# The shear strength of soil

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The shear strength of soil
1. increases with an increase in the normal stress
2. is proportional to the cohesion of the soil
3. is generally known as the strength of the soil
4. All of the above

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Correct Answer - Option 4 : All of the above

Concept:

Shear strength of soil is the capacity of soil to resist shearing stresses.  It can be defined as the maximum value of shear stress that can be mobilized within a soil mass. If this value exceeded by the shear stress on any plane or a surface at a point, failure will occur in soil because of movement of a portion of the soil mass along that particular plane. The soil is then said to be fail in shear.  Therefore, shear strength generally represented the strength of soil.

As per Mohr- Coulomb criteria, Shear strength of soil is given as:

τ = C + σ tanϕ

Where,

C is the Cohesion

σ is normal stress

ϕ is the friction angle

From above, it can be concluded that

a. It increases with an increase in the normal stress.

b. It is proportional to the cohesion of the soil i.e. increases with increase in cohesion.

c. it increases with increases in friction angle.