**Calculation of the length of the short arm of the Z-shaped compensator**

Z-shaped compensators are called sections of the pipeline with two branches in the same plane. They are used for self-compensation of thermal elongations in pipelines for any laying methods, regardless of diameter.

**Calculation of the Z-shaped pipe compensator** is performed to determine the dimensions of the Overall length (H) and the arm (L, P), at which the bending stress from the thermal deformation of the pipeline will not exceed the permissible value of **80 MPa**.

This online program will calculate the bending stress at critical sections of the pipeline, with a Z-shaped compensator of specified dimensions.

*The algorithm is taken from the methodology for calculating the Z-shaped compensator shown — Designer's handbook 'Designing heat networks' edited by A. A. Nikolaev.*

- The pipeline is filled with water or steam
- The pipeline is made of steel pipe
- The maximum temperature of the water does not exceed 200 °С
- The maximum pressure in the pipeline does not exceed 1.6 MPa (16 bar)
- The compensator is installed on a horizontal pipeline
- Fixed supports are considered absolutely rigid
- The pipeline does not feel wind pressure and other loads
- The resistance of the frictional forces of the movable supports during thermal elongation is not taken into account
- Elbows are smooth with an angle 90°

**Sample calculation of a Z-shaped compensator**

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