04-01ChapGere.0002

04-01ChapGere.0002 - 260 A-PDF Shear Forces and Purchase...

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Problem 4.3-3 Determine the shear force V and bending moment M at the midpoint of the beam with overhangs (see figure). Note that one load acts downward and the other upward. Solution 4.3-3 Beam with overhangs 260 CHAPTER 4 Shear Forces and Bending Moments P P b b L 5 P ¢ 1 1 2 b L Ê (upward) R A 5 1 L [ P ( L 1 b 1 b )] © M B 5 0 Free-body diagram ( C is the midpoint ) M 5 PL 2 1 Pb 2 Pb 2 PL 2 5 0 M 5 P ¢ 1 1 2 b L ¢ L 2 2 P ¢ b 1 L 2 © M C 5 0: 5 2 bP L V 5 R A 2 P 5 P ¢ 1 1 2 b L 2 P © F VERT 5 0: © M A 5 0: Ê R B 5 P ¢ 1 1 2 b L Ê (downward) P P b b L AB R A R B P b L/2 AC R A V M Problem 4.3-4 Calculate the shear force V and bending moment M at a cross section located 0.5 m from the fixed support of the cantilever beam AB shown in the figure.
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