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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 = Mo + S, Vdx. If Mo = 0, calculate M across the length of the beam using (a) Composite trapezoidal rule with 1-m increment (b) Composite Simpson's rule with 1-m increment

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 = Mo + S, Vdx. If Mo = 0, calculate M across the length of the beam using (a) Composite trapezoidal rule with 1-m increment (b) Composite Simpson's rule with 1-m increment

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 = M, + S Vdx. If Mo = 0, calculate M across the length of the beam using (a) Composite trapezoidal rule with 1-m increment (b) Composite Simpson's rule with 1-m increment
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 = M, + S Vdx. If Mo = 0, calculate M across the length of the beam using (a) Composite trapezoidal rule with 1-m increment (b) Composite Simpson's rule with 1-m increment
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