A uniform beam is fixed at end x=0 and simply supported at x = L.Find the shape of the center line of the beam, given the weight perunit Length is w.a.b.C.e.Oy(x) =d. y(x) =ay(x) =y(x) =y(x) =W24 El-[x4 - 4Lx³ +6L²x²]=[x4-2Lx³ + L²x²]-[x4-2Lx³ + L³x]-[2x4-5Lx³+3L²x²][2x4-3L³x³ +3L²x²]W24 ElW24 ElW24 El-W24 EI

Solution: Given Data: To Find: Shape of the center line of the beam.

A uniform beam is fixed at end x=0 and simply supported at x = L. Find the shape of the center line of the beam, given the weight per unit Length is w. a. y(x)= -[x4-4Lx³ +6L²x²] b. =[x4-2Lx³ + L²x²] y(x)=. -[x4-2Lx³ + L³x] C. d. e. y(x) = W 24 El W 24 El W 24 El y(x)= -[2x4-5Lx³+3L²x²] v(x)= -[2×4−3L³x³+3L²x²] W 24 EI W 24 El

A uniform beam is fixed at end x=0 and simply supported at x = L. Find the shape of the center line of the beam, given the weight per unit Length is w. a. y(x)= -[x4-4Lx³ +6L²x²] b. =[x4-2Lx³ + L²x²] y(x)=. -[x4-2Lx³ + L³x] C. d. e. y(x) = W 24 El W 24 El W 24 El y(x)= -[2x4-5Lx³+3L²x²] v(x)= -[2×4−3L³x³+3L²x²] W 24 EI W 24 El

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

A uniform beam is fixed at end x=0 and simply supported at x = L.
Find the shape of the center line of the beam, given the weight per
unit Length is w.
a.
b.
C.
e.
O
y(x) =
d. y(x) =
a
y(x) =
y(x) =
y(x) =
W
24 El
-[x4 - 4Lx³ +6L²x²]
=[x4-2Lx³ + L²x²]
-[x4-2Lx³ + L³x]
-[2x4-5Lx³+3L²x²]
[2x4-3L³x³ +3L²x²]
W
24 El
W
24 El
W
24 El
-
W
24 EI

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