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Calcimator

Steel Joist Selection Calculator

Estimate loading and deflection-stiffness requirements for SJI K-Series/LH-Series steel joist selection, including a preliminary designation match to cross-reference -- not a final selection -- based on span, tributary width, and loading conditions.

About this calculator

Total Uniform Load -- the figure you match against SJI capacity tables -- comes from a single multiplication: Total Load times Tributary Width. That means Joist Span and Live Load never move this output at all; span only enters the deflection side of the calculation (Allowable Deflection at L/360, and the Required Moment of Inertia that follows from it), and live load only feeds the live-load deflection check, not the uniform load a joist has to carry. Widening tributary spacing from 6 ft to 6.6 ft (a 10% increase) raises Total Uniform Load from 600 to 660 plf, exactly proportional -- the same proportional bump you'd get from a 10% increase in Total Load instead.

Required Moment of Inertia grows much faster with span than with load, since the allowable-deflection denominator (L/360) also scales with span, leaving deflection stiffness requirements to scale with roughly the cube of span length once that cancellation is worked through -- pushing span from the 30 ft default to the 144 ft maximum multiplies the required moment of inertia by roughly 110x. This tool estimates loads and stiffness requirements and surfaces a Preliminary Joist Designation from a simplified nearest-match table lookup keyed to real designations (10K1 through 30K12) drawn from the Steel Joist Institute's own Standard Load Tables, but it does not select a final joist designation for you (the actual SJI K-Series and LH-Series load tables must still be cross-referenced by hand) and does not check bearing, bridging, or connection design.

Inputs

ft
ft
psf
psf

Results

Total Uniform Load

600 plf

Preliminary Joist Designation16K6
Live Uniform Load300 plf
Joist Weight (est.)8.6 plf
Allowable Deflection (L/360)1 in
Required Moment of Inertia188.5 in⁴

Figures current as of 2020. Source: Steel Joist Institute, Load Tables and Weight Tables for K-Series, LH-Series, and DLH-Series Open Web Steel Joists, and for Joist Girders (August 2020)

How to Use This Calculator
  1. Enter the clear joist span in ft and the tributary width (center-to-center joist spacing) in ft.
  2. Set the total design load in psf (dead + live + superimposed) and the unfactored live load in psf for deflection.
  3. Read Total Uniform Load (plf) — this is the value you match against SJI load tables to pick a joist designation.
  4. Check Allowable Deflection (L/360) in inches and Required Moment of Inertia to confirm serviceability.
  5. Use Joist Weight (est.) per linear foot to include self-weight in your structural dead load.
  6. Cross-reference the calculated values with your SJI K-Series or LH-Series load tables to finalize the designation.

How the result changes with Tributary Width

Tributary WidthTotal Uniform Load
3300 plf
4.5450 plf
9900 plf
151,500 plf

What each input means

Joist Span
Clear span of the joist in feet.
Tributary Width
Joist spacing (tributary width) in feet.
Total Load
Total design load including dead, live, and superimposed loads (psf).
Live Load
Unfactored live load for deflection check (psf).

What each result means

Preliminary Joist Designation
Nearest SJI table match by span and load -- a starting point only; verify against real SJI K-Series/LH-Series load tables before finalizing.
Total Uniform Load
Total load per linear foot on the joist.
Live Uniform Load
Live load per linear foot for deflection calculations.
Joist Weight (est.)
Estimated joist weight per linear foot from SJI tables.
Allowable Deflection (L/360)
Maximum allowable live load deflection.
Required Moment of Inertia
Minimum required moment of inertia for deflection control.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Joist Span = 30, Tributary Width = 6, Total Load = 100, Live Load = 50 = 4 input(s) provided
  2. Calculate Total Uniform Load
    Total Uniform Load = totalLoad * tributaryWidth
    600 = 600
  3. Calculate Live Uniform Load
    Live Uniform Load = liveLoad * tributaryWidth
    300 = 300
  4. Calculate Joist Weight
    8.6 = 8.6

Figures and sources

Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Does joist span affect the Total Uniform Load figure?

No -- Total Uniform Load is Total Load times Tributary Width only. Span instead drives Allowable Deflection and Required Moment of Inertia, the two outputs used to check stiffness rather than raw load capacity.

Why does the required moment of inertia grow so much faster with span than with load?

Because the allowable-deflection limit (L/360) itself scales with span, so once it cancels through the moment-of-inertia formula, span ends up entering with roughly a cubic relationship while load only enters linearly -- pushing span from 30 ft to the 144 ft maximum increases the required moment of inertia by roughly two orders of magnitude, far more than any realistic load increase would.

Does the Live Load input affect the Total Uniform Load I match against SJI tables?

No -- Live Load only feeds the separate live-load deflection check (Live Uniform Load and the resulting Allowable Deflection comparison). Total Uniform Load, the figure you match against SJI capacity tables, is calculated from Total Load and Tributary Width alone.

Does this calculator pick the final joist designation for me?

No -- the Preliminary Joist Designation is a nearest-match lookup against a simplified span/load table, not a final selection. It computes the loading and stiffness numbers (Total Uniform Load, Required Moment of Inertia, Allowable Deflection) that you then cross-reference against the Steel Joist Institute's own Standard Load Tables for K-Series, LH-Series, and DLH-Series joists to confirm the actual joist designation and weight.

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