[ EI \fracd^4ydx^4 = w ]
slope = (n * sum_xy - sum_x * sum_y) / (n * sum_x2 - sum_x**2) intercept = (sum_y - slope * sum_x) / n return slope, intercept def poly_fit(x, y, degree): coeffs = np.polyfit(x, y, degree) return np.poly1d(coeffs) strain = np.array([0.0, 0.05, 0.10, 0.15, 0.20]) stress = np.array([0.0, 35.2, 68.4, 99.7, 128.5]) Numerical Methods In Engineering With Python 3 Solutions
This guide gives you for typical engineering numerical methods problems. Each block can be extended to full assignments or projects. [ EI \fracd^4ydx^4 = w ] slope =
Boundary conditions: ( y(0)=0, y(L)=0, y''(0)=0, y''(L)=0 ). We solve by converting to 1st-order system
We solve by converting to 1st-order system.
# Using linearity: find correct guess via linear combination # Two trial guesses sol1 = solve_ivp(beam_ode, (0, L), [0, 0, 0, 1], t_eval=[L]) sol2 = solve_ivp(beam_ode, (0, L), [0, 1, 0, 0], t_eval=[L])