Help me find the answers. I really don't know how to do triangular loading for Finite Elements.
Determine the deflection and the slope of the simply supported beam shown in the figure below by means of the finite elements method using only 2 finite elements. The beam is made of steel, has a circular cross-section, and is subject to a triangular loading as shown in the figure.
L = 1m, E = 200 GPa (steel), W = 500 N/m, d(x) = 1 cm.
What are the deflection and the slope at x = 1? Plot the deflection y(x) and θ(x) vs. x over the whole length of the beam.
Determine the deflection and the slope at x = L/2 for n = 3, 4, 5. To show the convergence of the finite elements solution, plot y(L/2) and θ(L/2) vs. n = 2, 3, 4, 5. (You do not need to plot the deflection y(x) and θ(x) vs. x for each of n = 3, 4, 5).