Necessary depth of delivery looping pit for Slitter line@@
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@At the end of slitter line, the slit strips are wound up by recoiler, where the edge strips are wound up into smaller diameter than the center strip, because edge strips are thinner than the center one. However all these slit strips are wound by the same single reel, edge strips are wound up slowly compared to the center strips resulting slackened edge strips.
The purpose of the delivery looping pit is to absorb the difference of the speed for each strips i.e. the slackened edge strips.

Difference of tail end length between center and edge strips after coil of W ton recoiled
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Coil weight W ton 18 18 18 18 18 18
Center hoop thickness tc mm 0.5 0.5 0.5 0.5 0.5 0.5
Strip width A mm 1,650 1,650 1,650 1,200 1,200 1,200
Total length L1 m 2,779 2,779 2,779 3,822 3,822 3,822
Thickness deviation at strip edge | |4 |6 |8 |4 |6 |8
Outer diameter of center hoop B1 mm 1,424 1,424 1,424 1,641 1,641 1,641
Number of layers T 916 916 916 1,133 1,133 1,133
Outer diameter of edge hoop B2 mm 1,417 1,413 1,410 1,632 1,627 1,623
Length of edge hoop at T L2 m 2,769 2,764 2,758 3,806 3,797 3,789
Required loop length L1-L2 m 10.5 15.8 21.1 16.1 24.2 32.2

Necessary looping pit size / calculation of catenary @D=y(b/2)-y(0)=a cosh(b/(2a)) -a
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Width of catenary b mm 5,080 5,080 5,080 5,080 5,080 5,080
Catenary shape constant a 1.14 0.88 0.77 0.87 0.72 0.65
Calculated length of catenary Lc m 10.5 15.8 21.1 16.1 24.2 32.2
Depth of catenary from passline D m 4.2 7.1 9.8 7.2 11.4 15.5
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