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Solvers/structural/beam-deflection

Beam Deflection & Bending Stress Analyzer

Calculate reaction forces, maximum deflection, and generate live interactive Shear Force Diagrams (SFD) and Bending Moment Diagrams (BMD) for simply supported and cantilever beams with point and distributed loads.

Parameters & Loads

Max Deflection (δ)
5.063 mm
Max Moment (M_max)
22.50 kN·m
Max Shear Force
15.00 kN

Shear Force Diagram (SFD)V(x)

Bending Moment Diagram (BMD)M(x)

Step-by-Step Analytical Derivation

1. Reaction Forces

Symmetric reaction forces at both end pin/roller supports under uniform load.

2. Maximum Bending Moment

Occurs at mid-span where the shear force equals zero.

3. Maximum Midspan Deflection

Calculated via double integration method of elastic curve.

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Governing Equation

Analytical equations compliant with standard university curricula and professional engineering practice codes.