Faculty of Applied Engineering and Urban Planning Civil Engineering Department Soil Mechanics ECGD3303 Stresses in a Soil Mass Lecture 15 Week 8 1st Quadester 2007/2008 UP Copyrights 2007

Outline Stress Caused by a Point Load Vertical Stress Caused by a Line Load Vertical Stress Caused by a Strip Load Vertical Stress Due to Embankment Load Vertical Stress Below the Center of a Uniformly Loaded Circular Area Vertical Stress at any Point Below a Uniformly Loaded Circular Area Vertical Stress Caused by a Rectangularly Loaded Area Influence Chart for Vertical Pressure

Normal and Shear Stresses in a Plane

Normal and Shear Stresses in a Plane

Progress Stress Caused by a Point Load Vertical Stress Caused by a Line Load Vertical Stress Caused by a Strip Load Vertical Stress Due to Embankment Load Vertical Stress Below the Center of a Uniformly Loaded Circular Area Vertical Stress at any Point Below a Uniformly Loaded Circular Area Vertical Stress Caused by a Rectangularly Loaded Area Influence Chart for Vertical Pressure

Stress Caused by a Point Load

Stress Caused by a Point Load Control Parameters P, r, z Equation Where

Stress Caused by a Point Load Table Used for I1 Table 9.1 ~ ~ ~ ~

Stress Caused by a Point Load (Example)

Stress Caused by a Point Load (Example)

Progress Stress Caused by a Point Load Vertical Stress Caused by a Line Load Vertical Stress Caused by a Strip Load Vertical Stress Due to Embankment Load Vertical Stress Below the Center of a Uniformly Loaded Circular Area Vertical Stress at any Point Below a Uniformly Loaded Circular Area Vertical Stress Caused by a Rectangularly Loaded Area Influence Chart for Vertical Pressure

Stress Caused by a Line Load

Stress Caused by a Line Load Control Parameters q, x, z Equation Can be rewritten as:

Stress Caused by a Line Load Table Used for Δσz/(q/z) Table 9.2

Stress Caused by a Line Load (Example)

Stress Caused by a Line Load (Example)

Progress Stress Caused by a Point Load Vertical Stress Caused by a Line Load Vertical Stress Caused by a Strip Load Vertical Stress Due to Embankment Load Vertical Stress Below the Center of a Uniformly Loaded Circular Area Vertical Stress at any Point Below a Uniformly Loaded Circular Area Vertical Stress Caused by a Rectangularly Loaded Area Influence Chart for Vertical Pressure

Stress Caused by a Strip Load

Stress Caused by a Line Load Control Parameters B, q, x, z Equation

Stress Caused by a Strip Load Table Used for Δσz/q Table 9.3

Stress Caused by a Strip Load Table Used for Δσz/q Table 9.3

Stress Caused by a Strip Load (Example)

Progress Stress Caused by a Point Load Vertical Stress Caused by a Line Load Vertical Stress Caused by a Strip Load Vertical Stress Due to Embankment Load Vertical Stress Below the Center of a Uniformly Loaded Circular Area Vertical Stress at any Point Below a Uniformly Loaded Circular Area Vertical Stress Caused by a Rectangularly Loaded Area Influence Chart for Vertical Pressure

Stress Caused by an Embankment Load

Stress Caused by an Embankment Load Control Parameters B1, B2, q, z Equation

Stress Caused by an Embankment Load Chart Used for I2 Figure 9.11

Stress Caused by an Embankment Load

Stress Caused by an Embankment Load

Stress Caused by an Embankment Load

Stress Caused by an Embankment Load

Stress Caused by an Embankment Load

Stress Caused by an Embankment Load

Progress Stress Caused by a Point Load Vertical Stress Caused by a Line Load Vertical Stress Caused by a Strip Load Vertical Stress Due to Embankment Load Vertical Stress Below the Center of a Uniformly Loaded Circular Area Vertical Stress at any Point Below a Uniformly Loaded Circular Area Vertical Stress Caused by a Rectangularly Loaded Area Influence Chart for Vertical Pressure

Vertical Stress Below the Center of a Uniformly Loaded Circular Area

Vertical Stress Below the Center of a Uniformly Loaded Circular Area Control Parameters q, R, z Equation

Vertical Stress Below the Center of a Uniformly Loaded Circular Area Table Used for Δσz/q Chart Used for Δσz/q Table 9.4 Figure 9.14

Progress Stress Caused by a Point Load Vertical Stress Caused by a Line Load Vertical Stress Caused by a Strip Load Vertical Stress Due to Embankment Load Vertical Stress Below the Center of a Uniformly Loaded Circular Area Vertical Stress at any Point Below a Uniformly Loaded Circular Area Vertical Stress Caused by a Rectangularly Loaded Area Influence Chart for Vertical Pressure

Vertical Stress at any Point Below a Uniformly Loaded Circular Area

Vertical Stress at any Point Below a Uniformly Loaded Circular Area Control Parameters q, R, r, z Equation A' and B' are functions of z/R and r/R.

Vertical Stress at any Point Below a Uniformly Loaded Circular Area Table Used for A’ Table 9.5 Table Used for B’ Table 9.6

Progress Stress Caused by a Point Load Vertical Stress Caused by a Line Load Vertical Stress Caused by a Strip Load Vertical Stress Due to Embankment Load Vertical Stress Below the Center of a Uniformly Loaded Circular Area Vertical Stress at any Point Below a Uniformly Loaded Circular Area Vertical Stress Caused by a Rectangularly Loaded Area Influence Chart for Vertical Pressure

Vertical Stress Caused by a Rectangularly Loaded Area

Vertical Stress Caused by a Rectangularly Loaded Area Control Parameters q, B, L, z Equation Δσ = q I3

Vertical Stress Caused by a Rectangularly Loaded Area Table Used for I3 Table 9.7

Vertical Stress Caused by a Rectangularly Loaded Area

Vertical Stress Caused by a Rectangularly Loaded Area If point is located at center

Vertical Stress at any Point Below a Uniformly Loaded Circular Area Control Parameters q, B, L, z Equation Δσ = q I4