> ## 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.

# Link Loads and Reactions Between Calculators

> Track loads through a structure by linking reactions between Calcs.com beams, columns, walls, and footings, including sign convention for linked values.

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.

<img src="https://mintcdn.com/clearcalcs/XO7fzDjaQ7IYQ3qi/images/migrated/0c33aab834b2-67340e1cffb43fc4e2db8b09ca239cd1.png?fit=max&auto=format&n=XO7fzDjaQ7IYQ3qi&q=85&s=d0d61c401abb5ea1385e2ed0530ca326" alt="67340e1cffb43fc4e2db8b09ca239cd1.png" width="600" height="352" data-path="images/migrated/0c33aab834b2-67340e1cffb43fc4e2db8b09ca239cd1.png" />\
*STEPS*\*:\*\*\*

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

<img src="https://mintcdn.com/clearcalcs/Frl-BqFiuGxMu3Iv/images/migrated/820173a6f39c-b9a31995db71a5838161a54569b15de2.png?fit=max&auto=format&n=Frl-BqFiuGxMu3Iv&q=85&s=35fea59e2890055396ec88b62df4e5c8" alt="b9a31995db71a5838161a54569b15de2.png" width="482" height="189" data-path="images/migrated/820173a6f39c-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"

<img src="https://mintcdn.com/clearcalcs/7GJyORIkCuwKrW7N/images/migrated/1d4680cfd988-1d3e79c1b85e60f51d7f557b785f04d1.png?fit=max&auto=format&n=7GJyORIkCuwKrW7N&q=85&s=0d85c182e4008b94539e09504d4c2b9d" alt="1d3e79c1b85e60f51d7f557b785f04d1.png" width="600" height="214" data-path="images/migrated/1d4680cfd988-1d3e79c1b85e60f51d7f557b785f04d1.png" />

* Then select the wall reaction.

<img src="https://mintcdn.com/clearcalcs/wCKMGQrVqWo51C47/images/migrated/9e9ad35d33c4-3d0228a18904c53d37122a6c8bf83c2b.png?fit=max&auto=format&n=wCKMGQrVqWo51C47&q=85&s=966aefde4cc3d81711ad2bcb30ba85cd" alt="3d0228a18904c53d37122a6c8bf83c2b.png" width="600" height="219" data-path="images/migrated/9e9ad35d33c4-3d0228a18904c53d37122a6c8bf83c2b.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.

<img src="https://mintcdn.com/clearcalcs/Frl-BqFiuGxMu3Iv/images/migrated/68837c79bc6f-27ccc7c8f435c2103069c5520a872681.png?fit=max&auto=format&n=Frl-BqFiuGxMu3Iv&q=85&s=5db7b1d6333f35766d366fc0f4ccbb17" alt="27ccc7c8f435c2103069c5520a872681.png" width="600" height="552" data-path="images/migrated/68837c79bc6f-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:

<img src="https://mintcdn.com/clearcalcs/6PuU-K_D_MascHz6/images/migrated/cac624756d9a-file-kvwmm6uajl.png?fit=max&auto=format&n=6PuU-K_D_MascHz6&q=85&s=bd550042fa9354d8e89374a1f8a4d058" alt="" width="2359" height="1063" data-path="images/migrated/cac624756d9a-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":

<img src="https://mintcdn.com/clearcalcs/5zVEHycKpm3vA7at/images/migrated/394b567b0278-file-wskhcupqvo.png?fit=max&auto=format&n=5zVEHycKpm3vA7at&q=85&s=f0d945c6ed1d4a7e8640ca6734def7ee" alt="" width="1080" height="402" data-path="images/migrated/394b567b0278-file-wskhcupqvo.png" />

<img src="https://mintcdn.com/clearcalcs/-3TA4BOzcQ3BrOZT/images/migrated/9586a177df2f-file-jmhqzwivgw.png?fit=max&auto=format&n=-3TA4BOzcQ3BrOZT&q=85&s=884518a0103e370345af997cdaafa321" alt="" width="690" height="202" data-path="images/migrated/9586a177df2f-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.

## Sign convention for linked reactions

Calcs.com uses separate sign conventions for loads and reactions. **Positive loads act downward** (gravity direction); **positive support reactions act upward**. These conventions coexist and do not contradict each other. See [Sign and Axis Conventions](/docs/calculators/analysis/sign-and-axis-conventions).

The value passed through a load link is the upstream calculator's **vertical support reaction**, taken exactly as it appears in that calculator's reaction table. For typical gravity loading at a support, **positive values are upward**.

No sign flip is applied at the point of linking, regardless of the relative vertical position of the two calculators. A column sitting below a beam receives the same value, with the same sign, as a hanger picking up that beam from above. If you need the load to act in the opposite sense in the downstream calculator, you'll need to handle that explicitly, either by reading the reaction table directly or by applying the load manually.

