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Diffstat (limited to '3772/CH5/EX5.15/Ex5_15.sce')
-rw-r--r-- | 3772/CH5/EX5.15/Ex5_15.sce | 39 |
1 files changed, 39 insertions, 0 deletions
diff --git a/3772/CH5/EX5.15/Ex5_15.sce b/3772/CH5/EX5.15/Ex5_15.sce new file mode 100644 index 000000000..6adcca091 --- /dev/null +++ b/3772/CH5/EX5.15/Ex5_15.sce @@ -0,0 +1,39 @@ +// Problem 5.15,Page no.137 + +clc;clear; +close; + +B=20 //cm //width of timber +D=30 //cm //depth of timber +d=25 //cm //depth of steel plate +b=1.2 //cm //width of steel plate +sigma_s=90 //N/mm**2 //Bending stress in steel +sigma_t=6 //N/mm**2 //Bending stress in timber +m=20 //Ratio of modulus of elasticity of of steel to timber + +//Calculation + +//Equivalent width of wood section,when 1.2 cm wide steel plate is replaced by steel plate is +b_1=1.2*20 //cm +d_1=25 //cm //depth of wood section +y_1=d*2**-1 //cm //C.G of timber section +y_2=D*2**-1 //cm //C.G of steel section + +Y_bar=(2*d*b_1*y_1+D*B*y_2)*(2*d*b_1+D*B)**-1 //cm //Distance of C.G from Bottom edge +I=B*D**3*12**-1+B*D*(y_2-Y_bar)**2+2*(b_1*d_1**3*12**-1+b_1*d_1*(Y_bar-y_1)**2) //M.I of equivalent timber section about N.A +Y=30-Y_bar //distance of C.G from top of equivalent wood section + +//Thus max stress will occur at top and that in steel will occur at bottom +//sigma_s=m*Y_bar*Y**-1*sigma_t + +//After simplifying we get +//sigma_s=15.99*sigma_t + +sigma_t=sigma_s*15.99**-1 //N/mm**2 //Max stress in Equivalent timber section + +Z_t=I*Y**-1 //Section modulus of equivalent section +M=sigma_t*Z_t*10**-5*100 //Moment of resistance of beam + +//Result +printf("Position of N.A is %.2f cm",Y_bar) +printf("\n Moment of Resistance of beam is %.2f kN-m",M) |