Beam Moment and Shear Diagram Calculator
Free online structural analysis calculator specialized in bending moment and shear force diagrams for beams. The selection of the appropriate beam configuration and loading conditions is fundamental in structural design, as it allows obtaining a detailed summary of all structural properties with professional precision.
These include equations for resultant forces, shear forces and
bending moments, crucial for beam analysis and design. The
beam calculators are available in both metric and imperial units as well as MKS
facilitating the process of evaluating and optimizing structural beams.
Continuous Beams or Custom Configurations?
For more flexible analysis with multiple spans, variable loads and different support types
Ir a Beam Solver
Simply Supported Beams
Beams Fixed at One End
Beams Fixed at Both Ends
Cantilever Beams
Single Span and Cantilever Beams
Two Span Beams
Three Span Beams
Calculation Methodology
Bending Moment Diagrams
Graphical representation of bending moments along the beam. Fundamental for determining maximum moment and locating critical sections for structural design.
Shear Force Diagrams
Graph showing the variation of shear force at each point of the beam. Essential for verifying shear resistance and determining necessary transverse reinforcement.
Support Reactions
Reactive forces and moments at beam support points. Critical for the design of foundations, columns and structural connections.
Frequently Asked Questions about Beam Analysis
How to interpret a bending moment diagram?
The bending moment diagram shows the magnitude of internal moment at each point of the beam. Positive values indicate bending that causes tension in the bottom fiber, while negative values cause tension in the top fiber.
What is more critical: maximum moment or maximum shear?
Both are critical but for different aspects. Maximum moment determines section sizing and longitudinal reinforcement, while maximum shear defines transverse reinforcement and verifies shear resistance.
How do support conditions affect the results?
Support conditions fundamentally determine structural behavior. Simple supports allow rotation, fixed supports restrict rotation and translation, and cantilevers generate significant negative moments.
When to use continuous beams vs simple beams?
Continuous beams are more structurally efficient, reduce maximum positive moments and deflections, but generate negative moments over supports. They are ideal for long spans and heavy loads.
What is Calculated in Beam Analysis?
Metric, Imperial and MKS Units
All calculators are available in metric system (kN, m, MPa), imperial system (lb, ft, ksi) and MKS (Ton, m, kg/cm2), for greater versatility in international projects.
Instant Results
Real-time calculations with automatic validation of input data. Immediate visualization of diagrams and accurate numerical values.
Verified Formulas
All equations are based on classical beam theory, ensuring professional accuracy in results.