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    Civil Engineering - Texas Tech University

    CE 3121: Geotechnical Engineering Laboratory 

    Class 6 

    Shear Strength

    (Direct Shear Test)

    Sources: 

    Soil Mechanics – Laboratory Manual, B.M. DAS (Chapter 15)

    Soil Properties, Testing, Measurement, and Evaluation, C. Liu, J. Evett

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    Shear strength in soils

    Introduction

    Definitions Direct shear test

    Introduction

    Procedure

    Calculation

    Results and Figures

    Class Outlines

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    Shear Strength

    The strength of a material is the greatest

    stress it can sustain

    The safety of any geotechnical structure is

    dependent on the strength of the soil

    If the soil fails, the structure founded on it can

    collapse

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    Slope Failure in Soils

    Failure due to inadequate

    strength at shear interface

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    Shear Failure in Soils

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    Transcosna Grain Elevator  Canada(Oct. 18, 1913)

    West side of foundation sank 24-ft

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    Significance of Shear Strength

    Engineers must understand the nature ofshearing resistance in order to analyze soilstability problems such as;

    Bearing capacity Slope stability

    Lateral earth pressure on earth-retainingstructures

    Pavement

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    Shear Strength in Soils

    The shear strength of a soil is its resistance toshearing stresses.

    It is a measure of the soil resistance to deformationby continuous displacement of its individual soilparticles

    Shear strength in soils depends primarily oninteractions between particles

    Shear failure occurs when the stresses between the

    particles are such that they slide or roll past eachother

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    Shear Strength in Soils (cont.)

    Soil derives its shear strength from two

    sources:

    Cohesion between particles (stress

    independent component)

    Cementation between sand grains

    Electrostatic attraction between clay particles

    Frictional resistance between particles (stressdependent component)

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    Shear Strength of Soils; Cohesion

    Cohesion (C), is a measure of the forces thatcement particles of soils

     Dry sand with no cementation Dry sand with some cementation

     Soft clay

     Stiff clay

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    Shear Strength of Soils; Internal Friction

    Internal Friction angle (f ), is the measure of theshear strength of soils due to friction

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    Mohr-Coulomb Failure Criteria

    This theory states that a material fails

    because of a critical combination of normal

    stress and shear stress, and not from their

    either maximum normal or shear stressalone.

    The relationship between normal stress and

    shear is given as

    f     tanc sfrictioninternalof angle 

    cohesionc

    strengthshears

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    Shear

    Strength,S

    Normal Stress, n =  = h 

    f = f 

    Mohr-Coulomb Failure Criterion

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    General State of Stress

    σ1 

    σ1 major principle stress 

    σ3 σ3Minor principle stress

    Confining stress

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    State of Stresses in Soils

    σ1 

    Shear

    stress σ3σ3

     Normal stress σnConsider the following situation:

    - A normal stress is applied vertically

    and held constant

    - A shear stress is then applied until

    failure

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    Determination of Shear Strength

    Parameters

    The shear strength parameters of a soil are

    determined in the lab primarily with two types of tests;

    Direct Shear Test

    Triaxial Shear Test

    Soil

    Normal stress σn

    Shear stress σ3

    1

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    Direct Shear Test

    Direct shear test is Quick and Inexpensive

    Shortcoming is that it fails the soil on a

    designated plane which may not be the

    weakest one

    Used to determine the shear strength of both

    cohesive as well as non-cohesive soils

     ASTM D 3080

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    Direct Shear Test (cont.)

    The test equipment consists ofa metal box in which the soilspecimen is placed

    The box is split horizontallyinto two halves

    Vertical force (normal stress)is applied through a metalplaten

    Shear force is applied bymoving one half of the boxrelative to the other to causefailure in the soil specimen

    Soil

    Normal stress σn

    Shear stress σ3

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    Direct Shear Test 

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    Direct Shear Test

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    Direct Shear Test

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    Direct Shear Test Data

       S   h  e  a  r  s   t  r  e  s  s

    Residual Strength

    Peak Strength

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    Direct Shear Test Data

    Volume change

    H

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    Direct Shear Test (Procedure)

    1.Measure inner side or diameter of shear box and find the area

    2.Make sure top and bottom halves of shear box are in contact andfixed together.

    3.Weigh out 150 g of sand.

    4.Place the soil in three layers in the mold using the funnel.Compact the soil with 20 blows per layer.

    5.Place cover on top of sand

    6.Place shear box in machine.

    7. Apply normal force. The weights to use for the three runs are

    2 kg, 4 kg, and 6 kg if the load is applied through a lever arm, or 10kg, 20 kg, and 30 kg, if the load is applied directly.

    Note: Lever arm loading ratio 1:10 (2kg weight = 20 kg)

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    Direct Shear Test (Procedure)

    8. Start the motor with selected speed (0.1 in/min) so that the

    rate of shearing is at a selected constant rate

    9. Take the horizontal displacement gauge, vertical displacement 

    gage and shear load gage readings. Record the readings on

    the data sheet.10. Continue taking readings until the horizontal shear load peaks

    and then falls, or the horizontal displacement reaches 15% of

    the diameter.

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    Calculations

    1. Determine the dry unit

    weight, gd

    2. Calculate the void

    ratio, e

    3. Calculate the normal

    stress & shear stress

    1d 

    wGs

    e

     A

     A

     N       ;

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    Figures

       S   h  e  a  r

      s   t  r  e

      s  s ,  s

    Peak Stress

    N1 = 10 kg

    N2 = 20 kg

    N3 = 30 kg

    Horizontal displacement, H

    s3

    s2

    s1

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    Figures (cont)

       S

       h  e  a  r

       S   t  r  e  s  s ,  s

       (  p  s   f   )

    (1,s1)

    (3,s3)(2,s2)

    Normal Stress , psf

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    Figures (cont)

       V  e  r   t   i  c  a   l   d   i  s  p   l  a  c  e  m  e  n   t

    Horizontal displacement