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// Problem no 6.3,Page No.156
clc;clear;
close;
L=3 //m //Length of beam
L_1=1.2 //m //Distance from fixed end
d=0.25 //m //Depth of beam
w=15*10**3 //N //U.d.L
W=40*10**3 //N //Point Load
E=2*10*10**4 //N/m**2
I=13500*10**-4 //M.I
//Calculations
y_b=W*L_1**3*(3*E*I)**-1+W*L_1**2*(2*E*I)**-1*(L-L_1)+w*L**4*(8*E*I)**-1 //Deflection at free end
M=W*L_1+w*L*L*2**-1 //Max Bending moment at the fixed end A //Nm
y=d*2**-1
sigma_max=M*y*I**-1 //N/cm**2 //Max Bending stress at extreme fibre
//Result
printf("Deflection at the free end is %.4f cm",y_b)
printf("\n Max stress due to bending is %.2f N/cm^2",sigma_max)
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