Beam Load Calculator
Calculate support reactions for simply-supported beams with multiple point loads and distributed loads
Beam Load Calculator
Beam Properties
Point Loads
Additional Loads
Support Reactions
Beam Span: 0 m
Number of Point Loads: 1
Beam Weight: Not included
Distributed Load: Not included
Load Balance: NaN% difference
Verification: ΣFy = 0.000 ≈ 0
Calculation Method
Moment Equilibrium about Support A:
ΣMA = 0: Σ(Fi × xi) - RB × L = 0
Force Equilibrium:
ΣFy = 0: ΣFi - RA - RB = 0
Where Fi = forces, xi = distances from A, L = span length
Understanding Beam Load Analysis
Key Concepts
Support Reactions
Forces exerted by supports in response to applied loads
Moment Equilibrium
Sum of moments about any point equals zero for static equilibrium
Force Equilibrium
Sum of vertical forces equals zero for static equilibrium
Simply Supported Beam
Beam with pin support at one end and roller support at the other
Load Types
Calculation Steps
1. Draw Free Body Diagram
Identify all forces and their positions
2. Apply Moment Equilibrium
ΣMA = 0: Calculate RB first
3. Apply Force Equilibrium
ΣFy = 0: Calculate RA
4. Verify Results
Check that RA + RB = Total Load
Design Considerations
Balanced Loading
Equal reactions indicate symmetric loading
Support Design
Design supports for maximum reaction forces
Load Path
Ensure clear load transfer to foundations
Safety Factors
Apply appropriate factors for design loads