Calculate Deck Load Capacity - Tributary Area (2024)

What a great question.

The question around deck load capacity is one I receive often from visitors asking how much weight should they design their deck for.

Thediscussion quickly leads to the overall strength of the framedstructure. But that is only one part of it.

That is because anyanalysis of what load a structure may bear upon itself and its foundation must involve the

support post network

and

soil bearingcapacity

.

The Entire Deck, Footings And Soil Are A System

It truly is a system - not unlike a chain - where the weakest link will lead to the failure of the deck.

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People Get Intimidated By The Thought of Math and Engineering

Many people are intimidated with trying to figure out the load capacity for a deck.

Evensome contractors are not sure where to begin so they just over build –which may be entirely unnecessary and cost you more money. Anotherproblem that can arise from over building is a sinking deck.

Yes,even if you build a strong deck it can gradually sink into the soil ifyou do not consider the size of footings with respect of the loadfor the deck. Once your deck starts sinking it can rip the ledger boardaway from the house or you will have to jack up the sunken area,excavate and pour a new larger footing.

That is what we will cover in the second half of this article.

But Some Basic Math Is All That Is Needed

The good news is the concepts and the math used for determining loads on decks and otherstructures are quite simple.

I will explain how to do it and then youcan go build that deck with confidence knowing it will be strong and stable and standing years from now.

Let's Start At The Top And Work Down

Thefirst area to think of is the actual framed deck. This structure iscomprised of perimeter joists - sometimes called rim joists or bandjoists. Then there are the joists in the middle. These are sometimescalled infield joists or inner joists. You will hear a number of terms.

This framework is supported by a number of beams - sometimes calledcarrier beams because they "carry" the load of the structure.

Design Load, Dead Load, LIve Load - What does this mean?

Design Load

The IRC and other similar codes in other countries,like Canada or the UK all work from a similar starting point for what afloor deck should be engineered to support.

These standards are borrowedby deck builders and come from the actual code requirements used forthe floor deck of a residential home.

The load that is placed onyour deck is expressed in pounds per square foot (psf) and the totalload or more appropriately, the design load, is comprised of the deadload and the live load.

Dead load is basically the load createdby the weight of the deck itself. This is usually about 10 psf.

Liveload is created by all the extras like furniture, planters, and people.This is usually about 40 psf. Together the design load would be 50 psf.

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Snow load anyone?

Ofcourse, if you expect a lot of snow to sit on your deck over the winteror envision an 8,000 lb hot tub on the deck this could increase therequired load capacity of your deck up to 100 psf.

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Not all locations experience seasonal changes like the one depicted in the series of photos. But given the amount of snow piled up on this deck you can see why it is important to consider all the forces that will be at work on your deck and then calculate and build accordingly.

Framing For The Design Load

To avoid referring to complicatedengineering tables and for the purpose of building a deck, let us startwith the idea that using standard 2x8 softwood lumber at 16" o.c. joistspacing your deck will easily meet the 50 psf threshold.

What About Snow Load Or a Spa Tub

Yes, this is a concern but thenet effect or changes you might have to do to increase the strength ofthe deck could be as simple as using 2x10 joists at 12" o.c. spacing.

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The framed structure will typically handle the added weight quite easily.

Theworry will be your beam spacing, support post size and most importantlyhow many footings and how much weight will they impose directly on thesoil below.

This is critical because if you overload the soil more thanit can bear, the deck will start to sink. A very bad thing.

now Let's find the tributary areas of a deck

To determine the maximum load capacity of your deck, start by calculating its total area and multiply by 50psf. So, a 100 sqft deck would be designed to support 5000 lbs.

Do not get confused with what weight you might think or want to load the deck with.

Ifyou drove a dump truck over it, yes this would throw all ourcalculations out the window. But we are building a deck to supportknown loads consistent with the purpose for which the structure is knownto be used for and the 50 psf number has a safety factor in it. Thatis why engineers have settled on this as a safe value.

So with atotal deck load capacity of 5000 lbs we now move to the "slightly" more complicateddiscussion about tributary areas and how this overall load is nowdistributed around the entire deck and onto the soil below. Stickaround. This is the fun part.

Our example: a 10' x 10' Deck

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Four Tributary Zones: A, B, C, D

Ourdeck is as simple as it gets to illustrate the concepts deckload capacity and transfer of weight within each tributary area. Thisdeck is 10`x10` or 100 sqft.

There is a ledger board attached tothe house. The joists run perpendicularly out from the house for 10 feetat 16 inches on center. The carrier beam runs perpendicular to thejoists with its center at 8 feet from the house and the cantileverbeyond its center point is 2 feet.

There are three support posts3.5 feet from center to center. The beam cantilevers 1-6` past theouter posts to the perimeter of the outer most joist.

Forexample the unsupported section from the ledger board to the beam is adistance of 8’. Therefore the first midpoint is 4’ from the house andmarks the separation between supported load areas as you move outwardsfrom the house. Area A equals 4x10 or 40 sqft.

Defining Tributary Areas Of The Deck

There are four tributary areas on this deck: A, B, C and D.

TributaryArea A is confined between the midpoints of its two adjacent supportmembers, the ledger board, and the beam. The outside perimeter joistsconfine the width of the area.

Area A

Forexample the unsupported section from the ledger board to the beam is adistance of 8’.

