Horizontal Load Transfer In Structural Engineering [2024]

Horizontal load transfer of buildings and structures

When designing a building, my job as a structural engineer is to transfer vertical and horizontal loads through the building and down to the foundation, while verifying that all structural elements can resist these loads.

In this article, you’ll learn how the horizontal area load applied on a facade becomes a line load which acts on the floors and how this line load then turns into a point load on top of a shear wall.

We’ll run through 3 different examples because of the complexity of the topic.

Let’s get started. 🚀🚀


Step-By-Step Process To Transfer Horizontal Loads From Facades To Foundations

Here’s the step-by-step process I always follow when transferring horizontal loads through a building:

Step #1: Defining the static systems of the stabilizing elements (support conditions, hinge or moment stiff connections, etc.)
Step #2: Applying the horizontal loads like wind load, seismic load, earth pressure and/or imperfection load to the structural elements they act on
Step #3: Horizontal load transfer using the static systems


What Is Horizontal Load Transfer?

A building needs to transfer the horizontal and vertical loads that act on it down to the foundation. The loads travel from one structural element to another until they reach the foundation/soil. And of course all structural elements need to resist these loads.

We don’t use the same structural elements to resist horizontal loads as we do for vertical loads. Here are examples of structural elements that stabilize structures:

Usually, a building/structure consists of at least 2 of these 4 stabilizing elements.


Example #1: Precast Concrete Building

The stabilizing elements of a typical precast concrete building are shear walls and floor diaphragms.

Now, I have also designed precast concrete buildings which included steel/concrete frames and braces. But typically, at least 90% of all stabilizing elements are shear walls and floor diaphragms.

Overview of the elements of a typical precast concrete building.
Overview of the elements of a typical precast concrete building.

Step #1: Static systems of the stabilizing elements

Floor diaphragms are more tricky than other stabilizing elements and there are different methods to calculate these diaphragms but also to distribute the horizontal loads to the shear walls (elastic and plastic analysis).

Static systems of stabilizing elements for lateral loads perpendicular to the facades.
Static systems of stabilizing elements for lateral loads perpendicular to the facades.
Static systems of stabilizing elements for lateral loads perpendicular to the gables.

As mentioned above, there are a few ways to distribute the horizontal loads to the shear walls. We can use an elastic or plastic distribution. More on these methods in another article.

Step #2: Apply the horizontal loads

Let’s say the design horizontal wind load on the facade is 1.5 kN/m2 as the total of wind load area D and E. In the horizontal load transfer, we can simplify and apply the total load on one side of the building. But when you verify the diaphragms, you of course need to split them up and apply them separately.

Lateral wind load applied as an area load on the gable.
Lateral wind load applied as an area load on the gable.

Step #3: Load transfer using the static systems

We apply the load to the static system(s) and calculate the reaction forces. These reaction forces are then applied to the next structural element. We then again calculate the reaction forces of that element and apply it to the element that supports it.

The area load of 1.5 kN/m2 is applied to the facade. These facades distribute the area load to the floor diaphragms. Facade elements usually act as simply supported beams.

$$p_{d.f} = 1.5 kN/m^2 \cdot 3.5m/2 = 2.63 kN/m$$

This line load we can now apply to the floor diaphragms. We apply 2 ⋅ pd.f to the 1st floor.

Horizontal line loads applied to floor diaphragms (simplified as simply supported beams).
Horizontal line loads applied to floor diaphragms (simplified as simply supported beams).

The reaction forces of the beams are calculated as:

$$V_f = p_{d.f} \cdot 14m/2$$

Which leads to the reaction forces of Vf.2 = 18.4 kN and Vf.1 = 36.8 kN.

Now, Vf.2 and Vf.1 are applied to the static system of the shear walls.

Reaction forces of the floor diaphragms applied as point loads on the static systems of the shear walls (cantilever).
Reaction forces of the floor diaphragms applied as point loads on the static systems of the shear walls (cantilever).

The horizontal loads on the shear walls lead to a bending moment at the bottom of the walls and a horizontal reaction force. This article isn’t about shear walls, but I also added a vertical reaction force because there are always vertical loads acting on shear walls.

And the bigger the vertical loads the better because it reduces the bending moment.

The bending moment is then transferred into a compression zone.

Horizontal point load on a shear wall leads to a bending moment which leads to a compression zone.
Horizontal point load on a shear wall leads to a bending moment which leads to a compression zone.

nc and c depend on the magnitude of M. The bigger M the smaller c which means that the bigger the eccentricity of the load. If c become too small, we add reinforcement at the other side of the wall to take up tension.

