Problem 4.3-7The beam ABCDshown in the figure has overhangs at each end and carries a uniform load of intensity q. For what ratio b/Lwill the bending moment at the midpoint of thebeam be zero?Solution 4.3-7Beam with overhangs262CHAPTER 4Shear Forces and Bending MomentsqbbLDABCFrom symmetry and equilibrium of vertical forces:RB5RC5q¢b1L2≤Free-body diagram of left-hand half of beam:Point Eis at the midpoint of the beam.Solve for b/L:bL5122q¢b1L2≤¢L2≤1q¢12≤
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