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clear all; clc;
disp("Scilab Code Ex 6.22 : ")
//Given:
sigma_allow_st = 168; //MPa
sigma_allow_w = 21; //MPa
Est = 200; //GPa
Ew = 12; //GPa
Iz = 7.93*10^6; //mm^4
A1 = 5493.75; //mm^2
t = 5; //mm
h = 100; //mm
//Without Board:
c = h+t;
M1 = (sigma_allow_st*Iz)/(c*10^6);
//With Board:
bw = 300;//mm
n = (Ew/Est);
bst = n*bw;
//For the transformed section:
y1 = 0;
y2 = 55;
A2 = bst*h;
y_bar = (y1*A1 + y2*A2)/(A1+A2);
I1 = Iz + A1*y_bar^2;
I2 = (1/12)*(bst*h^3) + (A2*(y2-y_bar)^2);
I = I1+I2;
c = c+y_bar;
M2 = (sigma_allow_st*I)/(c*10^6);
cw = c - y_bar;
Mw = (sigma_allow_w*I)/(n*cw*10^6);
M = min(Mw,M2);
//Display:
printf("\n\nThe maximum bending moment without re-inforcement = %1.3f kNm',M1);
printf("\nThe maximum bending moment with re-inforcement = %1.2f kNm',M);
//------------------------------------------------------------------------END---------------------------------------------------------------------------------------
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