1 Specific Gravity. 2 Specific Gravity Gs 3 Phase Material

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1

Specific Gravity

2

Specific Gravity Gs

3

Phase Material

4

The Mineral Skeleton

5

Three Phase Diagram

6

Fully Saturated Soils

7

Dry Soils

8

Partly Saturated Soils

9

Phase Diagram

10

Objectives of a Phase Diagram

To compute the weights (or masses) and volumes of the three different phases

11

Volume RelationshipsVoid ratio (e) is a measure of the void volume

12

Volume RelationshipsPorosity (n) is also a measure of the void volume expressed as a percentage

13

Volume RelationshipsDegree of saturation (S) is the percentage of the void volume filled by water

14

Weight RelationshipsWater content (w) is a measure of the waterpresent in the soil

15

Unit Weight Relationships

16

Unit Weight Relationships

17

Phase Relations

Consider a fraction of the soil where Vs = 1The other volumes canbe obtained from theprevious definitionsThe weights can be obtained from Weights = Unit Weights x Volume

18

Phase Relations

From the previous definitions

19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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2

Specific Gravity Gs

3

Phase Material

4

The Mineral Skeleton

5

Three Phase Diagram

6

Fully Saturated Soils

7

Dry Soils

8

Partly Saturated Soils

9

Phase Diagram

10

Objectives of a Phase Diagram

To compute the weights (or masses) and volumes of the three different phases

11

Volume RelationshipsVoid ratio (e) is a measure of the void volume

12

Volume RelationshipsPorosity (n) is also a measure of the void volume expressed as a percentage

13

Volume RelationshipsDegree of saturation (S) is the percentage of the void volume filled by water

14

Weight RelationshipsWater content (w) is a measure of the waterpresent in the soil

15

Unit Weight Relationships

16

Unit Weight Relationships

17

Phase Relations

Consider a fraction of the soil where Vs = 1The other volumes canbe obtained from theprevious definitionsThe weights can be obtained from Weights = Unit Weights x Volume

18

Phase Relations

From the previous definitions

19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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3

Phase Material

4

The Mineral Skeleton

5

Three Phase Diagram

6

Fully Saturated Soils

7

Dry Soils

8

Partly Saturated Soils

9

Phase Diagram

10

Objectives of a Phase Diagram

To compute the weights (or masses) and volumes of the three different phases

11

Volume RelationshipsVoid ratio (e) is a measure of the void volume

12

Volume RelationshipsPorosity (n) is also a measure of the void volume expressed as a percentage

13

Volume RelationshipsDegree of saturation (S) is the percentage of the void volume filled by water

14

Weight RelationshipsWater content (w) is a measure of the waterpresent in the soil

15

Unit Weight Relationships

16

Unit Weight Relationships

17

Phase Relations

Consider a fraction of the soil where Vs = 1The other volumes canbe obtained from theprevious definitionsThe weights can be obtained from Weights = Unit Weights x Volume

18

Phase Relations

From the previous definitions

19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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4

The Mineral Skeleton

5

Three Phase Diagram

6

Fully Saturated Soils

7

Dry Soils

8

Partly Saturated Soils

9

Phase Diagram

10

Objectives of a Phase Diagram

To compute the weights (or masses) and volumes of the three different phases

11

Volume RelationshipsVoid ratio (e) is a measure of the void volume

12

Volume RelationshipsPorosity (n) is also a measure of the void volume expressed as a percentage

13

Volume RelationshipsDegree of saturation (S) is the percentage of the void volume filled by water

14

Weight RelationshipsWater content (w) is a measure of the waterpresent in the soil

15

Unit Weight Relationships

16

Unit Weight Relationships

17

Phase Relations

Consider a fraction of the soil where Vs = 1The other volumes canbe obtained from theprevious definitionsThe weights can be obtained from Weights = Unit Weights x Volume

18

Phase Relations

From the previous definitions

19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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5

Three Phase Diagram

6

Fully Saturated Soils

7

Dry Soils

8

Partly Saturated Soils

9

Phase Diagram

10

Objectives of a Phase Diagram

To compute the weights (or masses) and volumes of the three different phases

11

Volume RelationshipsVoid ratio (e) is a measure of the void volume

12

Volume RelationshipsPorosity (n) is also a measure of the void volume expressed as a percentage

