Retaining wall - various calculations

In summary, we have a mass retaining wall made of concrete with specific weight 24kN/m3 and dimensions of 0.4 m thick at the top, 0.8 m thick at the base, and 1.6 m high. It is holding back Earth with a specific weight of 18kN/m3 and an angle of internal friction of 20˚. The coefficient of friction under the base of the wall is 0.7. We need to calculate the factor of safety against sliding and overturning, as well as the minimum and maximum stresses on the soil under the wall. We also need to determine the net increase in bearing stress under the toe of the wall if the retained surface is the original
  • #1
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A mass retaining wall having a vertical rear face is 0.4 m thick at the top and 0.8m thick at the base, is1.6m high and made of concrete of specific weight 24kN/m3. It holds back Earth with a specific weight of 18kN/m3 and an angle of internal friction of 20˚. The coefficient of friction under the base of the wall is 0.7.

(a) calculate the factor of safety against sliding

(b) calculate the factor of safety against overturning

(c) calculate the minimum and maximum stresses to which the soil under the wall
is subjected

(d) what is the net increase in bearing stress under the toe of the wall if the
retained surface is the original ground level?


I don't seem to be able to find any equations to apply. Please help.

Thanks
 
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  • #2
Can you draw the pressure distribution at the back of the wall, and put values to it? Can you calculate the weight of a 1 m length of wall and locate its centroid?
 

1. What is the purpose of a retaining wall?

A retaining wall is a structure designed to hold back or retain soil and other materials from a slope or elevation. It is typically used to prevent erosion and provide support for vertical or near-vertical grade changes.

2. How do you calculate the necessary dimensions for a retaining wall?

The dimensions of a retaining wall are determined by several factors, including the height and weight of the soil it needs to hold back, the type of soil, and the slope of the ground. A structural engineer or geotechnical engineer can use calculations and equations based on these factors to determine the appropriate dimensions for a retaining wall.

3. What materials are commonly used for retaining walls?

The most common materials used for retaining walls include concrete, stone, brick, and timber. Each material has its own advantages and disadvantages, and the choice will depend on factors such as cost, site conditions, and aesthetic preferences.

4. How do you ensure the stability of a retaining wall?

To ensure the stability of a retaining wall, proper design and construction techniques must be followed. These may include proper foundation preparation, adequate drainage, and reinforcement with materials such as steel or geotextiles. It is also important to regularly inspect and maintain the wall to prevent any potential failures.

5. Are there any regulations or codes that need to be followed when constructing a retaining wall?

Yes, there are building codes and regulations that must be followed when constructing a retaining wall. These may vary depending on the location and height of the wall. It is important to consult with local authorities and obtain any necessary permits before beginning construction.

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