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clear
//Given
//
h = 60 //mm - the length of the crossection
b = 100 //mm - the width of hte crossection
E = 200 //GPa - The youngs modulus
stress_cr = 250 //MPa - The proportionality limit
//calculations
I = b*(h**3)/12 //mm3 The momentof inertia of the crossection
A = h*b //sq.mm - The area of teh crossection
//From Euler formula
r_min = ((I/A)**0.5) //mm - The radius of the gyration
//(l/r)**2= (%pi**2)*E/stress_cr //From Euler formula
l = (((%pi**2)*E*(10**3)/stress_cr)**0.5)*r_min //mm - the length after which the beam starts buckling
printf("\n The length after which the beam starts buckling is %0.0f mm",l)
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