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

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Connections

In steel structures, connections are the members that join two or more steel members. The connections are the most important members of any steel structure, and hence, they are designed more carefully. The majority of the construction cost of steel structures is incurred due to the connections. The design of connections is done as per the recommendations and specifications of the American Institute of Steel Construction (AISC).

Question

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.)

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Step 2: (a) The beam is simply supported at both ends

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Step 3: Boundary condition:

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Step 4: (b) Use a graphing utility to graph the deflection curve

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Step 5: (c) Use a root-finding application of a CAS

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