Production Calculation of Ring Frame

Ring Frame:
A ring spinning machine or ring frame is used to produce the required count of yarn from the supplied roving by the drafting. To insert a sufficient amount of twist to the yarn. To wind the yarn onto the bobbin. To build the yarn package properly. In this article, we will discuss the production calculation of the ring frame.

Formula of Ring Frame Production:

…………………………………………………….Spindle Speed x 60 x 24 x Total no of Spindles
1. Ring Frame (100% Production) = ………………………………………………………………………
………………………………………………………………..Count x TPI x 840 x 36 x 2.2046

2. Ring Frame (Actual Production) = 100% Production x Required Efficiency

……………………………………………………Actual Production
3. Ring Frame (Required Input) = ………………..……………….
………………………………………………….(100 – std waste)/100

4. Required TCP X Required TPI = Existing TCP X Existing TPI

5. TPI Calculation : TPI = TM √(Count) (TM= Twist Multifyer)

6. Traveler speed = spindle speed – winding speed

7. Winding speed = front roll delivery(inches per min)/bobbin circumference

8. Traveler angle = bare bobbin dia/full bobbin dia

Ring Frame Production Calculation:

a. In a ring frame 30 Ne carded yarn is to be spun in which spindle speed is 17000 r.p.m and there are 504 working spindles. If the machine runs at 9% efficiency and the twist multiplier is 4.6. Find out its production in-lbs/ shift.

Solution:

Given that,
No of working spindle = 504
Spindle speed 17000 r.p.m
Efficiency = 95%
Time of production = 8 hrs
Yarn count = 30
T.M = 4.6

We know that,
T.P.I = T.M X √(Count)
= 4.6 X √(30)
= 25.195

…………………………………..Spindle r.p.m X 60 X 8 X No of spindle
Production per Shift = …………………………………………………………….. X Efficiency
……………………………………………..T.P.I X 36 X 840 X Count

………..17000 X 60 X 8 X 504……………95
= …………………………………………….  X ………
………..25.195 X 36 X 840 X 30…………100

= 170.93 lbs (Ans)

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B. Find out the required T.C.P to produce 49 Ne carded woven yarn when twist multiplier is 4.6, existing T.C.P is 48T, and existing T.P.I is 21.7

Solution:

Given that,
Existing T.C.P = 48T
Existing T.P.I = 21.7
T.M = 4.6

Produced yarn count = 40 Ne
Required T.P.I = ?
We know that,

Required TCP X Required TPI = Existing TCP X Existing TPI    …………(1)

Again, we know,
Required T.P.I = T.M X √(Count)
= 4.6 X √(40)
= 29

From equation (1) we get,

Required T.C.P X 29 = 48 X 21.7

………………………….48X 21.7
Required T.C.P = ………………
……………………………….29
= 35.8
= 36 T (Ans)

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