A 3 m long hollow circular tube made from aluminium with an outside diameter 200 mm and a wall thickness of 10 mm is filled with a polymer matrix. It is subjected to a tensile axial force of 500 kN acting uniformly over the entire cross-sectional area of the filled tube. If the elastic modulus of the aluminium is E₂=75 GPa, and of the matrix is Em 15 GPa, calculate the normal direct tensile stresses acting on the two materials and the extension of the tube. Which of the following answers is correct? O The tensile stress in the aluminium is ten times larger than the tensile stress in the matrix The tensile stress in the aluminium is 45.2 MPa and the extension of the tube is 1.8 mm. The tensile stress in the matrix is 19.1 MPa and the extension of the tube is 3.1 mm. The tensile stress in the matrix is 40.5 MPa and the extension of the tube is 2.5 mm. The tensile stress in the aluminium is 54.7 MPa and the extension of the tube is 0.8 mm.

A 3 m long hollow circular tube made from aluminium with an outside diameter 200 mm and a wall thickness of 10 mm is filled with a polymer matrix. It is subjected to a tensile axial force of 500 kN acting uniformly over the entire cross-sectional area of the filled tube. If the elastic modulus of the aluminium is E₂=75 GPa, and of the matrix is Em 15 GPa, calculate the normal direct tensile stresses acting on the two materials and the extension of the tube. Which of the following answers is correct? O The tensile stress in the aluminium is ten times larger than the tensile stress in the matrix The tensile stress in the aluminium is 45.2 MPa and the extension of the tube is 1.8 mm. The tensile stress in the matrix is 19.1 MPa and the extension of the tube is 3.1 mm. The tensile stress in the matrix is 40.5 MPa and the extension of the tube is 2.5 mm. The tensile stress in the aluminium is 54.7 MPa and the extension of the tube is 0.8 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 7.7.15P: A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded...

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