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 Mowhich causes the stress at the outer fibers to become σy=36ksi. Determine the radius of curvature of the beam and the maximum slope and deflection. 1.) Moment – curvature relationshipinEcEIIcEIMyyo78.402736)5)(10(0.291113===⇒==σρσρρ2.) Slope and elastic curve EId2vdx2=M(x)EId2vdx2= −MoEIdvdx= −Mox+C1EIv=−Mox22+C1x+C23.) Boundary Conditions
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