Hydrostatic Force Calculations

The video tutorial explains how to calculate hydrostatic forces on a curved gate with a circular profile. It begins with an introduction to the problem, followed by a detailed explanation of the free body diagram. The tutorial then covers the calculation of horizontal and vertical hydrostatic forces, including the weight of the fluid. It concludes with determining the line of action and resultant force, and discusses an alternative approach to solving the problem.

What is the shape of the gate considered in the hydrostatic force calculation?

• Elliptical

• Circular

• Triangular

• Rectangular

What is the radius of the circular gate?

• 7 meters

• 6 meters

• 5 meters

• 4 meters

What is the first step in solving hydrostatic force problems on a curved gate?

• Find the resultant force

• Determine the line of action

• Draw a free body diagram

• Calculate the weight of the fluid

In the free body diagram, what does FH represent?

• Reaction force

• Weight of the fluid

• Horizontal force

• Vertical force

What is the depth of the centroid from the free surface for the horizontal force calculation?

• 4 meters

• 2 meters

• 5 meters

• 3 meters

What is the area of the surface AD used in the horizontal force calculation?

• 4 square meters

• 7 square meters

• 5 square meters

• 6 square meters

What is the value of gamma used for water in the calculations?

• 9700 N/m³

• 9900 N/m³

• 9800 N/m³

• 9600 N/m³

What is the vertical force FV a result of?

• Only the reaction force

• Both the hydrostatic force and the weight

• Only the horizontal force

• Only the weight of the fluid

What is the calculated weight of the fluid element W?

• 7671 kN

• 7571 kN

• 7471 kN

• 7371 kN

What is the resultant force F on the gate?

• 328 kN

• 318 kN

• 348 kN

• 338 kN