PROBLEM 1 A circular aluminum tube of L=600mm is loaded in by compressive forces at its ends. The outside and inside diameters are 75mm and 63mm respectively. A strain gage is placed on the outside of the tube to measure nomal strains in the longitudinal direction. E=73 GPa and Poisson’s is 0.33. If the normal stress in the tube is 57 MPa, what is the load P? if the strain is 781 X 10-6, what is the shortening of the tube? What is the percent change in its cross-sectional

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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PROBLEM 1

A circular aluminum tube of L=600mm is loaded in by compressive forces at its ends. The outside and inside diameters are 75mm and 63mm respectively. A strain gage is placed on the outside of the tube to measure nomal strains in the longitudinal direction. E=73 GPa and Poisson’s is 0.33.

  1. If the normal stress in the tube is 57 MPa, what is the load P?
  2. if the strain is 781 X 10-6, what is the shortening of the tube? What is the percent change in its cross-sectional

 

PROBLEM 2

If the tube in Problem #1 has a constant outer diameter of 75 mm along its entire length but has increased in inner diameter with a normal stress of 70 MPa over the middle third while the rest of the tube remains at 57 MPa and an additional the load of 15 kN is applied to the left at a point L/3, what is the inner diameter at the middle third if an additional load of 15kN is applied directed to the left at a point L/3 from the left, what is the inner diameter at the middle third.

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