Question

Problem 1: The truss shown is one of several supporting an advertising panel. Using the method of joints, determine the force in each member of the truss for a wind load equivalent to Do SO0 N 3,75 m the forces shown. State whether each member is in tension or compression. S00 N 3.75 m C 2 m

Answer 1

Page Foier body diagsiam N O08 3.75m 800N 3.75m AF Ay e angle Noco, CalCulate the tan 7.5 m a8 o about F, moments aie EMp -(Ay) (4m) 800N) (3.75m)+ (800N) (7.5m)=o Ay aa 5o N 4

Page No. a horizantas Consider the orces acting aomg diutectfon the EF=O F-C800N- (Go0 N 1600 N Consider the foces acing along distecion the vesutical AyFyo -Ay aa 5o N At jomtD, oiee body diaguam is^- 800N Foe FDE Figuse Cb)

Prge No. hosigontal Consides he foces actinga oction the -Bo0) FDe Sine = c Put 89.0 -(800)- Fos Sin ag.0- 008 Sin 88.07 Foe= FoB =100 N Consfder oce acting along Veutical disvection, FOE =- Fo Cose Put a8 07 Foe -700N and FDE -1700) Cas ag.0f 500 N FOE

Page No FAC Ay Fee body dingum Joint A Fiause ce) Consides he feces acia along veuefcol dlivecsion Ay Coso o - Ay FaB Cose Ay FAB Cose Ay ga50 N and Put - aa50 FAB FAB =-2550o N

Page No. 5 let the fooces acting along the hasigonta disio ;?on FAc FAB Sine =-a55o N Put 88.070 FAB and FRC C-as50) Sin 88.070 FAc 2 00 N at joint F Foee body diagum FeF FcF Figusie Cd) the fooces acting along the Vesttical disecti. Let ZFy -Fy FEF FEF Fy Put Fy= Fer aa5o N ga 5o N -

Page No. 6 Considex 4he faces acting along. dioe ction, hosi2mtal the F FCF FCF F Put Fa 1600N FCF 600 N At Joint C, body dingsam FcE FAC Figuse Ce let the fooces deting allong ZFR = 0 hasiizontal disection FCE Cas Co-) + Fef -Fac0 Fef -FAc FCE Sine Put a8.o Fee - 1600 N and FAc 200 N FCE Sin Ca8.o 1600 -1200 FeE 850N

Page No.7 the foces acting. along let FeC FCE Sin 9- o) 850 N Put 88 07 FCE Fec 850 Cos 88.00 750N Fec jOMt B foee body dingam FBE Fac haviz ontal the et the fasces acting along diecion

Page No. 8 FeE FDe Cos C9-e) FR Sine AG FeE Foe ine F Sine AB FeE FAB FoB) Sine Put 380 FAB &550N and F 700 N Fee 8 35 50 -17o0)) Sin a8 07 850 Sin 8.0 - Чоом FeE