The figure given below is a storage tank that contains a liquid at depth y, where y = 0 when the tank is half full. Liquid is withdrawn at a constant flow rate Q to meet demands. The contents are replenished at a sinusoidal rate 3Q sin (t). Suppose that the outflow is not constant but rather depends on the depth. The differential equation for depth can be written as

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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The figure given below is a storage tank that contains a liquid at depth y, where y = 0 when the
tank is half full. Liquid is withdrawn at a constant flow rate Q to meet demands. The contents
are replenished at a sinusoidal rate 3Q sin?(t). Suppose that the outflow is not constant but rather
depends on the depth. The differential equation for depth can be written as
dy
a(1+ y)125
= 3 sin?(t)
dt
A
A
y
Use Euler's method to solve for the depth y from t= 0 to 10 d with a step size of 2 d. The parameter
values are A = 1250 m², Q = 425 m³/d, and a = 175. Assume that the initial condition is y(0) = 0.
(Round the final answers to five decimal places.)
Transcribed Image Text:The figure given below is a storage tank that contains a liquid at depth y, where y = 0 when the tank is half full. Liquid is withdrawn at a constant flow rate Q to meet demands. The contents are replenished at a sinusoidal rate 3Q sin?(t). Suppose that the outflow is not constant but rather depends on the depth. The differential equation for depth can be written as dy a(1+ y)125 = 3 sin?(t) dt A A y Use Euler's method to solve for the depth y from t= 0 to 10 d with a step size of 2 d. The parameter values are A = 1250 m², Q = 425 m³/d, and a = 175. Assume that the initial condition is y(0) = 0. (Round the final answers to five decimal places.)
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