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The homogeneous plate ABCD is subjected to a biaxial loading as shown that σz. = σ0 and that the change in length of the plate in the x direction must be zero, that is, ϵx = 0.Denoting by E the modulus of elasticity and by v Poisson's ratio, determine (a) the required magnitude of σx, (b) the ratio σ0/ϵz

Question-Answer › Category: Strength of Materials › The homogeneous plate ABCD is subjected to a biaxial loading as shown that σz. = σ0 and that the change in length of the plate in the x direction must be zero, that is, ϵx = 0.Denoting by E the modulus of elasticity and by v Poisson's ratio, determine (a) the required magnitude of σx, (b) the ratio σ0/ϵz
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GME asked 11 months ago

The homogeneous plate ABCD is subjected to a biaxial loading as shown that σz. = σ0 and that the change in length of the plate in the x direction must be zero, that is, ϵx = 0.Denoting by E the modulus of elasticity and by v Poisson’s ratio, determine (a) the required magnitude of σx, (b) the ratio σ0/ϵz

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Mazurek Gravity answered 11 months ago

 

 

 

Step No: 1

We are given that



 

Step No: 2

We know that strains in x and z directions are given by

 

Step No: 3

From (1) by putting



Therefore required magnitude is 

 

Step No: 4

We put,  in equation (2),
So we have




Thus the required ratio is 

 

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