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authorprashantsinalkar2018-02-03 11:01:52 +0530
committerprashantsinalkar2018-02-03 11:01:52 +0530
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+clear
+//
+//
+
+//Initilization of Variables
+
+P=20*10**3 //N //Load
+d=6 //mm //diameter of wire
+E=2*10**5 //N/mm**2
+L_BO=4000 //mm //Length of BO
+
+//Calculations
+
+//Let theta be the angle between OA and OB and also between OC and OB
+theta=30
+
+//Let P_OA,P_OB,P_OC be the Forces introduced in wires OA,OB,OC respectively
+//Due to symmetry P_OA=P_OC (same angles)
+
+//Sum of all Vertical Forces=0
+//P_OA*cos(theta)+P_OB+P_OC*cos(theta)=P
+
+//After further simplifyinf we get
+//2*P_OA*cos(theta)+P_OB=20 ...............(1)
+
+//Let oo1 be the extension of BO
+//oo1=L_A1o1*(cos(theta))**-1
+
+//From relation we get
+//P_OB*L_BO=P_OA*L_AO*(cos(theta))**-1
+
+//But L_AO=L_BO*(cos(theta))**-1
+
+//After substituting value of L_AO in above equation we get
+//P_OB=0.75*P_OA .......................(2)
+
+//substituting in Equation 1 we get
+//2*P_OA*cos(theta)+0.75*P_OA=20
+
+P_OA=20*(2*cos(theta*%pi*180**-1)+0.75)**-1
+
+P_OB=0.75*P_OA
+
+A=%pi*4**-1*d**2
+
+//Vertical displacement of Load
+dell_l_BO=P_OB*10**3*L_BO*(A*E)**-1
+
+//Result
+printf("\n Forces in each wire is:P_OA %0.2f KN",P_OA)
+printf("\n :P_OB %0.2f KN",P_OB)
+printf("\n Vertical displacement of Loadis %0.2f mm",dell_l_BO)