Question

4. (30 pts) The basic differential equation of the elastic curve for a simply supported, uniformly loaded beam, as shown in the Figure below, is given as $\frac{EI d^2y}{dx^2} = \frac{wLx}{2} - \frac{wx^2}{2}$ where $E$ = the modulus of elasticity and $I$ = the moment of inertia. The boundary conditions are $y(0) = y(L) = 0$. Solve for the deflection ($y$) of the beam using the Finite-Difference Method with $\Delta x = 1 m$ manually (but use MATLAB as your computational aids is permitted). The following parameter values apply: $E = 200 Gpa$, $I = 30,000 cm^4$, $w = 15 kN/m$, and $L = 6 m$. (Show your work!) Please upload MATLAB commands you used, calculation results and plot (copy and paste to a word or pdf file) on Brightspace under Exams category in Assessments/Assignments.

          4. (30 pts) The basic differential equation of the elastic curve for a simply
supported, uniformly loaded beam, as shown in the Figure below, is
given as
$\frac{EI d^2y}{dx^2} = \frac{wLx}{2} - \frac{wx^2}{2}$
where $E$ = the modulus of elasticity and $I$ = the moment of inertia. The
boundary conditions are $y(0) = y(L) = 0$. Solve for the deflection ($y$)
of the beam using the Finite-Difference Method with $\Delta x = 1 m$
manually (but use MATLAB as your computational aids is permitted).
The following parameter values apply: $E = 200 Gpa$, $I = 30,000 cm^4$,
$w = 15 kN/m$, and $L = 6 m$. (Show your work!) Please upload
MATLAB commands you used, calculation results and plot (copy and
paste to a word or pdf file) on Brightspace under Exams category in
Assessments/Assignments.

4. (30 pts) The basic differential equation of the elastic curve for a simply
supported, uniformly loaded beam, as shown in the Figure below, is
given as
(EI d^2y)/(dx^2) = (wLx)/(2) - (wx^2)/(2)
where E = the modulus of elasticity and I = the moment of inertia. The
boundary conditions are y(0) = y(L) = 0. Solve for the deflection (y)
of the beam using the Finite-Difference Method with Δ x = 1 m
manually (but use MATLAB as your computational aids is permitted).
The following parameter values apply: E = 200 Gpa, I = 30,000 cm^4,
w = 15 kN/m, and L = 6 m. (Show your work!) Please upload
MATLAB commands you used, calculation results and plot (copy and
paste to a word or pdf file) on Brightspace under Exams category in
Assessments/Assignments.

Added by Joaquin J.

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