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clear
//
//variable declaration
PB=20.0 //vertical loadng at point B,KN
PC=30.0 //vertical loadng at point C,KN
thetaab=30.0 *%pi/180.0
thetabc=50.0*%pi/180.0
//applying lami's thereom
T1=PB*sin(thetabc)/sin(%pi-thetabc+thetaab)
T2=PB*sin(%pi-thetaab)/sin(%pi-thetabc+thetaab)
theta=atan((T2*sin(thetabc))/(PC-T2*cos(thetabc)))*180/%pi
printf("\n T1= %0.2f KN",T1)
printf("\n T2= %0.2f KN",T2)
//Writing equations of equilibrium for the system of forces at C
printf("\n theta= %0.2f °",theta)
T3=(PC-T2*cos(thetabc))/cos(theta*%pi/180)
printf("\n T3= %0.2f KN",T3)
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