Hydraulics & drainage · Flooding & scour

Stream & debris force on a pier calculator

Drag force from flow on the pier and on a debris mat, with the resultant height for overturning.

Standard: AS 5100.2 Cl 15 (drag form, simplified)

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Inputs in the worked example

The live calculator starts with these values; change any of them and every result, check and diagram updates instantly.

InputValueUnit
Mean flow velocity3m/s
Drag coefficient (pier shape)0.7 semicircular nose
Pier width1200mm
Flow depth4m
Debris mat area12m²
Debris drag coefficient1

Worked example — results

ResultValueUnit
Pier drag 0.5 Cd ρ V² b h15.12kN
Debris drag 0.5 Cd ρ V² A54.00kN
Total69.12kN
Moment at bed (pier force at 0.6h... debris at h)252.3kNm
V 3 m/sdebris Ad 12 m²h 4 mFp 15.1 kNFd 54.0 kNF 69.1 kNM base 252 kNm
Diagram for the worked example

Method, formulas and assumptions

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For preliminary design and education. Check every result against the current standard and your own engineering judgement before use.