Homework Parts A and Part B Problem statement: A simply supported beam of diameter D, length L, and modulus of elasticity E is subjected to a fluid crossflow of velocity V, density p, and viscosity µ. Its center deflection d is assumed to be a function of all these variables. Part A - Rewrite this proposed function in dimensionless form. (Hint: Take L, p , and V as repeating variables.) Part B - Suppose it is known that & is independent of µ, inversely proportional to E, and dependent only upon pV², not p and separately.
Homework Parts A and Part B Problem statement: A simply supported beam of diameter D, length L, and modulus of elasticity E is subjected to a fluid crossflow of velocity V, density p, and viscosity µ. Its center deflection d is assumed to be a function of all these variables. Part A - Rewrite this proposed function in dimensionless form. (Hint: Take L, p , and V as repeating variables.) Part B - Suppose it is known that & is independent of µ, inversely proportional to E, and dependent only upon pV², not p and separately.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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
Transcribed Image Text:Homework Parts A and Part B
Problem statement: A simply supported beam of diameter D, length L, and modulus of
elasticity E is subjected to a fluid crossflow of velocity V, density p, and viscosity u. Its
center deflection ô is assumed to be a function of all these variables.
Part A - Rewrite this proposed function in dimensionless form. (Hint: Take L, p, and V as
repeating variables.)
Part B - Suppose it is known that 8 is independent of µ, inversely proportional to E, and
dependent only upon pV², not p and separately.
Simplify the dimensionless function accordingly.
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