# Queen Post Trusses Explained! [2023]

Last updated: April 4th, 2023

**Are you building a small shed or timber roof for your house, but you’re not sure which type of truss will be best?**

The truss is a crucial component of the roof and will affect the overall look and strength of a building, but it’s challenging to decide if a Queen Post Truss, a King Post Truss or maybe a Fink truss is the right choice for the project.

In this blog post, we’ll take a closer look at Queen Post Trusses and explain their* key features*,

**, and**

*benefits**.*

**common uses**We’ll also go through a * calculation example*, step-by-step.

By the end, you’ll better understand whether a queen post truss is the right choice for your roof.

Alright, let’s talk QUEEN POST** **TRUSSES. ππ

## What Is a Queen Post Truss?

The queen post truss is a structural system commonly used in engineering projects to support roofs. It consists of two vertical posts connected by a horizontal beam, two inclined rafters and a horizontal tie beam.

*The difference between a king post truss and a queen post truss is that the first has just one central vertical post, while a queen post truss has two. *

That means queen post trusses are better for longer spans.

Let’s have a look at the *Queen** Post Truss* and its members.β¬οΈβ¬οΈ

- Rafter
- Queen Posts
- Straining beam
- Tie beam

#### What is the Queen Post Truss used for?

Queen Post trusses are mainly used as roof structures of

- Sheds or
- in general, for roof structures with smaller spans in buildings.

In most cases, timber is the main material for queen post trusses, however steel could also be an option.

Let’s look at the static system to get a better understanding of the structural behaviour of the Queen Post Truss.ππ

## Static System

The static system of the Queen post truss is * characterized* by having

- hinge connections at all nodes
- a pin and roller support, which makes the system statically determinate. Therefore, the internal forces can be calculated with the 3 equilibrium equations.

##### Hinges

Most truss structures are designed with * hinge connections*, mainly due to 2 reasons:

Trusses with hinge connections make the structure statically determinate, which means that the internal forces can be calculated by hand. Especially until advanced Finite element software programs weren’t widely available, this was the main reason for using hinge connections. If fixed connections are used, but no software is available, advanced methods like the method of consistent deformation can be used. However, these methods are complicated and susceptible to calculation failures.*Easier to calculate:*Hinge connections are cheaper to build than fixed connections.*Cost:*

It definitely makes sense to be aware of the differences of a truss with hinges and fixed connections. In the picture above, you can see the “normal” Queen post truss with hinge connections.

We also summarize the characteristics of the truss with fixed connections and a mix of fixed and hinge connections a bit further below.

##### Characteristics

##### Loads

In most cases, the Queen post truss is used as a roof structure, where dead. snow, wind and live loads are applied on the top or rafters.

##### Support types

1 Pin and 1 Roller support

##### Reactions

Pin support: Horizontal A_{H} and vertical reaction force A_{V}

Roller support: Vertical reaction force B_{V}

##### Connection types

Hinge connections: Moment is 0 in hinge connections.

##### Queen Post Truss with fixed connections

The Queen post truss with fixed connections has the following differences to hinge connections:

- Bending moments in the connections
- More rigidity -> more robustness
- Smaller vertical deflection

##### Queen Post Truss with fixed and hinge connections

The most realistic static system is actually a mix of fixed and hinge connections.

*So why is this the most realistic static system?*

It’s because usually the rafters and tie beam are delivered in one piece, meaning that they are constructed continuous and the posts and beams are attached to them.

The rafters basically turn into a 2-span continuous beam, which means that the static system is no longer statically determinate.

This means that advanced methods with FE programs need to be used to calculate the internal forces like Moment, Normal and Shear forces.

Alright, now that we have learned how to set up our static system, we are ready to calculate the * internal compression and tension forces* of the statically determinate truss.ππ

## Queen Post Truss Analysis

Let’s say our Queen Post Truss is a roof structure. Therefore, the truss is exposed to the snow load only on the rafters.

We also simplify and say that the load is 2 kN/m. This equals a snow load of 1 kN/m^{2} and a truss spacing of 2m. Check out this article to learn more about the snow load.

$$1 kN/m^2 \cdot 2m = 2 kN/m$$

Before we start with the calculations, let’s give the nodes π΅ and bars π΄ some indices, so the identification is easier later in the internal force calculation.

To calculate the compression and tension forces of the truss members with the 3 equilibrium equations, we do another approximation.

The Line load of 2 kN/m is approximated as point loadsβ¬οΈ in the nodes, because otherwise the rafters would be beams instead of bars, which makes the calculation a lot more difficult.

The point load applied to nodes (a) and (d) is calculated as

$$2 kN/m \cdot 1m = 2.0 kN$$

βBut be careful. The point loads are only transformed like this for the snow load. Dead, wind and live load are applied differently. Check out our article about how to apply loads to roofs.

The point loads applied to nodes (e) and (f) are calculated as

$$2 kN/m \cdot 2m = 4 kN$$

and the point load applied to (g) is calculated as

$$2 kN/m \cdot 2m = 4 kN$$

Let’s calculate. ππ

### Calculation of Reaction Forces

As the structure is statically determinate, the reaction forces can be calculated with the **3 Equilibrium equations.**

In our case, we are calculating the support forces A_{H}, A_{V} and B_{V}.

