*4-28. The rod has a slight taper and length L. It is suspended from the ceiling and supports a load P at its end. Show that the displacement of its end due to this load is 6 = PL/(E₂1). Neglect the weight of the material. The modulus of elasticity is E. Prob. 4-28 71 V p L

*4-28. The rod has a slight taper and length L. It is suspended from the ceiling and supports a load P at its end. Show that the displacement of its end due to this load is 6 = PL/(E₂1). Neglect the weight of the material. The modulus of elasticity is E. Prob. 4-28 71 V p L

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 2.8.3P

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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

Figure 4-26/27 Full Alternative Text
*4-28. The rod has a slight taper and length L. It is suspended from the ceiling and supports
a load P at its end. Show that the displacement of its end due to this load is 8 = PL/(TET ₂1).
Neglect the weight of the material. The modulus of elasticity is E.
Prob. 4-28
12.
11
P
L

Expert Solution

Step 1

For the given taper rod, load $P$ is applied at the end.

$E$ = modulus of elasticity of the rod material

It is required to determine the elongation at the end of the rod due to the application of the load.

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