18. DETAILS Solve equation (4) in Section 5.2. Ely-w(x) (4) subject to the appropriate boundary conditions. The beam is of length L, and wo is a constant. (a) The beam is simply supported at both ends, and w(x) = wgx, 0
18. DETAILS Solve equation (4) in Section 5.2. Ely-w(x) (4) subject to the appropriate boundary conditions. The beam is of length L, and wo is a constant. (a) The beam is simply supported at both ends, and w(x) = wgx, 0
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Please answer parts a, b, and c.

Transcribed Image Text:18.
DETAILS
Solve equation (4) in Section 5.2
EI - w(x) (4)
dªy
dx4
subject to the appropriate boundary conditions. The beam is of length L, and wo is a constant.
(a) The beam is simply supported at both ends, and w(x) = wgx, 0<x<L.
y(x) =
0.1
(b) Use a graphing utility to graph the deflection curve when wo = 36EI and L = 1.
y
y
0.2
0.3
0.4
0.3
y
0.1
0.2
0.3
0.4
PREVIOUS ANSWERS
oast
0.2
0.4
0.4
ZILLDIFFEQMODAP10 5.2.005.
0.6
0.6
0.8 1.0
0.8 1.0
X
0.1
0.2
0.3
0.4
0.3
y
0.1
0.2
0.3
0.4
0.5
✔
0.2
0.4
0.2 0.4
0.6
0.6
0.8
0.8
1.0
X
X
(c) Use a root-finding application of a CAS (or a graphic calculator) to approximate the point in the graph in part (b) at which the maximum deflection occurs. What is the maximum deflection? (Round your answer to six decimal places.)
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