mm mm mm °C-1 mm 3. For your data from Homework 4 Problem 3, what would the mid-plane strain and curvature be if the two

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Mm Mm Mm C 1 Mm 3 For Your Data From Homework 4 Problem 3 What Would The Mid Plane Strain And Curvature Be If The Two 1 (110.13 KiB) Viewed 63 times

mm mm mm °C-1 mm 3. For your data from Homework 4 Problem 3, what would the mid-plane strain and curvature be if the two laminated composites are subjected to a load of Nx=Ny=1000 N/m and subjected to a change in temperature from curing to service of -100 °C. You will need to calculate effective thermal expansion coefficients for each ply using the following equations: axx = 211 cose + a22Sinae dyy = Q 22cose + Quasin axy = 2cosesino (u1 - 422) The linear coefficient of thermal expansion for the first composite is: mm Q11 = -0.5E - 6 °C-1 mm mm 022 = 15E-6 C-1 mm The linear coefficient of thermal expansion for steel and aluminum are: a = 23.6E-6 C-1 Usteel = 11.7E-6 The thermal stress and moment resultants are calculated using the following expressions: NDX = AT or Žicē, Qax +ē, lyy tēry@sy)ache – hx-1)] Ny = 4T LC12Qxx + ZzzQyy + 726Qxy)x(hx - hx-1)] ka N5, = 27c7q0x2 +ēzsay +ē.comsy! Chek – hx-1)] Mix = 47/2X1C7,4x +ēsz4y + Zso Qxy)x (h– h-1)] M.y = 47/231C7128sx +ēzasy tēzgasy)uché – Hk-1)] M., = 47/2X.cēQxx +ēze@yy + Zoo Qxy)x(h– hk-1)] You then need to add the normal stress resultant to the thermal stress and moment resultant to get the stress and moment resultant to multiply by your ABD prime matrices. 11 12 k=1 22 k=1 16 26 66 12 4T 11 12 16 k=1 n = k=1 16 26 66 k=1