Thursday, November 19, 2009

Some Useful Numbers on the Engineering Properties of Materials

Some Useful Numbers on the Engineering Properties of Materials (Geologic and Otherwise)

GEOL 615

  Coefficient of sliding friction (m)

For most rocks, m varies between 0.8 and 0.5. A value of 0.60 would be a good number for general use.

Glass on glass            0.4

Rubber on concrete   0.75

Steel on steel             0.55

 

Angle of internal friction (f)

Rock                                30°

Sand                                30-40°

Gravel                              35°

Silt                                   34°

Clay                                 20°

Loose sand                      30-35°

Medium sand                   40°

Dense sand                      35-45°

Gravel with some sand    34-48°

Silt                                   26-35°

Because the angle of internal friction, f, is typically around 25-35°, the coefficient of internal friction (tanf) is 0.5 to 0.7

 

Cohesive strength (t0)

Rock                 10,000 kPa

Silt                    75 kPa

Clay                  10-20 kPa

Very soft clay   0- 48 kPa

Soft clay           48-96 kPa

Medium clay     96-192 kPa

Stiff clay           192-384 kPa

Very stiff clay  384-766 kPa

Hard clay          >766 kPa

 

Density (r)

Sandy soil                   1800 kg/m3

Gravel soil                   2000 kg/m3

Silty soil                      2100 kg/m3

Clay soil                      1900 kg/m3

Mafic igneous rocks    3000 kg/m3  

Felsic igneous rocks    2700 kg/m3

Metamorphic rocks     2700 kg/m3

Sedimentary rocks      2600 kg/m3

Granite                        2700 kg/m3

Shale                           2500 kg/m3

Limestone   2700 kg/m3

Chalk          2100 kg/m3

Sandstone   2000 kg/m3

Steel            8000 kg/m3

Concrete     1680-3000 kg/m3

Water          1000 kg/m3

 

Unit weight (g) (recall that g = rg)

"Rock"        26.5 kN/m3

Gravel soil  19 kN/m3

Sandy soil   16 kN/m3

Silty soil      20 kN/m3

Clay soil      18 kN/m3

Water          9.8 kN/m3

Concrete     23 kN/m3

Steel            78 kN/m3

 

Porosity

Gravel                            30-40%

Sand                               20-35 %

Silt                                  35-50 %

Clay                                33-60 %

Sand and gravel, mixed 20-35 %

Glacial till                       10-20 %

Sandstone                      5-30%

Limestone                      5-30%

Shale                              10-30 %

Text Box: ----- (Unfractured) ----Fractured igneous rock  10-40%

Granite                           0.5-1.5 %

Diabase                          0.1-0.5 %

Gabbro                           0.1-0.2 %

Basalt                             0.1-1.0 %

Gneiss                            0.5-1.5 %

Marble                            0.5-2 %

Slate                               0.1-0.5 %

Quartzite                        0.1-0.5 %

 

Permeability

Well-sorted gravel                            10-2 to 1 cm/sec

Well-sorted sands, glacial outwash  10-3 to 10-1 cm/sec

Silty sands, fine sands                     10-5 to 10-3 cm/sec

Silt, sandy silts, clayey sands, till    10-6 to 10-4 cm/sec

Clay                                                  10-9 to 10-6 cm/sec

 


Soil Sensitivity

Insensitive clays             <1

Low sensitive clays        1-2

Medium sensitive clays  2-4

Sensitive clays                4-8

Extra sensitive clays       8-16

Quick clay                      >16

 

Compressibility (Cc)

Soft clay     >0.3

Clay             0.3-0.15

Silty clay     0.15-0.075

Sandy clay <0.075

 

Poisson's ratio (n)

Sandy Soil  0.25-0.4

Gravel soil  0.15-0.35

Granite        0.1-0.3

Sandstone   0.21-0.38

Shale           0.2-0.4

Limestone   0.18-0.33

Chalk          0.35

Marble        0.06-0.22

Steel            0.3

 

Young's Modulus (E)

Clay soil      10-200 MPa (soft to stiff)

Sandy soil   10-50 MPa (loose to compact)

Gravel soil  70-170 MPa (loose to compact

Soft clay     1-3 MPa

Hard clay    6-14 MPa

Loose sand 10-28 MPa

Dense sand 35-69 MPa

Granite        10-70 GPa

Sandstone   1-20 GPa

Shale           1-70 GPa

Limestone   15-55 GPa

Marble        50-70 GPa

Steel            200 GPa

Glass           45 GPa

Wood          6,000-15,000 MPa

 

Bulk modulus (K)

Granite        50 GPa

Shale           10 GPa

Limestone   65 GPa

Chalk          9 GPa

Sandstone   0.7 GPa


Modulus of rigidity (m)