Therefore the first midpoint is 4’ from the house andmarks the separation between supported load areas as you move outwardsfrom the house.

Area A equals 4x10 or 40 sqft.

This means that the force exerted over the deck between the beam and thehouse is supported 50% by the ledger board and house and 50% by thebeam.

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Area B

Area B extends from the 4’ point outward to the beam andbeyond to the end of the deck.

Since there is no support member past thebeam the length of this load area is 6’ (from the 4’ mark to the 10’mark).

The width of Area B extends to the midpoint between the end post and the center post.

Theend post is 1.5’ from the end of the beam. The distance between the endpost and the center post is 3.5’. Therefore the midpoint between thetwo posts is 1.75’.

That means the total width of the first supportedload area extends from the end of the beam to the 3.25’ mark along thebeam (1.5’ + 1.75’).

The dimensions of Area B are 6x3.25 or 19.5 sqft.

Incidentally, tributary Area D is identical to B.

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Area C

Tributary area C is slightly larger than B and D. It is 6`long but itswidth extends from the midpoint of footing F1 to F2 and F2 to F3. Thisdistance is 3.5`. Area C is 6x3.5 or 21 sqft.

Load Calculation for Each Tributary Area

A= 40sqft x 50psf or 2000 lbs
B= 19.5sqft x 50 psf or 975 lbs
C= 21 sqft x 50 psf or 1050 lbs
D= 19.5sqft x 50 psf or 975 lbs

Notice that the middle tributary zone must carry more weight than theadjacent areas B and D. This is a common characteristic you will findin most decks and so sometime, if your bearing capacity of the soil isquite low, you may have to increase the size of the middle footings oradd another support post to not overload the soil.

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Area D

Area D is identical to Area B. Given the shape and support configuration of the deck is symmetrical. The dimension are 6x3.25 or 19.5 sqft.

Lastly, Area A is supported by the ledger board across its entirelength. We express this load value as lbs per lineal foot.

The ledgeris 10' long so every foot of ledger must be designed to carry at least200 lbs of load.

Engineer To Your Largest Tributary Area

Nowthat we know the loads we expect to be exerted on each post beloweach tributary area and thereby onto the soil below, we can design thesize of our footings combined with any knowledge we may have about thesoil type.

For example, I would design the footings for the other poststo also handle this 1050 lbs load - engineer up to the highest commondenominator.

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Bearing Capacity of Soil

This is the last area of concern. The type of soil determines how heavy the load can be before the footing is susceptible to settling. Organic soils are the worst. If you have organic soils with rotting material it must be removed and replaced with granular stone and compacted before a footing can be installed.

The other types of soils most encountered are clays which have varying degrees of moisture. The concept is that the more moisture retained in the soil, the lower its bearing capacity. The typical range of bearing capacity for clays, starting with the softest with higher moisture content to the hardest with lowest moisture content is between 2000 psf and 8000 psf or more, respectively.

In our example the maximum load any of the footings will encounter is just over 1000 psf. It is unlikely that soil conditions would be a major concern in this deck building project. If you do find the soil is questionable, the best solution is to get a Soil Engineer to run a quick test to determine the best course of action.

You should now be ready to go off and start building your brand-new deck confident that it will handle the load you are going to throw at it.

Let us assume this soil is typical and can easily bear 1800 psf. We will work with that.

Footing Sizes

Ifeach footing were 1 sqft then all the weight of the given area wouldbe imposed over that 1 sqft area. Therefore, if the footing was twiceas large or 2 sqft only 525 lbs (half of 1050) would be imposed on eachsqft below Area C.

We can effectively reduce the force imposedover a given area by using a larger footing size and distributing thatweight over the larger area.

We could build a square footing thatis 12"x12" or one sqft and we would be fine because all the tributaryareas carry total weights much less than the soil's bearing capacity of1800 psf.

But let us use a round footing because we bought someconcrete tubular forms. If we use a 16" diameter form we can calculateits surface area by using the formula for area of a circle as π r².This works out to approximately 1.4 sqft.

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Final Load Imposed On Soil

Todetermine what weight per square foot is actually imposed on the soilbelow each tributary area, we just divide its weight by the area of thefooting. Let's see what values we get for each footing.

F1= 975 lbs/1.4 sqft= 696 lbs
F2= 1050 lbs/1.4 sqft=750 lbs
F3= 975 lbs/1.4 sqft= 696 lbs

Inevery case the loads imposed are less than half and almost a third ofwhat the soil really could bear. So, your deck will not sink into theground.

Go ahead and build the frame as strong as you wish. Butkeep in mind the two concepts of the strength of the structure and thebearing capacity of the soil. This is a simple deck to makethese calculations with and is very helpful at illustrating the concept.

Itcan get trickier as you change the complexity of the shape. But if youknow and understand these fundamental principles, deck load capacityquestions will be easy for you.

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Richard Bergman is the editor of DecksGo.com and a builder of custom homes and too many decks and fences to mention. He is also an active product developer and patent holder. Richard holds a B.Comm and LLB degree and particularly enjoyed patent law.

Beyond theory, he loves taking ideas and turning them into physical realities and that is why he builds. He is always working on something interesting and loves to share his knowledge with those who may need some help.

If you would like to be a featured builder and share an original article of interest to our visitors contact us and let us know.

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Calculate  Deck Load Capacity - Tributary Area (2024)
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