1.4-6) A circular aluminum tube with a lenth ofL- 420 mm is loaded in compression by forces P(see figure). The hollow segment of length L/3 hasoutside and inside diameters of 60 mm and 35 mm,respectively. The solid segment of length 2L/3 has adiameter of 60 mm. A strain gage is placed on theoutside of the hollow segment of the bar to measurenormal strains in the longitudinal direction.(a) If the measured strain in the hollow segmentis ɛ, = 470 x 10-º, what is the strain ɛ, in thesolid part? Hint: The strain in the solidis equal to that in the hollow segment multi-plied by the ratio of the area of the hollow tothat of the solid segment.segment(b) What is the overall shortening 8 of the bar?(c) If the compressive stress in the bar cannotexceed 48 MPa, what is the maximum permissi-ble value of load P?L/3Strain gage-L = 420 mmPROBLEM 1.4-6

Answered: Image /qna-images/answer/d609c90b-8cd6-4243-a607-571321ad6706.jpg

1.4-6) A circular aluminum tube with a lenth of L420 mm is loaded in compression by forces P (see figure). The hollow segment of length L/3 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 is e, = 470 x 10-, what is the strain ɛ, in the solid part? Hint: The strain in the solid segment is equal to that in the hollow segment multi- plied by the ratio of the area of the hollow to that of the solid segment. (b) What is the overall shortening 8 of the bar? (c) If the compressive stress in the bar cannot exceed 48 MPa, what is the maximum permissi- ble value of load P?

1.4-6) A circular aluminum tube with a lenth of L420 mm is loaded in compression by forces P (see figure). The hollow segment of length L/3 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 is e, = 470 x 10-, what is the strain ɛ, in the solid part? Hint: The strain in the solid segment is equal to that in the hollow segment multi- plied by the ratio of the area of the hollow to that of the solid segment. (b) What is the overall shortening 8 of the bar? (c) If the compressive stress in the bar cannot exceed 48 MPa, what is the maximum permissi- ble 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

Chapter3: Torsion

Section: Chapter Questions

Problem 3.5.11P: -11 A solid steel bar (G = 11.8 X 106 psi ) of diameter d = 2,0 in. is subjected to torques T = 8.0...

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Question

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1.4-6) A circular aluminum tube with a lenth of
L- 420 mm is loaded in compression by forces P
(see figure). The hollow segment of length L/3 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
is ɛ, = 470 x 10-º, what is the strain ɛ, in the
solid part? Hint: The strain in the solid
is equal to that in the hollow segment multi-
plied by the ratio of the area of the hollow to
that of the solid segment.
segment
(b) What is the overall shortening 8 of the bar?
(c) If the compressive stress in the bar cannot
exceed 48 MPa, what is the maximum permissi-
ble value of load P?
L/3
Strain gage
-L = 420 mm
PROBLEM 1.4-6

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