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The water side of the wall of a 100-m-long dam is a

Chapter 3, Problem 67P

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QUESTION:

Problem 67P

The water side of the wall of a 100-m-long dam is a quarter circle with a radius of 10 m. Determine the hydrostatic force on the dam and its line of action when the dam is filled to the rim.

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QUESTION:

Problem 67P

The water side of the wall of a 100-m-long dam is a quarter circle with a radius of 10 m. Determine the hydrostatic force on the dam and its line of action when the dam is filled to the rim.

ANSWER:

Solution 67P

Step 1

In this problem, there is a dam having a shape of a quarter circle having radius 10 m. The water side of the wall of the dam is having a length of 100 m. We have to determine the hydrostatic pressure acting on the dam when the water is filled up to the rim.

So, we can draw a diagram to represent the cross section of the dam.

As per the diagram, we can see that, there are two forces acting on the dam, which are horizontal and vertical forces.

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