round bar of length L. modulus of elasticity E, and weight density 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.

round bar of length L. modulus of elasticity E, and weight density 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.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.3.16P: *16 A prismatic bar AB of length L, cross-sectional area A, modulus of elasticity E, and weight...

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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 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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