A circular aluminum tube of length L = 400 mm is loaded in compression by forces P (see figure). The outside and inside diameters are 60 mm and 50 mm, respectively. A strain gage is placed on the outside of the bar to measure normal strains in the longitudinal direction.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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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 of length L = 400 mm is loaded in
%3D
compression by forces P (see figure). The outside and inside
diameters are 60 mm and 50 mm, respectively. A strain gage is
placed on the outside of the bar to measure normal strains in
the longitudinal direction.
(a) If the measured strain is e =
550 x 10-6,, what is the
shortening 6 of the bar? .
(b) If the compressive stress in the bar is intended to be 40
MPa, what should be the load P?
(b) For each braking system, what is the stress in the brake
cable (assume effective cross-sectional area of 0.00167 in?)?
(HINT: Because of symmetry, you only need to use the right
half of each figure in your analysis.)
Strain gage
= 400 mam
Transcribed Image Text:A circular aluminum tube of length L = 400 mm is loaded in %3D compression by forces P (see figure). The outside and inside diameters are 60 mm and 50 mm, respectively. A strain gage is placed on the outside of the bar to measure normal strains in the longitudinal direction. (a) If the measured strain is e = 550 x 10-6,, what is the shortening 6 of the bar? . (b) If the compressive stress in the bar is intended to be 40 MPa, what should be the load P? (b) For each braking system, what is the stress in the brake cable (assume effective cross-sectional area of 0.00167 in?)? (HINT: Because of symmetry, you only need to use the right half of each figure in your analysis.) Strain gage = 400 mam
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