Granite         24 GPa

Shale            1.6 GPa

Limestone     24 GPa

Chalk            3.2 GPa

Sandstone    0.4 GPa

Steel             80 GPa

Wood           4 GPa

Glass            19 GPa

 

Lithostatic pressure gradient

26.46 MPa/km (for r = 2.70)

 

Hydrostatic pressure gradient

9.8 MPa/km

 

Unconfined compressive strength

Granite                          100-250 MPa

Basalt                            100-300 MPa

Quartzite                       150-300 MPa

Sandstone                     20-170 MPa

Shale                             5-100 MPa

Limestone                     30-250 MPa

Marble                          35-60 MPa

Slate                              100-200 MPa

Quartzite                       150-300 MPa

Concrete                       14-42 MPa 

High strength concrete 70 MPa

Steel                              250 MPa

Wood                            5 MPa

 

Field test for compressive strength of soils and rocks

 

Term                              Diagnostic features                   Undrained compressive strength

Very soft soil          Exudes between fingers when squeezed                   <25 kPa

Soft soil                  Easily indented by fingers                                         25-50 kPa

Firm soil                  Indented only by strong finger pressure                   50-100 kPa

Stiff soil                  Indented by thumb pressure                                      100-200 kPa

Very stiff soil         Indented by thumb nail                                             200-400 kPa

Hard                       soil                                                     Difficult to indent by thumbnail               400-1000 kPa

Very strong rock     Very hard rock, requires repeated hammer blows     >100 MPa

Strong rock             Hand specimen can be broken with single blow       50-100 MPa

Mod. strong rock    5 mm indentations with hammer pick end                12.5-50 MPa

Mod. weak rock     Too hard to cut by hand                                            5-12.5 MPa

Weak rock              Crumbles with blows of pick end of hammer           1.25-5 MPa

 


Shear strength

Granite               14-50 MPa

Diabase              25-60 MPa

Basalt                 20-60 MPa

Slate                                                                  15-30 MPa

Quartzite            20-60 MPa

Sandstone          8-40 MPa

Shale                  3-30 MPa

Limestone          10-50 MPa

Gravel                200-600 kPa

Sand                   100-300 kPa

Very soft clay    0-25 kPa

Soft clay            25-50 kPa

Medium clay      50-100 kPa

Stiff clay           100-200 kPa

Very Stiff clay   200-400 kPa

Hard clay           >400 kPa

Wood                 10 MPa

Concrete             2 MPa

Steel                   230 MPa

 

Tensile strength

Granite                    7-25 MPa

Basalt                      10-30 MPa

Gneiss                     5-20 MPa

Quartzite                 10-30 MPa

Sandstone               4-25 MPa

Shale                       2-10 MPa

Limestone               5-25 MPa

Marble                     15 MPa

Steel                        400 MPa

High strength steel 750 MPa

Cast iron                  170 MPa

Aluminum               450 MPa

Concrete                  5 MPa

Rubber                    15 MPa

 

P-wave velocity

Soil               100-500 m/sec

Glacier ice    3000-4000 m/sec

Clay (dry)     200-1400 m/sec

Clay (wet)    1200-2200 m/sec

Alluvium      3000-5000 m/sec

Water           1450-1500 m/sec

Sand             400-2300 m/sec

Oil                1300 m/sec

Air                320-340 m/sec

Granite         3000-5900 m/sec

Basalt           4500-6500 m/sec

Quartzite      5000-6500 m/sec

Sandstone    1400-4000 m/sec

Shale            1400-3000 m/sec

Limestone    2500-6000 m/sec

Marble          3500-6000 m/sec

Salt               4500 m/sec

 

S-wave velocity

Clay (dry)           410 m/sec

Clay (saturated) 390 m/sec

Alluvium            1900 m/sec

Water                 0 m/sec (because no shear strength)

Oil                      0 m/sec (because no shear strength)

Air                      0 m/sec (because no shear strength)

Limestone          3100 m/sec

Sandstone          2400 m/sec

Dolomite            3000 m/sec

Shale                  2600 m/sec

Granite               3400-3600 m/sec

Dolerite              3500-3600 m/sec

Salt                     2700 m/sec

 

Resistivity

Marble                    5 x 107-109 Ohm-m

Mica                        1011-1014 Ohm-m

Quartz                     1012-1014 Ohm-m

Slate                        1-2 x 106 Ohm-m

Petroleum               2 x1014 Ohm-m

Distilled water        5000 Ohm-m

Saltwater 2 ppm     3.4 Ohm-m

Saltwater 10 ppm   0.72 Ohm-m

Saltwater 20 ppm   0.38 Ohm-m

Saltwater 100 ppm 0.09 Ohm-m

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More reference: http://osp.mans.edu.eg/geotechnical/Ch1C.htm

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