A simply supported beam of length L is subjected to linearly varying load, w: Figure 5. The bending moment, M, of the beam is expressed as M =" (x³ – 1²x) Given that dx2 M where El > 0 is the constant flexural rigidity of the be deflection, y, for the initial conditions at x = 0, y = 0, = 0 and x = L, y = dx
A simply supported beam of length L is subjected to linearly varying load, w: Figure 5. The bending moment, M, of the beam is expressed as M =" (x³ – 1²x) Given that dx2 M where El > 0 is the constant flexural rigidity of the be deflection, y, for the initial conditions at x = 0, y = 0, = 0 and x = L, y = dx
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A simply supported beam of length L is subjected to linearly varying load, wx, as shown in
Figure 5. The bending moment, M, of the beam is expressed as
M ="
(x³ – 1²x)
M
Given that
dx2
where El > 0 is the constant flexural rigidity of the beam, derive the
deflection, y, for the initial conditions at x = 0, y = 0, = 0 and x = L, y = 0.
W
Figure 5
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