Figure P24.25a shows a uniform beam subject to a linearly increasing distributed load. The equation for the re- sulting elastic curve is (see Fig. P24.25b) EI- (Lx -)-0 dx Note that the analytical solution for the resulting elastic curve is (see Fig. P24.25b) Wo (-x+24x-Lx) 120 EIL Use bvp4c to solve for the differential equation for the elastic curve for L 600 cm, E 50,000 kN/cm2, I 30,000 cm, and w 2.5 kN/cm. Then, plot both the numerical (points) and the analytical (lines) solutions on the same graph.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Figure P24.25a shows a uniform beam subject to a
linearly increasing distributed load. The equation for the re-
sulting elastic curve is (see Fig. P24.25b)
EI
dx
Note that the analytical solution for the resulting elastic
curve is (see Fig. P24.25b)
Wo(-x +24x -L*x)
120 EIL
Use bvp4c to solve for the differential equation for the elastic
curve for L 600 cm, E 50.000 kN/cm2, I 30,000 cm,
and w 2.5 kN/cm. Then, plot both the numerical (points)
and the analytical (lines) solutions on the same graph.
Transcribed Image Text:Figure P24.25a shows a uniform beam subject to a linearly increasing distributed load. The equation for the re- sulting elastic curve is (see Fig. P24.25b) EI dx Note that the analytical solution for the resulting elastic curve is (see Fig. P24.25b) Wo(-x +24x -L*x) 120 EIL Use bvp4c to solve for the differential equation for the elastic curve for L 600 cm, E 50.000 kN/cm2, I 30,000 cm, and w 2.5 kN/cm. Then, plot both the numerical (points) and the analytical (lines) solutions on the same graph.
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