Barn Roof Pitch Calculator: Gambrel Angles & Rafters

Barn Roof Pitch Calculator

Design a gambrel barn roof with a steep lower slope and a shallow upper slope. Enter the span, both pitches or angles, wall height, and the break point to get each slope angle, slope length, ridge height, loft headroom, and both rafter cuts.

🎯Real Gambrel Barn Presets

📝Barn Geometry Inputs

Full outside width of the barn. Each side uses half this.

Top of the side wall where the lower rafter starts.

Bottom slope from horizontal. Used in angle mode.

Top slope toward the ridge. Used in angle mode.

The X in X:12 for the steep leg. Used in pitch mode.

The X in X:12 for the shallow leg. Used in pitch mode.

Where the lower slope meets the upper. 50% is centered.

Added to the lower rafter past the wall, same units.

Lower slope length 0 steep leg, plus overhang
Upper slope length 0 shallow leg to ridge
Ridge height above plate 0 riseL + riseU
Lower / upper angle from horizontal

🔢Cross-Section Snapshot

0Overall height
0Loft-wall headroom
0Rafter L + U
0Loft floor width

📐Common Gambrel Angle Pairs

Barn StyleLower AngleUpper AngleLower PitchUpper Pitch
Classic dairy60°30°20.8:126.9:12
Balanced storage63°26°23.6:125.9:12
Tall loft68°28°29.7:126.4:12
Steep hay barn70°25°33.0:125.6:12
Low-profile shed55°25°17.1:125.6:12
Dutch colonial65°30°25.7:126.9:12
Wide arena58°22°19.2:124.8:12
Extra headroom62°32°22.6:127.5:12

🔄Angle to Pitch and Slope Multiplier

AnglePitch (X:12)Slope % GradeLength per 1 ft RunSlope Role
22°4.8:1240.4%1.0785 ftShallow upper
25°5.6:1246.6%1.1034 ftShallow upper
28°6.4:1253.2%1.1326 ftShallow upper
30°6.9:1257.7%1.1547 ftShallow upper
55°17.1:12142.8%1.7434 ftSteep lower
58°19.2:12160.0%1.8871 ftSteep lower
60°20.8:12173.2%2.0000 ftSteep lower
63°23.6:12196.3%2.2027 ftSteep lower
65°25.7:12214.5%2.3662 ftSteep lower
70°33.0:12274.7%2.9238 ftSteep lower

📏Span vs Ridge Height (60° / 30°, centered break)

Barn SpanHalf-SpanRidge HeightLoft HeadroomLower RafterUpper Rafter
12 ft6 ft6.93 ft5.20 ft6.00 ft3.46 ft
16 ft8 ft9.24 ft6.93 ft8.00 ft4.62 ft
20 ft10 ft11.55 ft8.66 ft10.00 ft5.77 ft
24 ft12 ft13.86 ft10.39 ft12.00 ft6.93 ft
28 ft14 ft16.17 ft12.12 ft14.00 ft8.08 ft
30 ft15 ft17.32 ft12.99 ft15.00 ft8.66 ft
36 ft18 ft20.78 ft15.59 ft18.00 ft10.39 ft
40 ft20 ft23.09 ft17.32 ft20.00 ft11.55 ft
48 ft24 ft27.71 ft20.78 ft24.00 ft13.86 ft

🗂Barn Design Comparison Grid

Barn TypeSpanLower / UpperRidge HeightLoft HeadroomTotal Rafter
Chicken coop10 ft58° / 26°5.22 ft4.00 ft7.50 ft
Garden shed12 ft60° / 30°6.93 ft5.20 ft9.46 ft
Tiny loft cabin16 ft63° / 28°9.98 ft7.85 ft13.34 ft
Carriage house20 ft65° / 30°13.61 ft10.72 ft17.60 ft
Classic dairy24 ft60° / 30°13.86 ft10.39 ft18.93 ft
Dutch colonial28 ft68° / 28°21.05 ft17.33 ft26.61 ft
Pole barn36 ft60° / 30°20.78 ft15.59 ft28.39 ft
Horse barn40 ft62° / 25°23.47 ft18.81 ft32.33 ft
Riding arena48 ft58° / 22°24.05 ft19.20 ft35.59 ft

Full Gambrel Formula Breakdown

Half-spanEach roof side spans half the barn: half-run H = span / 2. A 24 ft barn gives 12 ft per side.
Break pointLower run = H × break%, upper run = H – lower run. At 50% both runs equal H / 2.
Lower slopeLower rise = lower run × tan(lower angle). Lower length = √(riseL² + runL²) = runL / cos(angle).
Upper slopeUpper rise = upper run × tan(upper angle). Upper length = √(riseU² + runU²) = runU / cos(angle).
Angle from pitchWhen given X:12, angle = atan(X / 12) × 180 / π. A 20.78:12 lower pitch is 60°.
Ridge heightHeight above the plate = riseL + riseU. Overall barn height = wall height + ridge height.
Loft-wall headroomThe steep lower slope lifts the kink walls riseL above the loft floor, the usable headroom; the peak clears the full riseL + riseU.
Rafter cutsCut the two legs separately: lower rafter = lower length + overhang, upper rafter = upper length.

