Whether a smoke detector is required above a false ceiling depends on the specific application and local building codes, but generally speaking, smoke detectors are not required if the space is not considered a habitable or occupable area. If the space above the ceiling is used for ambient air treatment, a detector may be required.
The following is anka security for you to introduce:

General rules:

Smoke detectors usually need to be installed in occupable areas and usually do not need to be installed in space above the ceiling unless they are part of the booster chamber or are used for ambient air.

Static pressure space:

If the space above the ceiling is a booster chamber (a compartment or chamber used to circulate air), a smoke detector may be needed both above and below the ceiling.

Ambient air:

If the space above the ceiling is used to circulate ambient air, a detector may be required.

Local code:

Building codes and fire safety regulations vary by location, so local codes and competent agencies (AHJs) must be consulted for specific requirements.

NFPA 72:

The National Fire Alarm and Signal Code (NFPA 72) provides detailed guidance on the placement of smoke detectors, including spacing requirements and considerations for mobile floors and ceilings according to UpCodes.

Example:

In some cases, if the ceiling is perforated and there is no significant airflow, a detector can be placed above the ceiling to detect fires originating from the space.

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