Solve equation (4) in Section 5.2 EI dY = w(x) dx4 (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 < x < L. y(x) =| . (b) Use a graphing utility to graph the deflection curve when wo = 36EI and L = 1. y 0.2 0.4 0.6 0.8 1.0 0.2 04 0.6 0.8 1.0 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.4 0.5 0.5 y 0.4 0.6 1.0 0.2 0.4 0.6 0.8 1.0 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.4 0.5 0.5 (c) Use a root-finding application of a CAS (or a graphic calculator) to approximate the polnt in the graph in part (b) at which the maximum deflection occurs. What is the maximum deflection? (Round your answer to six decimal places
Solve equation (4) in Section 5.2 EI dY = w(x) dx4 (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 < x < L. y(x) =| . (b) Use a graphing utility to graph the deflection curve when wo = 36EI and L = 1. y 0.2 0.4 0.6 0.8 1.0 0.2 04 0.6 0.8 1.0 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.4 0.5 0.5 y 0.4 0.6 1.0 0.2 0.4 0.6 0.8 1.0 0.1 0.1 0.2 0.2 0.3 0.3 0.4 0.4 0.5 0.5 (c) Use a root-finding application of a CAS (or a graphic calculator) to approximate the polnt in the graph in part (b) at which the maximum deflection occurs. What is the maximum deflection? (Round your answer to six decimal places
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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52
Transcribed Image Text:Solve equation (4) in Section 5.2
EI
= w(x)
(4)
dx
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) = wox, 0 <x < L.
Y(x) =
(b) Use a graphing utility to graph the deflection curve when wo = 36EI and L = 1.
y
y
0.2
0.4
0.6
0.8
1.0
0.2
0.4
0.6
0.8
1.0
0.1
0.1
0.2
0.2
0.3
0.3
0.4
0.4
0.5
0.5
y
y
6.2
0.4
0.6
0.8
1.0
0.2
0.4
0.6
0.8
1.0
0.1
0.1
0.2
0.2
0.3
0.3
0.4
0.4
0.5
0.5
(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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