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

# Partial Factors

> Complete reference for partial factors used in EN 1992-4 calculations

This page provides a comprehensive reference for all partial factors (γ) used in EN 1992-4 anchor channel calculations.

## Purpose of Partial Factors

Partial factors account for:

* **Material variability** — Scatter in material properties
* **Model uncertainty** — Differences between theory and reality
* **Geometric tolerances** — Installation and manufacturing variations
* **Consequence of failure** — Reliability requirements

The overall safety format:

```
Ed ≤ Rd = Rk / γM

Where γM accounts for resistance uncertainties
```

## Resistance Partial Factors (γ<sub>M</sub>)

### Steel Failure Modes

| Application             | Symbol         | Recommended | Notes                   |
| ----------------------- | -------------- | ----------- | ----------------------- |
| Tension, f<sub>yk</sub> | γ<sub>Ms</sub> | 1.0         | Yield strength basis    |
| Tension, f<sub>uk</sub> | γ<sub>Ms</sub> | 1.2         | Ultimate strength basis |
| Shear                   | γ<sub>Ms</sub> | 1.0         | Standard                |
| Combined                | γ<sub>Ms</sub> | 1.2         | Conservative            |

<Note>
  Product ETAs may specify different γ<sub>Ms</sub> values. Always check the ETA for the specific product being used.
</Note>

### Concrete Failure Modes

| Failure Mode    | Symbol         | Recommended | EN 1992-4 Reference |
| --------------- | -------------- | ----------- | ------------------- |
| Concrete cone   | γ<sub>Mc</sub> | 1.5         | Table 4.1           |
| Concrete edge   | γ<sub>Mc</sub> | 1.5         | Table 4.1           |
| Concrete pryout | γ<sub>Mc</sub> | 1.5         | Table 4.1           |

### Other Failure Modes

| Failure Mode | Symbol          | Recommended | Notes                      |
| ------------ | --------------- | ----------- | -------------------------- |
| Pullout      | γ<sub>Mp</sub>  | 1.5         | Product-specific available |
| Splitting    | γ<sub>Msp</sub> | 1.5         | Standard                   |
| Blow-out     | γ<sub>Mc</sub>  | 1.5         | If applicable              |

## Complete Factor Table

Reference table for all modes:

| Mode          | Characteristic    | Partial Factor        | Design Resistance                         |
| ------------- | ----------------- | --------------------- | ----------------------------------------- |
| Steel tension | N<sub>Rk,s</sub>  | γ<sub>Ms</sub> = 1.2  | N<sub>Rd,s</sub> = N<sub>Rk,s</sub>/1.2   |
| Concrete cone | N<sub>Rk,c</sub>  | γ<sub>Mc</sub> = 1.5  | N<sub>Rd,c</sub> = N<sub>Rk,c</sub>/1.5   |
| Pullout       | N<sub>Rk,p</sub>  | γ<sub>Mp</sub> = 1.5  | N<sub>Rd,p</sub> = N<sub>Rk,p</sub>/1.5   |
| Splitting     | N<sub>Rk,sp</sub> | γ<sub>Msp</sub> = 1.5 | N<sub>Rd,sp</sub> = N<sub>Rk,sp</sub>/1.5 |
| Steel shear   | V<sub>Rk,s</sub>  | γ<sub>Ms</sub> = 1.0  | V<sub>Rd,s</sub> = V<sub>Rk,s</sub>/1.0   |
| Concrete edge | V<sub>Rk,c</sub>  | γ<sub>Mc</sub> = 1.5  | V<sub>Rd,c</sub> = V<sub>Rk,c</sub>/1.5   |
| Pryout        | V<sub>Rk,cp</sub> | γ<sub>Mc</sub> = 1.5  | V<sub>Rd,cp</sub> = V<sub>Rk,cp</sub>/1.5 |

## Reduction Factors (ψ)

In addition to γ factors, various ψ factors reduce characteristic resistances:

