enter line of the beam, given the weight per unit Length is w. . y(x)=. W[x4-4Lx³ +6L²x²] 1. . . 24 El W 24 El y(x)=- -[x4-2Lx³ + L²x²] v(x) = w[x4-2Lx³ + L³x] El v(x)=[2x4-5Lx³+3L²x²] W

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A uniform beam is fixed at one end x = 0 and free at the other end x = L. Find the shape of the
center line of the beam, given the weight per unit Length is w.
a.
b.
C.
d.
e.
O
O
a
O
O C
Od
e
W
y(x) = -[x4-4Lx³ +6L²x²]
24 El
-[x4-2Lx³ + L²x²]
-[x4-2Lx³+ [³x]
L
[2x4-5Lx³+3L²x²]
y(x) =
y(x) =
y(x) =
W
24 El
W
24 El
W
24 El
W
y(x) = [2x4-3L³x³ +3L²x²]
24 El
Transcribed Image Text:A uniform beam is fixed at one end x = 0 and free at the other end x = L. Find the shape of the center line of the beam, given the weight per unit Length is w. a. b. C. d. e. O O a O O C Od e W y(x) = -[x4-4Lx³ +6L²x²] 24 El -[x4-2Lx³ + L²x²] -[x4-2Lx³+ [³x] L [2x4-5Lx³+3L²x²] y(x) = y(x) = y(x) = W 24 El W 24 El W 24 El W y(x) = [2x4-3L³x³ +3L²x²] 24 El
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