An element in plane stress on the surface of an automobile drive shaft (see figure) is subjected to stresses of o, = -45 MPa and 7 = 39 MPa (see figure). It is known that one of the principal stresses equals 41 MPa in tension. (a) Determine the stress o „. (b) Determine the other principal stress and the orientation of the principal planes, then show the principal stresses on a sketch of a properly oriented element. 139 MPa 45 MPa

An element in plane stress on the surface of an automobile drive shaft (see figure) is subjected to stresses of o, = -45 MPa and 7 = 39 MPa (see figure). It is known that one of the principal stresses equals 41 MPa in tension. (a) Determine the stress o „. (b) Determine the other principal stress and the orientation of the principal planes, then show the principal stresses on a sketch of a properly oriented element. 139 MPa 45 MPa

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

An element in plane stress on the surface of
an automobile drive shaft (see figure) is subjected to
stresses of o, = -45 MPa and Ty = 39 MPa (see
figure). It is known that one of the principal stresses
equals 41 MPa in tension.
(a) Determine the stress o .
(b) Determine the other principal stress and the
orientation of the principal planes, then show
the principal stresses on a sketch of a properly
oriented element.
139 MPa
45 MPa

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Grandpa/Shutterstock.com 7.3-26 An element in plane stress on the surface of an automobile drive shaft (see figure) is subjected to stresses of σ = -45 MPa and 7xy = 39 MPa (see figure). It is known that one of the principal stresses equals 41 MPa in tension. (a) Determine the stress o,. (b) Determine the other principal stress and the orientation of the principal planes, then show the principal stresses on a sketch of a properly oriented element. PROBLEM 7.3-26 T P o, Т 139 MPa 45 MPa