# answerschapters5and6 - Answers to Chapters 5 and 6 8 > Pb >...

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Answers to Chapters 5 and 6 5.1) V ( x ) = 8 > > > < > > > : Pb L ; 0 < x < a ° Pa L ; a < x < L ; M ( x ) = 8 > > > < > > > : Pbx L ; 0 < x < a Pa ( L ° x ) L ; a < x < L 5.4) V ( x ) = w ( L ° x ) ; 0 < x < L; M ( x ) = ° w 2 ( L ° x ) 2 ; 0 < x < L; j M j max = wL 2 2 5.20) ° = j M j S = 51 : 6 MPa 5.51) (a) V ( x ) = ° 2 L ± w 0 sin ° ±x 2 L ± ; M ( x ) = ° 4 L 2 ± 2 w 0 h 1 ° cos ° ±x 2 L ±i ; j M j max = 4 L 2 ± 2 w 0 5.56) ° = j M j S = 9 ksi 5.61) ° max = j M j max S = 38 : 7 MPa 5.67) b = 2 : 95 in. 5.75) S min = j M j max ° all = 413 : 4 ± 10 3 mm 3 ; Lightest S-section S 310 ± 47 : 3 (@ 47.3 kg/m) 5.85) Top: (Ten,Comp) = ( 7 : 01 ; 7 : 89 ) kips, Bottom: (Ten,Comp) = ( 8 : 51 ; 38 : 3 ) kips, P = 7 : 01 kips 6.2) q = V Q I ; F nail = qs; V = F nail I Qs = 325 : 9 lb 6.7)
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Unformatted text preview: I ; F nail = 1 2 qs; ² bolt = F b o lt A b o lt = 9 : 94 ksi 6.24) ² max = V Q Ib = 3 : 00 ksi 6.30) q = V Q I = 44 : 86 lb/in. ; F nail = qs; s = 1 : 672 in. 6.32) (a) ² = V Q Ib = 59 : 9 psi, (b) ² = V Q Ib = 79 : 8 psi 6.44) q = V Q I = 89 : 888 lb/in., d bolt = 0 : 371 in. 1...
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