Saturday, 7 February 2015

KNITTING CALCULATIONS


Most suitable count for knitting machines


As a thumb rule knitting experts prefer to use such knitting machine whose gauges is near to count of yarn (English count) i.e. for 20-gauge machines most suitable yarn count is 20s. This rule is has certain limitations, like, for 28-gauge yarn of 26s to 30s is most suitable. But for very fine counts this rule is not applicable and also machines have maximum gauge 32. Normally fine counts are not used as such rather they are make double, like count 60s double, which means that net count is near to 30s. And this 60 double count is suitable for 30-gauge machine. 

To solve this problem some authors have suggested following formulas.

For single Knitting Machine


Suitable count = G*G/18

For Double knitting machine

Suitable count= G*G/8.4
Where G is gauge of knitting machine

Some knitting machine manufacturers suggest a range of yarn count for their machine.

There is another way to solve this problem and that is to take help from old record. Every firm is producing many types of fabrics and on the basis of experience they develop a database for ready reference.

One can get a ready reference from the table to produce fabric of certain grammage. We are also giving expected width of fabric after wet processing.

This table can provide just a reference. Knitters have to decide by themselves after doing a trial production, since there are many more factors, which can affect yarn and gauge selection process.

Knitting Machine Parameters

Every knitting machine is made to fulfil certain demands of the customer.

There are number of characteristics of machine which are intimated by the machine manufacturers while delivering the machine to customers/users.

It is helpful for the user to be well aware about these parameters. Furthermore machine specifications are given in different unit. We will explain these parameters and will also give the conversion factors to convert parameters from one system to other.

Machine Gauge


As per Oxford Dictionary the word “gauge” is a noun and as well as verb. It is used to measure level of any thing or for an instrument to measure width, length or height of any thing.

In knitting it is used to express the number of needle in a unit length of the needle bed. This needle bed may flat or circular.

In double knit circular machine it is used for cylinder and as well as dial. Generally gauge is defined as number of needles per inch.

According to German standard DIN 60917  (Iyer et al1995) alphabet  “E “ is used to denote knitting machine gauge.

E = Number of needles
      1 inch (25.4 mm)

Machine Pitch


As per German DIN 62125 (Iyer et al1995) the notation “gauge” is to be avoided in the future. Rather they prefer to use notation “pitch” for comparison purpose.

Machine Pitch means the distance between the centres of two neighbouring needles. It is denoted with small “t”. It is given in mm.
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   Knitting Machine Production calculation

Before explaining the method to calculate the nominal production capacity of the knitting machine it is imperative to be well aware of count and denier system and one should also be familiar with the conversion factors.

Yarn is sold and purchased in the form of cones and bags. Cones and bags have certain weights.

Still in the international market yarn is sold in pounds not in kilograms. Bags are of 100 pounds, which is equal to 45.3697 kgs.

Previously there were 40 cones in a bag but now there are bags available of 25 cones. In other words cones are of 2.5 pounds and four pounds.

Nominal Production of knitting machines


One very simple way to calculate knitting machine production by weighing the total production of one hour or one shift or one day.

The practical way calculating production of a machine is as follows. In this method following information for production calculation are required:

  • Machine Guage and Dia
  • RPM Knitting Machine
  • Yarn Count 
  • Stitch Length


From these figures we can calculate the length of yarn being used by the machine in one hour and then by converting this length into weight with the help of count given we can calculate the quantity of yarn being consumed by machine in one hour. This would be the optimum production of the machine. This optimum production can be converted into nominal production by multiplying it with efficiency.  In the following pages we will explain this with few examples.


In the following pages we will explain the method to calculate nominal production capacity of knitting machine. It is commonly believed that we can run knitting machine up to 85% efficiency. However, by creating most suitable environment one can increase machine efficiency.

