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Diffstat (limited to '3772/CH11/EX11.5/Ex11_5.sce')
-rw-r--r-- | 3772/CH11/EX11.5/Ex11_5.sce | 61 |
1 files changed, 61 insertions, 0 deletions
diff --git a/3772/CH11/EX11.5/Ex11_5.sce b/3772/CH11/EX11.5/Ex11_5.sce new file mode 100644 index 000000000..782ff05cb --- /dev/null +++ b/3772/CH11/EX11.5/Ex11_5.sce @@ -0,0 +1,61 @@ +// Problem 11.5,Page no.277 + +clc;clear; +close; + +b=4 //m //width of %pier +d=3 //m //depth of %pier +e_x=1 //m //distance from y axis +e_y=0.5 //m //distance from x axis +P=80 //KN //Load + +//Calculations + +A=b*d //m**2 //Area of %pier +I_x_x=b*d**3*12**-1 //m**4 //M.I about x-x axis +I_y_y=d*b**3*12**-1 //m**4 //M.I about y-y axis +M_x=P*e_y //KN*m //Moment about x-x axis +M_y=P*e_x //KN*m //Moment about y-y axis + +x=2 //m //Distance between y-y axis and corners A and B +y=1.5 //m ////Distance between x-x axis and corners A and D + +//Part-1 +//Stress developed at each corner + + +sigma_A=P*A**-1+M_x*y*I_x_x**-1-M_y*x*I_y_y**-1 //KN/m**2 //stress at A +sigma_B=P*A**-1+M_x*y*I_x_x**-1+M_y*x*I_y_y**-1 //KN/m**2 //stress at B +sigma_C=P*A**-1-M_x*y*I_x_x**-1+M_y*x*I_y_y**-1 //KN/m**2 //stress at C +sigma_D=P*A**-1-M_x*y*I_x_x**-1-M_y*x*I_y_y**-1 //KN/m**2 //stress at D + +//Part-2 +//Let f be the additional load that should be placed at centre + +//sigma_c=F*A**-1 //KN/m**2 //compressive stress + +//For no tension in %pier section, compressive stress is equal to tensile stress +sigma_c=10 //KN/m**2 +F=sigma_c*A //KN + +//Part-3 + +sigma=F*A**-1 //KN/m**2 //stress due to additional load of 120 KN + +sigma_A_1=sigma_A+10 //stress at A +sigma_B_1=sigma_B+10 //stress at B +sigma_C_1=sigma_C+10 //stress at C +sigma_D_1=sigma_D+10 //stress at D + +//Result +printf("Stress at each corner are as follows:stress_A %.2f",sigma_A);printf(" KN/m**2") +printf("\n :stress_B %.2f",sigma_B);printf(" KN/m**2") +printf("\n :stress_C %.2f",sigma_C);printf(" KN/m**2") +printf("\n :stress_D %.2f",sigma_D);printf(" KN/m**2(tensile)") + +printf("\n\n Additional load that should be placed at centre is %.2f",F);printf(" KN") + +printf("\n\n Stresses at the corners with the additional load in centre are as follows:Stress_A_1 %.2f",sigma_A_1);printf(" KN/m**2") +printf("\n :Stress_B_1 %.2f",sigma_B_1);printf(" KN/m**2") +printf("\n :Stress_C_1 %.2f",sigma_C_1);printf(" KN/m**2") +printf("\n :Stress_D_1 %.2f",sigma_D_1);printf(" KN/m**2") |