At a point on a steel part of landing gear (E = 200 GPa, v = 0.3, Oy = 225 MPa) subjected to a plane stress, a 60° rosette shown in the figure measures the strains e,=1200x10-6, eL=-650x10-6 and e=550x10-6. Determine, a) The principal strains and corresponding principal stresses, b) Determine if the point to fail according to the maximum-shear-stress theory and the maximum-distortion-energy theory, c) Explain why we need these failure theories in structural mechanics. B 60° C 60° 60°

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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At a point on a steel part of landing gear (E = 200 GPa, v = 0.3, oY = 225 MPa) subjected to a
plane stress, a 60° rosette shown in the figure measures the strains &=1200x106, v=-650x10-6
and &=550x10-6. Determine,
a) The principal strains and corresponding principal stresses,
b) Determine if the point to fail according to the maximum-shear-stress theory and the
maximum-distortion-energy theory,
c) Explain why we need these failure theories in structural mechanics.
В
60°
C
60°
A
60°
Transcribed Image Text:At a point on a steel part of landing gear (E = 200 GPa, v = 0.3, oY = 225 MPa) subjected to a plane stress, a 60° rosette shown in the figure measures the strains &=1200x106, v=-650x10-6 and &=550x10-6. Determine, a) The principal strains and corresponding principal stresses, b) Determine if the point to fail according to the maximum-shear-stress theory and the maximum-distortion-energy theory, c) Explain why we need these failure theories in structural mechanics. В 60° C 60° A 60°
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