Consider a composite material plate of dimensions 0 lessthanorequalto x lessthan

Question

Consider a composite material plate of dimensions 0 lessthanorequalto x lessthanorequalto a, 0 lessthanorequalto y lessthanorequalto b, of thickness h, composed of an E Glass/epoxy, which is modeled as being simply supported on all four edges. It is part of a structural system, which is subjected to a hydraulic load as shown below. The load is p(x, y) = rho y where rho is the weight density of the water. To utilize the Navier approach determine B_mn which is given by B_mn = 4/ab integral_0^a integral_0^b p (x, y) sin (m pi x/a) sin (n pi y/b) dy dx. At what value of x will the maximum deflection occur? At what value of x will the maximum stress sigma_x occur?

Explanation / Answer

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