Beam Deflection & BendingEngineering

Structural Beam Deflection & Maximum Bending Stress Calculator

Calculate maximum central deflection (δ in mm), peak bending moment (M_max in N·m), and shear forces for simply supported structural beams under concentrated point loads.

Calculator Inputs

Live Real-Time
N
Quick select:
m
Quick select:
GPa
Quick select:
cm⁴
Quick select:
Calculated ResultBeam Deflection & Bending

Maximum Mid-Span Deflection (δ)

5.21mm

Maximum Bending Moment (M_max)

12,500 N·m

Support Reaction Shear Force (V)

5,000 N

Code Allowable Deflection Limit (L/360)

13.89 mm

Structural Safety Passed: Computed deflection remains safely within the L/360 engineering limit.

Deflection vs Allowable Limit

Actual Deflection
5.21 mm(27%)
Allowable Limit
13.89 mm(73%)

Detailed Calculation Breakdown

Actual Deflection
5.21 mm
Allowable Limit
13.89 mm

Calculation Methodology

Central Point Load Deflection: δ_max = (P * L^3) / (48 * E * I). Max Bending Moment: M_max = (P * L) / 4. Maximum Shear: V_max = P / 2.

Important Legal & Educational Disclaimer

This structural engineering mechanics tool computes elastic flexural beam deflection.

This calculator is designed for educational and informational purposes only based on public statutory frameworks. The outputs do not constitute binding financial, tax, or legal advice. We assume no liability for decisions made based on these estimations. Always verify with the relevant official authorities or a certified professional advisor.

Frequently Asked Questions

Common building codes recommend a live-load deflection limit of L/360 to prevent plaster cracking and floor bounce.
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