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1. A cofferdam is installed around a bridge pier to perform repair work. Find the pressure (in pounds per cubic foot, pcf) of the flowing water and the force (in pounds per linear foot, plf) given the following:
- Velocity of water = 15.5 ft/s
- Unit weight of water = 62.4 pcf
- Drag coefficient = 1.25

2. A concrete spread footing has dimensions of 24″ wide by 24″ long by 1″ high. What is the load applied (in pounds per square foot, psf)? Assume the concrete has a unit weight of 150 pcf.

3. A concrete wall form is installed and has dimensions of 12 feet high and 30 feet long. It will be subject to a wind speed of 50 mph. Find the force (in pounds per linear foot, plf) and the resultant force (in pounds).

4. Calculate the maximum load (in pounds per square foot, psf) of a layer of soil that is 8 feet thick. The unit weight of the soil is 118 pcf.

Answer :

Final answer:

1. The pressure of the flowing water is 1215 pcf. The force cannot be calculated without the dimensions of the bridge pier.

2. The load applied on the concrete spread footing is 150 psf.

3. The force on the concrete wall form is 1.536 plf. The resultant force cannot be calculated without the angle at which the wind is hitting the wall.

4. The maximum load of the soil layer is 944 psf.

Explanation:

Calculating Pressure and Force

  1. For the first scenario, we have the velocity of water, unit weight of water, and drag coefficient. To calculate the pressure, we can use the formula:
    Pressure (pcf) = Unit weight of water (pcf) * Velocity of water (ft/s) * Drag coefficient
    Substituting the given values, we get:
    Pressure = 62.4 pcf * 15.5 ft/s * 1.25 = 1215 pcf
    To calculate the force, we need to know the area. Since the dimensions of the bridge pier are not given, we cannot calculate the force without this information.
  2. For the second scenario, we have the dimensions of the concrete spread footing and the unit weight of concrete. To calculate the load applied, we can use the formula:
    Load applied (psf) = Unit weight of concrete (pcf) * Height of footing (ft)
    Substituting the given values, we get:
    Load applied = 150 pcf * 1 ft = 150 psf
  3. For the third scenario, we have the dimensions of the concrete wall form and the wind speed. To calculate the force, we can use the formula:
    Force (plf) = 0.00256 * Wind speed (mph) * Height of wall (ft)
    Substituting the given values, we get:
    Force = 0.00256 * 50 mph * 12 ft = 1.536 plf
    To calculate the resultant force, we need to know the angle at which the wind is hitting the wall. Without this information, we cannot calculate the resultant force.
  4. For the fourth scenario, we have the thickness of the soil layer and the unit weight of soil. To calculate the maximum load, we can use the formula:
    Maximum load (psf) = Unit weight of soil (pcf) * Thickness of soil layer (ft)
    Substituting the given values, we get:
    Maximum load = 118 pcf * 8 ft = 944 psf

Learn more about calculating pressure, force, and load in engineering here:

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