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To calculate the thickness of rectangular header boxes in a pressure vessel, you can use the formula derived from the ASME Boiler and Pressure Vessel Code. The thickness ( t ) is typically calculated using the equation ( t = \frac{P \cdot R}{S} + C ), where ( P ) is the internal pressure, ( R ) is the radius of the header box, ( S ) is the allowable stress of the material, and ( C ) is a corrosion allowance. Ensure to consider factors such as welds, joints, and any potential external loads that may affect the thickness requirement. Always verify calculations against applicable codes and standards for safety and compliance.

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