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Diffstat (limited to '3772/CH13/EX13.3/Ex13_3.sce')
-rw-r--r-- | 3772/CH13/EX13.3/Ex13_3.sce | 51 |
1 files changed, 51 insertions, 0 deletions
diff --git a/3772/CH13/EX13.3/Ex13_3.sce b/3772/CH13/EX13.3/Ex13_3.sce new file mode 100644 index 000000000..04abb8e8d --- /dev/null +++ b/3772/CH13/EX13.3/Ex13_3.sce @@ -0,0 +1,51 @@ +// Problem no 13.3,Page No.302 + +clc;clear; +close; + +L=2 //m //span +w=20*10**3 //N/m //u.d.L +b=12.5 //cm //width of Flange +t=2.5 //cm //flange thickness +w_t=2.5 //cm //web thickness +D=20 //cm //Overall depth +w_d=17.5 //m //Depth of web + +//Calculations + +F=w*L*2**-1 //N //Max S.F +a_1=b*t //Area of flange +a_2=w_d*w_t //Area of web +y_1=t*2**-1 //C.G of flange +y_2=w_d*2**-1+t //C.G of web + +//C.G of c/s +Y=(a_1*y_1+a_2*y_2)*(a_1+a_2)**-1 + +//M.I about N.A +I=b*t**3*12**-1+b*t*(Y-y_1)**2+w_t*w_d**3*12**-1+w_t*w_d*(y_2-Y)**2 + +//Shear Stress in flange at the junction with web +//Let tou(Shear stress)=S +//Change in the notifications of Shear Stress For convenience +S_1=(F*a_1*(Y-y_1)*10**-6)*(I*10**-8*b*10**-2)**-1*10**-3 + +//Shear Stress in web at the junction with flange +S_2=(F*a_1*(Y-y_1)*10**-6)*(I*10**-8*w_t*10**-2)**-1*10**-3 + +//Max Shear Stres at N.A +S_max=(F*(a_1*(Y-y_1)+(w_t*(Y-t))*((Y-t)*2**-1))*10**-6)*(I*10**-8*w_t*10**-2)**-1*10**-3 + +//Result +printf("The Max shear stress in the beam is %.2f",S_max);printf(" KN/m**2") + +printf("\n\n Shear stress distribution Diagram") + +//Plotting the Shear stress distribution Diagram + +X_1=[0,2.5,2.5,4.58,15.42] +Y_1=[0,S_1,S_2,S_max,0] +Z_1=[0,0,0,0,0] +plot(X_1,Y_1,X_1,Z_1) +xlabel("Length x in m") +ylabel("Shear Stress in kN/m**2") |