test2 - Quiz #3 November 16, 2001 Name _ x P c L [40...

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Quiz #3 November 16, 2001 Name ___________________________________________________________ [40 points] 1. A simply supported beam of length L, second moment of area I, Young’s modulus E and Poisson’s ratio ?, carries a load P at a distance c away from its left end. Obtain the beam deflection at the point where ‘P’ is applied, that is, at x=c using Rayleigh Ritz method (only bending stresses and strains are accounted for). Assume a deflection curve of v(x)= a 1 x(L-x). x P c L
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Quiz #4 December 14, 2001 Name ___________________________________________________________ [33 points] 1. The vertical deflection ‘y’ measured in feet of a cantilever beam subject to a uniform load as shown in the figure is modeled by 2 4 2 2 ) 18 ( 10 x dx y d - = - . where ‘x is given in feet and the length of the beam is 18 ft. Solve the problem for the deflection at the free end (x=18 ft) using finite difference methods using any applicable second order approximations and applying the boundary conditions. The length of the beam is divided into three equal sections with
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test2 - Quiz #3 November 16, 2001 Name _ x P c L [40...

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