homework1

homework1 - on all four edges (e) corner forces 1 PROBLEM 2...

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2.081J/16.230J Plates and Shells Homework #1 Due date: C la ss on Tuesday February 21 PROBLEM 1 Consider a square plate subjected to a certain type of loading. Under this loading, the plate assumes a shape of a paraboloid: M ¡ ¢ 2 2 w = 2 D (1 + ν ) x + y where M is the applied edge moment, D is the bending rigidity of the plate, and ν is the Poisson ratio. y y x a a 0 x Determine: 1. (a) components of the curvature tensor, κ αβ (b) components of the bending moment tensor, M αβ (c) shear force vector, Q α (d) bending moments and shear forces
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Unformatted text preview: on all four edges (e) corner forces 1 PROBLEM 2 Consider the "anticlastic" de fl ection pro fi le of the plate given by: M ¡ ¢ 2 2 w = − 2 D (1 − ν ) x − y Answer the questions (a) through (e) of the Problem 1. PROBLEM 3 Derive equations of equilibrium of the plate from the free body diagram, shown below: q 2...
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This note was uploaded on 11/07/2011 for the course AERO 16.21 taught by Professor Dffs during the Fall '10 term at MIT.

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homework1 - on all four edges (e) corner forces 1 PROBLEM 2...

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