High School

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 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:

The pressure of flowing water is calculated using the formula: Pressure (pcf) = Velocity of water (ft/s) * Unit weight of water (pcf) * Drag coefficient. The force applied can be determined by multiplying the pressure with the length of the bridge pier. The load applied on the concrete spread footing is calculated using the formula: Load (psf) = Unit weight of concrete (pcf) * Height (in feet). The force on the concrete wall form is calculated using the formula: Force (plf) = 0.00256 * Wind speed (mph) * Height (feet). The resultant force is calculated by multiplying the force with the length of the wall form. The maximum load of the soil layer is calculated by multiplying the unit weight of the soil with the thickness of the layer.

Explanation:

Calculating Pressure and Force of Flowing Water

To calculate the pressure and force of flowing water, we can use the given information:

First, let's calculate the pressure:

Pressure (pcf) = Velocity of water (ft/s) * Unit weight of water (pcf) * Drag coefficient

Substituting the given values:

Pressure = 15.5 ft/s * 62.4 pcf * 1.25

Now, let's calculate the force:

Force (pif) = Pressure (pcf) * Area (in square feet)

Since the dimensions of the bridge pier are not given, we cannot calculate the exact force. However, we can use the formula:

Force (pif) = Pressure (pcf) * Length of the bridge pier (in feet)

Now, let's move on to the next part of the question.

Calculating Load on Concrete Spread Footing

The dimensions of the concrete spread footing are given as:

The unit weight of concrete is given as 150 pcf.

To calculate the load applied on the concrete spread footing, we can use the formula:

Load (psf) = Unit weight of concrete (pcf) * Height (in feet)

Substituting the given values:

Load = 150 pcf * 1/12 feet

Now, let's move on to the next part of the question.

Calculating Force on Concrete Wall Form

The dimensions of the concrete wall form are given as:

The wind speed is given as 50 mph.

To calculate the force on the concrete wall form, we can use the formula:

Force (plf) = 0.00256 * Wind speed (mph) * Height (feet)

Substituting the given values:

Force = 0.00256 * 50 mph * 12 feet

Now, let's calculate the resultant force:

Resultant force (pounds) = Force (plf) * Length (feet)

Substituting the given values:

Resultant force = Force * 30 feet

Finally, let's move on to the last part of the question.

Calculating Maximum Load of Soil Layer

The thickness of the soil layer is given as 8 feet.

The unit weight of the soil is given as 118 pcf.

To calculate the maximum load of the soil layer, we can use the formula:

Maximum load (psf) = Unit weight of soil (pcf) * Thickness (feet)

Substituting the given values:

Maximum load = 118 pcf * 8 feet

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

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