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Chain length for a 455 mm chainstay with a 48t ring and 25t sprocket

Chain length
112links
55.1″ for a 455 mm chainstay with a 48t ring and a 25t sprocket
48t25t455 mm chainstay112links55.1″min 110
Links (round up to even)112links
Length1,399 mm55.1in
FormulaPark Tool / Shimano method2 × 17.91 + 48/4 + 25/4 + 1
Chainstay17.91″ — bottom bracket centre to rear axle455mm
Absolute minimumbig ring to big sprocket, with no slack left at all110links
From a 116-link chainlinks to take out of a new chainremove 4
Total teeth48t ring + 25t sprocket73

Notes

  • Round up to an even number, always. A link is one inner plate plus one outer plate; there is no such thing as an odd link on a derailleur chain. 110.2 rounds to 112.
  • Too long beats too short, and it is not close. A chain that cannot reach big ring to big sprocket will tear the derailleur into the wheel and take the hanger — sometimes the frame — with it. A chain a couple of links too long just hangs slightly slack in the small–small combination you should not be using anyway.
  • Measure the chainstay to the axle centre, not to the dropout face. On a bike with sliding dropouts or an eccentric bottom bracket, measure it in the position you actually ride.
  • This formula gives a slightly longer chain than wrapping it around the big ring and big sprocket and adding two links. That is deliberate: the wrap method has no allowance for the derailleur cage taking up slack, and it comes out short on long-cage rear derailleurs.
  • A new chain on a worn cassette will skip under load. If you are replacing a chain that has been on the bike a long time, check cassette wear at the same time — a chain checker under 0.75% means you probably got away with it.

The formula

L = 2C + (F/4) + (R/4) + 1

with C the chainstay in inches, F the largest chainring and R the largest sprocket. For a 455 mm (17.91″) chainstay with a 48t ring and 25t sprocket that gives 55.1″ — 112 links.

Round up, and round to even

A link is one inner plate plus one outer plate. There is no such thing as an odd link on a derailleur chain, so the answer always lands on an even number. From a new 116-link chain, take out 4 links.

Too long beats too short, and it is not close

The absolute floor here is 110 links — big ring to big sprocket with no slack whatsoever. A chain that cannot reach that combination will pull the derailleur into the wheel and take the hanger, sometimes the frame, with it.

A chain a couple of links longer than ideal just hangs slightly slack in the small–small combination you should not be riding anyway.

Measure to the axle centre

Not to the dropout face. On a bike with sliding dropouts or an eccentric bottom bracket, measure in the position you actually ride.

Why this comes out longer than wrapping

Wrapping the chain around the big ring and big sprocket and adding two links has no allowance for the derailleur cage taking up slack, and it comes out short on long-cage rear derailleurs. That is the failure mode this formula is built to avoid.

Nearby sizes

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