clear // // //Initilization of Variables L_CD=2 //m //Length of CD E=200 //KN/mm**2 I=60*10**6 //mm**4 //M.I F_C=20 //KN //Force at C F_E=30 //KN //Force at E w=10 //KN/m //u.d.l //Calculations X=E*I*10**-6 //KN-m**2 //Let V_A & V_B be the reactions at A & B respectively //V_A+V_B=70 //Taking Moment at distance x from A //M_x=34*x-20*(x-1)-10*(x-1)**2*2**-1+10*(x-3)**2*2**-1-30*(x-4) //EI*(d**2y/dx**2)=34*x-20*(x-1)-10*(x-1)**2*2**-1+10*(x-3)**2*2**-1-30*(x-4) //Now Integrating Above equation,we get //EI*(dy/dx)=C1+17*x**2-10*(x-1)**2-5*3**-1*(x-1)**3+5*3**-1*(x-3)**3-15*(x-4)**2 //Again Integrating Above equation,we get //EI*y=C2+C1*x+17*3**-1*x**3-10*3**-1*(x-1)**3-5*12**-1*(x-1)**4+5*12**-1*(x-3)**4-5*(x-4)**3 //At x=0 y=0 C2=0 //At x=5 //m y=0 C1=(-17*3**-1*x**3+10*3**-1*(x-1)**3+5*12**-1*(x-1)**4-5*12**-1*(x-3)**4+5*(x-4)**3)*5**-1 //EI*y=C2+C1*x+17*3**-1*x**3-10*3**-1*(x-1)**3-5*12**-1*(x-1)**4+5*12**-1*(x-3)**4-5*(x-4)**3 C2=0 C1=-78 x=1 y_c=(-78*x+17*3**-1*x)*(X)**-1 //EI*y_D=C2+C1*x+17*3**-1*x**3-10*3**-1*(x-1)**3-5*12**-1*(x-1)**4 x=3 C1-78 C2=0 y_D=(C2+C1*x+17*3**-1*x**3-10*3**-1*(x-1)**3-5*12**-1*(x-1)**4)*(X**-1) //EI*y_E=C2+C1*x+17*3**-1*x**3-10*3**-1*(x-1)**3-5*12**-1*(x-1)**4+5*12**-1*(x-3)**4 x=4 C1-78 C2=0 y_E=(C2+C1*x+17*3**-1*x**3-10*3**-1*(x-1)**3-5*12**-1*(x-1)**4+5*12**-1*(x-3)**4)*X**-1 //Result printf("\n Deflections at C %0.5f mm",y_c) printf("\n Deflections at D %0.5f mm",y_D) printf("\n Deflections at E %0.4f mm",y_E)