<Tip>
  When a linked load doesn't match what you'd expect, open the upstream calculator's reaction table and check the sign and magnitude of the reaction you're linking. That value is what gets carried through verbatim.
</Tip>

<img src="https://mintcdn.com/clearcalcs/mueE8GfJEQAZURfI/images/learn_calcs/advanced_tricks/linked-beam-reactions-to-column-loads.png?fit=max&auto=format&n=mueE8GfJEQAZURfI&q=85&s=72dfb98dd01c039679ee84ff7b48be5a" alt="Beam support reactions linked to a column as point loads, showing matching D and L magnitudes" width="1024" height="576" data-path="images/learn_calcs/advanced_tricks/linked-beam-reactions-to-column-loads.png" />

*Linked beam reactions (positive upward at the support) pass through to the column load table with the same D and L magnitudes. Loads on the column are shown acting downward per Calcs.com's load sign convention.*

## How factoring works across linked loads

Linked loads pass between calculators at **ultimate (unfactored) values**, per load type (D, L, S, W, E, etc.). Each receiving calculator then applies its **own load combination factors once, internally** — for example, an ASD shear wall will apply the **0.7E** factor when it forms combinations, but a diaphragm sitting between two walls does not re-factor the seismic value on the way through.

This means an "ultimate" input label upstream and a "factored" output label downstream can look different without indicating any double-factoring. It is the single, correct application of the load combination factor.

<Warning>
  The one situation where factors can genuinely stack is if you **link a value that has already been factored** — for example, taking a factored output from one calculator and manually re-linking it as an input into another. Always link the reaction from the calculator that produced it (which exposes unfactored values), not a factored summary number.
</Warning>

For a multi-story lateral load path (wind or seismic → diaphragm → shear wall → wall below), link each shear wall from its own floor's diaphragm rather than chaining a shear wall reaction directly into the wall below.

## Load direction for inclined members

When linking a reaction into a downstream member that sits at an angle (for example, an **inclined rafter** feeding into a **column**), the **"Load Direction When Linking"** setting controls the axis along which the reaction is applied to the receiving member. Choose the axis that matches how the downstream member is actually resisting the load — global vertical/horizontal, or local (perpendicular to the member).

Typical gravity **beam → column** links pass **force** reactions (axial and shear). **Do not rely on linking for moment continuity** between calculators — if fixed-end moment transfer matters to your design, enter or check those moments explicitly rather than assuming the standard load link carries them.

## Why linked values may differ from the raw reaction

When you link the reaction from a **repeating member** (e.g. joists at a fixed spacing) into a supporting beam, Calcs.com converts the per-joist point load reaction into an **equivalent line load** based on the assumed tributary spacing before applying it to the downstream member. That is why the linked line load value on the beam will not numerically match the point load reaction reported by the joist calculator — it is the same load, expressed over the tributary width.

## Finding a reaction when the calculator has no reactions table

Some member calculators (for example, the **Wood Column** calculator) don't expose a dedicated reactions table. In those cases the reaction is computed internally and only exposed via load linking into the member below. To view the value directly, check **Critical Axial Load** in the Summary or read the **Axial Force diagram** at the base of the member.

## Which calculator pairs support load linking

Load Path Tracking works only between **specific calculator pairs**. If you don't see a chain-link icon on the load or reaction you're trying to link, that pair isn't currently supported — and no amount of retrying or reordering the sheets will surface one.

The most common supported chain is **stud walls linking via the Wood Column or Wood Beam calculators**: reactions at each stud pass into a Wood Column, and beam reactions pass into a Wood Beam sitting below. Rafter and joist reactions also link into supporting Wood Beams as either point loads or an equivalent line load, as shown earlier in this article.

**Masonry Gravity Wall does not currently link into Wall Footing.** If you're designing a masonry gravity wall bearing onto a wall footing, the base reactions from the **Masonry Gravity Wall** sheet will not appear as a link option inside the **Wall Footing** input table. This one has caught users out — treat it as a manual transfer.

<Warning>
  If an automated response ever tells you a particular pair is linkable, verify it by opening both sheets and looking for the chain-link icon. The presence of the icon is the ground truth, not any external summary.
</Warning>

### Workaround when a pair isn't supported

Copy the reactions across manually, keeping each load type separate:

1. Open the upstream calculator (e.g. **Masonry Gravity Wall**) and find the reaction table. The base reactions are reported at **ultimate (unfactored) values**, broken down by load type — dead (D), live (L), snow (S), wind (W), seismic (E), etc.
2. In the downstream calculator (e.g. **Wall Footing**), enter each reaction into the load input table under its matching load type. Do not sum load types together — the receiving calculator applies its own load combination factors internally, and combining upstream will double-count or misapply factors.
3. Re-check the input each time you change something in the upstream sheet. Manual transfers do not update automatically.

## Related

* [How to enter loads (patch, point, moment, axial, triangular, line)](https://calcs.com/docs/running-calculations/setting-up-a-calculation/loads/how-to-enter-loads-patch-point-moment-axial-triangular-line)
* [Change or create custom load combinations](https://calcs.com/docs/running-calculations/adjusting-a-calculation/change-load-combinations/change-or-create-custom-load-combinations)
* [How to force update a project](https://calcs.com/docs/projects/force-update/how-to-force-update-project)
