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Shear Strength of Soil τ f  = c +  σ ’ tan  φ τ f  = shear strength c  = cohesion φ  = angle of internal friction σ 1   σ 1  major principle stress   σ 3 σ 3 Minor principle stress Confining stress σ n τ f
Shear Strength of Soil σ 1   Shear stress  σ 3 σ 3 Normal stress  σ n Consider the following situation: A normal stress is applied vertically and held constant A shear stress is then applied until failure
Shear Strength of Soil σ 1   Shear stress  σ 3 σ 3 Normal stress  σ n ,[object Object],[object Object]
Direct Shear Test Soil Normal stress  σ n Shear stress  σ 3 ,[object Object],[object Object],[object Object],[object Object],[object Object]
c φ Shear stress normal stress Plotting 2 or more points provides the following Direct Shear Test
Direct Shear Test ,[object Object],[object Object]
c Shear stress normal stress ,[object Object],[object Object],[object Object],Direct Shear Test
c = 0 φ Shear stress normal stress Typical plot for sands -  Drained Condition Direct Shear Test
Direct Shear Test φ Shear stress normal stress Typical plot for clays -  drained condition Overconsolidated OCR >1 normallyconsolidated OCR=1 c
Residual Shear Strength ,[object Object],[object Object],[object Object],[object Object],Shear stress Shear displacement Peak Strength Residual Strength
Triaxial Shear Test
Triaxial Shear Test ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Consolidated – Drained Triaxial Test ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Consolidated – Drained Triaxial Test ,[object Object],[object Object],[object Object]
Consolidated – Undrained Triaxial Test ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Unconsolidated – Undrained Test ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Shear Strength of Soil c Shear stress normal stress Typical UU plot for clays
Unconfined Compression Test ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The Real World ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Suggested Problems ,[object Object],[object Object],[object Object],[object Object]

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Shear Strength Parameters c and φ from Direct Shear and Triaxial Tests

  • 1. Shear Strength of Soil τ f = c + σ ’ tan φ τ f = shear strength c = cohesion φ = angle of internal friction σ 1 σ 1 major principle stress σ 3 σ 3 Minor principle stress Confining stress σ n τ f
  • 2. Shear Strength of Soil σ 1 Shear stress σ 3 σ 3 Normal stress σ n Consider the following situation: A normal stress is applied vertically and held constant A shear stress is then applied until failure
  • 3.
  • 4.
  • 5. c φ Shear stress normal stress Plotting 2 or more points provides the following Direct Shear Test
  • 6.
  • 7.
  • 8. c = 0 φ Shear stress normal stress Typical plot for sands - Drained Condition Direct Shear Test
  • 9. Direct Shear Test φ Shear stress normal stress Typical plot for clays - drained condition Overconsolidated OCR >1 normallyconsolidated OCR=1 c
  • 10.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17. Shear Strength of Soil c Shear stress normal stress Typical UU plot for clays
  • 18.
  • 19.
  • 20.