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749_Mechanics Homework Mechanics of Materials Solution

749_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 6.93 The built-up timber beam shown is subjected to a 6-kN vertical shear. PROBLEM 6-93 Knowing that the longitudinal spacing of the units is s = 60 mm and that each nail is 90 mm long, determine the shearing force in each nail. SOLUTION .I.= we AA? = ‘42- (5omooi3 + (50)(|oa3(7531 = 32.2cr2uto‘ m.“ I: = 7151M = {5(503050)’ = H.0625x 10‘ mm’ 92.71210“ m“ 375x103 Mm: = 375xI0-‘ m3 ‘lr = YIB ”W = 24.27wo’ W». s=eom= Garld‘m 2 F...” e ‘is Fin = % s *-&(2H.a7uo3)(souo"l= 728 N 4 6.94 The built-up beam shown-was made by gluing together several wooden planks. Knowing that the beam is subjected to a 1200-lb vertical shear, determine the average shearing stress in the glued joint (a) at A, (b) at B. PROBLEM 6.94 15 0.8 0.8 15 ﬂ l‘”‘-’I I"_’| _4L SOLUTION 0.8 I = 2 [ ra-(asmm’ + .Jz-(vxast’ + (vitaaituxﬂ 0-8 = 60.143 tn" Dimensionsininches (CL) Am: (Lgxoﬁ) _-, L2 int 3": 2.0 In. Qt: Asia '- 2" ins e _ 1200),“) _ . ”rum * 5‘1"?“ “2) Ab : (q)(0.8) 3 3.2 I'llz 35".: 2.0 in. Q5: Asyb=(3.2)(2.o) = 6.4 in“ t5 '-' (2)(O.8) '-' L6 in. 11= V0. _ (Izoo)§a.4) = TE: -(GO-H3)([,6) 73.8 Psi --I ...
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