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Diffstat (limited to '3772/CH5/EX5.14/Ex5_14.sce')
-rw-r--r-- | 3772/CH5/EX5.14/Ex5_14.sce | 39 |
1 files changed, 39 insertions, 0 deletions
diff --git a/3772/CH5/EX5.14/Ex5_14.sce b/3772/CH5/EX5.14/Ex5_14.sce new file mode 100644 index 000000000..ac0d42a62 --- /dev/null +++ b/3772/CH5/EX5.14/Ex5_14.sce @@ -0,0 +1,39 @@ +// Problem 5.14,Page no.136 + +clc;clear; +close; + +B=10 //cm //width of timber section +D=15 //cm //depth of timber section +b=10 //cm //width of steel plate +t=12 //mm //thickness +w=3 //KN/m //Uniformly distributed Load +L=4 //m //Span of beam +m=20 //Ratio of modulus of elasticity of steel to timber +W=3 //KN/m //Load + +//Calculations + +y_1=15*2**-1 //C.G of timber +y_2=1.2*2**-1 //C.G of steel plate +b_s=10*m**-1 //cm //Equivalent width of steel +Y_bar=(10*1.2*0.6+15*0.5*8.7)*(10*1.2+15*0.5)**-1 //cm //distance of C.G from bottom edge + +I=1*12**-1*10*(1.2)**3+10*1.2*(3.72-0.6)**2+1*12**-1*0.5*(15)**3+0.5*15*(7.5-3.72)**2 +M=W*10**5*L**2*8**-1 //N*m + +Y_bar_1=3.72 //cm //C.G from bottom edge +Y_bar_2=16.2-Y_bar //cm //C.G from top edge + +sigma_1=(M*I**-1*Y_bar_1)*10**-2 //N/mm**2 //stress at bottom + +sigma_2=(M*I**-1*Y_bar_2)*10**-2 //N/mm**2 //stress at top + +sigma_max=sigma_2*m**-1 + +//The Answers in book for Moment of Inertia about x-x axis onwards are incorrect + +//Result +printf("Moment of Inertia = %.f N-m",M) +printf("\n The Max Stress in steel is %.2f N/mm^2",sigma_1) +printf("\n The Max Stress in timber is %.2f N/mm**2",sigma_max) |