📋Gambrel Reference Values

ParameterCommon RangePurposeEffect on Barn
Lower angle55° to 70°Steep loft wallsHigher angle adds loft headroom
Upper angle20° to 30°Shed rain and snowLower angle shortens the ridge
Break point45% to 55%Sets the kink lineLater break raises the steep wall
Wall height8 ft to 12 ftLoft floor levelAdds directly to overall height
Overhang0.5 ft to 2 ftProtects the wallsExtends the lower rafter only

💡Practical Gambrel Barn Tips

Loft space tip: The steep lower slope is what creates usable loft volume. A 60° lower leg on a 24 ft barn lifts the kink walls about 10.4 ft, giving far more standing headroom than a single-pitch gable of the same width.
Rafter cutting tip: Gambrel rafters are cut as two separate boards, not one. Lay out the lower leg at its steep angle and the upper leg at its shallow angle, then join them with a gusset plate at the break point.

Go out and look at some of those Midwestern or New England barns. Notice how the roofline seem almost too generous for its frame. Side walls rise almost vertically, then flare outward. Not accidental; rather, it’s a deliberate reaction to a desire for storage space and a need to withstand gravitational force. A gambrel roof provide internal space with less wall height. Essentially, it enables you to add second-floor feel on a loft level.

The angles reflect this shape. It calculates heights and make a cut list from your dimensions. You have two opposing slope here. One is steep, typically ranging from fifty-five to seventy degrees, and it elevates and extends the roof line. The other is shallow, commonly in the range of twenty to thirty degrees, and its purpose are simply to shed snow and water.

Understanding Gambrel Roofs and How to Measure Them

The steep slope is what give the barn its bulk. Make the former too high and rafters become unstable; make it too low, and you’ll lose headroom rapidly. The latter links the steep walls with the ridge. And there it is: the secret lies in the angles. Most common are a blend of thirty degrees on top and sixty on the bottom. Such a shape look traditional and holds up well.

And then there’s the break point. That’s where top slope meets the bottom slope. And that controls how much vertical wall space you gets in there. By default, tool just places the break halfway through span and centers it. Tweak that and nature of interior shifts. A higher break yields more vertical wall surface close to eaves. Fewer overall loft. A lower break makes for maximum loft footprint. There is less standing room.

And that’s a trade off: Either more floor space (lower), or more headroom (higher). Each builder need to balance that against his plans for what he’ll be raising/lifting underneath the roof. After geometry, we move on to building out with lumber. Now, you don’t just cut your gambrel rafters off of one long board. To build a gambrel roof, you need two separate boards, attached at their break point. This calculator will divide up those measurements for you. What it does is provide total length of the upper leg, and then also the total length of lower leg.

That’s important because frame lumber come in standard lengths. If you know that your lower rafter needs to be twelve feet long plus an overhang, you can plan to buy lumber accordingly. You won’t need long, wasteful timbers. Do not splice short timbers together which weakens your entire frame. A very practical thing that frequently goes unnoticed is the height of the ridges. Calculating angle times width ignore the height of the walls above the floor plate. It also ignores the rise from both lower and higher roof portions. If there are constraints at your site, they matter. Local zoning may limit building height. Or perhaps tree branches limits your buildable height. Just one small adjustment in upper slope angle can result in saving a foot of vertical clearance.

You can see this clearly when you look at the reference tables on the page. These display how standard angles combine with span widths to create particular ridge heights and rafter lengths. A gambrel roof marries structural ease to volumetric usefulness. How much do you desire the roof to hold? Hay? Vehicles? Then you want some volume. And how easy is it to frame without an engineering degree? With the gambrel, you have the chance to play with the roof’s upper shallowness combined with its lower steepness and mold it to suit your needs.

You should of used the math. Let the math do the figuring. Use your judgment on whether that math makes sense relative to what you are building. If done correctly, exterior appears functionally useful. The interior, well…it seems roomy.

Barn Roof Pitch Calculator: Gambrel Angles & Rafters