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 8 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
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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 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.
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 µ. 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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