Use Euler's method to solve for the depth y
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A storage tank 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 Liquid is withdrawn at a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 meets demands. The Contents are resupplied at a sinusoidal rate 30sin (t).
Equation can be written as:
d(Ay)
= 3Q sin?(1) – Q
(1)p
(change in`
(inflow) – (outflow)
volume
since the surface area A is constant
sin²ce) – O
A
dy
d(t)
Use Euler's method to solve for the depth y from t = 0 to 10 d with
a step size of 0.5 d. The parameter values are A = 1200 m? and
Q = 500 m/d. Assume that the initial condition is y = 0.
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