L21 - Ch9 Deflection of Beams Last class Develop M(x) for...

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Unformatted text preview: Ch9 Deflection of Beams Last class Develop M(x) for section AB Integrate differential equation twice and apply boundary conditions Find reaction forces/moments derive differential equation for elastic curve using . ( ) 2 2 d y EI M x dx = Ch9: Deflection of Beams Method of Superposition Principle of Superposition: linear combination of the deformations from the individual loadings Procedure is facilitated by tables of solutions for common types of loadings and supports . For the beam and loading shown, determine the slope and deflection at point B . y c c y B c y B = y C + C L 2 B = C For the beam and loading shown, determine the slope and deflection at point B . Superpose the deformations due to Loading I and Loading II Loading I ( ) EI wL I B 6 3 = ( ) EI wL y I B 8 4 = Loading II ( ) EI wL II C 48 3 = ( ) EI wL y II C 128 4 = In beam segment CB, the bending moment is zero and the elastic curve is a straight line. zero and the elastic curve is a straight line....
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This note was uploaded on 12/14/2010 for the course ENGR 2530 taught by Professor Lindaschadlerfeist during the Fall '08 term at Rensselaer Polytechnic Institute.

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L21 - Ch9 Deflection of Beams Last class Develop M(x) for...

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