**Emdadul Haq**

Lecturer, Department of Textile Engineering, Primeasia University; Bangladesh

**Construction of Tappet Shedding Cam for Plain weave (1/1) using the following parameters:**

1. Weave design of the fabric: Plain (1/1)

2. The minimum distance between Cam and Follower or Treadle bowl centre = 3 inch

3. The diameter of Follower or Treadle bowl = 2 inch

4. Lift of the Tappet = 5 inch

5. Dwell Period = 1/3 of a pick

6. Movement pattern during rising and fall: Simple Harmonic Motion (SHM)

**Calculation:**

Formula Number: (1/1) Plain

Repeat Size: 2 x 2 That means, the 360° rotation of the bottom shaft, two picks are inserted; i.e.-Degree/ two Pick = 360°

Degree/ Pick = (360°)/2=180°

Dwell Period/ Pick = 1/3 x 180°=60°

So, Dwell-1/ Pick = 60° [After the formation of the first shed, one pick inserted according to weave design]

Dwell-2/ Pick = 60° [Then the formation of the second shed, also one pick inserted according to weave design]

Total Dwell Period = 60°+60° = 120°

Total Working = 360° – 120° = 240°

Working-1 = 120°

Working-2 = 120°

0° – 120° = Working-1 (Rise)

120° – 180° = Dwell-1 (Heald Lowered)

180° – 300° = Working-2 (Fall)

240° – 360° = Dwell-2 ( Heald Raised)

**Steps for drawing a Tappet Shedding Cam for Plain weave:**

1. Drawing a circle having its centre O and radius, OA = Minimum distance between Cam and Follower/ Treadle bowl centre = 3 inch

2. Then draw two another circle with radius,

OB = OA + Radius of Follower/ Treadle bowl = 3 + 1 = 4 inch

OC = OB + Lift of the Tappet = 4 + 5 = 9 inch

3. Now, divide the circle into four segments of 120°, 60°, 120° and 60° for Working-1, Dwell-1, Working-2 and Dwell-2 respectively.

4. Then, divide ∠COD into six equal parts by the radius of OP1, OQ1, OR1, OS1 and OT1. Similarly divide ∠EOF into six equal parts by the radius of OP2, OQ2, OR2, OS2, and OT2.

5. Draw a semi-circular on BC having its centre M and divide this semi-circle into six equal segments in which each segment is 30°.

i.e. ∠BMM1 = ∠M1MM2 = ∠M2MM3 = ∠M3MM4 = ∠M4MM5 = ∠M5MC = 30°

6. Draw a perpendicular on the diameter of BC from the points of M1, M2, M3, M4, and M5.

7. Take OM1', OM2', OM, OM4' and OM5' as a radius and draw arcs which cut the radii OT1 & OT2 at 2, OS1 & OS2 at 3, OR1 & OR2 at 4, OQ1 & OQ2 at 5 and OP1 & OP2 at 6 respectively.

8. Draw circles having a radius of AB = 1 inch which representing the follower/ treadle bowl at the centre of 1, 2, 3, 4, 5, 6 and 7 (Total 14 centres).

9. Join the inner surface of these 14 circles with a smooth curved line to get the Tappet Shedding Cam.

**We can easily draw any Tappet Shedding Cam by following this calculation:**

**ðŸ‘‰1. (2/1) Plain:**

Repeat Size: 3 x 3; that means, the 360° rotation of the bottom shaft, three picks are inserted; i.e.-

Degree/ three Pick = 360°

Degree/ Pick = (360°)/3=120°

Dwell Period/ Pick = 1/3 x 120°=40° [Dwell Period =1/3 of a pick]

So, Dwell-1/ Two Pick = 120°+40°=160°

[After formation of first shed, two pick are inserted according to weave design]

Dwell-2/ Pick = 40°

[Then formation of second shed, one pick inserted according to weave design]

Total Dwell Period = 160° + 40° = 200°

Total Working = 360° – 200° = 160°

Working-1 = 80°

Working-2 = 80°

**ðŸ‘‰2. (2/2) Twill:**

Repeat Size: 4 x 4

That means, the 360° rotation of the bottom shaft, four picks are inserted; i.e.-

Degree/ four Pick = 360°

Degree/ Pick = (360°)/4= 90°

Dwell Period/ Pick = 1/3 x 90°=30° [Dwell Period =1/3 of a pick]

So, Dwell-1/ Two Pick = 90°+30°=120°

[After formation of first shed, two picks are inserted according to weave design]

Dwell-2/ Two Pick = 90°+30°=120°

[Then formation of second shed, also two picks inserted according to weave design]

Total Dwell Period = 120° + 120° = 240°

Total Working = 360° – 240° = 120°

Working-1 = 60°

Working-2 = 60°

**ðŸ‘‰3. (3/2) Twill:**

Repeat Size: 5 x 5

That means, the 360° rotation of the bottom shaft, five picks are inserted; i.e.-

Degree/ five Pick = 360°

Degree/ Pick = (360°)/5= 72°

Dwell Period/ Pick = 1/3 x 72°=24° [Dwell Period =1/3 of a pick]

So, Dwell-1/ Three Pick = 72°+72°+24°=168°

[After formation of first shed, three picks are inserted according to weave design]

Dwell-2/ Two Pick = 72°+24°=96°

[Then formation of second shed, two picks are inserted according to weave design]

Total Dwell Period = 168° + 96° = 264°

Total Working = 360° – 264° = 96°

Working-1 = 48°

Working-2 = 48°

Now, we can easily draw the tappet shedding cam above three weave design by using necessary parameters and calculated data of Working-1, Dwell-1, Working-2 and Dwell-2 as following the “steps for drawing a Tappet Shedding Cam for Plain weave”.

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