Are Natural Smoke Vents Obstructed for Stage?

We have an auditorium with a stage area. The stage area is fully sprinklered and provided with four natural smoke vents at the roof.

Below the smoke vents at a depth of almost 10-feet (3 meters) there is structural steel frame (provided for structural stability) arranged with narrow gap of only about 1-inch (30 mm) and obstructing all the smoke vents. We understand this steel frames will deflect the smoke plume and affect the performance of smoke vents.

Is there a standard/code reference regarding how to include this obstruction in the calculations and to prove to AHJ that the smoke vents would still be sufficient?

Thanks in advance.

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