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642_Mechanics Homework Mechanics of Materials Solution

642_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 5.168 Draw the shear and bending-moment diagrams for the beam and loading shown, and determine the maximum absolute value (a) of the shear, (b) of the bending moment. PROBLEM 5.168 SOLUTION GEM; = o — 3.2 R. + (Laxaamo) —Lo.s)(2n .= o R; = ”‘2. k“ 02%. = o 3-2 9:. -(1.6)(s.2)(So)-(4.o)(2n = o R; = 78 W Shea»: VA = 1+2 kid V5: #2 -(3.23(30) = - .54 w V3 = n5"! + '78 = 24 kw c. +9 13 V 2‘: kn. ‘l Loca’te Poin't T) when V= 0 d . - q; = if 9651 = mm 5|: I.4M 3.2-d=1.8w\ Areas Under shear diagram A +0 D 5V4»: = (-E'MLHSQM = 20m “John D+° C Svolx = (-39.2)(54) =—‘!8-G W-m c2438 Svaty = (0.8)(2‘1) = 19.2 lad-m Bending momen+<3 MA 7: 0 Mb 2 O 4- 2‘7.” =- 214 kU-m Mc = 214—484: —: 49.2 ku-m M3 = I‘LZ - I‘LR 3' O (Jacks Maximum N‘ " 5‘! kid Maximum \M\ = 21‘? mm. ...
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