Rod and Bar Element Temperature Field
Description: Defines a temperature field for CROD and CBAR elements for determination of thermal loading and stress recovery.
Format:
Example:
Alternate Format and Example of Continuation Entry:
| Field | Definition | Type | Default |
|---|---|---|---|
| SID | Temperature set identification number. | Integer > 0 | Required |
| EIDi, EIDj, EIDk | Element identification number(s). | Integer > 0; EID2 < EIDi, EIDj < EIDk | |
| TA, TB | Average temperature over the area at end A and end B. | Real | |
|
Effective linear gradient in direction i on end j (CBAR only). | Real | |
| Tij | Temperature at point i as defined on the PBAR entry at end j. | Real |
Remarks:
- SET ID must be unique with respect to all other LOAD type entries if TEMPERATURE is specified in the Case Control Section.
- If field 6 and/or 7 is blank, the effective linear thermal gradient is calculated using the stress recovery temperatures (fields 2 through 9 on the continuation entry) and stress recovery coefficients (fields 2 through 9 on the PBAR continuation entry. For example, the equation at end A is:
where,
Note: It is assumed that all four stress recovery coefficients are specified and that they are ordered as follows: C(+,+), D(-,+), E(-,-), F(+,-) in the y-z coordinate system. - The linear temperature gradients, not the Tij values, are used for stress recovery.
- If the second (and succeeding) continuation is present, EID1 and elements specified on the second (and succeeding) continuations are used.
- Elements must not be specified more than once.
- If thermal effects are requested, all elements must have a temperature field defined either directly on a TEMPP1 or TEMPRB entry or indirectly as the average of the connected grid point temperatures defined on the TEMP or TEMPD entries. Directly defined element temperatures always take precedence over the average of grid point temperatures.
- The effective thermal gradients in the element coordinate system for the bar element are defined by the following integrals over the cross-section. For end A (end B is similar):
where, TA(y, z) is the temperature at point y, z (in the element coordinate system) at end A of the bar. See the CBAR entry description for the element coordinate system: I1 and I2 are the moments of inertia about the z and y-axes, respectively. The temperatures are assumed to vary linearly along the length (x-axis). Note that if the temperature varies linearly over the cross-section, then T'1A, T'1B, T'2A, and T'2B are the actual gradients.