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Calcimator

Deflection Checker Calculator

Check beam deflection against code limits (L/240, L/360, L/480, L/600) using δ = 5wL⁴/(384EI).

Inputs

ft
kN/m
MPa
mm⁴
(1=L/240, 2=L/360, 3=L/480, 4=L/600)

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)

Allowable Deflection16.67 mm
Actual / Allowable0.38
How to Use This Calculator
  1. Enter the beam span in feet and the total uniform load in kips per foot.
  2. Input the modulus of elasticity and the moment of inertia for the selected section.
  3. Set the allowable deflection limit (span/240, span/360, span/480) based on the application.
  4. Review the Calculated Deflection in inches and the Deflection-to-Span Ratio.
  5. If the calculated deflection exceeds the limit, increase the section depth or pre-camber the beam.

How the result changes with Span Length

Span LengthActual DeflectionPasses Check?
3.450.69 mm1 (1=yes, 0=no)
1171.49 mm0 (1=yes, 0=no)
20781.25 mm0 (1=yes, 0=no)
272,594.93 mm0 (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

  1. Identify Input Parameters
    4 parameters
    Span Length = 6, Uniform Load = 15, Elastic Modulus (E) = 200000, Moment of Inertia (I) = 200000000 = 5 input(s) provided
  2. Calculate Actual Deflection
    Actual Deflection
    6.33 = 6.33
  3. Calculate Passes Check?
    Passes Check?
    1 = 1
  4. Calculate Allowable Deflection
    Allowable Deflection
    16.67 = 16.67
  5. Calculate Actual / Allowable
    Actual / Allowable
    0.38 = 0.38

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