Beam Analysis – Shear Force & Bending Moment Diagram Tool

• Positive Shear: Upward force on the left of a section
• Positive Moment: Causes compression on the top fiber of the beam
• Max bending moment usually occurs where shear force is zero
• Always double-check units when switching systems
• For UDLs, enter the total load per unit length (e.g., kN/m or lb/ft)
• Moments are positive when causing tension on the bottom fiber

Bending moment and shear force analysis is crucial in designing safe and efficient structures. This tool leverages fundamental statics equations and classical mechanics principles to visualize internal forces in beams — concepts widely taught in mechanical and civil engineering curricula.

Key Concepts:

• Shear Force (V): The algebraic sum of all vertical forces acting on either side of a section
• Bending Moment (M): The algebraic sum of moments about the section of all forces acting on either side
• Equilibrium Equations: ΣFy = 0 (sum of vertical forces) and ΣM = 0 (sum of moments)

Reference Table: