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CE 3305 Engineering Fluid Mechanics
Spring 2024 Exercise Set 4

LAST NAME, FIRST NAME

R00000000

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Purpose :

Application of static pressure to find forces on submerged plates.

Assessment Criteria :

Completion, plausible solutions, use of Jupyter Notebook as a calculator/documentation method

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Problem 1.

Figure 1 is a schematic of a panel at the bottom of a tank filled with water. The panel is square. The distance from the free surface to the top of the panel is d = 1 m, and h = 2 m.

Figure 1. Panel at bottom of a tank

Find:

• the depth to the centroid of the panel.
• the resultant force on the panel.
• the distance from the centroid to the center of pressure.

# sketch here

# list known quantities

# list unknown quantities

# governing principles

# solution (step-by-step)

# discussion

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Problem 2.

Figure 2 is a schematic of a hinged gate with the hinge at the waterline. The gate is 4 ft high and 8 ft wide. The specific weight of water is $62.4~\frac{lbf}{ft^3}$

Figure 2: Hinged gate

Find the required force (in lbf) applied at the bottom of the gate to keep it shut.

# sketch here

# list known quantities

# list unknown quantities

# governing principles

# solution (step-by-step)

# discussion

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