 

For this we need following figures:
Machine speed RPM
Machine guage
Machine Dia
Count/ denier of yarn being used
Stitch length

From the above-mentioned figures we can calculate the length of yarn being used in one revolution and if we know the length and count of yarn then it is quite easy to calculate weight of yarn (see Example: 03 for more details)     



Example 01
Calculate nominal production of a single jersey-knitting machine per hour from the data given:
Machine Gauge                       24
Machine Dia                30 inches
Number of Feeders                 90
Machine RPM                         26
Yarn Count                                         24
Stitch length                                        4 mm  
Efficiency                                           85%
Solution:
Step one


First we will calculate number of needles and number of stitches produced in one revolution. This would help us in calculating the total length of yarn consumed in one revolution.

Number of needles = machine dia * gauge * p (3.14)
                                    = 30* 24*3.14
=2260 (exact 2260.8 but needles are always in even number
 so we will take nearest even figure)

Number of stitches produced in revolution
 Every needle is making one stitch on every feeder because machine is producing single jersey fabric (full knit fabric).

Number of stitches produced in one revolution = Number of needles * number of feeders  
  = 2260*90
 = 203400

This figure shows that machine is making 203400 stitches in one revolution.

Step Two


Length of stitch is 04 mm (stitch length is always calculated in metric system)
From this figure we can calculate yarn consumption in yards in one hour

Yarn Consumption (in yards) in one hour

= number of stitches * length of (mm) * RPM *60 (minutes)
                      1000(to convert mm into meters)

                                                                        =203400 * 4 * 26 * 60
                                                                                 1000
                                                                        = 1269216 meters or
                                                                        = 1388015 yards

Step Three 


In previous step we calculated quantity of yarn consumed in yards. We can easily calculate weight of this yarn while its count is known (see example 03).

Weight of cotton yarn = length of yarn
                                                                        Count * 840

                                    = 1388015
                                         840 * 24
                                    = 68.85 pounds or
                                    = 31.23 Kilo grams
Efficiency       85%     = 26.55 Kilo grams
Answer: this machine can produce 26.55 Kgs fabric in one hour at 85 % efficiency                       





Example 02

For Filament yarn, Calculate nominal production of a single jersey-knitting machine per hour from the data given:
Machine Gauge                       28
Machine Dia                26 inches
Number of Feeders                 120
Machine RPM                         30
Yarn Denier                                        75
Stitch length                                        4.5 mm           
Efficiency                                           85%
Solution:
Step one
First we will calculate number of needles and number of stitches produced in one revolution. This would help us in calculating the total length of yarn consumed in one revolution.

Number of needles = machine dia * gauge * p (3.14)
                                    = 26* 28*3.14
=2286 (exact 2285.92 but needles are always in even      number so we will take nearest even figure)

Number of stitches produced in revolution
 Every needle is making one stitch on every feeder because machine is producing single jersey fabric (full knit fabric).

Number of stitches produced in one revolution = Number of needles * number of feeders  
  = 2286*120
 = 274320

This figure shows that machine is making 274320 stitches in one evolution.

Step Two


Length of stitch is 04.5 mm (stitch length is always calculated in metric system)
From this figure we can calculate yarn consumption in yards in one hour

Yarn Consumption (in yards) in one hour

= number of stitches * length of (mm) * RPM *60 (minutes)
                      1000(to convert mm into meters)

                                                                        =274320 * 4.5 * 30 * 60
                                                                                 1000
                                                                        = 2221992 meters                                                                  

Step Three 


In previous step we calculated quantity of yarn consumed in yards. We can easily calculate weight of this yarn while its count/denier is known (see example 05).

Weight of filament in grams = Length in meters * denier                                                                                                                                                                  9000


                                                                        = 2221992*75
                                                                              9000
            Answer                                                =18516 grams or
                                    =18.516 Kgs                          

Efficiency       85%                             = 18.516*85%
                                                                                    =15.74 Kgs
                                                             
Answer: this machine can produce 15.74 Kgs fabric in one hour at 85 % efficiency                       

Note: if we are producing any textured fabric, like fleece, then we use two different yarns at different feeders and ultimately stitch length is also different. In such case we should calculate separately consumption of different yarn at different feeders. Following example will help in calculating production in case of use of more than one kind yarn.

