Mechanics of Materials, SI Edition
9th Edition
ISBN: 9781337093354
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
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Chapter 1, Problem 1.7.6P
A circular aluminum tube of length L = 600 mm is loaded in compression by forces P (see figure). The outside and inside diameters are d2= 75 mm and d1= 63 mm, respectively. A strain gage is placed on the outside of the lube to measure normal strains in the longitudinal direction. Assume that E = 73 GPa and Poissons ratio is v = 0.33.
(a) IF the compressive stress in the tube is 57 MPa, what is the load P?
(b) If the measured strain is e = 78 J X 10-6, what is the shortening & of the tube? What is the percent change in its cross-sectional area? What is the volume change of the tube?
(c) If the tube has a constant outer diameter of d2= 75 mm along its entire length L but now has increased inner diameter d3with a normal stress of 70 MPa over the middle third (see figure, part b) while the rest or the lube remains at normal stress of 57 MPa, what is the diameter d3?
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Chapter 1 Solutions
Mechanics of Materials, SI Edition
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