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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

Structural Analysis
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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Please answer parts a, b, and c.
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.)
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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