STRUCTURAL ENGINEERING

RANKINE PASSIVE CONDITION: CODUTO AND BOWLES

Donald P.Coduto

Resting Side (Passive Pressure Coefficient using Rankines Equation. Foundation Design Principles and Practice, Second Edition, Donald P. Coduto, Equations 23-11, 23-12 and 23-13.

Rankines Theory for soils with c = 0 and ( 0. The resultant of the normal and shear forces that act on the back of the wall is inclined at an angle parallel to the ground surface.

Normal force between soil and wall per unit length of wall:

[Equation 23.11]

Shear force between soil and wall per unit length of wall:

[Equation 23.12]

Passive coefficient of lateral earth pressure:

[Equation 23.13]Inclination of ground surface above wall:

Effective Friction Angle:

Unit Weight:

Wall height:

JOSEPH E. BOWLES

Driving Side (Active Pressure Coefficient using Rankines Equation, Foundation Analysis and Design, Fifth Edition, Joseph E. Bowles, Equation 11-3.

Force at a wall angle of :

[Equation 11-9]

Horizontal Force Component (Bowles, page 603):

Vertical Force Component (Bowles, page 603):

Active Coefficient of lateral earth pressure (I placed cos() in front of this equation based on Bowles explanation):

[Equation 11-8a]Inclination of ground surface above wall:

Effective Friction Angle:

Unit Weight:

Wall height:

Agrees, with Bowles, Table 11-4.

Pb/b

Vb/b

1

Structural Engineering.doc

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