Determine the elongation of an aluminium hollow cylinder of an inner diameter of 1.45 cm & the external diameter of 24.7 mm is subjected to an elastic tensile load of 251 kN. Take the elastic modulus of the aluminum specimen as 71 GPa and the initial length of the hollow cylinder as 198 mm. Solution:  Cross-sectional Area (in mm2) =   Stress-induced (in N/mm2) =  Strain-induced (at least 3 decimal places accuracy)=   Elongation (in mm) =

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter7: Analysis Of Stress And Strain
Section: Chapter Questions
Problem 7.7.1P: An element of material in plain strain has the following strains: x = 0.001 and y = 0.0015. (a)...
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Determine the elongation of an aluminium hollow cylinder of an inner diameter of 1.45 cm & the external diameter of 24.7 mm is subjected to an elastic tensile load of 251 kN. Take the elastic modulus of the aluminum specimen as 71 GPa and the initial length of the hollow cylinder as 198 mm.

Solution:

  1.  Cross-sectional Area (in mm2) = 
  2.  Stress-induced (in N/mm2) =
  3.  Strain-induced (at least 3 decimal places accuracy)
  4.  Elongation (in mm) = 
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