$\sum H = 0: A_H = 0$

$\sum V = 0: A_V + B_V \, – 2 \cdot 2 \, \mbox{kN} \, – 2 \cdot 4 \, \mbox{kN} – 4 \, \mbox{kN}= 0 $ -> $A_V = B_V = \frac{2 \cdot 2 + 2 \cdot 4 + 4}{2} \mbox{kN} = 8 \mbox{kN}$

$\sum M = 0: M_a = 0$

### Calculation of the internal forces

*Node a*

*Node a*

Alright, now that we know the reaction forces, we can calculate the normal force of the first bar elements 1 and 4.

To do that, we only look at node 1 and its point loads/normal forces A_{V}, 2 kN, N_{1} and N_{4}.

$$ \alpha = atan(\frac{1.5m}{2m}) = 36.9Β° $$

**Vertical ***Equilibrium:*

$$ \sum V = 0: A_v – 2 kN + N_4 \cdot sin(\alpha) = 0$$

Let’s solve that for N_{4}.

$$ N_4 = \frac{2 kN – 8 kN}{sin(\alpha)} = -10 kN$$

**Horizontal ***Equilibrium:*

$$ \sum H = 0: N_4 \cdot cos(\alpha) + N_1 = 0$$

Let’s solve that for N_{1}.

$$ N_1 = – N_4 \cdot cos(\alpha) = 8 kN$$

*Node *b

*Node*

**Horizontal ***Equilibrium:*

$$ \sum H = 0: N_{1} – N_2 = 0$$

Let’s solve that for N_{2}.

$$ N_{2} = N_1 = 8 kN$$

**Vertical ***Equilibrium:*

$$ \sum V = 0: N_5 = 0 $$

*Node *e

*Node*

$$ \alpha = 36.9Β° $$

**Vertical ***Equilibrium:*

$$ \sum V = 0: 4 kN + N_4 \cdot sin(\alpha) – N_9 \cdot sin(\alpha) + N_5 = 0$$

Let’s solve that for N_{9}.

$$ N_9 = N_4 + \frac{4 kN}{sin(\alpha)} + 0 kN = -3.33 kN$$

**Horizontal ***Equilibrium:*

$$ \sum H = 0: -N_{4} \cdot cos(\alpha) + N_9 \cdot cos(\alpha) + N_8 = 0$$

Let’s solve that for N_{8}.

$$ N_{8} = N_{4} \cdot cos(\alpha) – N_{9} \cdot cos(\alpha) = – 5.33 kN$$

Well done! Now we have calculated the normal forces of ALL bars.ππ

What all? But we are missing half of the bars.

Yes! But due to symmetry we know that N_{1} = N_{3}, N_{4} = N_{7}, N_{5} = N_{6}, N_{9} = N_{10}.

So, to summarize it, a normal force diagram helps to understand how the loads travel through the truss.

*Normal force diagram*

*Normal force diagram*

Now, as you can see, the vertical posts don’t take up any forces, which leads to an inefficient design.

It could be considered to remove both posts. The roof structure would then be a collar beam roof.

Another idea is to include some diagonals connecting the rafters with nodes b and c. The vertical posts would then also take up some axial forces.

### Compression and Tension Members

Now, as you can see in the normal force diagram, some members have a positive (+) and some have a negative (-) normal force.

A negative (-) normal force means that the member is under compression π΅, while a positive (+) normal force means that the member acts in tension π΄.

## Advantages and Disadvantages

#### Pros

- Aesthetically pleasing structures
- Suitable for small spans: Queen post trusses are typically used for small spans of small residential and commercial buildings, such as sheds and barns.

#### Cons

- Short span: The king post truss is limited to small spans
- Posts: In more load cases, the posts don’t take up any axial forces, leading to an inefficient use of the material

## Conclusion

Now, that you got an overview of the * Queen Post Truss*, and how we calculate its internal forces, you can learn about loads, because every truss is exposed to loads.

Because there are always multiple loads acting on ** Queen Post Trusses**, considering these different loads in the structural design is done by setting up Load Combinations with safety factors.π¦Ί

Once all load cases and combinations are set up, the structural elements can be designed. We have already written a guide on how to design a timber truss. Check it out!

If you want to learn more about trusses, make sure to read our guide on the different types of trusses.

I hope that this article helped you understand the ** Queen Post Truss** and how to go further from here. In case you still have questions.

Let us know in the comments below βοΈ.

## Queen Post Truss FAQ

**How is a King Post Truss different from a Queen Post Truss?**

A queen post truss is a type of truss design mainly used as roof structures. It consists of two vertical posts, a horizontal beam, and rafters that are distribute the external loads (wind, snow, live load).

**What are some common uses of Queen Post Trusses?**

Queen post trusses are often used in residential and small commercial buildings, such as barns, sheds, and small churches. They can also be used in buildings as decorative elements, as it’s an aesthetically pleasing roof structure.

Hi,

First thanks for this informative article – really nice.

Second, The top node should not have 8 kN. It should be 4 kN.

If you quickly look globally the reactions should be VA=VB=(2kN/m*8m)/2=8kN (not 10 kN).

/Andreas

Hi Andreas,

thanks for finding the mistake. It’s now updated. ππ

Laurin