Q. 5 At a point in a piece of elastic material there are three mutually perpendicular planes on which the stresses are as follows: tensile stress 50 N/mm² and shear stress 40 N/mm² on one plane, compressive stress 35 N/mm² and complementary shear stress 40 N/mm² on the second plane, no stress on third plane, Find (a) the principal stresses and the positions of the planes on which they act, (b) the positions of planes on which there is no normal stress.

Q. 5 At a point in a piece of elastic material there are three mutually perpendicular planes on which the stresses are as follows: tensile stress 50 N/mm² and shear stress 40 N/mm² on one plane, compressive stress 35 N/mm² and complementary shear stress 40 N/mm² on the second plane, no stress on third plane, Find (a) the principal stresses and the positions of the planes on which they act, (b) the positions of planes on which there is no normal stress.

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.

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Q. 5 At a point in a piece of elastic material there are three mutually perpendicular planes on
which the stresses are as follows: tensile stress 50 N/mm² and shear stress 40 N/mm² on
one plane, compressive stress 35 N/mm² and complementary shear stress 40 N/mm² on the
second plane, no stress on third plane, Find (a) the principal stresses and the positions of the
planes on which they act, (b) the positions of planes on which there is no normal stress.

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