Problem 1.6-4 A circular aluminum tube of length L- 600 mm is loaded in compression by forces P (see figure). The outside and inside diameters are d;-75 mm and dm 63 mm, respectively. A strain gage is placed on the outside of the tube to measure normal strains in the longitudinal direction. Assume that E-73 GPa and Poisson's ration v 0.33. Strain gage (a) (a) If the compressive stress in the tube is 57 MPa, what is the load P? (b) If the measured strain is e-781 x 10, what is the shortening Sof 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 d, -75 mm along is entire length L but now has increased inner diameter d, with a normal stress of 70 MPa over the middle third, while the rest of the tube remains at normal stress of 57 MPa, what is the diameter d,? (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
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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Strain gage
Problem 1.6-4 A circular aluminum tube of length L-600 mm
is loaded in compression by forces P (see figure). The outside and
inside diameters are d;-75 mm and di-63 mm, respectively. A
strain gage is placed on the outside of the tube to measure normal
strains in the longitudinal direction. Assume that E- 73 GPa and
Poisson's ration v 0.33.
1-
7-
(a) If the compressive stress in the tube is 57 MPa, what is the
load P?
(b) If the measured strain is e 781 x 10, what is the shortening
Sof 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 d, -75 mm
along is entire length L but now has increased inner
diameter d, with a normal stress of 70 MPa over the middle
third, while the rest of the tube remains at normal stress of
57 MPa, what is the diameter d,?
41
dz
13-
(b)
Transcribed Image Text:Strain gage Problem 1.6-4 A circular aluminum tube of length L-600 mm is loaded in compression by forces P (see figure). The outside and inside diameters are d;-75 mm and di-63 mm, respectively. A strain gage is placed on the outside of the tube to measure normal strains in the longitudinal direction. Assume that E- 73 GPa and Poisson's ration v 0.33. 1- 7- (a) If the compressive stress in the tube is 57 MPa, what is the load P? (b) If the measured strain is e 781 x 10, what is the shortening Sof 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 d, -75 mm along is entire length L but now has increased inner diameter d, with a normal stress of 70 MPa over the middle third, while the rest of the tube remains at normal stress of 57 MPa, what is the diameter d,? 41 dz 13- (b)
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