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375_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 375_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 4.5 Shear-Force and Bending-Moment Diagrams 369 Problem 4.5-21 The two beams below are loaded the same and have the same support conditions. However, the location of internal axial, shear and moment releases is different for each beam (see figures). Which beam has the larger maximum moment? First, find support reactions, then plot axial force (N), shear (V) and moment (M) diagrams for both beams. Label all critical N, V & M values and also the distance to points where N, V &/or M is zero. (a) L 2 L 2 L 4 L 4 B PL Moment release PL A C D A y A x M Az C y P 4 3 Shear
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Unformatted text preview: Axial force release (b) L 2 — L 2 — L 4 — L 4 — B PL Moment release PL A C A y A x M Az C y P 4 3 Shear release Axial force release D y D x D D y D x N V M –2P/ 5 3P/5(tension) –PL 2P/ 5 –PL/10 Solution 4.5-21 Support reactions for both beams: M Az ± 0, A x ± 0, A y ± ± These two cases have the same maximum moment ( PL ) (Both beams have the same N , V and M diagrams) ; D x ± 3 5 P ( rightward) C y ± 2 5 P ( upward), D y ± 2 5 P ( upward) 04Ch04.qxd 9/24/08 4:24 AM Page 369...
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