Answer Happy

Derive a numerical method formula and write the Octave code
using Euler's method.
The basic differential equation of the elastic curve for a uniformly loaded beam as shown in the figure is given as wLx wx² d²y ΕΙ dx² - - 2 2 where E = the modulus of elasticity and I= the moment of inertia. Solve for the deflection of the beam using the implicit method (Ax=2 ft). The following parameter values apply: E = 30,000 ksi, I = 800 in, w = 1 kip/ft, L= 10 ft. Compare your numerical results to the analytical solution given by 4 wLx³ wx wL³x y = 12EI 24EI 24EI 10. MOTON