Ground engineering · Rock mechanics

Q-system & support calculator

Q = (RQD/Jn)(Jr/Ja)(Jw/SRF), equivalent dimension De = span/ESR, Q–RMR correlation and unsupported span.

Standard: Barton, Lien & Lunde (1974) · Grimstad & Barton

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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
RQD65%
Joint set number Jn9
Joint roughness Jr1.5
Joint alteration Ja1
Water reduction Jw1
Stress reduction SRF1
Span10m
ESR1.0 road & rail tunnels

Worked example — results

ResultValueUnit
Q10.83
De = span/ESR10.00m
RMR ≈ 9 ln Q + 4465.44
Max unsupported span 2 ESR Q^0.45.19m
0.0010.010.11101001000very poorgoodQ = 10.83De = span/ESR = 10.0 m · unsupported limit 5.2 mRMR ≈ 6500.5limit 1.0Span unsupported OK1.93 FAIL
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.