## Foundation Design Examples

Bearing Pressure in Shallow Foundations

**Example 2 - Calculating the bearing pressure on a continuous footing subjected to a vertical wall load**

A continuous footing that is 0.75 m wide supports a vertical wall loading of 120 kN/m. The distance from the ground surface to the bottom of the footing is 0.6 m. If the groundwater table is 15 m below the ground surface, calculate the bearing pressure.

**Example 4 - Calculating the bearing pressure on a continuous footing subjected to vertical load and overturning moment**

The mat foundation shown in the figure below has a width of 50 m, length of 75 m, and thickness of 1.5 m. The combined column and wall loads is 1000 MN. Calculate the average bearing pressure.

Retaining Walls

**Example 1 - Calculating the Factor of Safety for Overturning and Sliding, Semigravity Retaining Wall**

For the semigravity plain concrete retaining wall shown below, calculate the factor of safety against overturning and sliding given the following parameters:

Cohesionless soil

Weight of Backfill: 110 lbs/ft^3

Angle of Internal Friction for Soil: 35 degrees

Coefficient of Friction Between Concrete and Soil: 0.45

Weight of Plain Concrete: 145 lb/ft^3

**Example 2 - Calculating the Factor of Safety for Overturning and Sliding, Cantilever Retaining Wall**

For the reinforced concrete cantilever retaining wall shown below, calculate the factor of safety against overturning and sliding given the following parameters:

Cohesionless soil, c = 0

Weight of Backfill: 110 lbs/ft^3

Angle of Internal Friction: 30 degrees

Coefficient of Friction Between Concrete and Soil: 0.5

Weight of Reinforced Concrete: 150 lb/ft^3

**Example 3 - Calculating the Factor of Safety for Overturning and Sliding, Cantilever Retaining Wall with Surcharge Loading**

For the reinforced concrete cantilever retaining wall shown below, calculate the factor of safety against overturning and sliding given the following parameters:

Cohesionless soil, c = 0

Uniform Surcharge Load: 150 lb/ft^2, extends along entire length of the wall

Width of Surcharge Load: 10 ft

Unit Weight of Backfill: 110 lbs/ft^3

Angle of Internal Friction: 30 degrees

Coefficient of Friction Between Concrete and Soil: 0.5

Weight of Reinforced Concrete: 150 lb/ft^3