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Saturday, April 4, 2015

9.SHEAR STRENGTH


1.Shear strength:
 It is the strength of soil to give resistance to the deformation by continuous replacement of soil particle.

Shear strength of soil constituted by
1.     Structural resistant due to interlocking
2.   Frictional resistance
3.   Cohesion or adhesion

2.Coulomb’s Law:
According to the coulomb’s law the strength of soil can be found by the following equation.
                        formulae for shear strength of soil
                            S= Shear strength
                                         C = Cohesion
                                             = Angle of internal friction of shearing resistance

3.Measurement of shear strength:
Measurement of shear strength is the process of testing the soil for its failure in different set of conditions. Shearing resistance can be determined in the laboratory by following methods.
i.      Direct shear test
ii.   Triaxial shear test
iii.Unconfined compression test
iv. Vane shear test

     Again depending upon its drainage conditions test developed as…

a.   Undrained test or Quick test
b.   Consolidated-undrained test
c.    Drained test

          In the undrained test no discharge of water is permitted. So there is no change of pore water pressure during the test.

In drained test Drainage is permitted so as there is no excess pore water pressure and full consolidation occurs.

        In Consolidated-undrained test the drainage is permitted only for initially applied large stress. Full consolidation occurs there after no drainage is permitted.

4.Direct Shear test:
  This is simple and commonly used test. It consists of shear box apparatus which has two square or circular shear boxes. One is rigidly fixed at bottom and the top box is movable with the help of proving ring. When the soil filled shearing box is applied load, the soil fails at certain load is measured using proving ring. This test can  be performed under all the conditions.


5.Tri-axial Compression test:
This is strength test more commonly used in all research laboratory first introduced by A.Casangrande and Karl Terzaghi.     In this test the solid specimen cylindrical shape is subjected to direct stresses acting three mutually perpendicular directions. The major principal stress acts in the vertical direction and the other two stresses acting in the horizontal direction.

     From the test the following relation can be derived.

Triaxial compression test formulae procedure
                 The failure plane or critical shear plane
                            Failure plane for shear strength formulae
 6.Unconfined compression test:
 This test is advanced to the triaxial test. In this test the cell pressure or confining pressure is zero. The horizontal stress is called cell pressure or confining pressure. The failure load is determined by proving ring.

                     
Unconfined compression (UCC) test formulae

  Generally this test is applicable for saturated clay for  which angle of internal friction is zero. While submitting  angle of internal friction as zero in the above equation.

                      Shear strength formulae for clay soil

6.Vane Shear test:
 Vane shear test is quick test used to determine undrained shear strength of cohesive soil. The apparatus consists of four thin plates called vanes. During the test the vanes are gently pushed in to the soil and torque is applied at the uniform speed generally 10 per minute. The torque at failure is noted down.

             Then the failure toque is equal to shear resistance of soil.
                           
torque equation for shear strength vane shear test

             d= Over all diameter Of vane
                   H= Height of vane= (2.d)



Examples:
1. A dry sand sample with angle of internal friction 36o is       subjected to tri-axial test. If the minor principal stress  acting is 250 KN/m2  Find the value of Deviator stress.?
Ans:Shear strength of soil problems and solutions










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