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// Problem no 2.2,Page no.31
clc;clear;
close;
//Rectangle-1
b_1=2 //cm //width of Rectangle-1
d_1=12 //cm //breadth of Rectangle-1
a_1=24 //cm**2 //Area of Rectangle-1
y_1=6 //cm //Distance of centroid-1
//Rectangle-2
b_2=6 //cm //width of Rectangle-2
d_2=2 //cm //breadth of Rectangle-2
a_2=12 //cm**2 //Area of rectangle-2
y_2=1 //cm //Distance of centroid-2
//Rectangle-3
b_3=2 //cm //width of Rectangle-3
d_3=12 //cm //breadth of Rectangle-3
a_3=24 //cm**2 //Area of rectangle-3
y_3=6 //cm //Distance of centroid-3
//Calculation
Y_bar=((a_1*y_1+a_2*y_2+a_3*y_3)*(a_1+a_2+a_3)**-1) //cm //centre of gravity of section
Y_1=6 //cm //Distance of centroid of rectangle 1 to base
Y_2=1 //cm //Distance of centroid of rectangle 2 to base
Y_3=6 //cm //Distance of centroid of rectangle 3 to base
I_x_x_1=b_1*d_1**3*12**-1+a_1*Y_1**2 //moment of inertia of rectangle 1 about centroidal x-x axis of the section
I_x_x_2=b_2*d_2**3*12**-1+a_2*Y_2**2 //moment of inertia of rectangle 2 about centroidal x-x axis of the section
I_x_x_3=b_3*d_3**3*12**-1+a_3*Y_3**2 //moment of inertia of rectangle 3 about centroidal x-x axis of the section
I_x_x=I_x_x_1+I_x_x_2+I_x_x_3 //cm**4
//Result
printf("Moment of Inertia of the section is %.2f cm^4",I_x_x)
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