyz. Tzx. Assume this is an
aluminum alloy (E = 10,000 ksi, G = 3800 ksi, v = 0.33). Do not forget units!
Ex

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why isn't the The maximum shear strain = |epislon1- epislon2|?

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