*expand_more*

*expand_more*

*format_list_bulleted*

*thumb_up*100%

The magnitude and location of the hydrostatic force on the vertical rectangular plate.

## Answer to Problem 3.6.1P

__and __

### Explanation of Solution

**Given:**

Length of the rectangular plate = 4 m

Width of the rectangular plate = 2 m

**Formula used:**

where, F is the hydrostatic force

A is the surface area

**Calculation:**

The given figure is shown below:

The vertical distance to the centroid is calculated as:

The hydrostatic force is calculated as:

The location of the hydrostatic force is calculated as:

**Conclusion:**

The magnitude and location of the hydrostatic force on the vertical rectangular plate are

### Want to see more full solutions like this?

*schedule*02:22

# Chapter 3 Solutions

WATER RESOURCES ENGINEERING

- Gate AB in the figure is semi-circular, hinged at B. Unit weight of water is 9.79 kN/m³. What is the location of hydrostatic force from the hinge B? 6m. 4m 1.698 P B Hinged
*arrow_forward*The submerged sector gate AB shown in the figure below is one-sixth of a circle of radius 870 cm. The length of the gate is 8.7 m. a, Determine the horizontal component of the total hydrostatic force acting on the gate. b. Determine the vertical component of the total hydrostatic force acting on the gate. c. Determine the total hydrostatic force acting on the gate and its line of action. d. Determine the depth in which the horizontal component of the total hydrostatic force will act with respect to the liquid surface. B water A 65° 870 cm*arrow_forward*A vertical rectangular gate 1.7 m wide and 3 m high is submerged in oil bottom edge surface. Determine the following: (s=0.80) with below its oil submerged 2.3 the m a. Total hydrostatic force acting on one side of the gate. b. Location of the said force from the liquid surface.*arrow_forward* - An inclined square gate of 2.8 m length with water on one side is shown in the figure below. Find the resulting hydrostatic force acting on the gate and the location of the center of the pressure. Clearly show, on the figure, the acting location of the resulting force with respect to the center of the gate. 2 m reservoir gate 36°
*arrow_forward*2. A triangular gate with a width equivalent to 1.5 m and its height is 3 m is submerged inversely in oil with a Gg = 0.82, with the base at the top from a depth of 2 meters from the surface. Determine the magnitude and location of the total hydrostatic force acting on one side of the gate. %3D*arrow_forward*A 3 m high, 6 m wide rectangular gate is hinged at the top edge at A an is restrained by a fixed ridge at Bas shown in Figure Q1(d). Calculate the hydrostatic force exerted on the gate by the 5 m high water and determine the location of the pressure center.*arrow_forward* - The crest gate on the dam (refer to figure) forms the arc of a circle of 3m radius subtending 45° at the hinge. The gate is 3m long. With water surface at as shown, compute the amount and location of horizontal and vertical components of hydrostatic pressure on the gate.
*arrow_forward*A vertical, trapezoidal gate in the face of a dike is subjected to sea water pressure (s = 1.3) on one side. The upper edge is in the water surface and is 1.577 meters long. Two edges are vertical and measured 2.77 meters and 3.77 meters each. Determine the total pressure on the gate and the location of the center of pressure.*arrow_forward*Determine the magnitude and location of the total hydrostatic force acting on the 2m x 4m gate shown in the figure. Ans. F= 733.16kN, 1.844m from the bottom of the tank parallel to the gate*arrow_forward* - A square gate (2m on each side) is submerged vertically in water such that the upper edge of the gateis at a depth of 0.5 m from the watersurface. Draw the figure and find the hydrostatic force and the location of the center of pressure.
*arrow_forward*A vertical plate shown is submerged in vinegar having a specific gravity of 0.80. Assume unit weight of water is 9.79 kN/m³. 2 m 3 m A1 4 m Az 3 m 2 m 4. Find the depth of the center of pressure of section A¡ from the liquid surface. 5. Find the magnitude of the hydrostatic force on one side of the plate. 6. Find the depth of the center of pressure of the whole section from the liquid surface.*arrow_forward*Determine the magnitude of the total hydrostatic force acting on a vertical triangular gate submerged in the ocean having its top base at a depth of 3 m. The top base horizontal is 1.2 m wide and its height is 2.4 m. Select the correct response*arrow_forward*

*arrow_back_ios*

*arrow_forward_ios*

- Structural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSONPrinciples of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
- Fundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill EducationTraffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning