## On this page

  

 

 # `RigidBodyTransformationMatrix`

 Last update: 09.03.2026 

<a id="ansys.mechanical.stubs.v252.Ansys.Mechanical.DataModel.Utilities.RigidBodyTransformationMatrix"></a>

#### *class* Ansys.Mechanical.DataModel.Utilities.RigidBodyTransformationMatrix

Bases: [`object`](https://docs.python.org/3/library/functions.html#object)

A 4x4 transformation matrix, to be used explicitly for rigid body transformations. The transformation matrix is in column-major format. Elements 0-3 represent, respectively, the x-components of the X axis, Y axis, Z axis, and translation with respect to global. Identically, elements 4-7 represent the y components and elements 8-11 the z components. Elements 2-15, per rigid-body requirements, are expected to be \[0.0, 0.0, 0.0, 1.0\].

The ability to piecewise set rotation and translation components precludes the option of validating the matrix data at every operation. Thus, these values **\*must\*** be checked before the data is used.

The class Ansys.ACT.Common.SimpleTransform provides a simplified mechanism for working with rigid body transformations and getting a RigidBodyTransformationMatrix object.

<a id="overview"></a>

## Overview

### Properties

NameDescription[`Data`](#RigidBodyTransformationMatrix.Data)A 16-value list representing a linearized 4x4 transformation matrix.[`S`](#RigidBodyTransformationMatrix.S)Element 15: the transformation scale, which must be ‘1.0’ for rigid body[`T_x`](#RigidBodyTransformationMatrix.T_x)Element 3: the x component of the translation.[`T_y`](#RigidBodyTransformationMatrix.T_y)Element 7: the y component of the translation.[`T_z`](#RigidBodyTransformationMatrix.T_z)Element 11: the z component of the translation.[`X_x`](#RigidBodyTransformationMatrix.X_x)Element 0: the x component of the X axis rotation.[`X_y`](#RigidBodyTransformationMatrix.X_y)Element 4: the y component of the X axis rotation.[`X_z`](#RigidBodyTransformationMatrix.X_z)Element 8: the z component of the X axis rotation.[`Y_x`](#RigidBodyTransformationMatrix.Y_x)Element 1: the x component of the Y axis rotation.[`Y_y`](#RigidBodyTransformationMatrix.Y_y)Element 5: the y component of the Y axis rotation.[`Y_z`](#RigidBodyTransformationMatrix.Y_z)Element 9: the z component of the Y axis rotation.[`Z_x`](#RigidBodyTransformationMatrix.Z_x)Element 2: the x component of the Z axis rotation.[`Z_y`](#RigidBodyTransformationMatrix.Z_y)Element 6: the y component of the Z axis rotation.[`Z_z`](#RigidBodyTransformationMatrix.Z_z)Element 10: the z component of the Z axis rotation.[`tau_x`](#RigidBodyTransformationMatrix.tau_x)Element 12: the x component of the shear, which must be ‘0.0’ for rigid body[`tau_y`](#RigidBodyTransformationMatrix.tau_y)Element 13: the y component of the shear, which must be ‘0.0’ for rigid body[`tau_z`](#RigidBodyTransformationMatrix.tau_z)Element 14: the z component of the shear, which must be ‘0.0’ for rigid body<a id="property-detail"></a>

## Property detail

<a id="RigidBodyTransformationMatrix.Data"></a>

### *property* RigidBodyTransformationMatrix.Data *: List\[Any\] | [None](https://docs.python.org/3/library/constants.html#None)*

A 16-value list representing a linearized 4x4 transformation matrix.

<a id="RigidBodyTransformationMatrix.S"></a>

### *property* RigidBodyTransformationMatrix.S *: [float](https://docs.python.org/3/library/functions.html#float) | [None](https://docs.python.org/3/library/constants.html#None)*

Element 15: the transformation scale, which must be ‘1.0’ for rigid body transformations.

<a id="RigidBodyTransformationMatrix.T_x"></a>

### *property* RigidBodyTransformationMatrix.T\_x *: [float](https://docs.python.org/3/library/functions.html#float) | [None](https://docs.python.org/3/library/constants.html#None)*

Element 3: the x component of the translation.

