The following stress condition is applied to a cubic material. Normal stress in the x direction is 15 Mpa, normal stress in the z direction is -7 Mpa and the shear stress in the x-z plane is 59 Mpa. (a) Write the stress tensor (b) Find the maximum normal stress (c) Find the angle with respect to the x-axis at which the maximum normal stress is applied (d) Find the maximum shear stress (e) Determine the angle with respect to the x-axis at which the maximum shear stress is experienced

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
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The following stress condition is applied to a cubic material.
Normal stress in the x direction is 15 Mpa, normal stress in the z direction is -7 Mpa and the
shear stress in the x-z plane is 59 Mpa
(a) Write the stress tensor
(b) Find the maximum normal stress
(c) Find the angle with respect to the x-axis at which the maximum normal stress is applied
(d) Find the maximum shear stress
(e) Determine the angle with respect to the x-axis at which the maximum shear stress is
experienced
Transcribed Image Text:The following stress condition is applied to a cubic material. Normal stress in the x direction is 15 Mpa, normal stress in the z direction is -7 Mpa and the shear stress in the x-z plane is 59 Mpa (a) Write the stress tensor (b) Find the maximum normal stress (c) Find the angle with respect to the x-axis at which the maximum normal stress is applied (d) Find the maximum shear stress (e) Determine the angle with respect to the x-axis at which the maximum shear stress is experienced
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