The homogeneous plate ABCD is subjected to a biaxial loading asshown. It is known that \sigma_z=\sigma_o and that the change in length of the plate in

e1s2kat26 2021-03-28 Answered

The homogeneous plate ABCD is subjected to a biaxial loading asshown. It is known that σz=σo and that the change in length of the plate in the x direction must be zero, that is ϵx=0. Denoting E the modulus of elasticity and by v Poisson's ratio, determine (a) the required magnitude of σx, and (b) the ratio σoϵz
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gotovub
Answered 2021-03-30 Author has 98 answers
a) Strain in x-direction, ϵx=σxEVσzE
But given, ϵx=0,σz=σo
ϵxEVσoE=0
Then find σx
b) Strain in Z-direction, ϵZ=σZEVσxE
ϵZ=σ0EVσxE
Then find σ0ϵz
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