Beam Calculator

Deflection, bending stress and reactions for common beam loadings.

🏗️ Structural Beam CalculatorCalculate bending stress, deflection, and shear for beams with various supports and loads
Beam ConfigurationMaterial
Cross Section
Support Type
Beam Length (mm)
LoadingLoad Type
Load Intensity (N/m)
Section DimensionsWidth (b) (mm)
Height (h) (mm)
Beam Analysis ResultsMax Deflection
0.79mm
Deflection Ratio
L/3793
Max Moment
11.25kN·m
Max Shear
15.00kN
Bending Stress
16.88MPa
Shear Stress
1.13MPa
Bending SF
14.81
Shear SF
128.30
Support ReactionsReaction A (Left)
15.00kN
Reaction B (Right)
15.00kN
Beam Weight
471.00kg
Material Fy
250.00MPa
Section PropertiesArea (A)
20000.00mm²
Moment of Inertia (I)
6.67e+7mm⁴
Section Modulus (S)
666666.67mm³
Radius of Gyration (r)
57.74mm
Deflection DiagramElastic curve (exaggerated)
Moment & Shear DiagramsBending moment and shear force distribution
Design Guidelines• Deflection Limits: L/360 for floors (live load), L/240 for roofs, L/180 for cantilevers
• Safety Factor: Minimum SF = 1.5 for bending stress in static applications, higher for fatigue/dynamic
• Shear Stress: Critical near supports; check for buckling in thin web sections
• Compact Sections: For I-beams, ensure b/2tf ≤ 0.38√(E/Fy) and h/tw ≤ 3.76√(E/Fy)
• Lateral Bracing: Unbraced compression flanges may buckle; provide lateral restraint at intervals

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🏗️ Structural Beam CalculatorCalculate bending stress, deflection, and shear for beams with various supports and loads
Beam ConfigurationMaterial
Cross Section
Support Type
Beam Length (mm)
LoadingLoad Type
Load Intensity (N/m)
Section DimensionsWidth (b) (mm)
Height (h) (mm)
Beam Analysis ResultsMax Deflection
0.79mm
Deflection Ratio
L/3793
Max Moment
11.25kN·m
Max Shear
15.00kN
Bending Stress
16.88MPa
Shear Stress
1.13MPa
Bending SF
14.81
Shear SF
128.30
Support ReactionsReaction A (Left)
15.00kN
Reaction B (Right)
15.00kN
Beam Weight
471.00kg
Material Fy
250.00MPa
Section PropertiesArea (A)
20000.00mm²
Moment of Inertia (I)
6.67e+7mm⁴
Section Modulus (S)
666666.67mm³
Radius of Gyration (r)
57.74mm
Deflection DiagramElastic curve (exaggerated)
Moment & Shear DiagramsBending moment and shear force distribution
Design Guidelines• Deflection Limits: L/360 for floors (live load), L/240 for roofs, L/180 for cantilevers
• Safety Factor: Minimum SF = 1.5 for bending stress in static applications, higher for fatigue/dynamic
• Shear Stress: Critical near supports; check for buckling in thin web sections
• Compact Sections: For I-beams, ensure b/2tf ≤ 0.38√(E/Fy) and h/tw ≤ 3.76√(E/Fy)
• Lateral Bracing: Unbraced compression flanges may buckle; provide lateral restraint at intervals