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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 P ¢ 1 2 b L (upward) R A 1 L [ P ( L b b ) ] © M B 0 Free-body diagram ( C is the midpoint ) M PL 2 Pb Pb PL 2 0 M P ¢ 1 2 b L ¢ L 2 P ¢ b L 2 © M C 0: 2 bP L V R A P P ¢ 1 2 b L P © F VERT 0: © M A 0: R B P ¢ 1 2 b L (downward) P P b b L A B R A R B P b L/2 A C 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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