Plot the deflection of a beam with a length of 3 m, the modulus of elasticity of E = 200 GPa, and I = 1.2 ✕ 106 mm4 for a sign weighing 1,500 N. Slope at x=L
Plot the deflection of a beam with a length of 3 m, the modulus of elasticity of E = 200 GPa, and I = 1.2 ✕ 106 mm4 for a sign weighing 1,500 N. Slope at x=L
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
Plot the deflection of a beam with a length of 3 m, the modulus of elasticity of
E = 200 GPa, and I = 1.2 ✕ 106 mm4 for a sign weighing 1,500 N.
Slope at x=L
![The deflection of a cantilevered beam supporting the weight of an advertising sign is given by
-Wx²
(3L - x),
6EI
where we have the following.
y =
y =
W
E
=
deflection at a given x location (m)
weight of the sign (N)
modulus of elasticity (N/m²)
second moment of area (m²)
distance from the support as shown (m)
I =
x =
L = length of the beam (m)
X
L
Sign](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd261088c-f753-45e4-ae14-7adbaf3c257c%2F9956feec-14f7-4647-b467-58a48038246c%2Fttpprdt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The deflection of a cantilevered beam supporting the weight of an advertising sign is given by
-Wx²
(3L - x),
6EI
where we have the following.
y =
y =
W
E
=
deflection at a given x location (m)
weight of the sign (N)
modulus of elasticity (N/m²)
second moment of area (m²)
distance from the support as shown (m)
I =
x =
L = length of the beam (m)
X
L
Sign
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