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An open tank has a vertical partition and on one side contains gasoline with a density p= 800 kg/m³ at a depth of 9.5 m, as shown in the figure below. A rectangular gate that is 9.5 m high and 2 m wide and hinged at one end is located in the partition. Water is slowly added to the empty side of the tank. At what depth, h, will the gate start to open? Assume h = 9.5 m. Partition Stop. Water h Gasoline

An open tank has a vertical partition and on one side contains gasoline with a density p= 800 kg/m³ at a depth of 9.5 m, as shown in the figure below. A rectangular gate that is 9.5 m high and 2 m wide and hinged at one end is located in the partition. Water is slowly added to the empty side of the tank. At what depth, h, will the gate start to open? Assume h = 9.5 m. Partition Stop. Water h Gasoline

Structural Analysis
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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An open tank has a vertical partition and on one side contains gasoline with a density p = 800 kg/m3 at a depth of 9.5 m, as shown in the figure below. A rectangular gate that is 9.5 m high and 2 m wide and hinged at one end is located in the partition. Water is slowly added to the empty side of the tank. At what depth, h, will the gate start to open? Assume h, = 9.5 m. Partition Stop- h, Water Gasoline Hinge Concepts: The pressure in a fluid is a function of the specific weight of the fluid and the height relative to a reference. Pressure is constant on horizontal planes of a continuous mass of fluid. Sum of the moments is zero for equilibrium (a) What is the specific weight of the gasoline? (b) What is the force of the gasoline on vertical gate? (c) Where does the force of the gasoline act with respect to the hinge? (d) What is the moment of the force of the gasoline around the hinge? (a) y = i N/m3 (b) F = i kN (c) h = i (d) M = i kN-m
Transcribed Image Text:An open tank has a vertical partition and on one side contains gasoline with a density p = 800 kg/m3 at a depth of 9.5 m, as shown in the figure below. A rectangular gate that is 9.5 m high and 2 m wide and hinged at one end is located in the partition. Water is slowly added to the empty side of the tank. At what depth, h, will the gate start to open? Assume h, = 9.5 m. Partition Stop- h, Water Gasoline Hinge Concepts: The pressure in a fluid is a function of the specific weight of the fluid and the height relative to a reference. Pressure is constant on horizontal planes of a continuous mass of fluid. Sum of the moments is zero for equilibrium (a) What is the specific weight of the gasoline? (b) What is the force of the gasoline on vertical gate? (c) Where does the force of the gasoline act with respect to the hinge? (d) What is the moment of the force of the gasoline around the hinge? (a) y = i N/m3 (b) F = i kN (c) h = i (d) M = i kN-m
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