A circular aluminum tube with a length of L = 420 mm is loaded in compression by forces P (see figure). The hollow segment of length LB has outside and inside diameters of 60 mm and 35 mm, respectively. The solid segment of length 2L/3 has a diameter of 60 mm. A strain gage is placed on the outside of the hollow segment of the bar to measure normalstrains in the longitudinal direction.(a) If the measured strain in the hollow segment is6jy=470*10 , what is the strain in the solid part? Hint: The strain in the solid segment is equal to that in the hollow segment multiplied by the ratio of the area of the hollow to that of the solid segment.(b) What is the overall shortening of the bar?(c) If the compressive stress in the bar cannot exceed 48 MPa, what is the maximum permissible value of load P?

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.7.6P: A circular aluminum tube of length L = 600 mm is loaded in compression by forces P (see figure). The...
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A circular aluminum tube with a length of L = 420 mm is loaded in compression by forces P (see figure). The hollow segment of length LB has outside and inside diameters of 60 mm and 35 mm, respectively. The solid segment of length 2L/3 has a diameter of 60 mm. A strain gage is placed on the outside of the hollow segment of the bar to measure normal
strains in the longitudinal direction.
(a) If the measured strain in the hollow segment is6jy=470*10 , what is the strain in the solid part? Hint: The strain in the solid segment is equal to that in the hollow segment multiplied by the ratio of the area of the hollow to that of the solid segment.
(b) What is the overall shortening of the bar?
(c) If the compressive stress in the bar cannot exceed 48 MPa, what is the maximum permissible value of load P?

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