Prob 7_85 - Moment Then(a(C w PROBLEM 7.85 For the beam and...

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Unformatted text preview: Moment: Then (a) (C) w PROBLEM 7.85 For the beam and loading shown, (a) write the equations of the shear and bending-moment curves, (2)) determine the magnitude and location of the maximum bending moment. SOLUTION Distributed load w = w0 [1—ij [Total = lWOLj L 2 ,4— QEMA=0: 5 lwoL ~LB=O B=Ml “‘3' 3 2 6 I : v . ,_ 5.1+ $217 :0: A —leL+WLL=o A =WLL$ ”'7’“ l “ y y 2 6 y 3 l 3 .ob‘l/s'tJ; L" Shear: VA = Ay = M 3 Then 911 —w —> V dx x X —VA — Io w0[1—Zjdx V: M —w0x+lflx2 3 2 L 1 x l x 2 = 0 L ____ _ _ 3 L 2 L Note: At x = L V _ _ woL 6 2 V = 0 at i — 2 i + 3 L 3 L 3 W“—*———‘——-———-—_] PROBLEM 7.85 (Continued) MA=0 [%]=V +M= LXde=LfLVdoEJ MWeEIiié—aétz—fldo WléEl-él-i—HGT] 1 3 at £21— L Mmax [ j: 0.06415W0L2 V=woL[l—£+1 (—2—) [32+ (all < Mmax = 0.0642 wolf 4 l M = woL2 [~ 1 2 1 3 6 at x = 0.423L 4 ...
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