Question

Using the method of joints, determine the force in each member of the truss shown. Given: P 24 kN and L 1.5 m P 17 kN 17 KN R 0.8 m VSEN Mp 0 Fy kN Step 1

Answer 1

.7KN P34KN 7KN A tan 08.0724 8m ーSm 一 8KN Feee boly Diagaars foxce t D Reaction force RD= Reactram RF at F tgke moment at D =0 RFX 3= RE = 23 kN 4X. S8x]. S + 7 X 3 Equakng vext cal RE RD +24 +78 Ros 23 kN quating fortes and Conal ces ont A Equatng honzontal frore FAB O TKN 7FAB A forace member AB FAD vestcal forcej Equatrmg FAD7KN Compreasio -force in member AD

joint and euating fores D Consicler Eauatng vetical forey FAD Fep FAD tFBD 21ne RD D FDE FBD 3in 28.0124 3 7 FBD 34 kN Compresaiom force member BD Equatna Aoizontal fces FRD COn O FDE 1 28.0724 34 сos FDE 30 KN Tenalo forre in membes DE E ond Equahng forces Consider vertical fortes Equatmg FBE 8KN AFBE Tension foce in member BE FEE FDE Equating honzontal forces 8KN FEF FDE [FEF force 30 KN Tenslo In membtr EF

consider yoint C and Eauating forces Eauatng horizontal fores for ce inmember BC FBC FBC FCF Equating vertcal fores Cormpression 7 KN FCF forrce in member CF ConIder joint F FBF Equating forcep and Equatng hozontal foxiey FCF FBF FEE FEF 30 FBF Con 28.072y FeF = こforce 34 kN Compress1o member BF