Question

a simply supported beam is loaded by a uniformly distributed load of 200 lb/ft as shown in the figure. the cross section is made of many wooden pieces as shown. given that the lag screws to be used are ½ in in diameter and the allowable shear force in each lag screw is 500 lb, determine the longitudinal spacing required for lag screws at a and b. also, find the displacement and rotation at 5 ft.

10in NA. 4in Sin 200 lhift 20 fi

Answer 1

Given data

A simply supported beam is loaded by a uniformly distributed load of 200 lb/ft as shown in the figure

Answer i A uniformly distributed load - 2001b/pt- given that the lag screws to be used are 'l ih diameler. in Allowable shear force in each lag Screw = 500 lb. A KIJ sin sir zing fig: 2 from above figure i Vy 200 x 20 - yooo li Un = 2000 lb

200 lb lft : 20ft from fig. 2: Va=250x20-450 2 500+50 2 . Sošo Va= asas lb I=12*120)3 12 34 3x0)3 12 (613 12 3. You - 3000 - 4096 - 2 (2 E ( 32000-4096-409) 14 (23808) = 0.95 (23808) E 5952 in 4 I

For A Qi= my, = 4X2X8 Q = 64 h 3 (200 20A S = FXI VXQ S- 500 x 5952 2000 X64 2976000 - 128000 (for diagram) Se 23.25 in S: 39.23 in s = 18.416 in S: 18 in (for data)

For B: Q = 29, +42 --2X64+8x2x9 = 128 +144 Q = 2123 s = EXT VXG = 500x5962 2976000 540000 2000X272 - 5.410 on s =sim (for diagram s = S = 4.33 ih win (for dala)