# How do you calculate earth pressure on a retaining wall?

## How do you calculate earth pressure on a retaining wall?

Active and passive earth pressure Rankine’s theory states in general terms that the active earth pressure coefficient is: The active earth pressure at a depth h (m) due to a level fill of soil is therefore: The passive earth pressure (Ep), which equals Kp× h where Kp = the coefficient of passive earth pressure.

What is Rankine theory of earth pressure?

Rankine’s Theory assumes that failure will occur when the maximum principal stress at any point reaches a value equal to the tensile stress in a simple tension specimen at failure. This theory does not take into account the effect of the other two principal stresses.

### How do you calculate earth’s pressure at rest?

Coefficient of earth pressure at rest is given by

1. k0 = 1 – sin ϕ /1 + sin ϕ
2. k0 = 1 – sin ϕ
3. k0 = 1 + sin ϕ /1 – sin ϕ
4. k0 = 1 + sin ϕ

How do you calculate passive pressure on a retaining wall?

How do you calculate the passive pressure? The passive resistance is the area of the passive pressure diagram, which is a triangle. If the distance from the top of the front soil to the bottom of the shear key is H, then the pressure at the base is Kp*γ*H, where γ is the soil density.

## What are the formula for Rankine’s theory?

Vertical distance of total active earth pressure above the base of the wall = y̅. For a triangular pressure distribution, we know that y̅ = (H/3) above the base of the wall. The failure plane makes an angle of α = 45 + (ɸ/2) with the major principal plane.

What is the difference between Rankine and Coulomb?

Compare Rankine’s and Coulomb’s lateral earth pressure theories….Welcome back.

Rankine Earth Pressure theory Coulomb’s Earth Pressure Theory
We can find both active and passive earth pressure. It is not suitable for passive stage.
This is related to plastic equilibrium This is related to elastic equilibrium.

### What is at rest pressure on retaining wall?

The at rest pressure develops when the wall experiences no lateral movement. This typically occurs when the wall is restrained from movement such as along a basement wall that is restrained at the bottom by a slab and at the top by a floor framing system prior to placing soil backfill against the wall.

How do you calculate passive earth pressure?

## What are the types of earth pressure on a retaining wall?

There are three types of earth pressures on the basis of the movement of the wall.

• Earth Pressure at rest.
• Active Earth Pressure.
• Passive Earth Pressure.

What is the Rankine’s formula to determine the ultimate bearing capacity of soil?

The Rankine’s formula q γ [ 1 − sin ⁡ ϕ 1 + sin ⁡ is used to calculate.

### What is coefficient of active earth pressure?

Active earth pressure coefficient (Ka): It is the ratio of horizontal and vertical principal effective stresses when a retaining wall moves away (by a small amount) from the retained soil. K a = 1 − sin ⁡ ( ϕ ) 1 + sin ⁡ ( ϕ ) = tan 2 ( 45 − ϕ 2 ) .

What is the main difference between the conditions assumed in Rankine and Coulomb solutions for retaining wall analysis?

1 Answer. Show activity on this post. The primary difference between Rankine and Coulomb earth pressure theories is that Coulomb’s considers a frictional retaining wall. In other words, the interface between the soil and the retaining wall is not assumed frictionless (as it is in Rankine theory).

## What is passive earth pressure in retaining wall?

Passive pressure is a condition in which the retaining system exerts a force on the soil. Since soils have a greater passive resistance, the earth pressures are not the same for active and passive conditions.

What is Ka in retaining wall?

Active earth pressure coefficient (Ka): It is the ratio of horizontal and vertical principal effective stresses when a retaining wall moves away (by a small amount) from the retained soil.

### How do you find the bearing capacity of a foundation from Rankine’s analysis?

Rankine’s Formula

1. Df = P/ γ (1-SinႴ/1+SinႴ)2
2. Df – Minimum depth of foundation in meters.
3. P – the Bearing capacity of the soil in KN/m2
4. γ – Density of soil or the unit weight of the soil in KN/m3
5. Ⴔ – The angle of repose soil.

What is the basic difference between the ultimate bearing capacity of foundation calculation using terzaghi and Meyerhof’s proposed method?

For lower depth bearing capacity calculated by Terzaghi’s approach was greater than Meyerhof’s technique, and as depth increased, bearing capacity calculated by Meyerhof’s approach was greater for clayey type soil. Terzaghi’s method calculated less bearing capacity for granular t ype soil than Meyerhof’s method.

## How do you calculate active earth pressure in Rankine theory?

The simple principle for the determination of active earth pressure at any level in Rankine’s theory is to multiply the vertical stress at that depth with the Rankine’s coefficient of active earth pressure. Vertical stress at any depth below the top of the backfill –.

What is lateral earth pressure Rankine?

ii. Lateral earth pressure (p a ). Assuming the back of the wall as smooth and vertical, Rankine considered that the active earth pressure (p a) acts horizontally for a backfill with a horizontal surface [Fig. 15.7 (a)]. In the active case, the vertical stress is more than the horizontal stress.

### What is the difference between Coulomb and Rankine’s theory of soil pressure?

Rankine considered soil in a state of plastic equilibrium and used essentially the same assumptions as Coulomb , except that he assumed no wall friction or soil cohesion. There are two commonly uses lateral earth pressure theories: Coulomb (1776) and Rankine (1857). Rankine active earth pressure coefficient: For the case where beta = 0:

What is Rankine equilibrium?

Rankine (1857) considered the equilibrium of a soil element at any depth (h) in the backfill behind a retaining wall and determined the active earth pressure. Rankine assumed that the soil element is subjected to only two types of stresses: i.