<a id="RigidBodyTransformationMatrix.T_y"></a>

### *property* RigidBodyTransformationMatrix.T\_y *: [float](https://docs.python.org/3/library/functions.html#float) | [None](https://docs.python.org/3/library/constants.html#None)*

Element 7: the y component of the translation.

<a id="RigidBodyTransformationMatrix.T_z"></a>

### *property* RigidBodyTransformationMatrix.T\_z *: [float](https://docs.python.org/3/library/functions.html#float) | [None](https://docs.python.org/3/library/constants.html#None)*

Element 11: the z component of the translation.

<a id="RigidBodyTransformationMatrix.X_x"></a>

### *property* RigidBodyTransformationMatrix.X\_x *: [float](https://docs.python.org/3/library/functions.html#float) | [None](https://docs.python.org/3/library/constants.html#None)*

Element 0: the x component of the X axis rotation.

<a id="RigidBodyTransformationMatrix.X_y"></a>

### *property* RigidBodyTransformationMatrix.X\_y *: [float](https://docs.python.org/3/library/functions.html#float) | [None](https://docs.python.org/3/library/constants.html#None)*

Element 4: the y component of the X axis rotation.

<a id="RigidBodyTransformationMatrix.X_z"></a>

### *property* RigidBodyTransformationMatrix.X\_z *: [float](https://docs.python.org/3/library/functions.html#float) | [None](https://docs.python.org/3/library/constants.html#None)*

Element 8: the z component of the X axis rotation.

<a id="RigidBodyTransformationMatrix.Y_x"></a>

### *property* RigidBodyTransformationMatrix.Y\_x *: [float](https://docs.python.org/3/library/functions.html#float) | [None](https://docs.python.org/3/library/constants.html#None)*

Element 1: the x component of the Y axis rotation.

<a id="RigidBodyTransformationMatrix.Y_y"></a>

### *property* RigidBodyTransformationMatrix.Y\_y *: [float](https://docs.python.org/3/library/functions.html#float) | [None](https://docs.python.org/3/library/constants.html#None)*

Element 5: the y component of the Y axis rotation.

<a id="RigidBodyTransformationMatrix.Y_z"></a>

### *property* RigidBodyTransformationMatrix.Y\_z *: [float](https://docs.python.org/3/library/functions.html#float) | [None](https://docs.python.org/3/library/constants.html#None)*

Element 9: the z component of the Y axis rotation.

<a id="RigidBodyTransformationMatrix.Z_x"></a>

### *property* RigidBodyTransformationMatrix.Z\_x *: [float](https://docs.python.org/3/library/functions.html#float) | [None](https://docs.python.org/3/library/constants.html#None)*

Element 2: the x component of the Z axis rotation.

<a id="RigidBodyTransformationMatrix.Z_y"></a>

### *property* RigidBodyTransformationMatrix.Z\_y *: [float](https://docs.python.org/3/library/functions.html#float) | [None](https://docs.python.org/3/library/constants.html#None)*

Element 6: the y component of the Z axis rotation.

<a id="RigidBodyTransformationMatrix.Z_z"></a>

### *property* RigidBodyTransformationMatrix.Z\_z *: [float](https://docs.python.org/3/library/functions.html#float) | [None](https://docs.python.org/3/library/constants.html#None)*

Element 10: the z component of the Z axis rotation.

<a id="RigidBodyTransformationMatrix.tau_x"></a>

### *property* RigidBodyTransformationMatrix.tau\_x *: [float](https://docs.python.org/3/library/functions.html#float) | [None](https://docs.python.org/3/library/constants.html#None)*

Element 12: the x component of the shear, which must be ‘0.0’ for rigid body transformations.

<a id="RigidBodyTransformationMatrix.tau_y"></a>

### *property* RigidBodyTransformationMatrix.tau\_y *: [float](https://docs.python.org/3/library/functions.html#float) | [None](https://docs.python.org/3/library/constants.html#None)*

Element 13: the y component of the shear, which must be ‘0.0’ for rigid body transformations.

<a id="RigidBodyTransformationMatrix.tau_z"></a>

### *property* RigidBodyTransformationMatrix.tau\_z *: [float](https://docs.python.org/3/library/functions.html#float) | [None](https://docs.python.org/3/library/constants.html#None)*

Element 14: the z component of the shear, which must be ‘0.0’ for rigid body transformations.