A steel I-beam to is designed under the tank for holding it. You know that the deflection of the beam should be limited in order to provide stability for the structure, Therefore, you start with calculating the deflection of the beam under the weight of the tank that can be assumed as a distributed load as shown below. Giver 0.76 in 0.1 k/in A L = 108 in OB 14.92 in N.A. 0.543 in E = 29000 ksi 10.47 in 28.32 in 0.76 in Find: (a) Using equilibrium, solve for the reactions for the beam. (b) Draw the V, M diagram for the beam shown. Label all key points. (c) Calculate the value of the moment of inertia about the neutral axis. (d) Using the method of integration, calculate the equation of the deflected shape of the beam, y(x). (e) Calculate the maximum deflection of the beam under the weight of the tank.
A steel I-beam to is designed under the tank for holding it. You know that the deflection of the beam should be limited in order to provide stability for the structure, Therefore, you start with calculating the deflection of the beam under the weight of the tank that can be assumed as a distributed load as shown below. Giver 0.76 in 0.1 k/in A L = 108 in OB 14.92 in N.A. 0.543 in E = 29000 ksi 10.47 in 28.32 in 0.76 in Find: (a) Using equilibrium, solve for the reactions for the beam. (b) Draw the V, M diagram for the beam shown. Label all key points. (c) Calculate the value of the moment of inertia about the neutral axis. (d) Using the method of integration, calculate the equation of the deflected shape of the beam, y(x). (e) Calculate the maximum deflection of the beam under the weight of the tank.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question

Transcribed Image Text:A steel I-beam to is designed under the tank for holding it. You know that the deflection of the
beam should be limited in order to provide stability for the structure, Therefore, you start with
calculating the deflection of the beam under the weight of the tank that can be assumed as a
distributed load as shown below.
Giver
0.76 in
0.1 k/in
A
L = 108 in
OB
14.92 in
N.A.
0.543 in
E = 29000 ksi
10.47 in
28.32 in
0.76 in
Find:
(a) Using equilibrium, solve for the reactions for the
beam.
(b)
Draw the V, M diagram for the beam shown. Label
all key points.
(c)
Calculate the value of the moment of inertia about
the neutral axis.
(d)
Using the method of integration, calculate the
equation of the deflected shape of the beam, y(x).
(e) Calculate the maximum deflection of the beam
under the weight of the tank.
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