The value of the toughness index of most soil lies between the:

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  1. 0 to 2.0
  2. 0 to 0.5
  3. 0 to 1.0
  4. 0 to 3.0

Answer (Detailed Solution Below)

Option 4 : 0 to 3.0
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Explanation:

Toughness Index (\(I_T\))

  • It is the ratio of the plasticity index (\(I_P\)) of the soil to the flow index (\(I_F\)) of the soil.
  • It varies between 0 to 3.
  • This gives us an idea of the shear strength of soil at its plastic limit.
  • When the toughness index is less than 1, the soil is said to be friable, which means it can be easily crushed at the plastic limit.

Additional InformationPlasticity Index (\(I_P\))

  • The plasticity index (\(I_P\)) is the range of water content over which the soil remains in the plastic state.
  • Plasticity Index = Liquid Limit – Plastic Limit.
  • It is an important index property of fine-grained soil, especially clayey soils. The plasticity index is maximum for clayey soil.

Flow Index (\(I_F\))

  • It is defined as the rate at which a soil mass loses its shear strength with an increase in water content.
  • It is obtained by the slope of the curve drawn for Water content v/s Number of blows
  • \(I_F = { w_1-w_2\over log{(N_2/N_1)}}\) ; where w=water content, N= No. of blows
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