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clear
//
//Initilization of Variables
L=6000 //mm //Span of beam
W=20*10**3 //N //Load
sigma=8 //N/mm**2 //Stress
b=200 //mm //Width of section
d=300 //mm //Depth of section
//Calculations
//let x be the distance from left side of beam
//Bending moment
//M=W*2**-1*x //Nmm .......(1)
//But M=sigma*Z ..........(2)
//Equating equation 1 and 2 we get
//W*2**-1*x=sigma*Z ............(3)
//Section Modulus
//Z=1*6*b*d**2 ...............(4)
//Equating equation 3 and 4 we get
//b*d**2=3*W*x*sigma**-1 .............(5)
//Beam of uniform strength of constant depth
//b=3*W*x*(sigma*d**2)
//When x=0
b=0
//When x=L*2**-1
b2=3*W*L*(2*sigma*d**2)**-1 //mm
//Beam with constant width of 200 mm
//We have
//d=(3*W*x*(sigma*d)**-1)**0.5
//thus depth varies as (x)**0.5
//when x=0
d1=0
//when x=L*2**-1
d2=(3*W*L*(2*sigma*200)**-1)**0.5 //mm
//Result
printf("\n Cross section of rectangular beam is: %0.2f mm",b2)
printf("\n : %0.2f mm",d2)
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