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// Problem 5.3,Page no.123
clc;clear;
close;
b=10 //cm //width of beam
d=20 //cm depth of beam
//Calculations
//R_a and R_b are the reactions at A and B respectively.
//Moment of all forces about A
R_b=(4*4*4*2**-1-2*1.5)*(2)**-1 //KN
//R_a+R_b=18
R_a=18-R_b
//Consider a section at a distance x from A
//M_x=9.25*x-2(x-1.5)-4*x*x*2**-1=7.25*x+3-2*x**2
//Taking derivative of above equation to find max value of M_x we get
x=1.81 //m
M=7.25*x+3-2*x**2 //kN*m
I=b*d**3*12**-1 //cm**4 //M.I of the section
y=10
sigma=M*I**-1*y*10**8*(10**2)**-1 //Max bending stress
//Result
printf("The Max Bending stress is %.2f kN/m^2",sigma)
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