Calculation of the weight of loads on vehicles

Understanding the Critical Process of Calculating Vehicle Load Weights

Calculating the weight of loads on vehicles ensures safety, compliance, and optimal performance. This process involves precise measurement and analysis of various load factors.

In this article, you will find detailed formulas, extensive tables, and real-world examples to master load weight calculations on vehicles.

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  • Calculate the total load weight for a truck carrying 15 pallets, each weighing 500 kg.
  • Determine axle load distribution for a vehicle with a 10,000 kg gross weight and 3 axles.
  • Compute the maximum allowable payload for a vehicle with a curb weight of 7,000 kg and a gross vehicle weight rating (GVWR) of 12,000 kg.
  • Estimate the impact of uneven load distribution on tire pressure requirements for a 20-ton truck.

Comprehensive Tables of Common Load Weight Values on Vehicles

Vehicle TypeTypical Curb Weight (kg)Gross Vehicle Weight Rating (GVWR) (kg)Maximum Payload (kg)Number of AxlesTypical Axle Load Limit (kg)
Light Duty Truck3,0006,0003,00023,000
Medium Duty Truck7,00012,0005,0002-34,000
Heavy Duty Truck (Semi-Trailer)8,50036,00027,50057,200
Bus (City Transit)9,00018,0009,0002-36,000
Pickup Truck2,0003,5001,50021,750
Van (Cargo)3,5005,5002,00022,750
Flatbed Truck6,00015,0009,00035,000
Dump Truck10,00025,00015,0003-46,250
Trailer (Empty)4,00020,00016,0002-36,700
Refrigerated Truck7,50018,00010,50036,000

Essential Formulas for Calculating Vehicle Load Weights

Accurate calculation of load weights on vehicles requires understanding and applying several fundamental formulas. These formulas help determine total load, axle loads, payload capacity, and load distribution.

Total Load Weight Calculation

The total load weight on a vehicle is the sum of the vehicle’s curb weight and the payload weight.

Total Load Weight (Wtotal) = Curb Weight (Wcurb) + Payload Weight (Wpayload)
  • Wtotal: Total weight of the loaded vehicle (kg)
  • Wcurb: Weight of the empty vehicle without load (kg)
  • Wpayload: Weight of the cargo/load (kg)

Typical values:

  • Curb weight varies by vehicle type, e.g., 3,000 kg for light trucks, 8,500 kg for heavy trucks.
  • Payload weight depends on cargo but must not exceed GVWR minus curb weight.

Gross Vehicle Weight Rating (GVWR) Compliance

GVWR is the maximum allowable total weight of a vehicle including its own weight and payload. Ensuring compliance is critical for safety and legal operation.

Wtotal ≤ GVWR
  • GVWR: Manufacturer-specified maximum weight (kg)

Axle Load Calculation

Axle load is the weight supported by each axle. Proper axle load distribution prevents overloading and damage.

Axle Load (Waxle) = (Load on Axle) = Portion of Wtotal supported by that axle (kg)

For evenly distributed loads:

Waxle = Wtotal / Number of Axles (n)
  • Waxle: Load on a single axle (kg)
  • n: Number of axles

In practice, load distribution is often uneven due to cargo placement, requiring detailed analysis.

Payload Capacity Calculation

Payload capacity is the maximum load a vehicle can carry without exceeding GVWR.

Payload Capacity (Wpayload_max) = GVWR – Wcurb
  • Wpayload_max: Maximum allowable payload (kg)

Load Distribution Factor

Load distribution factor (LDF) quantifies how load is shared between axles, important for multi-axle vehicles.

LDF = Waxle_i / Wtotal
  • Waxle_i: Load on axle i (kg)
  • Wtotal: Total vehicle weight (kg)

Typical LDF values vary depending on vehicle design and cargo placement.

Detailed Real-World Examples of Vehicle Load Weight Calculations

Example 1: Calculating Load Weight and Axle Distribution for a Medium Duty Truck

A medium duty truck has a curb weight of 7,000 kg and a GVWR of 12,000 kg. It carries a payload of 4,000 kg distributed unevenly between two axles. The front axle supports 40% of the payload, and the rear axle supports 60%. Calculate the total vehicle weight and axle loads.

  • Step 1: Calculate total load weight.
Wtotal = Wcurb + Wpayload = 7,000 + 4,000 = 11,000 kg
  • Step 2: Calculate payload on each axle.
Payload front axle = 0.40 × 4,000 = 1,600 kg
Payload rear axle = 0.60 × 4,000 = 2,400 kg
  • Step 3: Calculate total load on each axle (curb weight distribution assumed 50/50).
Curb weight per axle = 7,000 / 2 = 3,500 kg
Total front axle load = 3,500 + 1,600 = 5,100 kg
Total rear axle load = 3,500 + 2,400 = 5,900 kg
  • Step 4: Verify axle load limits (assume 6,000 kg per axle).

Both axles are within the 6,000 kg limit, so the load distribution is acceptable.

Example 2: Determining Maximum Payload for a Heavy Duty Semi-Trailer Truck

A heavy duty semi-trailer truck has a curb weight of 8,500 kg and a GVWR of 36,000 kg. The truck has 5 axles with a maximum axle load limit of 7,200 kg each. Calculate the maximum payload and verify if the payload can be evenly distributed without exceeding axle limits.

  • Step 1: Calculate maximum payload.
Wpayload_max = GVWR – Wcurb = 36,000 – 8,500 = 27,500 kg
  • Step 2: Calculate total load weight.
Wtotal = 8,500 + 27,500 = 36,000 kg
  • Step 3: Calculate load per axle assuming even distribution.
Waxle = Wtotal / 5 = 36,000 / 5 = 7,200 kg
  • Step 4: Compare with axle load limit.

The load per axle exactly matches the maximum axle load limit of 7,200 kg, indicating the payload can be safely carried if evenly distributed.

Additional Considerations and Best Practices in Load Weight Calculations

Beyond basic calculations, several factors influence the accuracy and safety of load weight assessments on vehicles:

  • Dynamic Load Effects: Loads shift during acceleration, braking, and cornering, affecting axle loads.
  • Load Securing: Properly securing cargo prevents load shifts that can cause uneven axle loading.
  • Tire Pressure and Load Ratings: Tires must be rated for the axle loads and maintained at correct pressures.
  • Legal Regulations: Compliance with local and international weight limits and axle load restrictions is mandatory.
  • Weight Distribution Optimization: Strategic cargo placement improves vehicle stability and reduces wear.

For authoritative guidelines, consult resources such as the Federal Motor Carrier Safety Administration (FMCSA) and the European Union’s Directive 96/53/EC on vehicle weights and dimensions.

Summary of Key Variables and Their Typical Ranges

VariableDescriptionTypical RangeUnits
WcurbVehicle curb weight (empty vehicle)2,000 – 10,000kg
WpayloadWeight of cargo/load0 – 30,000+kg
GVWRGross Vehicle Weight Rating3,500 – 40,000+kg
WaxleLoad on individual axle1,500 – 7,500kg
nNumber of axles2 – 6count
LDFLoad Distribution Factor0.1 – 0.6unitless

Mastering the calculation of load weights on vehicles is essential for engineers, fleet managers, and logistics professionals. Applying these formulas, tables, and best practices ensures operational safety, regulatory compliance, and vehicle longevity.