A uniform rectangular gate AB of 4 m long and 3 m wide is rested at the exit of anoil tank as shown in Fig C.7 below. The gate is hinged at A and inclined at 50° tohorizontal. The depth of oil inside the tank is 6 m while the depth of water outsideis 2 m. Determine the self-weight of the gate in order to keep the gate close. Thedensity of oil is 975 kg/m³.C.7Gate6 mOilWater2 m50°ВFig. C.7

Hydrostatic force: - It is defined as a force caused by liquid on a submerged body.

Answered: Determine the self-weight of the gate…

Engineering

Civil Engineering

Determine the self-weight of the gate in order to keep the gate close.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Laws of Equilibrium

A body is said to be in equilibrium if the system of forces acting on the body tends to keep the body at rest, in other words, there is no translation motion or net torque on the body. Under such conditions, the equilibrium conditions are to be applied to analyze the condition. The branch of mechanics that deals with this condition is known as 'statics'. Under equilibrium, there are no net forces on the body.

Question

A uniform rectangular gate AB of 4 m long and 3 m wide is rested at the exit of an
oil tank as shown in Fig C.7 below. The gate is hinged at A and inclined at 50° to
horizontal. The depth of oil inside the tank is 6 m while the depth of water outside
is 2 m. Determine the self-weight of the gate in order to keep the gate close. The
density of oil is 975 kg/m³.
C.7
Gate
6 m
Oil
Water
2 m
50°
В
Fig. C.7

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