Example 9

Calculate nominal production of a fleece-knitting machine per hour from the data given:
Machine Gauge                              18
Machine Dia                            30 inches
Number of Feeders     for          60
Front yarn      

Number of feeders                         30
For loop yarn

Machine RPM                               28
Yarn Count                                          26s for front
Yarn count for loop                     16s
Stitch length of                                   4.5 mm
front yarn       
Stitch length of                                       2.5 mm
Loop yarn       
Efficiency                                           85%
Solution:
Step one
First we will calculate number of needles and number of stitches produced in one revolution. This would help us in calculating the total length of yarn consumed in one revolution.

Number of needles = machine dia * gauge * p (3.14)
                                    = 30* 18*3.14
=1696 (exact 1695 but needles are always in even number
 so we will take nearest even figure)

In this example we will calculate consumption of yarn in Kgs of both yarns and then we will add them to get final production per hour

Consumption of yarn for front knitting, Every needle is making one stitch on every feeder because machine is producing single jersey fabric (front of fleece).

Number of stitches produced in one revolution = Number of needles * number of feeders                                                                = 1696*60
            = 101760
This figure shows that machine is making 101760 stitches in one revolution.

Step Two

Length of stitch is 04.5 mm (stitch length is always calculated in metric system)
From this figure we can calculate yarn consumption in yards in one hour

Yarn Consumption (in yards) in one hour

=                                  number of stitches * length of (mm) * RPM *60 (minutes)
                                                             1000(to convert mm into meters)

                                                                        =101760 * 4.5 * 28 * 60
                                                                                 1000
                                                                        = 769305 meters or
                                                                        = 841312 yards

Step Three 


In previous step we calculated quantity of yarn consumed in yards. We can easily calculate weight of this yarn while its count is known (see example 03).

Weight of cotton yarn = length of yarn
                                                                        Count * 840

                                                            =   841312
                                                                 840 * 30
                                                            = 38.52 pounds or
                                                            = 17.43 Kilo grams
Efficiency       85%     = 14.85 Kilo grams

Answer: this machine will consume 14.85 Kgs of yarn to knit front of the fleece fabric in one hour at 85 % efficiency

Step Four

Yarn consumed for loop knitting (back of the fabric)

Every needle is making one stitch on every feeder because machine is producing single jersey fabric (front of fleece).

Number of stitches produced in one revolution = Number of needles * number of feeders  
                                                                                    = 1696*30
            = 50880
This figure shows that machine is making 50880 stitches in one revolution.

Note: that we have put 30 cones of course count for loops after every two feeders.

Step Five


Length of stitch is 2.5 mm (stitch length is always calculated in metric system)
From this figure we can calculate yarn consumption in yards in one hour

Yarn Consumption (in yards) in one hour

= number of stitches * length of (mm) * RPM *60 (minutes)
                                            1000(to convert mm into meters)

                                                                        =50880 * 2.5 * 28 * 60
                                                                                 1000
                                                                        = 213696 meters or
                                                                        = 233696 yards

Step Six


In previous step we calculated quantity of yarn consumed in yards. We can easily calculate weight of this yarn while its count is known (see example 03).

Weight of cotton yarn = length of yarn
                                                              Count * 840

                                                            =   233696
                                                                840 * 16
                                                            = 17.39 pounds or
                                                            = 7.89 Kilo grams
Efficiency       85%     = 6.70 Kilo grams

Step Seven


Now we can add both yarn consumed
Yarn for front             14.85
Yarn for back             6.70
 Total                                       21.55

This machine can produce 21.55 Kgs fabric in one hour at 85% efficiency

All above discussion to elaborate the way to calculate the optimum production of a knitting machine. The following formula is useful in every situation to calculate the optimum production capacity of a knitting machine at 85% efficiency.

For cotton count

Production in one hour           =

Gauge * Dia * 3.14 * RPM *60 * Stitch length (mm)  *1.0936 * 1 * 85

                                                            1000 *840 * yarn count * 100


Grammage Expressions


Generally grammage is expressed in Grams per Meter Square (GSM) but in certain cases it is also expressed Ounces per Yard Square (OSY). People, particularly working in marketing and merchandising departments face problems in converting GSM into OSY. We will explain this conversion method with examples before that it is imperative to know the standard conversion factors of different measuring units. A complete conversion chart is given at the end of the book. One should be much familiar with these conversion factors.

