HomeWork8

# HomeWork8 - HW#8 A rectangular plate of dimension a and b...

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HW#8 A rectangular plate of dimension a and b is clamped on all four edges. The plate is subjected to a uniformly distributed load of 0 q . Using the deflection equation of both ends clamped beam for the assumed plate deflection equation, ( 29 ( 29 ( 29 ( 29 ( 29 2 2 2 2 11 , w x y f x g y w x x a y y b   = = - -   , develop the plate deflection equation. If a=b , find the maximum deflection at the center of the plate and compare with other classical solution. The assumed deflection function satisfies GBC’s (there are only GBC’s in this problem). As this one term deflection function assumed is not the exact solution, somewhat greater values (upper bound solution) for the deflections are expected as a consequence of the minimum total potential energy principle used. ( 29 ( 29 ( 29 ( 29 2 2 2 2 4 3 2 2 4 3 2 2 11 11 2 2 w w x x a y y b w x ax a x y by b y   = - - = - + - +   ( 29 ( 29 3 2 2 4 3 2 2 11 4 6 2 2 w w x ax a x y by b y x = -

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## This note was uploaded on 09/24/2011 for the course CIVL 7690 taught by Professor Staff during the Summer '10 term at Auburn University.

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HomeWork8 - HW#8 A rectangular plate of dimension a and b...

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