Faculty of Applied Engineering and Urban Planning Civil Engineering Department Soil Mechanics ECGD3303 Weight-Volume Relationships Lecture 3 Week 2 1 st.

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Presentation transcript:

Faculty of Applied Engineering and Urban Planning Civil Engineering Department Soil Mechanics ECGD3303 Weight-Volume Relationships Lecture 3 Week 2 1 st Quadester 2007/2008 UP Copyrights 2007

Content Phase Diagram Specific Gravity Volume and Weight Relationships (Porosity, Saturation, Void Ratio, Moisture Content, Unit Weight) Relationships Relative Density

Specific Gravity GsGs is defined as the ratio of the unit weight of a given material to the unit weight of water.

Specific Gravity

Phase Diagram Air Water Solids 3 Phase System

Phase Diagram Air Solids 2 Phase System (Dry)

Phase Diagram Water Solids 2 Phase System (Saturated)

Phase Diagram

WTotal WeightVTotal Volume W w Water WeightV w Water Volume W s Solids WeightV s Solids Volume W a Air Weight = 0V a Air Volume

Phase Diagram W= W w +W s V=V s +V w +V a V v =V w +V a V=V s +V v

Volume Relationships Porosity (n) Void Ratio ( e ) Degree of Saturation ( S ) Prove!!

Volume Relationships Moisture Content (w) Unit Weight ( γ ) Dry Unit Weight ( γ d ) Prove!!

Questions?!

Basic Relations

γ, e, w, G s Relationships Solids Weight in Terms of Specific Gravity G s Water Weight in Terms of Specific Gravity G s

γ, e, w, G s Relationships Soil Unit Weight Divide by V s

γ, e, w, G s Relationships With the same substitution for W s we got: Dry Unit Weight Void Ratio Saturation

γ, e, w, G s Relationships Group Work Prove that for Saturation Condition:

Questions?!

Soil Unit Weight Divide by V s γ, n, w, G s Relationships Substitute for (e) by

Soil Unit Weight γ, n, w, G s Relationships Dry Soil Unit Weight (w=0) Saturated Soil Unit Weight (W w = nV)

Questions?!

Various Unit-Weight Relationships

Typical Values

Example 3.2

Example 3.4