A uniform beam is simply supported at both ends x = 0 and x = L. Find the shape of the center line of the beam, given the weight per unit Length is w. a. y(x) = -[x4 – 4 Lx3 + 6L?x²] 24 El y(x)= 24 EI b. 24EX*- 2 Lx3 + L?x²] c. v(x) = [x^ – 2 Lx3 + L³x] 24 EI v(x) =. -[2x4 -5 Lx3 + 3L²x²] 24 EI d. [2x4 - 3L³x³ + 3L²x²] 24EI e. v(x) =

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.7.2P: .2 A ligmio.irc ii supported by two vorlical beams consistins: of thin-walled, tapered circular...
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A uniform beam is simply supported at both ends x = 0 and x = L. Find the shape of the center line
of the beam, given the weight per unit Length is w.
v(x) =
[xª – 4 Lx3 + 6L?x²]
24 EI
a.
y(x) =
[x4 – 2Lx3 + L?x²]
24 EI
b.
2AEX1- 2Lx3 + L³x]
24 EI
C.
v(x) =
v(x) =
[2x4 -5 Lx3 + 3L?x²]
24 EI
d.
y(x) =
[2x4 - 3L³x3 +3L²x²]
е.
24 EI
Transcribed Image Text:A uniform beam is simply supported at both ends x = 0 and x = L. Find the shape of the center line of the beam, given the weight per unit Length is w. v(x) = [xª – 4 Lx3 + 6L?x²] 24 EI a. y(x) = [x4 – 2Lx3 + L?x²] 24 EI b. 2AEX1- 2Lx3 + L³x] 24 EI C. v(x) = v(x) = [2x4 -5 Lx3 + 3L?x²] 24 EI d. y(x) = [2x4 - 3L³x3 +3L²x²] е. 24 EI
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