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  • Mixed Tire Loading

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Mix Loading Different Sizes into Containers

Generally speaking, mix loading tires of different sizes is so common. How many tires of each size I would load to maximize the use of the limited container space in this case? Follow me step by step and we will know the answer! First of all, it is important to know how many tires can fit in a certain size into each 40HQ. Now let’s start our study journey of today!

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Mix Loading Different Sizes into Containers

  • STEP 1
  • STEP 2
  • STEP 3
  • Find The Volume Coefficient Per Tire After knowing the quantity/40HQ of each wanted size, we can calculate the volume coefficient per tire easily with a formula.

    Single tire volume coefficient = 1 / loading quantity per 40HQ of this Size

    For example, 1*40HQ can load 280pcs of 11R22.5 truck tire. Then the volume factor of a single tire for this tire is:
    1/280=0.00357
  • Find The Volume Coefficient Per Size Here is a formula:

    The volume coefficient of the single tire of this Size * the corresponding quantity = the volume coefficient of the Size

    For example, when the number of 11R22.5 is 100, we can derive:
    0.00357*100=0.357
  • sum up all volume coefficients of each size We sum up all volume coefficients of each size, and when the result is less than and close to 1, we will get the quantity of tires of a 40HQ container. Formula stands below

    Size A volume coefficient * Size A quantity + Size B volume coefficient * Size B quantity + …=1

    For example:When we mix 11R22.5 and 385/65R22.5 into a 40HQ, how do we calculate the quantity of each size?
    Similarly, according to the above calculation formula, the volume coefficient of 385/65R22.5 is about 0.00513 (1/195~=0.00513)

Calculate Tire Standards For
Large Size Differences

View Related Formula Videos
Calculate Size

This formula is also suitable for calculating the packing volume of tires with large size differences (larger tires mixed with smaller tires).

Size Quantity Volume Coefficient
Per Tire		 Volume Coeflicient
* Quantity		 olume Coeflicient
For Each Size
11R22.5 132 0.00357 0.00357*132 0.47124
385/65R22.5 100 0.00513 0.00513*100 0.513
Total Volume Coe Ficient 0.98424


It is worth noting that when the result is close to 0.43, these tires can be loaded into a 1*20GP.

So, when the result is close to X.43 (e.g. 1.43, 2.43, 3.43…), 20GP container can be used to load tires.

For example, when the sum result is 5.43, these tires need totally 6 containers, 5*40HQ+1*20GP.

Quantity Formula For Multiple Containers

  • Multiple Container Formula
    If you need to calculate the quantity of more than one container, this formula also applies

    Size A volume coefficient * Size A quantity + Size B volume coefficient * Size B quantity + … = Container quantity

    (PS: If there is a decimal in the obtained result, the result will be calculated as +1 after removing the decimal.) For example, when the result is 1.23 + 2.15 + 0.42 = 3.8, remove 0.8 and change 3 + 1 = 4. “4” means that 4 containers are needed.
  • Notes On Calculation Formulas

    It is worth noting that when the result is close to 0.43, these tires can be loaded into a 1*20GP.

    So, when the result is close to X.43 (e.g. 1.43, 2.43, 3.43…), 20GP container can be used to load tires.

    For example, when the sum result is 5.43, these tires need totally 6 containers, 5*40HQ+1*20GP.

TNR Tire Mix Loading Cases

Mix Loading Of Tires And
Other Parts

When we mix tires with other machines, can we just use this formula to calculate? The answer is no. So how do we calculate it.

Let’s do the math step by step!

Understand The Volume Of A
1*40HC Container

40 ft High cube Container
Dimensions External 12.192X2.438x2.896 M
40x8X9.5 FT
Internal 12.031X2.348X2.695 M
Door Opening(W*H) 2.336x2.585 M
Inside Cubic Capacity 76 CBM
Maximum Gross Weight 30,480 KG
Tare Weight 3,990 KG
Maximum Payload 26,490 KG

Decide How To Place Parts In Container, Then Calculate

It is crucial to consider the actual volume occupied by the product instead of the volume of the product itself.

For example, there are 9 wooden boxes of 0.7m*1m*0.85m (product description: lamps), which will be loaded with tires. As you can see, there are two ways to place these wooden boxes

How To Place Wooden Boxes

To make it more intuitive, the color green will mark available space for the tires, the second way to load the tires should be taken, as taking the second way reduces the wasted space. Besides,we also need to take into account that lamps are fragile and should not be placed on tires.

now it’s easy to calculate dimension not available for tires.

  • Calculate The Space Where The Tires Can Be Placed
    Bring the data in and you get

    Tyre space = total container volume – dimension not available for tires

    Space available for tires =
    12.031*2.348*2.695-4.81575=76.13-4.82=71.31
  • Calculate the sum of the volume coefficients of the tire
    The sum of the size volume coefficient is the proportion of space available for tires to the entire internal volume of the container. Based on this relationship, we can derive the formula:

    Space available for tires / Container volume = available volume coefficient

    Bringing in the data, we get
    71.31/76.13=0.937 This result is the sum of the volume coefficients of the tires

Calculate The Number Of Tires
Using The Total Tire Volume
Coefficient

After knowing the total volume factor of the tire, we can get the following formula:

Tire usable volume coefficient = Size A volume coefficient * Size A quantity + Size B volume coefficient * Size B quantity +… Size F volume coefficient * Size F quantity

For exmaple, mix with 11R22.5 and 315/80R22.5
Size Volume Coefficient
Per Tire		 Volume Coeflicient
* Quantity		 Quantity Volume Coeflicient
For Each Size
11R22.5 0.00357 0.00357*132 50 0.285
385/65R22.5 0.00513 0.00513*100 126 0.513
Total Volume Coe Ficient 176 0.64638

Real Cases For Mixing Tires With Parts

Depending on different occasions, there will be some discrepancies between the theoretical results and the actual quantity.

If you need to adjust quantity to balance your container, you could contact us. TNR , as a team well experienced in mix loading, will provide you a perfect solution.