diff options
Diffstat (limited to '3864/CH5/EX5.16/Ex5_16.sce')
-rw-r--r-- | 3864/CH5/EX5.16/Ex5_16.sce | 60 |
1 files changed, 60 insertions, 0 deletions
diff --git a/3864/CH5/EX5.16/Ex5_16.sce b/3864/CH5/EX5.16/Ex5_16.sce new file mode 100644 index 000000000..244888a3d --- /dev/null +++ b/3864/CH5/EX5.16/Ex5_16.sce @@ -0,0 +1,60 @@ +clear +// +// + +//Initilization of Variables + +L_AC=2 //m //Length of BD,CB,AC +L_BD=2 +L_CB=2 +F_C=40 //KN //Force at C +F_D=10 //KN Force at D +L=6 //m spna of beam + +//EI is constant in this problem + +//Calculations + +//Let V_A & V_B be the reactions at A & B Respectively +//V_A+V_B=50 + +//Taking Moment at Pt A +V_B=(F_D*L+F_C*L_AC)*(L_AC+L_CB)**-1 +V_A=50-V_B + +//Now Taking Moment at distance x from A,M_x +//M_x=15*x-40*(x-2)+35*(x-4) +//EI*(d**2*y/dx**2)=15*x-40*(x-2)+35*(x-4) + +//Now Integrating above equation we get +//EI*(dy/dx)=C1+7.5*x**2-20*(x-2)**2+17.5(x-4)**2 + +//Again Integrating above equation we get +//EI*y=C2+C1*x+2.5*x**2-20*3**-1*(x-2)**3+17.5*(x-4)**3*3**-1 + +//At +x=0 +y=0 +//we get +C2=0 + +//At +x=4 +y=0 +//we get +C1=(2.5*4**3-20*3**-1*2**3)*4**-1 + +//Now Deflection at C +x=2 +C1=-26.667 +C2=0 +y_C=C2+C1*x+2.5*x**3 + +//Now Deflection at D +C1=-21.667 +C2=0 +y_D=-26.667*6+2.5*6**3-20*3**-1*4**3+17.5*2**3*3**-1 + +//Result +printf("\n Deflections Under Loads are:y_D %0.4f ",y_D) +printf("\n :y_C %0.2f ",y_C) |