structures with dist loads

structures with dist loads - Topics Equilibrium Examples...

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Unformatted text preview: Topics Equilibrium Examples Multiple FBDs Distributed Loads MATLAB solutions Book Sections 3/1-3/4 4/6 5/6 Loads distributed along a line x y Let w(x) =force/unit length x y dx w(x) 1 x 2 x Then the resultant force, R is ( 29 2 1 x x R w x dx = ∫ And the location of the resultant is found from Area under loading curve ( 29 ( 29 ( 29 2 1 2 1 2 1 x x x x x x Rd xw x dx xw x dx d w x dx = = ∫ ∫ ∫ R d Location of centroid of loading distribution L Uniform load w R=w L L/2 Linear increasing load w L R=w L/2 L/3 distributed load example 0.3 m 0.3 m 400 N/m 800 N/m 60 o 75 o 0.3 m 0.3 m A B C D E Determine the reaction forces acting on the frame at A and E. All pins and surfaces are smooth. 6-62 0.3 m 0.3 m 400 N/m 75 o B C D E A x A y R 400 N/m (1) (2) R 1 R 2 0.3 m d 30 o 0.2 m 0.1 m ( 29 ( 29 ( 29 ( 29 ( 29 400 0.6 0.5 400 0.6 240 120 360 R N = + = + = ( 29 ( 29 ( 29 ( 29 1 1 2 2 1 2 240 0.3 20 0.4 240 120 0.333 R d R d d R R m + = + + = + = ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 cos30 0.6 sin30...
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This note was uploaded on 10/17/2011 for the course EM 274 taught by Professor Boylan during the Fall '08 term at Iowa State.

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structures with dist loads - Topics Equilibrium Examples...

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