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Shear Strength of Soils. failure surface. mobilised shear resistance. Shear failure. Soils generally fail in shear. embankment. strip footing. At failure, shear stress along the failure surface reaches the shear strength. failure surface. Shear failure. - PowerPoint PPT Presentation

### Transcript of Shear Strength of Soils

• Shear Strength of Soils

Shear failureSoils generally fail in shearstrip footingembankmentAt failure, shear stress along the failure surface reaches the shear strength.

Shear failureThe soil grains slide over each other along the failure surface.No crushing of individual grains.

Shear failureAt failure, shear stress along the failure surface () reaches the shear strength (f).

Mohr-Coulomb Failure Criterioncfailure envelopecohesionfriction anglef is the maximum shear stress the soil can take without failure, under normal stress of .

Mohr-Coulomb Failure CriterionShear strength consists of two components: cohesive and frictional.

c and are measures of shear strength.Higher the values, higher the shear strength.

• Mohr Circles & Failure EnvelopeXYSoil elements at different locationsXY~ failure~ stable

• Mohr Circles & Failure EnvelopeYInitially, Mohr circle is a pointcc+The soil element does not fail if the Mohr circle is contained within the envelopeGL

• Mohr Circles & Failure EnvelopeYcGLAs loading progresses, Mohr circle becomes larger.. and finally failure occurs when Mohr circle touches the envelope

• Orientation of Failure PlaneYcGLc+90+Failure plane oriented at 45 + /2 to horizontal

• Mohr circles in terms of & =+vhvh

• Envelopes in terms of & Identical specimens initially subjected to different isotropic stresses (c) and then loaded axially to failurefInitiallyFailureufAt failure,3 = c; 1 = c+f3 = 3 uf ; 1 = 1 - ufc, c, in terms of in terms of

Triaxial Test Apparatuspiston (to apply deviatoric stress)pedestalperspex cellcell pressureback pressurepore pressure orvolume change

Types of Triaxial TestsDepending on whether drainage is allowed or not during initial isotropic cell pressure application, and shearing,there are three special types of triaxial tests that have practical significances. They are:ConsolidatedDrained (CD) testConsolidated Undrained (CU) testUnconsolidated Undrained (UU) test

Granular soils have no cohesion. c = 0 & c= 0For normally consolidated clays, c = 0 & c = 0.For unconsolidated undrained test, in terms of total stresses, u = 0

CD, CU and UU Triaxial Tests no excess pore pressure throughout the test very slow shearing to avoid build-up of pore pressureConsolidated Drained (CD) Test gives c and Can be days! not desirableUse c and for analysing fully drainedsituations (e.g., long term stability, very slow loading)

CD, CU and UU Triaxial Tests pore pressure develops during shear faster than CD (preferred way to find c and )Consolidated Undrained (CU) Test gives c and Measure

CD, CU and UU Triaxial Tests pore pressure develops during shear very quick testUnconsolidated Undrained (UU) Test analyse in terms of gives cu and u Not measured unknown

= 0; i.e., failure envelope is horizontalUse cu and u for analysing undrained situations (e.g., short term stability, quick loading)

• 1- 3 Relation at Failure

Stress Pointhvstress point

Stress PathStress path is the locus of stress pointsStress pathDuring loadingStress path is a convenient way to keep track of theprogress in loading with respect to failure envelope.