> ## Documentation Index
> Fetch the complete documentation index at: https://calcs.com/docs/llms.txt
> Use this file to discover all available pages before exploring further.

# Linking Loads and Reactions Between Calculators (Load Path Tracking)

> Linking Loads and Reactions Between Calculators (Load Path Tracking)

Calcs.com makes it easy to link reactions between beams, columns, and foundations as point loads or line loads where applicable. In this way, you can dynamically track loads through a structure.

No need to copy and paste reactions between calculations! If the top calculator's reactions change, the loads being inherited onto the lower calculator will update automatically. This includes all loads such as dead, live, snow, seismic, and wind.

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| ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | ------------------------------------------------------------------------------------------------------------------------ |
| ![](data:image/png;base64,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) | *Anywhere you see the chain link icon, you can click to link a load (reaction) from another calculator in your project.* |

Here's a short video we recorded of load tracking in action:

## Linking Wall Loads to Beams / Lintels

Are you designing a beam supporting a masonry wall? Do you need to take into account windows or other openings?

This can be accomplished through the Calcs.com linking functionality.

![67340e1cffb43fc4e2db8b09ca239cd1.png](https://d33v4339jhl8k0.cloudfront.net/inline/90292/f0e0e234630ba25dbe35f9cb642d92746c0919c9/c8162299d568e27862aab4ec4831064a23674bc1/67340e1cffb43fc4e2db8b09ca239cd1.png)\
*STEPS*\*:\*\*\*

* Create a Wall analysis calculation, and apply your loads.

![b9a31995db71a5838161a54569b15de2.png](https://d33v4339jhl8k0.cloudfront.net/inline/90292/662213ed9ac0838b7b62b0486a792c71944ddbd8/7cf631329ab4a72fbb273af4abaa5ed4ae2261aa/b9a31995db71a5838161a54569b15de2.png)

* The reaction arrows marked in blue are the reactions that will be linked to your beam.
* Create a "steel beam" or "wood beam" calculator, and click the link icon under "Line Loads"

![1d3e79c1b85e60f51d7f557b785f04d1.png](https://d33v4339jhl8k0.cloudfront.net/inline/90292/50f591833d063f45e52a29c8a39fc883a9999862/24cb5a1a71d57b8d77989c57fd2cd8c66779c0e3/1d3e79c1b85e60f51d7f557b785f04d1.png)

* Then select the wall reaction.

![3d0228a18904c53d37122a6c8bf83c2b.png](https://d33v4339jhl8k0.cloudfront.net/inline/90292/f8a76f6ec3d28194de981822d4134930b70d4ff2/59e7144f39218678a640078aacf8185d814612ff/3d0228a18904c53d37122a6c8bf83c2b.png)

* Enter a start and end position. For example, I have a 5m beam below, and the wall is 4m long, so I have centered it to the beam.

![27ccc7c8f435c2103069c5520a872681.png](https://d33v4339jhl8k0.cloudfront.net/inline/90292/eacb31688b7719c4ce85702b0e5928dbb0c8a0d6/1b7df861868062a90de1b7336cea3b2451321de2/27ccc7c8f435c2103069c5520a872681.png)

## ****Linking Distributed Rafter / Joist Loads****

Did you know that rafters or joists may be linked into a bearer as a line load?

This would be useful in the case where regularly spaced beams each will have the same reaction. This may be visualised to the diagram of a floor joist below:

![](https://s3.amazonaws.com/helpscout.net/docs/assets/5c09df402c7d3a31944ed720/images/6100d096b55c2b04bf6d8b3b/file-KvwMM6uAJl.png)\
To do this, enter the joist spacing as shown below:

![](data:image/png;base64,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)

Then in your header beam, link the Floor Joist as a "Line Load":

![](https://s3.amazonaws.com/helpscout.net/docs/assets/5c09df402c7d3a31944ed720/images/6100b181b55c2b04bf6d8adf/file-wskHcuPQvo.png)

![](https://s3.amazonaws.com/helpscout.net/docs/assets/5c09df402c7d3a31944ed720/images/6100b1e4b37d837a3d0de10b/file-jMHqZwIVgw.png)

****Some things to note:****

* If you make changes to a beam which is linked and bearing onto others, make sure to check those sheets to ensure they are still passing (you can see their status in the sidebar or member schedule)
* Calcs.com will automatically detect and stop circular references, but it will not allow you to delete beams that are linked to each other. You will be warned that other sheets are linked to this before you delete, and if you proceed you'll need to go to those sheets and clear the link/point load.
