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Calcimator

Moment Connection Design Calculator

Check bolted moment connection capacity per AISC including bolt shear, required bolt count, end plate thickness, and pass/fail adequacy.

About this calculator

Bolts Required comes from dividing Flange Force by Single Bolt Shear Capacity, and those two quantities respond to different inputs. Flange Force is Beam Moment converted to a force couple using the bolt-group lever arm (bolt rows spaced 3" apart), so it rises with Beam Moment and falls as Number of Bolt Rows grows (more rows spread further apart mean less force per bolt). Single Bolt Shear Capacity, on the other hand, depends only on Bolt Diameter and Bolt Grade -- Bolt Diameter has the larger effect of the two on that capacity, because shear strength scales with bolt area (diameter squared), while stepping from A325 to A490 bolts (Bolt Grade) raises the allowable shear stress by a fixed 24% regardless of size. The 68 ksi and 84 ksi nominal shear values behind that jump, and the 0.75 resistance factor applied to them, are the published bolt design values in Table 5.1 of the RCSC's Specification for Structural Joints Using High-Strength Bolts, not figures invented for this calculator.

Because Number of Bolt Rows also directly sets Bolts Provided (2 per row), it is the single input with the largest real swing on both sides of the Demand/Capacity check across its full 2-12 row range -- from 27 bolts required down to 3 as rows increase from the low end to the high end -- even though that swing does not show up in a small nudge around the calculator's default of 4 rows, since bolt count only changes in whole-row, whole-bolt increments. Note that this calculator's own default inputs (200 kip-ft moment, 7/8" A325 bolts, 4 rows) land on a FAILING connection: they require 9 bolts against only 8 Bolts Provided, a Demand/Capacity Ratio of about 1.09, and a red Connection Adequate = Fail result -- so if you load this page and change nothing, the very first result you see is intentionally a fail, meant to demonstrate what an under-designed connection looks like before you add a bolt row or step up bolt size/grade to bring the ratio back under 1.0. This is a preliminary check using a simplified end-plate-thickness estimate (assuming a fixed 8" plate width and 50 ksi steel); it does not replace a full AISC Design Guide 4 or 16 calculation covering prying action, plate yield-line patterns, or weld design.

Inputs

kip-ft
in

Results

Bolts Required

9

Single Bolt Shear Capacity30.67 kips
Flange Force266.67 kips
Bolts Provided8
End Plate Thickness (est.)3 in
Demand/Capacity Ratio1.09
Connection Adequate0

Figures current as of 2020. Source: Research Council on Structural Connections, Specification for Structural Joints Using High-Strength Bolts, June 11, 2020, Table 5.1 (Nominal Strengths per Unit Area of Bolts) and Section 5.1

How to Use This Calculator
  1. Enter the factored beam moment demand in kip-ft from your LRFD structural analysis.
  2. Select the bolt diameter in inches (3/4, 7/8, or 1 in are most common) and bolt grade (1=A325, 2=A490).
  3. Enter the number of bolt rows in the end plate connection (2 bolts per row).
  4. Read Bolts Required and compare to Bolts Provided to confirm the connection is adequate.
  5. Check Connection Adequate (1=Pass, 0=Fail) and Demand/Capacity Ratio — ratios above 1.0 require redesign.
  6. Use End Plate Thickness (est.) as a starting point; verify with full AISC Design Guide 4 or 16 calculations.

How the result changes with Bolt Diameter

Bolt DiameterBolts Required
0.6318
0.6616
1.314
1.53

What each input means

Beam Moment Capacity
Required moment capacity at the connection (factored LRFD demand).
Bolt Diameter
Bolt diameter: common sizes are 3/4", 7/8", or 1".
Bolt Grade
Select bolt grade specification
Number of Bolt Rows
Rows of bolts in the end plate (2 bolts per row).

What each result means

Single Bolt Shear Capacity
LRFD design shear strength per bolt (phi=0.75, N-type).
Flange Force
Tensile force at the beam flange from the applied moment.
Bolts Required
Minimum number of bolts needed to resist the flange force.
Bolts Provided
Total bolts provided (rows x 2 per row).
End Plate Thickness (est.)
Estimated minimum end plate thickness (A572 Gr.50).
Demand/Capacity Ratio
Ratio of required to provided bolt capacity (<1.0 = adequate).
Connection Adequate
1 = Pass (sufficient bolts), 0 = Fail (add rows or increase bolt size).

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Beam Moment Capacity = 200, Bolt Diameter = 0.875, Bolt Grade = 1, Number of Bolt Rows = 4 = 4 input(s) provided
  2. Calculate Bolts Required
    Bolts Required
    9 = 9
  3. Calculate Single Bolt Shear Capacity
    Single Bolt Shear Capacity = phi * fnv * boltArea
    30.67 = 30.67
  4. Calculate Flange Force
    266.67 = 266.67

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

What determines Single Bolt Shear Capacity?

Only Bolt Diameter and Bolt Grade -- Beam Moment and Number of Bolt Rows have no effect on it. Bolt Diameter has the larger influence of the two because shear capacity scales with bolt cross-sectional area (diameter squared), while switching Bolt Grade from A325 to A490 applies a fixed 24% increase in allowable shear stress regardless of the diameter selected. The underlying 68 ksi and 84 ksi nominal shear values, and the 0.75 LRFD resistance factor multiplied against them, are published in Table 5.1 of the RCSC's Specification for Structural Joints Using High-Strength Bolts.

If I increase Beam Moment, does Bolts Required always go up?

Yes -- Flange Force (and therefore Bolts Required) rises directly with Beam Moment, since the moment is converted to a force couple across the bolt group's lever arm. Raising Beam Moment from 180 to 220 kip-ft at this calculator's other default settings moves Bolts Required from 8 up to 10.

Why does adding more bolt rows reduce the number of bolts required?

Because Number of Bolt Rows sets the lever arm the moment acts across (rows spaced 3" apart) as well as the total bolt count — spreading rows further apart reduces the Flange Force each bolt has to resist, so fewer bolts are needed per row even as more rows (and more total bolt positions) become available. Across the full 2-12 row range this is the input with the largest overall swing in Bolts Required, from 27 down to 3.

Why does the calculator show a Fail result before I change anything?

Because the default inputs (200 kip-ft Beam Moment, 7/8" A325 bolts, 4 bolt rows) are themselves a failing connection: they require 9 bolts (Bolts Required) against only 8 Bolts Provided, giving a Demand/Capacity Ratio of about 1.09 and Connection Adequate = 0 (Fail). This is a deliberate starting point to show what a fail state looks like -- add a bolt row, step up Bolt Diameter, or switch Bolt Grade to A490, and the connection passes.

Does this calculator finalize the connection design?

No — it's a preliminary capacity check using simplified end-plate-thickness assumptions (fixed 8" plate width, 50 ksi steel). It does not check prying action, plate yield-line capacity, or weld sizing, all of which require a full AISC Design Guide 4 (shear connections) or 16 (moment connections) analysis before construction documents.

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