Derive the expression for internal bending moment of the beam
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How to Find the Internal Bending Moment of a Beam
Step 1: Problem Definition. ...
Step 2: State the Boundary Conditions. ...
Step 3: Set-up the Differential Equation. ...
Step 4: First Integration to Obtain V(x) ...
Step 5: Second Integration to Obtain M(x) ...
Step 6: Defining the Full Equation for the Internal Bending Moment
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Calculate BM: M = Fr (Perpendicular to the force) In equilibrium, so ΣMA = 0 But to find the Bending Moment, you must cut the beam in two. Bending moment is INTERNAL, moment is EXTERNAL. A good way to double-check is to do moments for BOTH sides and compare. In engineering, we are concerned with the MAXIMUM BM.
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