Deflection Checker Calculator
Check beam deflection against code limits (L/240, L/360, L/480, L/600) using δ = 5wL⁴/(384EI).
Inputs
IBC Table 1604.3: roof L/180 (live) to L/240 (total); floor L/240–L/360; sensitive finishes L/480–L/600
Results
Actual Deflection
6.33 mm
Passes Check?
1 (1=yes, 0=no)
How to Use This Calculator
- Enter the beam span in feet and the total uniform load in kips per foot.
- Input the modulus of elasticity and the moment of inertia for the selected section.
- Set the allowable deflection limit (span/240, span/360, span/480) based on the application.
- Review the Calculated Deflection in inches and the Deflection-to-Span Ratio.
- If the calculated deflection exceeds the limit, increase the section depth or pre-camber the beam.
How the result changes with Span Length
| Span Length | Actual Deflection | Passes Check? |
|---|---|---|
| 3.45 | 0.69 mm | 1 (1=yes, 0=no) |
| 11 | 71.49 mm | 0 (1=yes, 0=no) |
| 20 | 781.25 mm | 0 (1=yes, 0=no) |
| 27 | 2,594.93 mm | 0 (1=yes, 0=no) |
What each input means
- Span Length
- Clear span of the beam between supports.
- Uniform Load
- Total uniformly distributed load on the beam.
- Elastic Modulus (E)
- Modulus of elasticity. Steel = 200,000, concrete ~25,000, wood ~12,000 MPa.
- Moment of Inertia (I)
- Second moment of area of the beam cross-section about the bending axis.
- Deflection Limit
- Deflection limit per IBC Table 1604.3 and AISC Design Guide 3. 1=L/240 (roof live, or floor without brittle finishes); 2=L/360 (floor supporting plaster/brittle finish, most common); 3=L/480 (ceilings, long-term); 4=L/600 (sensitive equipment/facades).
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersSpan Length = 6, Uniform Load = 15, Elastic Modulus (E) = 200000, Moment of Inertia (I) = 200000000 = 5 input(s) provided
- Calculate Actual DeflectionActual Deflection6.33 = 6.33
- Calculate Passes Check?Passes Check?1 = 1
- Calculate Allowable DeflectionAllowable Deflection16.67 = 16.67
- Calculate Actual / AllowableActual / Allowable0.38 = 0.38
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