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clear
//
//
//Initilization of Variables
//Let X=(P*A**-1) //Average Stress at Failure
Lamda_1=70 //Slenderness Ratio
Lamda_2=170 //Slenderness Ratio
X1=200 //N/mm**2
X2=69 //N/mm**2
//Rectangular section
b=60 //mm //width
t=20 //mm //Thickness
L=1250 //mm //Length of strut
FOS=4 //Factor of safety
//Calculations
//Slenderness ratio
//Lamda=L*k**-1
//The Rankine's Formula for strut
//P=sigma*A*(1+a*(L*k**-1)**-1
//From test result 1,
//After sub values in above equation we get and further simplifying we get
//sigma_1=200+980000*a ...................(1)
//From test result 2,
//After sub values in above equation we get and further simplifying we get
//sigma_2=69+1994100*a ...................(2)
//Substituting it in equation (1) we get
a=131*1014100**-1
//Substituting a in equation 1
sigma_1=200+980000*a //N/mm**2
//Effective Length
l=1*2**-1*L //mm
//Least of M.I
I=1*12**-1*b*t**3 //mm**4
//Area
A=b*t //mm**2
k=(I*A**-1)**0.5
//Slenderness ratio
Lamda=l*k**-1
//From Rankine's Ratio
P=sigma_1*A*(1+a*(Lamda)**2)**-1
//Safe Load
S=P*(FOS)**-1*10**-3 //N
//Result
printf("\n Constant in the Formula is:a %0.6f ",a)
printf("\n :sigma_1 %0.2f ",sigma_1)
printf("\n Safe Load is %0.2f KN",S)
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