Question

Difficulty: MediumWeight Definitions and Limits (GVWR, GCWR, Axle Weights)

A regional delivery fleet operates a three-axle straight truck across interstate highways. The truck has an unladen (tare) weight of 18,200 lb18,200\text{ lb} and displays the following manufacturer and regulatory specifications:

SpecificationWeight Rating / Legal Limit
Manufacturer Gross Vehicle Weight Rating (GVWR)52,000 lb52,000\text{ lb}
Front Steer Axle Rating (GAWR)14,000 lb14,000\text{ lb}
Rear Tandem Axle Rating (GAWR)40,000 lb40,000\text{ lb}
Federal Interstate Single Axle Limit20,000 lb20,000\text{ lb}
Federal Interstate Tandem Axle Limit34,000 lb34,000\text{ lb}

What is the maximum allowable cargo payload, in pounds (lb\text{lb}), that this truck can legally carry on the interstate highway system?

Answer: 29800 lb

Answer

The maximum allowable cargo payload is 29,800 lb29,800\text{ lb}.
The correct cargo payload of 29,800 lb29,800\text{ lb} is determined by finding the most restrictive legal gross weight ceiling and subtracting the vehicle's unladen tare weight. The steer axle is limited to its GAWR of 14,000 lb14,000\text{ lb} (below the 20,000 lb20,000\text{ lb} statutory single axle limit), while the tandem drive axle is capped by the federal statutory limit of 34,000 lb34,000\text{ lb} (below its 40,000 lb40,000\text{ lb} GAWR). Adding these binding axle limits gives a total gross weight limit of 48,000 lb48,000\text{ lb}, which is more restrictive than the vehicle's 52,000 lb52,000\text{ lb} GVWR. Subtracting the tare weight of 18,200 lb18,200\text{ lb} from 48,000 lb48,000\text{ lb} yields 29,800 lb29,800\text{ lb}.

Step-by-Step Solution

1
Determine the governing legal limit for each axle group.
Steer axle limit is 14,000 lb14,000\text{ lb}; tandem axle limit is 34,000 lb34,000\text{ lb}.
An axle cannot legally exceed either its manufacturer Gross Axle Weight Rating (GAWR) or the statutory federal limit. The front steer axle is restricted by its GAWR of 14,000 lb14,000\text{ lb} (since 14,000 lb<20,000 lb14,000\text{ lb} < 20,000\text{ lb}), while the rear tandem axle is restricted by the federal statutory limit of 34,000 lb34,000\text{ lb} (since 34,000 lb<40,000 lb34,000\text{ lb} < 40,000\text{ lb}).
2
Determine the maximum legal gross vehicle weight.
48,000 lb48,000\text{ lb}
Summing the legal axle maximums yields 14,000 lb+34,000 lb=48,000 lb14,000\text{ lb} + 34,000\text{ lb} = 48,000\text{ lb}. Because this combined axle ceiling is lower than the manufacturer Gross Vehicle Weight Rating (GVWR) of 52,000 lb52,000\text{ lb}, the legal gross weight is governed by the 48,000 lb48,000\text{ lb} sum.
3
Calculate the maximum allowable cargo payload by subtracting empty tare weight from maximum legal gross weight.
29,800 lb29,800\text{ lb}
Cargo payload is calculated as Maximum Legal Gross Weight−Tare Weight=48,000 lb−18,200 lb=29,800 lb\text{Maximum Legal Gross Weight} - \text{Tare Weight} = 48,000\text{ lb} - 18,200\text{ lb} = 29,800\text{ lb}.

Key Concept

Allowable cargo payload is governed by the most restrictive ceiling among manufacturer ratings (GVWR and GAWR) and statutory limits (single and tandem axle federal caps).
Estimated Time:1m 30s
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