13

Volume RelationshipsDegree of saturation (S) is the percentage of the void volume filled by water

14

Weight RelationshipsWater content (w) is a measure of the waterpresent in the soil

15

Unit Weight Relationships

16

Unit Weight Relationships

17

Phase Relations

Consider a fraction of the soil where Vs = 1The other volumes canbe obtained from theprevious definitionsThe weights can be obtained from Weights = Unit Weights x Volume

18

Phase Relations

From the previous definitions

19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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6

Fully Saturated Soils

7

Dry Soils

8

Partly Saturated Soils

9

Phase Diagram

10

Objectives of a Phase Diagram

To compute the weights (or masses) and volumes of the three different phases

11

Volume RelationshipsVoid ratio (e) is a measure of the void volume

12

Volume RelationshipsPorosity (n) is also a measure of the void volume expressed as a percentage

13

Volume RelationshipsDegree of saturation (S) is the percentage of the void volume filled by water

14

Weight RelationshipsWater content (w) is a measure of the waterpresent in the soil

15

Unit Weight Relationships

16

Unit Weight Relationships

17

Phase Relations

Consider a fraction of the soil where Vs = 1The other volumes canbe obtained from theprevious definitionsThe weights can be obtained from Weights = Unit Weights x Volume

18

Phase Relations

From the previous definitions

19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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7

Dry Soils

8

Partly Saturated Soils

9

Phase Diagram

10

Objectives of a Phase Diagram

To compute the weights (or masses) and volumes of the three different phases

11

Volume RelationshipsVoid ratio (e) is a measure of the void volume

12

Volume RelationshipsPorosity (n) is also a measure of the void volume expressed as a percentage

13

Volume RelationshipsDegree of saturation (S) is the percentage of the void volume filled by water

14

Weight RelationshipsWater content (w) is a measure of the waterpresent in the soil

15

Unit Weight Relationships

16

Unit Weight Relationships

17

Phase Relations

Consider a fraction of the soil where Vs = 1The other volumes canbe obtained from theprevious definitionsThe weights can be obtained from Weights = Unit Weights x Volume

18

Phase Relations

From the previous definitions

19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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8

Partly Saturated Soils

9

Phase Diagram

10

Objectives of a Phase Diagram

To compute the weights (or masses) and volumes of the three different phases

11

Volume RelationshipsVoid ratio (e) is a measure of the void volume

12

Volume RelationshipsPorosity (n) is also a measure of the void volume expressed as a percentage

13

Volume RelationshipsDegree of saturation (S) is the percentage of the void volume filled by water

14

Weight RelationshipsWater content (w) is a measure of the waterpresent in the soil

15

Unit Weight Relationships

16

Unit Weight Relationships

17

Phase Relations

Consider a fraction of the soil where Vs = 1The other volumes canbe obtained from theprevious definitionsThe weights can be obtained from Weights = Unit Weights x Volume

18

Phase Relations

From the previous definitions

19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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9

Phase Diagram

10

Objectives of a Phase Diagram

To compute the weights (or masses) and volumes of the three different phases

11

Volume RelationshipsVoid ratio (e) is a measure of the void volume

12

Volume RelationshipsPorosity (n) is also a measure of the void volume expressed as a percentage

13

Volume RelationshipsDegree of saturation (S) is the percentage of the void volume filled by water

14

Weight RelationshipsWater content (w) is a measure of the waterpresent in the soil

15

Unit Weight Relationships

16

Unit Weight Relationships

17

Phase Relations

Consider a fraction of the soil where Vs = 1The other volumes canbe obtained from theprevious definitionsThe weights can be obtained from Weights = Unit Weights x Volume

18

Phase Relations

From the previous definitions

19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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10

Objectives of a Phase Diagram

To compute the weights (or masses) and volumes of the three different phases

11

Volume RelationshipsVoid ratio (e) is a measure of the void volume

12

Volume RelationshipsPorosity (n) is also a measure of the void volume expressed as a percentage

13

Volume RelationshipsDegree of saturation (S) is the percentage of the void volume filled by water

14

Weight RelationshipsWater content (w) is a measure of the waterpresent in the soil

