Pergola Beam Size Calculator by Span and Load

Main beam screening for backyard pergolas

Pergola Beam Size Calculator

Compare common built-up and solid timber beam options using span between posts, pergola projection, beam role, roof load, wet service, and sag limits before final structural review.

Imperial beam inputs
1Project presets

These presets load real pergola beam situations so you can compare side beams, attached outer beams, and center beams without starting from a blank form.

2Beam inputs
Add any screens, trim, purlins, or hardware beyond the roof style allowance.
Choose a beam role, span, projection, and loading so the calculator can compare common built-up and timber beam sizes.
3Quick context

Beam role changes tributary width automatically. Side or attached outer beams carry half the pergola projection, while center beams carry the full roof width between both sides.

Tributary width
6.00 ft
Projection multiplied by the role share for this beam.
Supported roof area
60 sq ft
One beam span carries this roof area before overhang tails.
Design line load
0 plf
Total roof psf turned into a line load on the beam.
Rafter seats
8
Approximate framing seats landing on this one beam span.
Built-up beam mode looks for the smallest common stock beam that clears both bending and deflection. Switch to stiffness mode when you want a straighter beam line under polycarbonate panels or louvers.
Recommended beam
2-2x10
Actual 3 x 9.25 in built-up beam
Adjusted capacity
0 lb-ft
0 psi allowable bending
Sag check
0.00 in
Target L/240 at this span
Utilization
0%
Passing beam with reserve
Full beam breakdown
Beam checks compare common stock members only. If every option fails, shorten the post spacing, reduce tributary width, or move into engineered lumber or steel.
4Beam comparison grid

Use the nearby candidates around your current recommendation to trade reserve, stiffness, and timber look without manually rebuilding the entire frame.

5Reference tables
Common pergola beam options and section properties
Beam optionActual sizeSection modulusMoment of inertiaTypical fit
2-2x83 x 7.25 in26.28 in395.25 in4Short attached or garden pergolas
2-2x103 x 9.25 in42.78 in3197.86 in4Common 10 ft outer beam
3-2x104.5 x 9.25 in64.17 in3296.79 in4Heavier span or center beam work
6x85.5 x 7.25 in48.17 in3174.63 in4Solid timber look at moderate spans
6x105.5 x 9.25 in78.43 in3362.74 in4Chunkier exposed beam profile
6x125.5 x 11.25 in116.02 in3652.62 in4Long bays, snow, or heavy tops
Beam role share used to convert projection into tributary width
Beam roleShare of projectionBest useWhy it changes the math
Attached outer beam50%Ledger plus outer beamThe ledger carries the other half of the rafters.
Freestanding side beam50%Two side beamsEach side beam supports half the roof width.
Center beam100%Two bays framing into one beamThe beam carries the full projection from both sides.
Intermediate beam75%Pavilion or offset framingUseful when one beam supports more than an edge but less than a full center share.
Shade carrier beam60%Fabric or screen tracksExtra framing load lands on a partial-width support line.
Pergola roof dead load starters built into the beam math
Roof styleBuilt-in dead loadTypical spacingUse note
Open slat roof5 psf16 to 24 inLightest standard pergola top.
Fabric shade panels7 psf12 to 16 inTracks, runners, and screen rails add moderate dead load.
Polycarbonate cover9 psf16 inLight roof cover with purlins and trim.
Louvered roof12 psf12 to 16 inMotorized or fixed blade systems want stiffer beams.
Light solid roof16 psf12 inTreat it closer to a small roof than an open arbor.
Species and service assumptions used for beam capacity
SpeciesBase FbBase EUse note
Western red cedar #2850 psi1.10 MsiGreat exterior look but softer than fir or pine.
Pressure-treated SPF #2875 psi1.30 MsiPractical stock choice for many covered builds.
Douglas fir-larch #2900 psi1.60 MsiReliable stiffness benchmark for visible beams.
Southern pine #21100 psi1.60 MsiHigh strength stock option when available straight.
Construction heart redwood800 psi1.20 MsiAppearance-first choice that often needs more depth.
6Two practical tips
Tip 1: Keep the beam span measured post center to post center only if your actual support line lands there. Decorative beam tails change the cut list, but the support spacing is what drives structural depth.
Tip 2: When a pergola uses polycarbonate or louvers, a beam that barely passes bending can still look soft in service. Stepping up one candidate often pays off in a straighter roofline and calmer connections.

