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 2.7.2P: A bar with a circular cross section having two different diameters d and 2d is shown in the figure....
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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)
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