First, determine the unconfined compressive strength (UCS) of the rock. (done by performing laboratory tests on rock samples or by using published data for similar rock types.)
Calculate the rock mass rating (RMR). (The RMR is a commonly used empirical classification system that takes into account factors such as the rock type, joint spacing and persistence, groundwater conditions, and in situ stress state.)
Estimate the allowable bearing capacity using empirical relationships based on the UCS and RMR or equivalent parameters (Allowable Bearing Capacity = (UCS x RMR x 0.5))
Calculating the allowable bearing capacity of rock involves several factors and considerations. The allowable bearing capacity refers to the maximum load that can be applied to the rock without causing excessive deformation or failure. Here are the steps to calculate it:
Determine the rock strength: Rock strength is a key parameter in calculating the allowable bearing capacity. It is typically expressed in terms of unconfined compressive strength (UCS) or point load index (PLI). Conduct laboratory tests or refer to existing data to determine the rock strength value.
Assess the rock quality designation (RQD): RQD is a measure of the rock mass quality and integrity. It is calculated based on the percentage of intact rock pieces larger than a specific size within a drill core sample. Higher RQD values indicate better rock quality. Evaluate the RQD value through core logging or rock mass classification systems.
Consider the rock mass rating (RMR): RMR is a geomechanical classification system that assesses the overall rock mass quality based on several parameters, such as RQD, rock strength, joint conditions, and groundwater conditions. Assign an RMR value to the rock mass based on the respective parameters.
Determine the rock material factor (Fm): The rock material factor accounts for the effect of jointing and other discontinuities in the rock mass. It is typically determined based on the joint spacing, joint persistence, and joint roughness. Use empirical charts or formulas to calculate the rock material factor.
Calculate the rock mass strength (σcm): The rock mass strength represents the combined strength of intact rock and the effect of jointing. It is calculated by multiplying the rock strength (UCS or PLI) by the rock material factor (Fm).
Account for the safety factor: The allowable bearing capacity is typically calculated with a safety factor applied to the rock mass strength. The safety factor depends on the level of risk, the degree of uncertainty, and the consequences of failure. Common safety factors range from 2 to 5, depending on the project requirements and geotechnical standards.
Calculate the allowable bearing capacity: Multiply the rock mass strength (σcm) by the safety factor to obtain the allowable bearing capacity of the rock.
It's important to note that the calculation methods may vary based on the specific geotechnical standards or design codes used in a particular region. Consulting with a geotechnical engineer or referring to relevant guidelines and literature specific to your location is recommended to ensure accurate and reliable calculations.
Bearing capacity obtained upon determination of ground bearing capacity by any method is divided by safety factor (SF) (qa = qu / SF) so that allowable ground stress is obtained. Safety factor values used in geotechnical engineering typically ranges between 2.5 and 3.5.
Conventionally, We use RMR or Q-Systems so as to put degree of weathering, fracture pattern, aperture/opening of fractures, availability of groundwater, etc... in addition to strength of the rock under investigation. As stated in many articles of rock mechanics, presumed bearing capacity of the specific rock type (as different rocks possess different strength) and we divide the value by factor of safety.