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Diffstat (limited to '3772/CH6/EX6.10/Ex6_10.sce')
-rw-r--r-- | 3772/CH6/EX6.10/Ex6_10.sce | 45 |
1 files changed, 45 insertions, 0 deletions
diff --git a/3772/CH6/EX6.10/Ex6_10.sce b/3772/CH6/EX6.10/Ex6_10.sce new file mode 100644 index 000000000..83d0afa26 --- /dev/null +++ b/3772/CH6/EX6.10/Ex6_10.sce @@ -0,0 +1,45 @@ +// Problem no 6.10,Page No.161 + +clc;clear; +close; + +E=200*10**9 //Pa +I=20000*10**-8 //m**4 + +//Calculations + +//Now Taking moment at B +R_a=(1000*3*4.5+1000*2)*6**-1 //Reaction Force at pt A + +//On part BC u.d.l of 1KN/m is introduced both above and below +//consider section at distance x i.e X-X and considering moment at section X-X + +//M=15500*x*6**-1-1000*x**2*2**-1-1000(x-4)+1000*2**-1*(x-3)**2 +//EI*d**2y*d**x=-M=15500*x*6**-1-1000*x**2*2**-1-1000(x-4)+1000*2**-1*(x-3)**2 + +//Now Integrating above Equation we get Equation of slope +//EI*dy*dx**-1=-15500*x**2*12**-1+1000*x**3*6**-1+1000*(x-4)**2*2**-1+1000*6**-1*(x-3)**3+C_1 + +//Now Integrating above Equation we get Equation of Deflection +//EI*y=-15500*x**3*36**-1+1000*x**4*24**-1+1000*(x-4)**3*6**-1+1000*24**-1*(x-3)**3+C_1*x+C_2 + +//At x=0,deflection is zero,i.e y=0 C_2=0 +//At x=6,deflection is zero,i.e y=0 +x=6 +C_1=-(-15500*x**3*36**-1+1000*x**4*24**-1+1000*(x-4)**3*6**-1+1000*(x-3)**4*24**-1)*x**-1 //Constant + +//Answer for constant C_1 is incorrect in Book + +//Now Deflection at C,put x=3 m +x=3 +y_C=1*(E*I)**-1*(-15500*x**3*36**-1+1000*x**4*24**-1+1000*(x-4)**3*6**-1+1000*24**-1*(x-3)**3+C_1*x)*10**3 + +//Now Deflection at D,put x=4 m +x=4 +y_D=1*(E*I)**-1*(-15500*x**3*36**-1+1000*x**4*24**-1+1000*(x-4)**3*6**-1+1000*24**-1*(x-3)**3+C_1*x)*10**3 + +//Answers for y_C & y_D are incorrect in book + +//Result +printf("Deflection at pt C is %.2f mm",y_C) +printf("\n Deflection at pt D is %.2f mm",y_D) |