Free calculators for paper and tissue makers: production rate, reel weight, consistency, basis weight, OEE, cost of a stop, roll speed and draw. Everything runs in your browser.
Production
Tonnes per hour, day and shift from machine speed, grammage and trim width.
Share of time actually producing saleable paper
Net rate
3.17t/h
t/h = speed (m/min) × grammage (g/m²) × width (m) × 60 ÷ 1 000 000, then × time efficiency.
Production
Paper length and weight on a reel from its diameter, core, width and caliper.
Wound caliper; tissue is bulky, so use the measured value
Reel weight
1.77t
Length = π × (D² − d²) ÷ (4 × caliper); weight = length × width × grammage.
Stock & fibre
Dry fibre flow, and the water needed to dilute stock to a target consistency.
Dilution water to add
10,125L/min
Fibre = flow × consistency. Water to add = flow × (current ÷ target − 1). Stock density taken as 1 kg/L.
Paper properties
Convert grammage to imperial basis weights, and work out bulk and density from caliper.
Bulk
1.25cm³/g
Bulk = caliper ÷ grammage. Density = grammage ÷ caliper. Imperial basis weight = grammage × ream area ÷ 453.6 g/lb.
Performance
Availability, performance, quality and OEE from the figures on a shift report.
OEE
81.4%
Availability = run time ÷ planned time. Performance = produced ÷ (ideal rate × run time). Quality = saleable ÷ produced. OEE = A × P × Q.
Performance
Tonnes and money lost while the machine is down, to help justify a repair or spare.
Selling price minus variable cost per tonne
Cost of this stop
11,475R
Lost tonnes = rate × minutes ÷ 60. Cost = lost tonnes × contribution per tonne + repair costs.
Machine
Surface speed of a roll or cylinder from its diameter and RPM, or the RPM for a target speed.
e.g. a 15 ft Yankee is 4572 mm
Surface speed
1,494m/min
Surface speed = π × diameter × RPM.
Machine
Speed difference (draw) between two sections, e.g. Yankee to reel for crepe.
e.g. Yankee
e.g. pope reel
Draw
-16.67%
Draw = (downstream − upstream) ÷ upstream. Crepe ratio = (Yankee − reel) ÷ reel.
FibreMate logs every reel and stop, and works out production, OEE and lost time for you.
