Back to Library
Module: Beam DeflectionVersion: v1.0.0Method: Euler–Bernoulli

Beam Deflection Calculator

Maximum deflection and bending moment of a simply-supported beam, with an L/ratio serviceability check.

Single concentrated load P at mid-span of a simply-supported beam

1

Beam Data

kN
m
GPa
mm⁴
L /

Beam Diagram

P 15 kNR 7.5 kNR 7.5 kNδmaxL 5 mBMDMmax

Deflected shape exaggerated · values appear after Calculate

2

Results

Ready to calculate

Enter values and press Calculate to see results.

4

Reference Codes & Standards

AISC 360Governing Code

Specification for Structural Steel Buildings

Scope:Serviceability deflection guidance (typical L/240, L/360 limits).
IBC 1604.3Governing Code

International Building Code — Deflection Limits

Scope:Tabulated span/deflection ratios for floor and roof members.
EN 1993-1-1Governing Code

Eurocode 3 — Design of Steel Structures, General Rules

Scope:Serviceability limit states for beam deflection.
Literature & Further Reading
  • [1]Roark's Formulas for Stress and Strain (Young & Budynas) — beam deflection cases.
  • [2]Timoshenko, S. Strength of Materials, Part I — elastic bending of beams.
  • [3]Gere & Goodno, Mechanics of Materials — deflections of beams.
  • [4]Hibbeler, R. C. Structural Analysis — serviceability deflection limits.