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Unformatted text preview: Method ME221 Lecture 15 5 V M V M Sign Convention Positive Shear and Positive Moment ME221 Lecture 15 6 Positive Shear M M Positive Moment Effect of External Forces ME221 Lecture 15 7 Relations Between w , V , and M In balancing forces, we can come up with differential equations relating w , V , and M . These are as follows: ( 29 ( 29 ( 29 ( 29 , dM x dV x V x w x dx dx = = This means you can integrate the shear diagram to obtain the moment diagram. dx M+dM M V V+dV w ( x ) ∑ = + +⇒ = ) ( ) ( dx x w dV V V F ) ( = ++ ⇒ = ∑ dM M Vdx M M Thus, ME221 Lecture 15 8 Shear Forces • Area under load curve ∫ = x du u w x V ) ( ) ( ME221 Lecture 15 9 Bending Moments • Area under shear force curve ∫= x du u w u x x M ) ( ) ( ) (...
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This note was uploaded on 07/25/2008 for the course ME 221 taught by Professor Buch during the Summer '08 term at Michigan State University.
 Summer '08
 Buch
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