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Diffstat (limited to '3772/CH13/EX13.10/Ex13_10.sce')
-rw-r--r-- | 3772/CH13/EX13.10/Ex13_10.sce | 58 |
1 files changed, 58 insertions, 0 deletions
diff --git a/3772/CH13/EX13.10/Ex13_10.sce b/3772/CH13/EX13.10/Ex13_10.sce new file mode 100644 index 000000000..6c381ddd9 --- /dev/null +++ b/3772/CH13/EX13.10/Ex13_10.sce @@ -0,0 +1,58 @@ +// Problem no 13.10,Page No.309 + +clc;clear; +close; + +b=25 //cm //width of top FLange +t=5 //cm //thickness of top Flange +D=35 //cm //Depth of overall section +w_d=25 //cm //depth of web +w_t=5 //cm //thickness of web +t_1=5 //cm //thickness of bottom Flange +b_1=15 //cm //width of bottom Flange +sigma=17.5*10**6 +F=100*10**3 //N //S.F + +//Calculations + +a_1=b*t //area of top flange +a_2=w_d*w_t //area of web +a_3=b_1*t_1 //area of bottom Flange +y_1=t*2**-1 //C.G of top flange +y_3=D-(t_1*2**-1) //C.G of bottom Flange +y_2=D*2**-1 //c.G of Web + +Y=(a_1*y_1+a_2*y_2+a_3*y_3)*(a_1+a_2+a_3)**-1 + +I=b*t**3*12**-1+b*t*(Y-y_1)**2+w_t*w_d**3*12**-1+w_t*w_d*(D*2**-1-Y)**2+b_1*t_1**3*12**-1+b_1*t_1*(y_3-Y)**2 + +M=sigma*I*10**-8*(Y*10**-2)**-1 //B.M + +//Shear Stress in upper Flange at the junction with web +S_1=F*b*t*(Y-y_1)*10**-6*(I*10**-8*b*10**-2)**-1*10**-3 + +//Shear Stress in web at the junction with upper Flange +S_2=S_1*b*t**-1 + +//Max shear stress at the N.A +S=F*(b*t*(Y-y_1)+w_t*(Y-t)*(Y-t)*2**-1)*10**-6*(I*10**-8*w_t*10**-2)**-1*10**-3 + +//Shear Stress in Lower Flange at the junction with web +S_3=F*(a_3*(D-Y-t_1*2**-1))*10**-6*(I*10**-8*b_1*10**-2)**-1*10**-3 + +//Shear Stress in web at the junction with Lower Flange +S_4=S_3*b_1*t_1**-1 + +//Result +printf("The Bending Moment section can take is %.2f",M);printf(" N-m") +printf("\n The shear stress Distribution Diagram") + +//Plotting the Shear stress distribution Diagram + +X_1=[0,5,5,15.19,30,30,35] +Y_1=[0,S_1,S_2,S,S_3,S_4,0] +Z_1=[0,0,0,0,0,0,0] +plot(X_1,Y_1,X_1,Z_1) +xlabel("Length x in m") +ylabel("Shear Stress in kN/m**2") + |