### Tension ψ Factors

| Factor         | Symbol            | Purpose             | Typical Range |
| -------------- | ----------------- | ------------------- | ------------- |
| Edge effect    | ψ<sub>s,N</sub>   | Edge disturbance    | 0.7 - 1.0     |
| Eccentricity   | ψ<sub>ec,N</sub>  | Non-uniform loading | 0.5 - 1.0     |
| Reinforcement  | ψ<sub>re,N</sub>  | Supplementary steel | 0.5 - 1.0     |
| Shell spalling | ψ<sub>ucr,N</sub> | Uncracked benefit   | 1.0 - 1.4     |

### Shear ψ Factors

| Factor        | Symbol           | Purpose             | Typical Range |
| ------------- | ---------------- | ------------------- | ------------- |
| Edge effect   | ψ<sub>s,V</sub>  | Perpendicular edge  | 0.7 - 1.0     |
| Thickness     | ψ<sub>h,V</sub>  | Member depth        | 0.7 - 1.0     |
| Eccentricity  | ψ<sub>ec,V</sub> | Non-uniform loading | 0.5 - 1.0     |
| Direction     | ψ<sub>α,V</sub>  | Load angle to edge  | 0.7 - 1.0     |
| Reinforcement | ψ<sub>re,V</sub> | Edge reinforcement  | 0.7 - 1.0     |

## National Annex Variations

National Annexes can modify recommended γ<sub>M</sub> values:

### Typical Variations

| Country                    | Variation                     |
| -------------------------- | ----------------------------- |
| Germany (DIN EN 1992-4/NA) | Generally follows recommended |
| UK (BS EN 1992-4/NA)       | Follows recommended values    |
| France (NF EN 1992-4/NA)   | Some modifications            |
| Spain (UNE EN 1992-4/NA)   | Generally follows recommended |

<Warning>
  Always verify applicable National Annex for your project jurisdiction. Clariti uses recommended values by default.
</Warning>

## Product-Specific Factors

ETAs may specify different factors based on testing:

### When ETA Values Differ

| Situation                | Action                            |
| ------------------------ | --------------------------------- |
| ETA γ<sub>M</sub> higher | Use ETA value (more conservative) |
| ETA γ<sub>M</sub> lower  | Use ETA value (test-validated)    |
| No ETA value             | Use EN 1992-4 recommended         |

Clariti automatically uses product-specific factors when available in the database.

## Consequence Classes

EN 1990 defines consequence classes affecting reliability:

| Class | Description      | γ Modification        |
| ----- | ---------------- | --------------------- |
| CC1   | Low consequence  | May reduce by \~10%   |
| CC2   | Medium (default) | Standard values       |
| CC3   | High consequence | May increase by \~10% |

Most building applications use CC2. Modification factors K<sub>FI</sub> apply to actions, not resistances.

## Durability Factors

For corrosion and environmental exposure:

| Exposure     | Consideration                        |
| ------------ | ------------------------------------ |
| Internal dry | Standard factors                     |
| External     | Material selection (stainless steel) |
| Aggressive   | Specialist assessment required       |

Durability is typically addressed through material selection rather than factor modification.

## Fire Design

For fire design situations:

| Parameter        | Fire Design            |
| ---------------- | ---------------------- |
| γ<sub>M,fi</sub> | Reduced (often 1.0)    |
| Loads            | Accidental combination |
| Resistance       | Temperature-reduced    |

Fire design follows EN 1992-1-2. Clariti focuses on ambient temperature design.

## In Clariti

### Factor Display

Clariti shows all factors in calculations:

1. **Summary view**: Shows resulting design resistance
2. **Expanded view**: Shows R<sub>k</sub>, γ<sub>M</sub>, and R<sub>d</sub> = R<sub>k</sub>/γ<sub>M</sub>
3. **ψ factors**: Each factor listed with value and source

### Factor Source

For each factor, Clariti indicates:

* EN 1992-4 reference (recommended values)
* ETA reference (product-specific values)
* Which value was used and why
