A steel bar 8.0 ft long has a circular cross section of diameter in. over one-half of its length and diameter in. over the other half (see figure part a). The modulus of elasticity psi. (a) How much will the bar elongate under a tensile load (b) If the same volume of material is made into a bar of constant diameter d and length 8.0 ft, what will be the elongation under the same load P? (c) If the uniform axial centroidal load is applied to the left over segment 1 (see figure part b), find the ratio of the total elongation of the bar to that in parts (a) and (b)

A steel bar 8.0 ft long has a circular cross section of diameter in. over one-half of its length and diameter in. over the other half (see figure part a). The modulus of elasticity psi. (a) How much will the bar elongate under a tensile load (b) If the same volume of material is made into a bar of constant diameter d and length 8.0 ft, what will be the elongation under the same load P? (c) If the uniform axial centroidal load is applied to the left over segment 1 (see figure part b), find the ratio of the total elongation of the bar to that in parts (a) and (b)

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 2.10.6P: ,10-6 A prismatic bar with a diameter d0= 20 mm is being compared with a stepped bar of the same...

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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 steel bar 8.0 ft long has a circular cross section of diameter in. over one-half of its length and

diameter in. over the other half (see figure part a). The modulus of elasticity psi.

(a) How much will the bar elongate under a tensile load

(b) If the same volume of material is made into a bar of constant diameter d and length 8.0 ft, what will be the elongation

under the same load P?

of the total elongation of the bar to that in parts (a) and (b)

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