Can someone solve part C in matlab for me so I can see where I went wrong
y = Part 2 - 0"] The exact deflection of the overhanging beam shown in the Figure below is given by: Pal? [x 6EI LL If the basic differential equation of the elastic curve for the beam is given by: day a EI =-P-x dx2 L where E is the elastic modulus, I is the moment of inertia, P is the concentrated load and y is the deflection at location x. The boundary conditions are y(0) = y(L)=0. For the case of E=29e6 psi, I=723 in, P=50,000 lb, a=36 in and L=180 in, solve for the deflection of the beam using: a- (For all students) The finite difference method with an interval =36 in. Type the equations in details in a Word document. No credit will be given if the details of how the equations are produced are not shown. Provide a plot comparing your results against the analytical solution. (Hint: Use the discretization scheme shown below. Note that even though the deflection at node 5 is zero, you will still need to apply the FD approximation of the ODE at that node to obtain yo). b- (For students taking the course at the 7000 level-Bonus for students taking the course at the 5000 level) Redo item (a) using an interval equal to 1 in. Comment on the results. C- (For all students) The shooting method employing MATLAB's ODE45. Provide a plot comparing your results against the analytical solution. (Hint: Note that the second boundary condition is not at the end of the beam but at B.) y = Part 2 - 0"] The exact deflection of the overhanging beam shown in the Figure below is given by: Pal? [x 6EI LL If the basic differential equation of the elastic curve for the beam is given by: day a EI =-P-x dx2 L where E is the elastic modulus, I is the moment of inertia, P is the concentrated load and y is the deflection at location x. The boundary conditions are y(0) = y(L)=0. For the case of E=29e6 psi, I=723 in, P=50,000 lb, a=36 in and L=180 in, solve for the deflection of the beam using: a- (For all students) The finite difference method with an interval =36 in. Type the equations in details in a Word document. No credit will be given if the details of how the equations are produced are not shown. Provide a plot comparing your results against the analytical solution. (Hint: Use the discretization scheme shown below. Note that even though the deflection at node 5 is zero, you will still need to apply the FD approximation of the ODE at that node to obtain yo). b- (For students taking the course at the 7000 level-Bonus for students taking the course at the 5000 level) Redo item (a) using an interval equal to 1 in. Comment on the results. C- (For all students) The shooting method employing MATLAB's ODE45. Provide a plot comparing your results against the analytical solution. (Hint: Note that the second boundary condition is not at the end of the beam but at B.)
