A thin-wall tube, made of a unidirectional graphite/epoxy lamina with a fiber direction 0 to its axis, is loaded in torsion (Tr) as shown in the figure. Use the Max Stress, Max Strain, Modified Tsai-Hill, Tsai-Wu and Hashin-Rotem failure criteria, to sketch the ultimate value of tr as a function of the fiber orientation angle 0 (0°<0<180°). Indicate the failure modes regions. Given that: (G=985Mpa ; (o= 690Mpa ; (o) = 29Mpa ; (o) =98Mpa ; (r2)= 49Mpa E, = 294GPA ; E, = 6.4GPA ; G, = 4.9GPA ; v =0.23GPA ; v = 0.01GPA !3! %3D %3D Act

A thin-wall tube, made of a unidirectional graphite/epoxy lamina with a fiber direction 0 to its axis, is loaded in torsion (Tr) as shown in the figure. Use the Max Stress, Max Strain, Modified Tsai-Hill, Tsai-Wu and Hashin-Rotem failure criteria, to sketch the ultimate value of tr as a function of the fiber orientation angle 0 (0°<0<180°). Indicate the failure modes regions. Given that: (G=985Mpa ; (o= 690Mpa ; (o) = 29Mpa ; (o) =98Mpa ; (r2)= 49Mpa E, = 294GPA ; E, = 6.4GPA ; G, = 4.9GPA ; v =0.23GPA ; v = 0.01GPA !3! %3D %3D Act

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

A thin-wall tube, made of a unidirectional graphite/epoxy lamina with a fiber direction 0
to its axis, is loaded in torsion (Tr) as shown in the figure. Use the Max Stress, Max Strain,
Modified Tsai-Hill, Tsai-Wu and Hashin-Rotem failure criteria, to sketch the ultimate
value of tr as a function of the fiber orientation angle 0 (0°<0<180°). Indicate the failure
modes regions. Given that:
(G=985Mpa ; (o= 690Mpa ; (o) = 29Mpa ; (o) =98Mpa ; (r2) = 49Mpa
E, = 294GPA ; E, = 6.4GPA ; G, = 4.9GPA ; v =0.23GPA ; v = 0.01GPA
%3D
%3D
Act

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