An 11-m beam is subjected to a load, and the shear force follows the equation V(x) = 5 +0.25x² where V is the shear force and x is length in distance along the beam. We know that V = dM/dx, am M is the bending moment. Integration yields the relationship M = M₁ + + f²v V dx

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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ChapterA: Appendix
SectionA.2: Geometric Constructions
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An 11-m beam is subjected to a load, and the shear force follows the equation
V(x) = 5 +0.25x²
=
where V is the shear force and x is length in distance along the beam. We know that V
M is the bending moment. Integration yields the relationship
M = M₁ +
+ f*v dx
V
If Mo is zero and x = 11, calculate M using
(a) analytical integration,
(b) trapezoidal rule, and
(c) Simpson's rule
dM/dx, and
Transcribed Image Text:An 11-m beam is subjected to a load, and the shear force follows the equation V(x) = 5 +0.25x² = where V is the shear force and x is length in distance along the beam. We know that V M is the bending moment. Integration yields the relationship M = M₁ + + f*v dx V If Mo is zero and x = 11, calculate M using (a) analytical integration, (b) trapezoidal rule, and (c) Simpson's rule dM/dx, and
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