Horizontal point load on a shear wall leads to a bending moment which leads to a compression zone and tension force.
Horizontal point load on a shear wall leads to a bending moment which leads to a compression zone and tension force.

You can check out our article about precast shear wall design to learn how you do these verifications.


Example #2: Steel Warehouse

The next example is a steel warehouse that consists of frames and wind braces as the stabilizing elements.

Overview of stabilizing elements of a steel warehouse.
Overview of stabilizing elements of a steel warehouse.

Step #1: Static systems of the stabilizing elements

In the scenario of lateral load acting perpendicular to the facades, the stabilizing elements are the frames.

Static system of the frame as the stabilizing elements of the warehouse perpendicular to the facades.
Static system of the frame as the stabilizing elements of the warehouse perpendicular to the facades.

In the scenario of lateral load acting perpendicular to the gables, the stabilizing elements are wind braces, which act together with the rafters, beams and columns like a truss.

Static system of the stabilizing elements of the warehouse perpendicular to the gables.
Static system of the stabilizing elements of the warehouse perpendicular to the gables.

Step #2: Apply the horizontal loads

Let’s stick with the wind loading of 1.5 kN/m2.

Horizontal area loads applied perpendicular to the facade.
Horizontal area loads applied perpendicular to the facade.
Horizontal area loads applied perpendicular to the gables.
Horizontal area loads applied perpendicular to the gables.

Step #3: Horizontal load transfer using the static systems

Let’s split this up into lateral loading perpendicular to the facades and to the gables.

Lateral loading perpendicular to the facades

The area load of 1.5 kN/m2 is applied to the facade elements. These facades distribute the area load to the columns of the frame. You could also choose a design where the facade elements span vertically. Then the line loads would be applied to the roof and the foundation raft. In some warehouse designs you also see “horizontal purlins” which reduce the span of the vertical facade elements

The line load on the columns is calculated as:

$$p_{b} = 1.5 kN/m^2 \cdot 5m = 7.5 kN/m$$

This line load we can now apply to the columns.

Horizontal line loads applied on the columns of the steel frame.
Horizontal line loads applied on the columns of the steel frame.

The frame is now transferring the horizontal loads down to the foundations with its moment stiff connections.

Modelling the frame in a frame analysis tool like Ftool or any FE program leads us to the reaction forces which the foundations have to be designed for.

Axial forces at the supports equal the vertical reaction forces. - = compression, + = tension.
Axial forces at the supports equal the vertical reaction forces. – = compression, + = tension.
Shear forces at the supports equal the horizontal reaction forces.
Shear forces at the supports equal the horizontal reaction forces.
Lateral loading perpendicular to the gables

The area load of 1.5 kN/m2 is applied to the facade elements. These facades distribute the area load to the foundation raft and the beam of the frame.

The line load on the beam is calculated as:

$$p_b = 5 kN/m^2 \cdot 5m/2 = 3.75 kN/m$$

This line load we can now apply to the beam/truss. How the loads travel through the compression and tension members is a topic for another article.

Horizontal line load applied to the wind bracing (truss) of the roof of the steel warehouse.
Horizontal line load applied to the wind bracing (truss) of the roof of the steel warehouse.

The reaction forces Vb are calculated like for a simply supported beam:

$$V_b = 3.75 kN/m \cdot 7m/2 = 13.13 kN$$

Vb can now be applied to the vertical wind bracing system.

Reaction force Vb of the roof bracing system applied as point load on the vertical bracing system.
Reaction force Vb of the roof bracing system applied as point load on the vertical bracing system.

With the SkyCiv truss calculator, we calculate the reaction forces, because the static system is statically indeterminate.

Reaction forces of bracing system due to a horizontal point load.
Reaction forces of bracing system due to a horizontal point load.

Now, you can design the pad foundation with these reaction forces.


Final Words

3 examples of how to do horizontal load transfer. 💯💯

As already said, it’s a very complex topic, and it takes a lot of practice and experience to master.

I hope these examples with 3D visualizations helped you understand load transfer better. It took me hours to write this article and model the 3D structures in Rhino. I hope the hours I put into it were worth it.

In this article, we assumed the loads. But if you are interested in learning how to calculate horizontal and vertical loads, then I recommend you check out our guide on the 7 different types of loads on buildings.


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