Solutions 7

Solutions 7 - 7-18 It the force P = 8)lh determine the...

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Unformatted text preview: 7-18. It the force P = 8()()lh. determine the maximum p p . . .. . . 200|bft shear stress In the beam at the critical section. lhe supports at A and B only exert vertical reactions on the beam. - 3ft -- ()t't - 3ft - Suppon Rucuou: As shown on FBDL Internal Star Force: As shown on Sher diagram V.“ I 900 b. Sutton Properties: . liA . 2.75(2.S)(3)+0.7$(6)( 1.5) n 15(3)+6(L5) 31.65910. I,“ - T'zmu’) +3(2.5)(2.7s- 1.6591)’ +1—12(6)(15’) 4-6(t.$)(l.t$59t-0.7.$)a .213514 in‘ a.“ - 9w - n.17045(2.3409)(3)- 3.219: in’ Maximum Shut Strut: Mnximum shear stress occurs udupointwhaedncmtnluis puses «magnum Applying the shear funnel: .392. .Wwaspsi Ans "" I: 2mm» 7-25. The beam is made from three boards glued together at the seams A and B. If it is subjected to the loading shown, determine the maximum shear stress developed in the glued joints. The supports at C and D exert only vertical reactions on the beam. K0: 37-5” (atCorD). l 3 l 3 .4 l=-——6 ll -—4 8 =494. 3 12()( ) 12(X) 8 m QA = Q. =§'A'= (4+3-2'3x6x15) = 42.75 in’ ‘4 V0 7.5(10’x42.75) f. = — = -——-———- = 1 494.830) 324 psi Ans 5km smp 5 kip — Lia—L D 4 ft 3 ft 4 ft 1.5 ft 1.5 ft A. 6 in. 1.5 in. L l l A? 8 in. 2 in/ l_L B *7—28. Determine the maximum shear stress acting in the fiberglass beam at the critical section. 200 ll) ft 150 lb lit S upper: Reactions: As shown on FBD. Internal S hear Force: As shown on shear diam. V.m a 878.57 lb. Section Properties: ~ (v 11 -- . ~ 0 fl * _ 1 I l a . 2n 1». 75000.5 )--l-5(3.5)(6 ) 277.625 m‘ j in; 0.75 in. Q. :2?” 08 I = 3.375(4)(o.75)+ 1.50) (0.5) a 12.375 tn’ ( i . ()5 in. m in Maximum Shear Stress: Maximum shear stress occur: I at the point where the neutral axis passes through the section. ‘ . - Applying the shear formula 4 In. 0.75 in. t.“ = V0.4 It 878.57 [2.37 a —————_( 5) a 280 psi Ans 77.625 (0.5) ...
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This note was uploaded on 05/04/2009 for the course CEE 108 taught by Professor Staff during the Winter '07 term at UCLA.

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Solutions 7 - 7-18 It the force P = 8)lh determine the...

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