Quick Formulas from Foundation Engineering

Quick Formulas from Foundation Engineering

Civil engineering structures are unimaginable without a strong foundation. A deep understanding of geotechnical engineering and soil mechanics enables engineers to optimize project costs across all three phases—Concept, Preliminary, and Detailed Engineering. This article aims to explore fundamental equations, soil classification methods, and key correlations in the field of geotechnical engineering.

Volumetric and weight relationships

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Figure 1: Volumetric and Weight Relationships (void ratio, saturation, relative density)

Atterberg limits (Cohesive soils)

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Figure 2: Atterberg Limits: Shrinkage Limit, Plastic limit, and Liquid limit

Non-cohesive (granular) soil classification


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Figure 3: Classification based on Relative Density ( soil non-cohesive soil compactness)


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Figure 4: Classification based on SPT (N) Value ( Friction angle Phi)

Cohesive soil classification


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Figure 5: soil classification based on Undrained Shear Strength

Rock classification based on Unconfined Compressive Strength


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Figure 6: Rock classification based on unconfined compressive strength

Soil classification based on grading, Well graded, Poorly graded and Gap-graded


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Figure 7: Grading curve, % Finer Vs Particle Diameter, Calculating Uniformity coefficient and Coefficient of Gradation

Pile Capacity

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Figure 8: Pile capacity calculation

Relationships between tests and soil parameters

The soil's bearing capacity (strength), deformation (settlement), compaction, permeability, and consolidation characteristics are assessed through various in-situ tests.

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Equation 1: SPT and soil friction angle relationship
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Equation 2: Tip CPT and soil internal friction angle relationship

Conclusion

A civil engineer with a strong command of soil mechanics, geotechnical engineering, foundation design, pile construction, and ground improvement is a valuable asset to the design, construction, and project management team. Proper soil engineering ensures the smooth progress of a project and helps mitigate unforeseen challenges ( schedule overrun, cost overrun, ground failure/settlement).

We welcome you to share your feedback, experiences, and insights on geotechnical investigations, design, and challenges encountered in your projects.

References and further resources

  1. https://bpb-us-e1.wpmucdn.com/sites.psu.edu/dist/1/57960/files/2016/10/Some-Useful-Numbers-1g1rkuu.pdf
  2. https://www.fps.org.uk/
  3. https://www.fhwa.dot.gov/publications/research/infrastructure/geotechnical/98139/02.cfm
  4. https://www1.bca.gov.sg/docs/default-source/docs-corp-regulatory/building-control/guide-on-ground-investigation-and-geotechnical-characteristic-values-to-ec7-24-apr-2015.pdf?sfvrsn=860cd437_2
  5. https://www.cedd.gov.hk/filemanager/eng/content_148/ep1_2006.pdf

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