Problem 2 Consider the beam shown below subjected to bending due to a linearly varying pressure applied on y=h/2. Consid

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Problem 2 Consider The Beam Shown Below Subjected To Bending Due To A Linearly Varying Pressure Applied On Y H 2 Consid 1 (89.58 KiB) Viewed 10 times

Problem 2 Consider the beam shown below subjected to bending due to a linearly varying pressure applied on y=h/2. Consider this problem to be a 2-D plane stress problem. (a) Assume the Airy stress function p(x, y) is a polynomial in x and y. Find ø(x, y) with some undetermined constants in it. (Hint: assume o, = xf (y)). (b) Determine the stress components (and the undetermined constants of the Airy stress function) that satisfy the boundary conditions everywhere at y-th/2 and the statically equivalent conditions at x = 0, 7. Write all the boundary conditions. (c) What are the boundary conditions that are not satisfied pointwise (exactly at every point) by your solution? Approximately how far from the two beam ends at x = 0, 7 does the stress solution you derived is correct within a few percent? O y h/2h/2 l l >> h> 1 77777 1 h