- Select the UCS (Uniaxial Compressive Strength) of the intact rock based on point load tests or laboratory testing. Most rocks fall in the 25-250 MPa range.
- Choose RQD (Rock Quality Designation) from drill core logging. RQD is the cumulative length of intact core pieces > 10 cm divided by total core length, expressed as percentage.
- Set discontinuity spacing — the average distance between joints, fractures, and bedding planes.
- Rate discontinuity condition: roughness, persistence, weathering, separation width, and any infilling material.
- Pick groundwater condition from dry through flowing water.
- Apply orientation adjustment based on whether joints favor or work against your excavation/structure direction.
Rock Mass Rating Calculator
Calculate Bieniawski RMR for rock mass classification. Sums UCS, RQD, spacing, condition, groundwater, and orientation scores into Class I-V.
RMR (0-100)
64
Class II: Good Rock
Good rock mass
| UCS | +7 |
| RQD | +17 |
| Discontinuity spacing | +10 |
| Discontinuity condition | +25 |
| Groundwater | +10 |
| Basic RMR (sum) | 69 |
| Orientation adjustment | -5 |
| Adjusted RMR | 64 |
| Class | RMR | Rock Mass | Stand-up Time (10 m span) |
|---|---|---|---|
| I | 81 – 100 | Very good rock | 20 years |
| II | 61 – 80 | Good rock | 1 year |
| III | 41 – 60 | Fair rock | 1 week |
| IV | 21 – 40 | Poor rock | 10 hours |
| V | 0 – 20 | Very poor rock | 30 minutes |
How to Use the Rock Mass Rating Calculator
The Bieniawski RMR System
The Rock Mass Rating (RMR) system was developed by Z.T. Bieniawski in 1973 and refined through several versions (RMR76, RMR89). It's the most widely used rock mass classification system in geotechnical engineering, tunneling, and mining.
RMR = UCS_score
+ RQD_score
+ Spacing_score
+ Condition_score
+ Groundwater_score
+ Orientation_adjustment
Max: 100 (very good rock), Min: 0 (very poor rock)The six parameters and their maximum contributions:
- UCS (0-15 points) — strength of intact rock
- RQD (3-20 points) — degree of jointing/fracturing
- Discontinuity spacing (5-20 points) — joint frequency
- Discontinuity condition (0-30 points) — joint surface quality
- Groundwater (0-15 points) — water presence/flow
- Joint orientation (-12 to 0 points) — adjustment for engineering purpose
RMR in Practice: From Classification to Engineering Design
RMR is more than a number — it's a starting point for engineering decisions across multiple rock-related disciplines. The classes (I through V) map to specific support recommendations and stand-up times that engineers reference daily.
| Class | Tunnel Support (10m span) | Excavation Method | Slope Stability Implication |
|---|---|---|---|
| I (81-100) | Spot bolting only | Full face excavation | Stable slopes > 75° |
| II (61-80) | Local bolting + shotcrete | Full face, 1-1.5m advance | Stable slopes 65-75° |
| III (41-60) | Systematic bolting, 50mm shotcrete | Top heading + benching, 1.5-3m | Stable slopes 50-65° |
| IV (21-40) | Systematic bolting, 100-150mm shotcrete, light steel ribs | Top heading + benching, 1-1.5m | Slopes 25-50° need analysis |
| V (0-20) | Heavy steel ribs, 150-200mm shotcrete, forepoling | Multiple drifts, 0.5-1m advance | Active support required even at low angles |
Three practical considerations from working with RMR:
- RMR is a starting point, not a final answer. Site-specific factors like in-situ stress, seismic conditions, weathering progression, and time-dependent behavior all modify the engineering response. RMR informs initial design; instrumentation refines it.
- Compare with Q-system and GSI. Different classification systems (Barton's Q-system, Hoek's GSI) emphasize different parameters. Most modern projects use 2-3 classifications in parallel and reconcile differences before committing to design.
- Field RMR can shift during excavation. Discontinuity conditions and groundwater often change as excavation progresses. Many projects re-rate every 100-200m of tunnel advance to catch shifting conditions early.
Frequently Asked Questions
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