Quiz09_sol

# Quiz09_sol - QUIZ 9 SOLUTIO S Monday 11/10/08 Find the...

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QUIZ 9 SOLUTIO&S Monday 11/10/08 Find the moment and shear force equations for the beam of length l loaded at its center by the couple C . Draw the shear and moment diagrams. Make a free-body diagram: Sum of forces and moments: 0 = + = B A F y b A = - B 0 , = = C Bl M A b C = lB Solving: A = - C/l and B = C/l The shear diagram follows the relation w = - dV / dx (note no distributed load so w = 0) and equation ( ) l C l x V / 0 = < < . At x =0, the reaction at A contributes a shear force of – C/l and there are no more loads until at x = l where the reaction at B contributes a shear force of + C/l . The moment diagram follows the relation V = dM / dx and the equations x l C l x M = < < 2 0 and C x l C l x l M + = < < 2 . The moment is the derivative of the shear load but there is a discontinuity from the couple C at x = l /2.

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QUIZ 9 SOLUTIO&S Tuesday 11/11/08
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## This note was uploaded on 01/25/2009 for the course EM 306 taught by Professor Rodin during the Fall '07 term at University of Texas.

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Quiz09_sol - QUIZ 9 SOLUTIO S Monday 11/10/08 Find the...

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