Young's Modulus οf Soft Rock

About Young's Modulus of Soft Rock

Current tool estimates the deformation modulus or modulus of elasticity of soft rock based on Hoobs (1974) Mass Factor theoretical equation. It requires as an input the unconfined compressive strength of rock from UCS laboratory tests and RQD values from coring.

The equation uses the mass factor j, to account for rock mass discontinuities, fractures and weathering and the modulus ratio value, Mr to account for rock type.

Em = j · Mr · UCS


Where:

  • j is the rock mass factor to account for fractures, weathering and mass discontinuities.
  • Mr is the ratio between deformation modulus.
  • Unconfined compressive strength UCS is the unconfined compressive strength of intact rock as reported from laboratory tests.

Mass factor values with RQD are presented in Table 1. Typical modulus ration values with rock type are presented in Table 2.


Table 1: Modulus ratio values for various types of rock.
Group Rock type Modulus ratio
1 Pure limestones and dolomites
Carbonate sandstones of low porosity
600
2 Igneous
Oolite and marly limestones
Well-cemented sandstones
Indurated carbonate mudstones
Metamorphic rocks, including slates and schists (flat cleavage/foliation)
300
3 Very marly limestones
Poorly cemented sandstones
Cemented mudstones and shales
Slates and schists (steep cleavage/foliation)
150
4 Uncemented mudstones and shales 75
Table 2: Mass factor values.
Quality classification* RQD (%) Mass factor (j)
Very poor 0 to 25 0.2
Poor 25 to 50 0.2
Fair 50 to 75 0.2 to 0.8
Good 75 to 90 0.5 to 0.8
Excellent 90 to 100 0.8 to 1.0

References

  1. Tomlinson, M.J. 2001. Foundation Design and Construction 7th Edition.
Activated ags files
# Project Ags Name Method Actions
SN Depth Rock Quality Designation, RQD UCS Modulus Ratio, Mr Quality Classifications Mass Factor, j Young's Modulus, E
m % MPa - - - MPa

Note: To use the tool list all the available UCS and RQD data with depth. Then select a modulus ratio value for each sample. The tool calculates automatically the large strain modulus of rock, Em.