Question

Subject Composite Materials

Please Derive σ22 and σ12 ( Please refer picture). There was an example of σ11. Based on the reference. Please solve σ22 & σ12.

Stress-Strain Relations for Arbitrary Orientation of a Lamina Stress Transformation We use tesors transfer stresses between the two coordinate syslems a) Transformation of coordin P(x,y x1 -Material coordinate system x-y Reference coordinate system Example: i-1 Consider a point P(x,y), its coordinates in x x2 system is P(x,y) Similarly we can establish the other two stress components Finally we can write 0 P(x,y) or h] Γ. CasB Sim@1(x or Direction cosine matnx α, where i = 1,2 and j = X, y Ta]is the stress transformation matrix. Tou could use this Direction Cosine Matrix to Transform Displacements and Forces. 24

Answer 1

Gi

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