Rock Mass Rating Calculator

Calculate Bieniawski RMR for rock mass classification. Sums UCS, RQD, spacing, condition, groundwater, and orientation scores into Class I-V.

+7
+17
+10
+25
+10
-5

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 RMR64
Estimated rock properties (RMR Class II): cohesion 300-400 kPa, friction angle 35-45°. Used for tunnel design, slope stability, and mining excavation planning.
RMR Classes and Recommendations
ClassRMRRock MassStand-up Time (10 m span)
I81 – 100Very good rock20 years
II61 – 80Good rock1 year
III41 – 60Fair rock1 week
IV21 – 40Poor rock10 hours
V0 – 20Very poor rock30 minutes

How to Use the Rock Mass Rating Calculator

  1. 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.
  2. 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.
  3. Set discontinuity spacing — the average distance between joints, fractures, and bedding planes.
  4. Rate discontinuity condition: roughness, persistence, weathering, separation width, and any infilling material.
  5. Pick groundwater condition from dry through flowing water.
  6. Apply orientation adjustment based on whether joints favor or work against your excavation/structure direction.

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 is used for: tunnel support design, slope stability analysis, mining excavation planning, foundation bearing capacity, and estimating rock mass deformation modulus. Different engineering applications use slightly different scoring weights and adjustments.

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.

ClassTunnel Support (10m span)Excavation MethodSlope Stability Implication
I (81-100)Spot bolting onlyFull face excavationStable slopes > 75°
II (61-80)Local bolting + shotcreteFull face, 1-1.5m advanceStable slopes 65-75°
III (41-60)Systematic bolting, 50mm shotcreteTop heading + benching, 1.5-3mStable slopes 50-65°
IV (21-40)Systematic bolting, 100-150mm shotcrete, light steel ribsTop heading + benching, 1-1.5mSlopes 25-50° need analysis
V (0-20)Heavy steel ribs, 150-200mm shotcrete, forepolingMultiple drifts, 0.5-1m advanceActive 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

Rock Mass Rating (RMR) is a geomechanical classification system developed by Z.T. Bieniawski in 1973 for characterizing rock masses for engineering purposes. It scores six parameters (UCS, RQD, discontinuity spacing, discontinuity condition, groundwater, joint orientation) and sums them to produce a value from 0 to 100. RMR is widely used in tunnel engineering, mining, and slope stability analysis.

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