For (a) write [Nx; Ny; Ns] matrix in the form of [A] and [B] matrices with the curvatures and the reference plane strains for (c) the force N_(x) for a ( heta )/(-) heta laminate in terms of E_(1) and t for E_(1) ≫ E_(2) and heta = 45deg show that it will take the form N_(x) = ((1)/(2)) E1 t epsilon _(x)^(o) + ((1)/(2)) * E1 * t * epsilon _(y)^(o) + ((1)/(4)) * E1 * t^(2) * B_(xs) kappa _(s) (PS: not sure if Bxs is negligible or not) (will an antisymmetric angle ply laminate with Q xs( heta )^k = -Q xs( heta )k' make the Bxs negligible or it will be just like above) for (b) Express A_( imes), A_(xy), and B_( imes) in terms of transformed lamina stiffnesses (Q_( imes), Q_(xy), Q_(yy), Q_(xs)) of the heta-ply and the ply thickness t. such as Axy = 2 Qxy (Thetha) * t. Could you do it with calculations (hand calculations preferable) step-by-step
(a) Show that the force N. for a [0/-0] laminate takes the form N, = AE + AxE + BxK
(b) Express Axx, Axy, and Bxr in terms of transformed lamina stiffnesses (Qxx, Qxy, Qyy, Qxs) of the 0-ply and the ply thickness t.
(c) Obtain an approximate relation between N, and e, e,, and K, in terms of E, and t for E, > E2 and 0 = 45.
