Problem 3:The state of stress at a point is caused bythree separate actions, each of whichproduces a pure unidirectional tension of10 N/mm² individually but in threedifferent directions, as shown in thefigures.10 N/mm²10 N/mm²10 N/mm²10 N/mm² 10N/mm²30° 30°10 N/mm²By transforming the individual stresses to a common set of axes (X,Y), determine the principalstresses at the point and their directions. What do you observe? What is this state of stress called?

The principal stresses are σ₁ = 10 N/mm² and σ₂ = -5 N/mm². The direction of the principal stress σ₁…

Answered: Problem 3: The state of stress at a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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 shear stress(c) Determine the angle with respect to the x-axis at which the maximum shear stress is experienced
Q1
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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