Collar Tie Calculator
Calculate collar tie spacing, lumber size, count, and connection requirements to prevent rafter spread — with IRC code requirements and fastener schedules
Calculate collar tie size and spacing based on rafter span and roof load
Quick presets
Count
27 pieces
24" spacing • 16.1 ft length
Professional Calculator
Extended parameters for precise calculations
Estimated Materials
60 bundles
Roof Area
1,792 sq ft
Squares
17.9
Detailed Breakdown
How to Use This Calculator
Tie Sizing tab: Enter your rafter span (horizontal run from wall plate to ridge), rafter spacing, roof pitch, total roof load, and total ridge length. The calculator determines the required collar tie spacing based on the IRC maximum of 4 feet on center, calculates the tension force in each tie based on your loads and pitch, and recommends a lumber size. Steeper pitches and heavier loads require larger collar ties and closer spacing. The ridge length determines the total count — for a 40-foot ridge with ties at 4 feet OC, you need approximately 11 collar ties (40 ÷ 4 + 1, rounded). The calculator also compares the collar tie requirements to rafter tie requirements, showing when you may need both.
Code Requirements tab: This tab presents the IRC requirements for collar tie placement, sizing, and connections. The key rule is that collar ties must be installed in the upper one-third of the attic height. Enter your attic height (plate to ridge) and the calculator shows the minimum elevation for the collar ties — for a 9-foot attic, collar ties must be at least 6 feet above the plate. It also shows the minimum lumber size, which varies by pitch and load, and the fastener schedule: minimum three 10d common nails per connection for 1× ties, or three 16d nails for 2× ties. Metal framing clips are recommended for high-wind zones and are always stronger than nailing alone.
Materials List tab: Enter the collar tie count, individual tie length, lumber size, and connection method. The calculator generates a complete materials list including boards (with waste factor), nails or fastener hardware, and estimated cost. Collar tie lumber is inexpensive — a typical project uses $50-$200 in 1×6 or 2×4 boards. Nails add $5-$15, while metal clips (at $1.50-$3.00 each, times two per tie) add $30-$100 for a more robust connection. The calculator provides total board footage and suggests standard lumber lengths to minimize waste from cutting.
The Formula
Number of Collar Ties = (Ridge Length ÷ Tie Spacing) + 1 - Maximum tie spacing per IRC: 4 ft (48 inches) on center - Example: 40 ft ridge ÷ 4 ft spacing + 1 = 11 collar ties
Collar Tie Length = 2 × (Rafter Span - (Tie Height ÷ tan(Pitch Angle))) - Tie height = distance above plate where tie is installed - Example: Rafter span 14 ft, pitch 6/12 (26.57°), tie at 5 ft above plate: Horizontal offset = 5 ÷ tan(26.57°) = 10 ft from ridge Tie length = 2 × (14 - 10) = 8 ft between rafter faces (add 6" for bearing each side)
Tension Force in Collar Tie = (Total Load × Rafter Span × Tie Spacing) ÷ (2 × Tie Height × cos(Pitch Angle)) - This simplified formula gives approximate tension for checking lumber adequacy - Example: 35 psf × 14 ft × 4 ft ÷ (2 × 5 ft × 0.894) = 219 lbs tension per tie
Fastener Capacity = Number of Nails × Single Nail Shear Value - 10d common nail in SPF lumber: ~75 lbs lateral shear per nail - 3 nails minimum: 3 × 75 = 225 lbs capacity per connection - Example: 219 lbs tension < 225 lbs capacity → 3 nails adequate (barely — use 4 for safety margin)
Total Lumber = Collar Tie Count × Length × (1 + Waste Factor) - Example: 11 ties × 8.5 ft × 1.10 = 103 LF of 1×6 - At ~$0.90/LF for 1×6 SPF: 103 × $0.90 = ~$93 in lumber
Example Calculation
Dave has a 40-foot-long ranch home with a 5/12 pitch roof, 14-foot rafter span (28 ft wide building), and rafters at 16 inches on center. His local code requires 35 psf total roof load (15 dead + 20 live). He needs to install collar ties in the existing attic.
Step 1: Determine Spacing and Count
• Ridge length: 40 ft
• Rafter spacing: 16" OC
• Maximum collar tie spacing: 4 ft OC (every 3rd rafter pair)
• Number of collar ties: 40 ÷ 4 + 1 = 11 collar ties
Step 2: Determine Placement Height
• Attic height (plate to ridge): 14 ft × tan(22.62°) = 5.83 ft ≈ 5 ft 10 in
• Upper one-third: above 3 ft 11 in from the plate (5.83 × 2/3 = 3.89 ft)
• Dave installs collar ties at 4 ft above the plate (within upper third, close to the minimum height for maximum attic usable space below)
Step 3: Calculate Collar Tie Length
• At 4 ft above plate with 5/12 pitch: horizontal offset from ridge = 4 ÷ tan(22.62°) = 9.6 ft
• Tie length between rafter faces: 2 × (14 - 9.6) = 8.8 ft
• Add 3" bearing each side: 9.3 ft total cut length → use 10 ft boards
Step 4: Select Lumber Size
• Pitch 5/12 with 35 psf load: 1×6 is adequate per IRC
• Tension per tie (at 4 ft height): approximately 250 lbs
• Three 10d nails per end: 225 lbs capacity (marginal) → use 4 nails per connection for adequate safety margin (300 lbs capacity)
Step 5: Materials List
• (11) 1×6 × 10' SPF boards + 10% waste = 12 boards: $11-$14 each = $132-$168
• (88) 10d × 3" common nails (4 per end × 2 ends × 11 ties): ~$8 (1 lb box)
• Alternative: (22) Simpson H2.5A clips at $2.50 each: $55
• Total materials: $140-$225
• Installation time (DIY): 3-4 hours for one person with a nail gun
Key Note: These collar ties prevent ridge separation but do NOT resist wall spread. Dave's existing ceiling joists at the plate level serve as rafter ties — if those were ever removed (for a cathedral ceiling conversion), a structural ridge beam would be required.
Frequently Asked Questions
What is the difference between a collar tie and a rafter tie?
How far apart should collar ties be spaced per building code?
What size lumber do I need for collar ties?
How many nails are required at each collar tie connection?
Can I use collar ties instead of rafter ties to save attic headroom?
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