B01 5. For a fiber reinforced lamina subjected to the stresses shown below (Figure 4) calculate the stress in the direct

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B01 5 For A Fiber Reinforced Lamina Subjected To The Stresses Shown Below Figure 4 Calculate The Stress In The Direct 1 (89.03 KiB) Viewed 20 times

B01 5. For a fiber reinforced lamina subjected to the stresses shown below (Figure 4) calculate the stress in the direction parallel and perpendicular to the fibers and the strain in the y-direction. The lamina has the following elastic constants: E1 = 50MPa, Ez = 15MPa, G12 = 3MPa and v12 = 0.4. Assume plane stress conditions. (Note: The equations below may be of use). $11 = S11 cost + Szz sint +(2512 +S66) sin? 8 cos20 522 = Szz cos* & +S11 sin* & + (2512 + S66) sin? 6 cos 512 = S12(cos* & + sin* 8) + (S11+522-566) sind e cos? 566 = 566(cost + sin* ) + (4511 + 4522-852-2566) sin? 8 cos20 $16 = (2511 - 2512-566) cos3 € sin - (2522 - 2512-566) sin cos e $26 = (2511 - 2S12-S66) sin 8 cos 8 - (2522 – 2512-S66) cos3 sin e = = 1.2 MPa L. 0.5 MPa 7 MPa 309 7 MPa 0.5 MPa 1.2 MPa Figure 4 [20 marks]