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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 = dM/dx, ar M is the bending moment. Integration yields the relationship M = M₁ + Sv If Mo is zero and x = 11, calculate M using (a) analytical integration, (b) trapezoidal rule, and (c) Simpson's rule V dx

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, ar M is the bending moment. Integration yields the relationship M = M₁ + Sv If Mo is zero and x = 11, calculate M using (a) analytical integration, (b) trapezoidal rule, and (c) Simpson's rule V dx

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 = dM/dx, and M is the bending moment. Integration yields the relationship M = M₁ + + [*v dx V If Mo is zero and x = 11, calculate M using (a) analytical integration, (b) trapezoidal rule, and (c) Simpson's rule
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 = dM/dx, and M is the bending moment. Integration yields the relationship M = M₁ + + [*v dx V If Mo is zero and x = 11, calculate M using (a) analytical integration, (b) trapezoidal rule, and (c) Simpson's rule
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