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A rectangular tank 1.5 m wide, 3 m long and 1.8 m deep contains water to a depth of 1.2 m. Find the horizontal acceleration which may be imparted to the tank in the direction of its length so that (a) there is just no spilling of water from the tank, (b) the front bottom corner of the tank is just exposed, (c) the bottom of the tank is exposed upto its mid-point. Calculate the volume of water that would spill out from the tank in the cases (b) and (c). Also calculate the total forces on each end of the tank in each of these cases and show that the difference between the forces equals the unbalanced force necessary to accelerate the liquid mass in the tank.

A rectangular tank 1.5 m wide, 3 m long and 1.8 m deep contains water to a depth of 1.2 m. Find the horizontal acceleration which may be imparted to the tank in the direction of its length so that (a) there is just no spilling of water from the tank, (b) the front bottom corner of the tank is just exposed, (c) the bottom of the tank is exposed upto its mid-point. Calculate the volume of water that would spill out from the tank in the cases (b) and (c). Also calculate the total forces on each end of the tank in each of these cases and show that the difference between the forces equals the unbalanced force necessary to accelerate the liquid mass in the tank.

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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A rectangular tank 1.5 m wide, 3 m long and 1.8 m deep contains water to a depth of 1.2 m. Find the horizontal acceleration which may be imparted to the tank in the direction of its length so that (a) there is just no spilling of water from the tank, (b) the front bottom corner of the tank is just exposed, (c) the bottom of the tank is exposed upto its mid-point. Calculate the volume of water that would spill out from the tank in the cases (b) and (c). Also calculate the total forces on each end of the tank in each of these cases and show that the difference between the forces equals the unbalanced force necessary to accelerate the liquid mass in the tank.
Transcribed Image Text:A rectangular tank 1.5 m wide, 3 m long and 1.8 m deep contains water to a depth of 1.2 m. Find the horizontal acceleration which may be imparted to the tank in the direction of its length so that (a) there is just no spilling of water from the tank, (b) the front bottom corner of the tank is just exposed, (c) the bottom of the tank is exposed upto its mid-point. Calculate the volume of water that would spill out from the tank in the cases (b) and (c). Also calculate the total forces on each end of the tank in each of these cases and show that the difference between the forces equals the unbalanced force necessary to accelerate the liquid mass in the tank.
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