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
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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 mmfor 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
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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