The basic differential equation of the elastic curve for a cantilever beam is given by the following ODE as: Given L = 120 inches; E = 30,000 ksi; I = 800 in4; P=1 kip Initial Condition: y(0) = 0 Solve numerically the ODE for beam deflection y(x) with ∆x = 20 inches, using Euler’s Method. Write the Euler’s equations for the first two nodes and show your computational work. You can use an Excel file for the rest.Tabulate the results and Plot (x,y).
The basic differential equation of the elastic curve for a cantilever beam is given by the following ODE as: Given L = 120 inches; E = 30,000 ksi; I = 800 in4; P=1 kip Initial Condition: y(0) = 0 Solve numerically the ODE for beam deflection y(x) with ∆x = 20 inches, using Euler’s Method. Write the Euler’s equations for the first two nodes and show your computational work. You can use an Excel file for the rest.Tabulate the results and Plot (x,y).
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The basic differential equation of the elastic curve for a cantilever beam is given by the
following ODE as:
Given L = 120 inches; E = 30,000 ksi; I = 800 in4; P=1 kip
Initial Condition: y(0) = 0
Solve numerically the ODE for beam deflection y(x) with ∆x = 20 inches, using
Euler’s Method. Write the Euler’s equations for the first two nodes and show your
computational work. You can use an Excel file for the rest.Tabulate the results and Plot (x,y).
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