ME 211 Homework 13 Solutions - ME 211 Homework Set#13...

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ME 211 Homework Set #13 Solutions 12-5-2008 Problem #1 16.35 The A-36 steel beam has a depth of 10in. and is subjected to a constant moment M o which causes the stress at the outer fibers to become σ y =36ksi. Determine the radius of curvature of the beam and the maximum slope and deflection. 1.) Moment – curvature relationship in Ec EI I c EI M y y o 78 . 4027 36 ) 5 )( 10 ( 0 . 29 1 1 1 3 = = = = = σ ρ σ ρ ρ 2.) Slope and elastic curve EI d 2 v dx 2 = M ( x ) EI d 2 v dx 2 = − M o EI dv dx = − M o x + C 1 EIv = M o x 2 2 + C 1 x + C 2 3.) Boundary Conditions
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