Page 273 - Mechanical Behavior of Materials
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274 Chapter 6 Review of Complex and Principal States of Stress and Strain
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the x-direction of θ = 60 and 120 . Develop equations that allow ε y and γ xy to be calculated
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from the available measurements, ε x , ε 60 , and ε 120 , so that the in-plane state of strain, ε x , ε y ,
and γ xy , is completely known.
6.58 By modifying the equations for stress, develop equations for the normal and shear strains on
the octahedral plane, ε h and γ h . Express these in terms of the components of a general three-
dimensional state of strain: ε x , ε y , ε z , γ xy , γ yz , γ zx . What is the significance of ε h ? Under
what conditions is the octahedral plane for strain the same as the one for stress?
