8.9 The stresses across two mutually perpendicular planes at a point in an elastic body are 120 MN/m? tensile with 45 MN/m2 clockwise shear, and 30 MN/m2 tensile with 45 MN/m counterclockwise shear. Find (i) the principal stresses, (ii) the maximum shear stress, and (iii) the normal and tangential stresses on a plane measured at 20° counterclockwise to the plane on which the 30 MN/m2 stress acts. Draw sketches showing the positions of the stresses found above and the planes on which they act

8.9 The stresses across two mutually perpendicular planes at a point in an elastic body are 120 MN/m? tensile with 45 MN/m2 clockwise shear, and 30 MN/m2 tensile with 45 MN/m counterclockwise shear. Find (i) the principal stresses, (ii) the maximum shear stress, and (iii) the normal and tangential stresses on a plane measured at 20° counterclockwise to the plane on which the 30 MN/m2 stress acts. Draw sketches showing the positions of the stresses found above and the planes on which they act

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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Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

Question

8.9 The stresses across two mutually perpendicular planes at a point in an elastic body are 120 MN/m?
tensile with 45 MN/m clockwise shear, and 30 MN/m? tensile with 45 MN/m counterclockwise
shear. Find (i) the principal stresses, (ii) the maximum shear stress, and (iii) the normal and tangential
stresses on a plane measured at 20° counterclockwise to the plane on which the 30 MN/m? stress acts.
Draw sketches showing the positions of the stresses found above and the planes on which they act
relative to the original stresses.
[138.6, 11.4, 63.6, 69.5,-63.4 MN/m2]

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