# Textile Calculation

## Calculation of Secondary Motions of Loom

Calculation of Secondary Motions of Loom
Raju Tex
Production Executive,
B.J.Group, Mawna, Gazipur
Chittagong Textile Engineering College

Secondary motions of loom
The secondary motions of the loom mainly are concerned with moving the fabric through the different parts of the loom. It comprises of take up and let off motions. The take up motion helps to wind the cloth on to the cloth roller and also influences the pick density in the cloth. The let off motion helps to let the warp from the weaver’s beam at an uniform rate thus maintaining the warp tension constant throughout the weaving process. In this article we will discuss about problems and solutions of secondary loom motion.
 Secondary motions of the loom
Mathematical Problems of Secondary Motions:

Problem-1:
A loom is running with negative let of motions. The full and empty diameters of weavers beam is 60 cm and 20 cm respectively. The weaver does not want tension variation to exceed by 20% during the weaving. How many times the weight has to be shifted during the weaving?

Solution:

We know that,

Here full beam diameter= R1 = 60 cm and empty beam diameter R2 = 20 cm. Let the final tension in the warp is Tf and starting tension in the warp is T1. Tension in the warp varies inversely with the weaver’s beam diameter.

Permissible increase in tension is 20%.

Diameters at which the weight has to be shifted to bring down the tension to T1 are as follows.

So, the weight has to be shifted six times. The last one may be avoided as the beam has become empty (20 cm). (ANS)

Problem-2:
A simple weight lever based let-off system is attached at each end of a warper’s beam. It is provided with weights of 400 N at each side. The leverage of the system (y/x ratio) is 5:1. The full beam radius is 50 cm and the ruffle radius is 10 cm. If the ropes are given 1.5 warps around the ruffles and the coefficient of friction is 0.20, determine the warp tension at the slipping point.

Solution:

We know that

Considering two sides of the loom the warp tension will be = 399.2 × 2 = 678.4 N

So, the warp tension at the slipping point is 678.4 N. (ANS)

Problem-3:
A 75 Stockport reed (number of dents / 2 inch) of 1.4 m width is being used on a loom. The reed plan is two ends in a dent. If the weft crimp is 6% then calculate the ends per cm in the fabric on cloth roller.

Solution:

We know that

So, ends per cm is 31.3 (ANS)