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Calcimator

Timber Connection Calculator

Design bolted timber connections per NDS: calculate reference design values, group action factor, and connection capacity.

About this calculator

This calculator estimates the load capacity of a bolted wood connection using a simplified version of the NDS dowel-bearing yield model. It starts with the wood's bearing strength (Fe), computed differently depending on load direction: parallel-to-grain bearing scales linearly with specific gravity as 11,200 × G, while perpendicular-to-grain bearing follows the steeper NDS relationship 6,100 × G^1.45 / √D, reflecting how much weaker wood is when a bolt bears across the grain rather than along it. From there, a simplified reference design value per bolt is derived from bolt diameter, main member thickness, and Fe, divided by a fixed reduction constant standing in for the full multi-mode yield-limit equations NDS actually uses.

Two adjustment factors then scale that per-bolt value down to a real connection capacity: a group action factor (Cg) that steps down from 1.0 to 0.85 as bolt count climbs past 2, 4, and 8 — reflecting how load doesn't distribute evenly across many fasteners in a row — and a geometry factor that penalizes bolt spacing tighter than the 4-diameter minimum NDS requires for full capacity. Multiplying adjusted per-bolt capacity by bolt count gives total connection capacity, while a separate adequacy flag checks only that minimum spacing. Because the yield equation here is a simplified stand-in rather than NDS's full Mode Im/Is/II/IIIs/IIIm/IV set, treat results as a preliminary screen and verify final connections against the complete NDS bolted-connection tables.

Inputs

mm
mm

NDS Supplement Table 12A: DF-L G=0.50; Southern Pine G=0.55; SPF G=0.42; Hem-Fir G=0.43

bolts
mm

NDS §12.3: min spacing parallel to grain 4D; perp. to grain 3D; end distance 4D (full) or 2.5D (reduced)

Results

Total Connection Capacity

5,801.38 kN

Spacing Adequate?

1 (1=yes, 0=no)

Reference Design Value (Z)1,495.2 kN
Adjusted Capacity per Bolt1,450.34 kN
Group Action Factor (Cg)0.97
How to Use This Calculator
  1. Select the wood species and connection type (nails, bolts, screws, or timber rivets).
  2. Enter the fastener diameter, length, and number of shear planes.
  3. Input the applied lateral and withdrawal loads in lbs.
  4. Review the Design Value per Fastener and the Number of Fasteners Required.
  5. Apply adjustment factors for moisture content, temperature, and load duration per NDS.

How the result changes with Bolt Diameter

Bolt DiameterTotal Connection CapacitySpacing Adequate?
62,900.69 kN1 (1=yes, 0=no)
94,351.03 kN1 (1=yes, 0=no)
188,702.06 kN1 (1=yes, 0=no)
259,668.96 kN0 (1=yes, 0=no)

What each input means

Bolt Diameter
Nominal diameter of each bolt. Common sizes: 10, 12, 16, 20 mm.
Main Member Thickness
Thickness of the main wood member receiving the bolt.
Specific Gravity (G)
Specific gravity of the wood species per NDS Supplement Table 12A. Douglas Fir-Larch G=0.50; Southern Pine G=0.55; Hem-Fir G=0.43; Spruce-Pine-Fir (SPF) G=0.42; Ponderosa Pine G=0.43. G used in NDS yield limit equations.
Number of Bolts
Total number of bolts in the connection.
Load Direction
The direction of applied load relative to the wood grain.
Bolt Spacing
Center-to-center spacing between bolts in a row per NDS §12.3. Minimum loaded end distance: 4D parallel to grain; minimum bolt spacing: 4D for parallel-to-grain loading; 3D for perpendicular. Group action factor Cg reduces capacity for multiple bolts.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Bolt Diameter = 12, Main Member Thickness = 89, Specific Gravity (G) = 0.5, Number of Bolts = 4 = 6 input(s) provided
  2. Calculate Total Connection Capacity
    Total Connection Capacity
    5801.376 = 5801.376
  3. Calculate Spacing Adequate?
    Spacing Adequate?
    1 = 1
  4. Calculate Reference Design Value
    Reference Design Value
    1495.2 = 1495.2
  5. Calculate Adjusted Capacity per Bolt
    1450.344 = 1450.344

Engine last updated . Checked against 2 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

Why is bearing strength so much lower when the load is perpendicular to grain instead of parallel?

Wood fibers resist crushing far better along their length than across it, which is why the calculator uses two different formulas: 11,200 × G for parallel-to-grain bearing (a simple linear scale with specific gravity) versus the steeper 6,100 × G^1.45 / √D for perpendicular loading. The perpendicular formula also divides by the square root of bolt diameter, since a larger bolt spreads perpendicular crushing stress over more fiber area.

Why doesn't connection capacity scale exactly with the number of bolts?

The group action factor (Cg) steps down from 1.0 to 0.85 as bolt count increases past 2, 4, and 8, reflecting that load doesn't distribute perfectly evenly across many fasteners loaded in a row — the end bolts tend to pick up more load than the interior ones. So four bolts in this calculator deliver slightly less than 4× a single bolt's adjusted capacity, and eight or more bolts deliver noticeably less than a straight multiple.

What does the 'Spacing Adequate?' output actually check, and what does it leave out?

It only verifies that your entered bolt spacing meets or exceeds the 4-diameter minimum NDS requires for full design value — if spacing falls short, the geometry factor also proportionally reduces the connection capacity itself. It does not check edge distance, end distance, or row spacing, all of which NDS §12.3 also governs and which you'd need to verify separately.

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