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V(x) = 5 + 0.25.x ar force and x is length in distance along the beam. V = dM/dx, and M is the bending moment. Integration

V(x) = 5 + 0.25.x ar force and x is length in distance along the beam. V = dM/dx, and M is the bending moment. Integration

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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(1) A 10-m beam is subjected to a load, and the shear force follows the equation V(x) = 5 + 0.25.r? where V is the shear force and x is length in distance along the beam. V = dM/dx, and M is the bending moment. Integration yields the relationship We know that М — М, + V dx If Mo is zero and x =10 m, Calculate Musing (a) analytical integration, (b) trapezoidal rule (c) Simpson's 1/3rd rule. (Use 1 m increments).
Transcribed Image Text:(1) A 10-m beam is subjected to a load, and the shear force follows the equation V(x) = 5 + 0.25.r? where V is the shear force and x is length in distance along the beam. V = dM/dx, and M is the bending moment. Integration yields the relationship We know that М — М, + V dx If Mo is zero and x =10 m, Calculate Musing (a) analytical integration, (b) trapezoidal rule (c) Simpson's 1/3rd rule. (Use 1 m increments).
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