Texas Transportation Code - TRANSP § 621.406. Additional Gross Weight Registration

(a) If the gross weight of the motor vehicle is not heavier than the maximum gross weight allowed for the vehicle but is heavier than the registered gross weight for the vehicle, the weight enforcement officer shall require the operator or owner of the vehicle to apply to the nearest available county assessor-collector to increase the gross weight for which the vehicle is registered to a weight equal to or heavier than the gross weight of the vehicle before the operator or owner may proceed.

(b) The vehicle may not be operated further over the public highways or roads of the state until the registered gross weight of the vehicle has been increased as required by Subsection (a) unless the load consists of livestock or perishable merchandise, in which event the operator or owner may proceed with the vehicle in the direction of the vehicle's destination to the nearest practical location at which the vehicle's load can be protected from damage or destruction before increasing the registered weight.

(c) If an operator or owner is found to be carrying a load that is heavier than the load allowed for the registered gross weight of the vehicle, the operator or owner shall pay for the registration of the additional weight for the entire period for which the vehicle is registered without regard to whether the owner or operator has been carrying similar loads from the date of purchase of the vehicle's current license registration for that registration period.