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Consider the two loading cases below. For each case, sketch the directions of the l'oads, the resulting axial strain distribution Ex through the thickness, and the axial stress distribution ax through...

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Consider the two loading cases below. For each case, sketch the directions of the l'oads, the resulting axial strain distribution Ex through the thickness, and the axial stress distribution ax through the thickness for the laminate
Answered Same Day Dec 21, 2021

Solution

Robert answered on Dec 21 2021
122 Votes
3)
a) From the Tsai-Hill Criterion at the failure surface we know that
(σ1^2/SL^2)-(σ1*σ2/ SL^2)+ (σ2^2/ST^2)+(τ12^2/SLT^2) = 1……………….(1)
Now for the off-axis uniaxial loading the stresses can be related with the applied stress σx as
σ1=σx*cos2θ
σ2=σx*sin2θ
τ12= - σx*si nθcosθ
Now putting the above in eq. 1 we get
(σx*cos2θ)^2/SL^2 –( σx*cos2θ* σx*sin2θ/SL^2)+(...
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