## Mix loading

In the majority of scenarios, it is imperative to load a combination of tires of varying sizes into a 40HQ container.

Basically, there are two situations.

## 1. Mix loading different sizes into a container/ containers

Generally speaking, mix loading tires of different sizes is so common. Here is a question: 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.

If you don’t know anything about it, please click here How many tires can fit into a sea container?

Now let’s start our study journey of today!

**STEP 1: Find the volume coefficient per tire**

**STEP 1: 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

**STEP 2: 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

STEP 3: 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)

On the situation that the final total volume coefficient is close to 1, you could adjust the quantity of each size according to your demands.

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

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.

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

## 2. 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!

**Step 1: Understand the volume of a 1*40HC container**

Please take a look at 40HQ container’s internal dimensions as below image shows

**Step 2: Decide how to place parts in container, then calculate ****the actual**** space occupied**** by tire**

**Step 2: Decide how to place parts in container, then calculate**

**the actual**

**space occupied**

**by tire**

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

To make it more intuitive, the color green will mark available space for the tires

Obviously, 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.

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

Dimension not available for tires = 0.7*2.55*2.695=4.81575

#### Step 3: Calculate the space where the tires can be placed

##### Formula: **Tyre space = total container volume – dimension not available for tires**

Bring the data in and you get

Space available for tires = 12.031*2.348*2.695-4.81575=76.13-4.82=71.31

#### Step 4: 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

** **

**Step5: Calculate the number of tires using the total tire volume coefficient**

**Step5: 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:

##### 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

## 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.