Question

4. TRUSS Determine the force in each member of the truss shown below. Also, state whether each member is in tension or compression. There is a pin at A and a rocker at C. 45 KN 35 kN 12 m ....... 10 m -........................... 10 m -.......... 20 KN

Answer 1

FED. 15.6307 12 FAE Sino ino & FEB FAE coso 15.6204 TAECOSO 10 sino = 15-6204. FAE SINO - FED FEB + FAE COSO =0 -25.833 FAE X 10 15.6204 I FAE = – 40.352 kN.

son 45kN 35KNA 12m 4 с RAN 20KN I Rey 20 KN lom lom Rayt Rey = 65 kN -O RAX = 35KN taking moment about À (20x10) + (45X20) + ($35X12) = Reyx20 Rey = 76 KN Ray = -11 kn

at point D 45kN FED * 3J KN 15.6204 FBD Sino 12 * FC Coso - Is. 6204 FBD COSO FBD 45 + FDCT FBI Coso = 0 FED & FBI sino =35 45-76 + FBD x 120 = 0 15.6204 -31+ FBD x 12 =0 15.6204 FBD = 31X 15.6204 12 40.3527 KN FBD = FED & 40.352.7 x 10 =0 15. 6204 FEDF - 25.833 kN.

at point el 4 FDC FB C = 0KN FDC + (+76) = 0 FDG = -76KN. at point Bl FBE + BD 15. 6204 Frosinot 12 FBD LOSO 10 FABI 20 loso = is. 6204 sino = 12 Is. 6204 FAB=FBD Cose FAB = 40.3527 - 15. 6204 FAB = 25.833 kN. FEB & FBI sino = 20 FEB = 20-40.3527X - 12 Is. 6204 FEB= 20- 31 - - 11 kN