Mono Pitch Roof Truss Calculator: Chord, Rise, Angle

Mono Pitch Roof Truss Calculator

Size a single-slope lean-to or skillion truss from wall to wall. Enter the span, pitch, and low wall height to get the top chord length, wall rise, slope angle, and truss count for your shed or carport roof.

🎯Real Shed & Lean-To Presets

📝Roof Dimensions

Mono roofs slope across the whole span, so this full distance is the run.

Common shed pitches run 1/12 to 4/12. Ignored in angle mode.

Used only when slope entry method is set to angle.

Horizontal overhang added to each side of the sloped chord.

Top chord length 0 sloped rafter incl. overhang
Rise / wall gap 0 height difference of walls
Slope angle from the horizontal
Number of trusses 0 on center along length

🔢Mono Slope Trig Snapshot

SSpan = full run
S×n/12Rise
Chord = √(S²+rise²)
atanAngle = atan(n/12)

📐Mono Pitch Rise Per Foot Of Span

PitchRise Per FootSlope AngleChord MultiplierGrade %
0.5/120.50 in2.39°1.00094.2%
1/121.00 in4.76°1.00358.3%
1.5/121.50 in7.13°1.007812.5%
2/122.00 in9.46°1.013816.7%
3/123.00 in14.04°1.030825.0%
4/124.00 in18.43°1.054133.3%
6/126.00 in26.57°1.118050.0%

📏Common Shed & Skillion Pitches

Roof StyleTypical PitchBest CoverAngleNotes
Flat-look lean-to0.5/12 to 1/12Membrane, TPO2.4° to 4.8°Minimum for slow runoff
Standard shed2/12 to 3/12Metal panel9.5° to 14°Popular DIY choice
Skillion / modern1.5/12 to 3/12Standing seam7° to 14°Clean single plane
Carport / patio1/12 to 2/12Polycarbonate4.8° to 9.5°Sheds rain off front
Snow load region3/12 to 6/12Metal, asphalt14° to 26.6°Sheds snow faster

🗂Span vs Rise & Chord (Fixed 3/12 Pitch)

SpanRise (Wall Gap)Top ChordAngleHigh Wall (8 ft Low)
8 ft2.00 ft8.25 ft14.04°10.00 ft
10 ft2.50 ft10.31 ft14.04°10.50 ft
12 ft3.00 ft12.37 ft14.04°11.00 ft
14 ft3.50 ft14.43 ft14.04°11.50 ft
16 ft4.00 ft16.49 ft14.04°12.00 ft
20 ft5.00 ft20.62 ft14.04°13.00 ft
24 ft6.00 ft24.74 ft14.04°14.00 ft
30 ft7.50 ft30.93 ft14.04°15.50 ft

💧Minimum Slope For Drainage

Roof CoveringMin PitchMin AngleRise Over 12 ft Span
Membrane / EPDM0.25/121.19°0.25 ft
Standing seam metal0.5/122.39°0.50 ft
Corrugated metal1/124.76°1.00 ft
Polycarbonate panel1/124.76°1.00 ft
Asphalt shingle2/129.46°2.00 ft

Full Mono Slope Breakdown

Run equals spanUnlike a gable roof, a mono pitch has one slope across the whole width, so the run used in the math is the full span S, not half.
Riserise = S × (pitch / 12). This same value is the height difference between the high wall and the low wall.
Top chord lengthchord = √(S² + rise²) = S × √(1 + (pitch/12)²). Horizontal overhang is added to each end afterward.
Slope angleangle = atan(pitch / 12). In angle mode the pitch is derived back as 12 × tan(angle).
High wall heighthigh wall = low wall height + rise. The low wall carries one bearing and the high wall the other.
Number of trussescount = floor(building length / spacing) + 1, because the first truss sits at position zero at the starting gable end.
Worked exampleSpan 16 ft at 3/12: rise = 16 × 0.25 = 4 ft, chord = √(256 + 16) = 16.49 ft, angle = atan(0.25) = 14.04°.

📋Top Chord Multipliers By Pitch

PitchChord MultiplierChord On 16 ft SpanChord On 24 ft Span
1/121.003516.06 ft24.08 ft
1.5/121.007816.13 ft24.19 ft
2/121.013816.22 ft24.33 ft
2.5/121.021516.34 ft24.52 ft
3/121.030816.49 ft24.74 ft
4/121.054116.87 ft25.30 ft

💡Practical Mono Roof Tips

Drainage tip: Keep the slope at a minimum of 1/12 so water runs off cleanly. Flatter panels can pond, hold debris, and leak at seams, especially with metal or polycarbonate covers.
Simplicity tip: A mono pitch roof uses one continuous slope, so every truss is the same shape with no ridge joint. That means fewer cuts, cheaper framing, and a faster build than a dual-slope gable.

You can create a carport or shed if you have a narrow space between your fence and house. The trick is getting the height right on the back wall (you don’t want water to pool on top of the roof). A Mono Pitch Roof Truss Calculator take away that hassle and converts your desired slope and span into precise measurements.

A mono roof run from wall to wall, spanning the entire width of structure. A single slope roof is just what it sounds like, it slopes up from one side all the way to the other. Any change in length impact the rise. Basic trigonometry figure into equation, but tiny mistakes can result in water running backward or sagging. This is something builders frequently overlook and don’t notice till it rains on them.

How to Use the Roof Calculator

Roof Material. How much roof pitch? Metal roofs will work well with a one-in-twelve pitch, but anything flatter risks pooling and leaks at the seams. Less then that and you risk leaks where the metal meets itself (at the seams). With asphalt shingles, it’s better to go steeper, like two inches up for each foot out. Enter that as the slope ratio or as a degree, depending on which unit of measure the code or contractor requires. If your roof is flat because of snow load requirements, check your locality’s code and enter the minimum slope needed.

Enter the low wall height and span into calculator, and it will calculate the other dimension (high wall) for you. Cutting lumber to these specs is essential. Because the triangle’s hypotenuse follow the long way of the roof, your top chord will be longer than the span across. The steeper the pitch, the more length you’ll have to add on the end of your rafters versus if they were laid out on a flat line. It may not seem like much but this can realy start to add up when considering a large roof area. Improper cutting will weaken connections and waste wood. Proper cutting improves fit and reduces waste.

Strength of a roof come down to truss spacing. Typically trusses is framed at 16 inch or 24 inch intervals. This depends on the rafter size and what kind of loads it will face (maintenance vs. Snow). Snow). Based off the length of the building and the spacing, the calculator tell you how many trusses need to be ordered. It accounts for overhang as well. Overhang protects siding from rain, but people tend to overlook this when estimating roughly.

Mono roofs (no ridge beam required) are faster to construct then gable roofs (requiring both valley cuts and a ridge beam). All of your trusses is the same so assembling them on the ground is faster. Lay down your bottom chord, mark angle lines where your top chord will be laid, attach any webbing necessary, then connect the components. The symmetry allows DIYers to get professional-looking results without having to master multiple slope angles.

You want it to look nice and you need it to function. Knowing the math ahead of time avoids expensive fixes and guessing at things. You should of known the math before starting. The frame follows from the math. And the math guides you in knowing how high or low to cut everything so water flows properly. It is a sturdy, dry structure where previously there was nothing but wasted space.

Mono Pitch Roof Truss Calculator: Chord, Rise, Angle