Card Production Rate, Total Draft & Flat Waste

The formula

This is the expression the tool evaluates. Every term is named underneath, with the unit it must be supplied in.

How the result is derived

Step by step, from the values you type to the figure on screen.

1. The 9 inputs are read from the form on every keystroke: Delivery Speed, Sliver Linear Density, Feed Lap / Chute Linear Density, Machine Efficiency, Cylinder Diameter, Cylinder Speed, Flat Strips, Licker-in Droppings and Shift Length.
2. Each value is checked against the accepted range in the input table below. A value outside its range stops the calculation rather than producing a misleading figure — the results blank out and a message appears.
3. The validated values are substituted into the expression above, which resolves Gross Production together with every supporting figure in one pass — no value is carried over from a previous entry.
4. The supporting outputs — Total Draft (Lap to Sliver), Net Production After Waste, Net Output per Shift, Cylinder Surface Speed, Cylinder Surface per Metre Delivered and Total Card Waste — come from the same pass, so they always describe the same case as the headline figure.
5. Results are rounded for display only. The full-precision value is used throughout the chain, so reading a rounded intermediate figure back into the tool by hand can shift the last digit.

What each input means

Where to read each value on the floor, the unit it must be in, and the range the tool accepts.

What the tool returns

The headline figure and every supporting value it is built from.

Worked example

The tool loads with this case already solved — the Gross Production shown above is its answer. Change one value and the difference from this baseline is the sensitivity of the result to that variable.

How to use it

1. Work through the input groups in order — Delivery and Cylinder & Waste. The defaults are a realistic case, so you can change one value at a time and watch what moves.
2. There is no calculate button. Every figure recalculates as you type or drag, which is what makes this usable for a what-if sweep rather than a single answer.
3. Read Gross Production in the dark results panel — that is the headline figure, expressed in kg/h.
4. Check the supporting rows underneath (Total Draft (Lap to Sliver), Net Production After Waste, Net Output per Shift, Cylinder Surface Speed, Cylinder Surface per Metre Delivered and Total Card Waste) before acting on the headline — they are where an implausible input usually shows itself first.
5. Reset to defaults returns every field to the reference case, which is the quickest way to check whether a surprising result came from the tool or from an input you had changed earlier.

Where this is used

• Process planning — establishing Gross Production before a trial is booked, so machine time and material in Blowroom, Carding, Drawing & Roving Control are committed against a calculated figure rather than an estimate.
• Costing and quotation — Gross Production is an input to the cost sheet, and quoting from a worked number rather than a remembered one is what keeps a margin intact.
• Troubleshooting — when the floor result drifts from plan, entering the measured values (starting with Delivery Speed) shows how much of the gap in Gross Production each variable explains.
• Teaching and study — the accepted ranges bracket normal Blowroom, Carding, Drawing & Roving Control practice, so moving one variable at a time shows the shape of the relationship rather than a single answer.

Assumptions and limits

• The carding ratio here is cylinder surface travelled per metre of sliver delivered — a proxy for how much wire action each length of fibre receives, and the figure that actually falls when production is pushed. It is a ratio, not an absolute: comparing it between cards is only meaningful at the same wire point density and the same cylinder-to-flat setting, because a worn or coarse clothing presents fewer working points per unit area. Total draft on a card is nominal rather than mechanical, since the web is condensed rather than drafted in the drawing-frame sense, and it says nothing about fibre orientation — a card sliver is a poorly oriented product by design, which is why drawing exists. Flat strips and licker-in droppings both remove short fibre and neps along with good fibre; cutting them to raise yield reliably shows up two processes later as ends down at the ring frame.
• Every input is bounded to the range normal practice occupies (Delivery Speed 1 to 800 m/min, Sliver Linear Density 0.5 to 20 ktex and Feed Lap / Chute Linear Density 10 to 2000 ktex, and so on for the rest). Those bounds are guard rails against typing errors, not a claim that the formula fails one unit outside them.
• The calculation is deterministic: the same inputs always give the same result. It carries no allowance for machine condition, operator skill, ambient conditions or lot-to-lot material variation unless an input above explicitly represents one.
• Nothing is sent anywhere. The maths runs in your browser, so the numbers you type never leave the page.

Questions people ask