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+clear
+//
+//
+
+//Initilization of Variables
+
+sigma=150 //N/mm**2 //Stress
+P=40*10**3 //N //Load
+
+//Calculations
+
+//LEt P_A.P_B,P_C,P_D be the forces developed in wires A,B,C,D respectively
+
+//Let sum of all Vertical Forces=0
+//P_A+P_B+P_C+P_D=40   ..........................(1)
+
+//Let x be the distance between each wires
+//sum of all moments=0
+//P_B*x+P_C*2*x+P_D*3*x=40*2*x
+
+//After further simplifying we get
+//P_B+2*P_C+3*P_D=80     ..........................(2)
+
+//As the equations of statics ae not enough to find unknowns,Consider compatibilit Equations
+
+//Let dell_l be the increse in elongation of wire
+
+//dell_l_B=dell_l_A+dell_l
+//dell_l_C=dell_l_A+2*dell_l
+//dell_l_D=dell_l_A+3*dell_l
+
+//Let P1 be the force required for the Elongation of wires,then
+//P_B=P_A+P1    ]
+//P_C=P_A+2*P1  ]
+//P_D=P_A+3*P1  ]     ................................(3)  
+
+//from Equation (3) and (1) we get
+//2*P_A+3*P1=20      ................................(4)
+
+//from Equation (3) and (2) we get
+//6*P_A+14*P1=80 
+
+//subtracting 3 times equation (4) from (3) we get
+P1=20*5**-1
+
+//from Equation 4 we get
+P_A=(80-14*P1)*6**-1
+P_B=P_A+P1
+P_C=P_A+2*P1    
+P_D=P_A+3*P1
+
+//Let d be the diameter required,then
+d=(P_D*10**3*4*(%pi*150)**-1)**0.5
+
+//result
+printf("\n The Required Diameter is %0.2f  mm",d)