W ROTON = = 9 The basic differential equation of the elastic curve for a uniformly loaded beam is given as dy wLx wx? ΕΙ
Posted: Mon May 16, 2022 8:45 am
W ROTON = = 9 The basic differential equation of the elastic curve for a uniformly loaded beam is given as dy wLx wx? ΕΙ dx² 2 2 where E = 30,000 ksi, I = 800 in*, w = 0.08333 kip/in, L = 120 in. Solve for the deflection of the beam using the Finite Difference Method with Ar = 24 in and y(0) = y(120) = 0 (boundary values) Provide: (a – 10 pts) The discrete model equation using the 2nd Order Centered Method (b – 10 pts) The system of equations to be solved after substituting all numerical values (c - 10 pts) Solve the system with Python and provide the profile for the deflection (only the values) for all discrete points, including boundary values L