Conversion of GSM (grams per square meter) into OSY (ounces per square yard)

 250 GSM means that weight of one meter square fabric is 250 grams and 10 OSY means weight on one yard squares is 10 ounces.  In the following lines we will explain the method of conversion from GSM to OSY and vice versa with the help of examples.

 

Example 10 


Convert 10 OSY (ounces per square yard) into GSM (grams per square meter).

It means weight of one yard square is 10 ounces or

Weight of one square yard is 280 grams (one ounce is equal to 28 grams) or

Weight of one 0.836 meter square (one yard square is 0.836 meter square) is 280 grams or

Weight of one meter square =  280* 1
                                                                     0.836
                                   
                        Answer = 344.9 grams per meter square

 

Example 11 


Convert 250 GSM (grams per square meter) into OSY (ounces per square yard)

It means weight of one meter square is 250grams or

Weight of one square meter is 8.93 ounces (28 grams are equal to one ounce) or

Weight of 1.196 yard square (one meter square is equal to 1.196 yard square) is 8.93 or

Weight of one yard square =  8.93* 1
                                                                 1.196
                                   
                        Answer = 7.47 ounces per yard square


Relation between length, width and grammage


It was observed during interaction with the people working in garment business that they face difficulties in calculation related to grammage, width and length of the fabric. In the following lines we will explain relationship among these factors with examples.

Example 10

 Calculate weight of fabric from the given data.

Grammage                               300 GSM
Width of fabric           35 inches (in tubular form)
Length of fabric                      20 meters

First we will calculate area of the fabric

Area of fabric = Fabric length * fabric width

                          =           20 * 35*2 (since fabric is in tubular)
                                        39.37 (one meter is equal to 39.37 inches)

                        = 35.6 meter square

Weight of one meter square is            = 300 (GSM)
And weight of 35.6 meter square = 300*35.6
                                                            = 10680 grams or 10.680 Kgs
           

Example 13


Calculate GSM from the data given

Total Weight of fabric                        = 15.5 Kgs
Length of fabric                                  = 35 meters
Width of fabric in open form        = 65 inches


Solution:

First we will calculate area of the fabric

Fabric length   = 35 meters
Fabric width                = 65 inches or 1.65 meters
Fabric area                   = Length * width
                                    =35 * 1.65
                                    =57.75 meters square

Weight of 57.75  Meter square is 15.5 kgs or 15500 grams
 So weight of one square meter          = 15500/57075

= 268.39 grams per meter square of GSM of
the fabric  

 Calculation of different fibre percentage in knitted fabric

Normally fabrics are knitted with one kind of yarn but in some cases more than one type of yarn of different counts and combination (mixing of two different fibres) are used. One very common example is knitting of fleece fabric, which is knitted by using fine and course yarns, and one yarn is made of polyester and cotton. Another example is knitting of fabric by using spandex filament and cotton or pure polyester.  In such condition there is a requirement to mention exact percentage of different fibres in the fabric. Supplier has to mention this ratio on label. In the following lines we discuss the methods to calculate such percentage with the help of examples.

Example

Find exact composition of different fibres in fleece fabric from the following data:
Yarn count front                                        30s 100 cotton
Yarn count for loop                            20s 50:50 P/C
Consumption ratio                              Front: loop 2:1 (by weight)

Suppose for front we need 2Kg yarn and for loop we will be requiring 1 Kg yarn

Front yarn          2 KGS                                  100 % cotton            Cotton 2000 grams

Loop yarn            1 Kg                                              50:50 P/C                         Cotton 500 grams and
   Polyester
     500 grams
 Exact Ratio

Cotton total     2.5 Kgs
Polyester          0.5 Kgs

Ratio:
Cotton:                        83.33%

Polyester :     16.66

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