15

Unit Weight Relationships

16

Unit Weight Relationships

17

Phase Relations

Consider a fraction of the soil where Vs = 1The other volumes canbe obtained from theprevious definitionsThe weights can be obtained from Weights = Unit Weights x Volume

18

Phase Relations

From the previous definitions

19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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11

Volume RelationshipsVoid ratio (e) is a measure of the void volume

12

Volume RelationshipsPorosity (n) is also a measure of the void volume expressed as a percentage

13

Volume RelationshipsDegree of saturation (S) is the percentage of the void volume filled by water

14

Weight RelationshipsWater content (w) is a measure of the waterpresent in the soil

15

Unit Weight Relationships

16

Unit Weight Relationships

17

Phase Relations

Consider a fraction of the soil where Vs = 1The other volumes canbe obtained from theprevious definitionsThe weights can be obtained from Weights = Unit Weights x Volume

18

Phase Relations

From the previous definitions

19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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12

Volume RelationshipsPorosity (n) is also a measure of the void volume expressed as a percentage

13

Volume RelationshipsDegree of saturation (S) is the percentage of the void volume filled by water

14

Weight RelationshipsWater content (w) is a measure of the waterpresent in the soil

15

Unit Weight Relationships

16

Unit Weight Relationships

17

Phase Relations

Consider a fraction of the soil where Vs = 1The other volumes canbe obtained from theprevious definitionsThe weights can be obtained from Weights = Unit Weights x Volume

18

Phase Relations

From the previous definitions

19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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13

Volume RelationshipsDegree of saturation (S) is the percentage of the void volume filled by water

14

Weight RelationshipsWater content (w) is a measure of the waterpresent in the soil

15

Unit Weight Relationships

16

Unit Weight Relationships

17

Phase Relations

Consider a fraction of the soil where Vs = 1The other volumes canbe obtained from theprevious definitionsThe weights can be obtained from Weights = Unit Weights x Volume

18

Phase Relations

From the previous definitions

19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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14

Weight RelationshipsWater content (w) is a measure of the waterpresent in the soil

15

Unit Weight Relationships

16

Unit Weight Relationships

17

Phase Relations

Consider a fraction of the soil where Vs = 1The other volumes canbe obtained from theprevious definitionsThe weights can be obtained from Weights = Unit Weights x Volume

18

Phase Relations

From the previous definitions

19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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15

Unit Weight Relationships

16

Unit Weight Relationships

17

Phase Relations

Consider a fraction of the soil where Vs = 1The other volumes canbe obtained from theprevious definitionsThe weights can be obtained from Weights = Unit Weights x Volume

18

Phase Relations

From the previous definitions

19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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16

Unit Weight Relationships

17

Phase Relations

Consider a fraction of the soil where Vs = 1The other volumes canbe obtained from theprevious definitionsThe weights can be obtained from Weights = Unit Weights x Volume

18

Phase Relations

From the previous definitions

19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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17

Phase Relations

Consider a fraction of the soil where Vs = 1The other volumes canbe obtained from theprevious definitionsThe weights can be obtained from Weights = Unit Weights x Volume

18

Phase Relations

From the previous definitions

19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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18

Phase Relations

From the previous definitions

19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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19

Phase Relations

20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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20

Definitions

Bulk (natural) saturated dry and submergeddensities (ρ) are defined in a similar mannerHere you can also use mass (kg) instead of weight (kN)γ g = ρ = MVWhereγ =Nm3 g= ms2 ρ = kgm3

21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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21

Specific Gravity

22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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22

Specific Gravity In Terms of Density

23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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23

Relationship between parameters

These definitions can be used to determine any desired relationships between above quantities and hence to determine void ratio degree of saturation etc That can not be measured directly by laboratory tests Some relationships are as follows

24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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24

Relationship between parameters

25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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25

A Gentle Reminder

Try not to memorize the equations Understandthe definitions and develop the relations from the phase diagram with VS = 11048698 Assume GS ( 26-28) when not given1048698 Do not mix densities and unit weights1048698 Soil grains are incompressible Their mass and volume remain the same at any void ratio

26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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26

A Gentle Reminder

27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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27

A Gentle Reminder

28

Practice Problems

ReadingsDAS Textbook

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28

Practice Problems

ReadingsDAS Textbook

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