Unformatted text preview: (b) a two-parameter trigonometric Ritz approximation. Problem 3 Consider the Ritz method applied to a Timoshenko beam fixed at both ends and subjected to a uniform distributed load. (a) What are the admissiblity requirements for the approximations of the deflection v ( x ) and the rotation ψ ( x ) ? In other words, what are the smoothness requirements, and what boundary conditions must be satisfied. (b) Use a one-parameter polynomial Ritz approximation for each of the unknowns v ( x ) and ψ ( x ) , and solve for the approximate deflection and rotation of the beam. 1...
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- Fall '04