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347_Mechanics Homework Mechanics of Materials Solution

347_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 4.69 4.69 Knowing that M = 250 N11], detennine the maximum stress in the beam shown when the radius r of the fillets is (a) 4 mm, (b) 8 mm. SOLUTION = 71313113 = flame)" = #2, 667 Main," = 42,447 :10— 7m“ = 20 mm = o.ozom I c P. d K= l.87 _ (I-87X250)§o.020) __. 0r- : d ‘ l+2.6e7x¢o- 2mm Pa. 21°: MP0. From F13. ”a?” LEG. r76xxlo‘ Pa = :76 MP4, 4.70 Knowing that the allowable stress for the beam shown is 90 MP3, determine the allowable bending moment M when the radius r of the fillets is (a) 8 mm, (b) 12 mm. SOLUTION I = 71:?th = n(2)(uo)3= 42.x? xlosmi = 41667404..." 20 mm = 0.020 m 0 - 30:2: 1- m Fm“: B3- LL?” K": L50 = 6...“: w (qoxlo‘WCLMAéHIO'ql KC. - (l.503(o.020) = I28 N-m FV‘OM Fin LL3| K7 LSS' M_ (eoxto‘lGMxJ x104) _ HZ N-v». - assume») ‘ ...
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