Given a 10-inch bar with a variable cross-sectional area defined as A = (1 + 0.1x) in², where x increases from 0 to 10, along its 10-inch length; and with a modulus of elasticity E equal to 12 x 106 psi. Determine the normal stress of the bar at x = 6 in. and its total change in length if the bar is subject to an axial tensile force of 20 kips.

Given a 10-inch bar with a variable cross-sectional area defined as A = (1 + 0.1x) in², where x increases from 0 to 10, along its 10-inch length; and with a modulus of elasticity E equal to 12 x 106 psi. Determine the normal stress of the bar at x = 6 in. and its total change in length if the bar is subject to an axial tensile force of 20 kips.

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

Strain energy

The term strain indicates the variation in an object's length, area, and volume when the object is subjected to an external force. The external force may be of normal, shear, moment, torque, etc. The strain in an object depends on the types of external force and cross-section of the object. Mathematically, the evaluation of strain can be obtained with the help of elastic constants.

Question

Problem #1
Given a 10-inch bar with a variable cross-sectional area defined as A = (1 + 0.1x) in², where x increases from
0 to 10, along its 10-inch length; and with a modulus of elasticity E equal to 12 x 106 psi. Determine the normal
stress of the bar at x = 6 in. and its total change in length if the bar is subject to an axial tensile force of 20
kips.

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