Why Coulomb's Wedge Theory Ignores Earth Pressure at Rest

In summary, Coulomb's Wedge Theory of Earth Pressure only considers limit active and passive pressures, not pressure at rest. This is likely because 'at rest' lateral Earth pressure coefficients are not given as much attention as 'active' and 'passive' coefficients in foundation texts. For a non compacted dense sand, k_o is approximately 0.5, while k_a is 0.33 and k_p is 3.0. When subject to lateral loads, k_a and k_p govern, making k_o less relevant.
  • #1
whammy123
4
0
Hi! Can someone tell me why Coulomb in his Wedge Theory of Earth Pessure didn't take into considertion Earth pressure at rest? He cosnidered only limit active and passive pressures, but why didn't he write anything about pressure at rest? I 've looked up some books, but there is only the derivation of formulas for active and passive pressure, without any note about pressure at rest. Thanks for help in advance!
 
Physics news on Phys.org
  • #2
It's been awhile since I have looked at my aging foundation texts, but it is true that 'at rest' lateral Earth pressure coefficients (k_o) are not given as much attention as 'active' (k_a) and 'passive' (k_p) lateral Earth pressure coefficients. For a non compacted dense sand (in place) with an angle of internal friction of 30 degrees, K_o is about 0.5, k_a = 0.33, and k_p =3.0. The respective Earth pressures are these coefficients times the vertical soil pressure at a given point. When a retaining wall or other foundation is subject to lateral loads, small deflections result in k_a and k_p governing, which is probably why you don't hear too much about k_o.
 

FAQ: Why Coulomb's Wedge Theory Ignores Earth Pressure at Rest

Why is Coulomb's Wedge Theory important in geotechnical engineering?

Coulomb's Wedge Theory is important in geotechnical engineering because it provides a simplified method for analyzing the stability of slopes and retaining structures. It allows engineers to predict the critical failure plane and calculate the safety factor for a given slope or wall.

What is the main assumption made in Coulomb's Wedge Theory?

The main assumption made in Coulomb's Wedge Theory is that the soil is cohesionless and the failure plane is a straight line. This means that the soil does not have any internal strength or cohesion, and the failure surface is a simple linear plane.

Why does Coulomb's Wedge Theory ignore earth pressure at rest?

Coulomb's Wedge Theory ignores earth pressure at rest because it assumes that the soil is in a state of active stress, meaning that the soil is already moving or has the potential to move. In this state, the soil has no time to develop any passive or at-rest stresses.

What are the limitations of Coulomb's Wedge Theory?

One of the main limitations of Coulomb's Wedge Theory is that it does not take into account the effects of groundwater. It also assumes that the soil properties remain constant throughout the slope or retaining structure, which may not be the case in reality. Additionally, it only considers two-dimensional failure, whereas real slopes and retaining walls often have three-dimensional failure mechanisms.

Are there any alternatives to Coulomb's Wedge Theory?

Yes, there are alternative methods for analyzing slope stability and retaining structures, such as Bishop's method, Janbu's method, and Spencer's method. These methods may take into account additional factors, such as soil-water interaction and three-dimensional failure mechanisms, but they also have their own assumptions and limitations.

Similar threads

Replies
24
Views
3K
Replies
19
Views
2K
Replies
39
Views
11K
Replies
1
Views
1K
Replies
47
Views
4K
Replies
7
Views
2K
Replies
5
Views
1K
Back
Top