A round bar of length L. modulus of elasticity E, and weight density y tapers uniformly from a diameter of 3D at one end to a diameter 2D at the other end. If the bar is suspended vertically from the larger end, find the elongation of the bar caused by its own weight.

A round bar of length L. modulus of elasticity E, and weight density y tapers uniformly from a diameter of 3D at one end to a diameter 2D at the other end. If the bar is suspended vertically from the larger end, find the elongation of the bar caused by its own weight.

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

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

A round bar of length L. modulus of elasticity E, and weight density y tapers uniformly from a
diameter of 3D at one end to a diameter 2D at the other end. If the bar is suspended vertically
from the larger end, find the elongation of the bar caused by its own weight.

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