When designing pergola beams, you must choose the correct beam size to ensure that the beams can support the weight of the roof. If the pergola beams is too small, they will sag under the weight of the roof. If you choose beams that are to large, you will spend too much money on the lumber for the beams.

To avoid these issues, you must determine how much load will fall on each pergola beam. The number of beams and the position of the beams will affect the load on each beam. For example, side beams on a freestanding pergola will only have to carry half of the projection of the pergola.

How to Choose the Right Beam Size for a Pergola

The opposite beam will take up the other half of the projection. A beam in the center of a pergola that has two bays will have to carry the full width of the pergola. Additionally, if you attach one end of the pergola beam to a house using a ledger, the ledger will help to support the beam and the weight of the pergola roof.

The type of wood that you use for the pergola beams will impact the strength of the beams. For example, Douglas fir-larch beams are the best for providing the necessary stiffness for visible beams. However, cedar beams are popular used for there appearance.

Even though cedar is a popular wood for pergolas, it does not have the strength of Douglas fir-larch beams. In environments with moisture and wet conditions, the wood will lose some of its capacity. In these cases, the capacity of the wood will decrease by ten to fifteen percent.

In these cases, larger beams are necessary to compensate for the decrease in the woods capacity. Additionally, the type of roof that you will construct on the pergola will impact the weight of the beams. If slats are used for the roof, they will add very little weight to the pergola beams.

Polycarbonate panels and louvers will add significant weight to the pergolas, so stiffer beams will be necessary for these types of pergolas. Another important factor in determining the size of the beam is the span of the beams. The span of the pergola beams is the distance between the two posts on which the pergola rests.

The span is one of the primary factors that will impact the depth of the beams. If the span of the pergola beams are increased to beyond ten feet, then the depth of the beams must also be increased. This is to avoid deflection in the beams.

Deflection is the measurement of the sagging of pergola beams under the weight of the roof. You want to ensure that the deflection of the beams is within the limit for maximum sagging, such as the L/240 limit, which is a limit of the sagging of the beam to less than half an inch. To determine the necessary size of the beams, you must determine the tributary width of the beams.

These line loads will help you to determine whether you need a double-ply beam or a triple-ply beam. There are also some preset tools that will assist you in determining the appropriate beams for your pergola. These tools allow you to input several different variables for your pergola, such as the span of the pergola, the projection of the beams, and the load that the beams must support.

Based on these inputs, the tool will provide recommendations for beams of various sizes. The tools will automatically account for the fact that the side beams will experience a lesser share of the load than the center beam. Additionally, the tool can also account for service conditions, such as the fact that beams that will be exposed to wet environments will have a reduced capacity.

The results of these calculations will display the percentage of the capacity of the beams that will be utilized. A percentage between 70% and 90% indicates that the beams have enough reserve capacity to ensure their safety, but are not excessively large. In comparing beams, you may consider beams made of solid timber to be more visually appealing than beams made of built-up plywood.

However, built-up ply beams may be more efficient in relation to the spans that is to be constructed. Deep beams are stronger than wide beams. There are many mistakes that can be made in the planning of a pergola.

For example, if you plan the beams without considering the spacing of the rafters, the beams may experience heavy point loads. If you do not consider the overhangs of the roof in the building of the pergola, the measurements of the beams will be incorrect. The spacing of the posts must also be considered; if the beams are too far apart, the beams may sag in the middle due to the excessive load of the roof.

Finally, you must also consider the conditions at the building site when planning the pergola. For example, if the pergola is to be built in a location that receives a great deal of snow, the live loads of the snow must be accounted for in the beams design; in this case, triple-ply beams will be required. In coastal areas, wind loads will be more important than snow loads.

Additionally, local building codes may impact the construction of the pergola. For example, building codes may require certain limits on the deflection of the beams or certain types of wood to be used in the beams. Finally, by calculating the loads that will act upon the beams and by carefully selecting the sizes of the beams that will be used in the pergola, the pergola will remain stable and the beams wont sag over time.

You should of chosen larger beams if your planning for heavy snow. It is better to have alot of extra support than to have a structure that falls down.

Pergola Beam Size Calculator by Span and Load

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