Dimensional analysis can be used in problems other than fluid mechanics ones. The important variables affecting the period of a vibrating beam (usually designated as T and with dimensions of time) are the beam length é, area moment of inertia I, modulus of elasticity E, material density p, and Poisson's ratio , so that T = fen(l,I,E,p.a)
Dimensional analysis can be used in problems other than fluid mechanics ones. The important variables affecting the period of a vibrating beam (usually designated as T and with dimensions of time) are the beam length é, area moment of inertia I, modulus of elasticity E, material density p, and Poisson's ratio , so that T = fen(l,I,E,p.a)
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.13P: 5.13 The torque due to the frictional resistance of the oil film between a rotating shaft and its...
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Dimensional analysis can be used in problems other than áuid
affecting the period of a vibrating beam (usually designated as T and with dimensions of time) are the beam
length `, area moment of inertia I, modulus of elasticity E, material density , and Poissonís ratio , so that
T = f cn(`; I; E; ; )
Recall that the modulus of elasticity has typical units of N/m2 and Poissonís ratio is dimensionless.
(a) Find dimensionless version of the functional relationship.
(b) If E and I must always appear together (meaning that EI is e§ectively a single variable), Önd a dimensionless version of the functional relationship.
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