Answer to Question #187652 in Mechanical Engineering for Anurag

Question

Determine the force in each member of the truss and state if the members are in tension

or compression. Take P = 100 kN.

Answer 1

Consider the diagram below

$\sum M_B=0 \implies (10*2cos60)+(10*(2+2cos 60))=2R_A \implies R_A =20kN \uparrow$

$\sum F_y=0 \implies R_A+R_B=10+10 \implies R_A+R_B=20 \implies R_B =20-20=0$

Consider point C

$F_{BC}sin60= 10 \implies F_{BC}=11.55kN$

$\sum F_x=0 \implies F_{BC}cos 60=F_{DC} \implies F_{DC}=11.55cos 60=5.78kN$

$\sum F_y=0 \implies F_{AD}sin60=20 \implies F_{AD}=23.09kN$

$\sum F_x=0 \implies F_{AB}=F_{AD}cos60 \implies F_{AB}=11.55kN$