To illustrate that dimensional analysis
introduced in fluid mechanics can also be used in other engineering
problems (e.g., statics, dynamics and solid mechanics), students are
challenged to find the important dimensionless parameters governing
the deflection of a circular cantilever beam due to an applied force
at its tip, as shown in the figure.
Determine the dimensionless parameters involved
using dimensional analysis.
First, list all the parameters of the problem. Hint: One of the parameters
is the modulus of elasticity (E) , which is a material property of
Determine the number of basic dimensions involved.
Find the number of pi terms using Buckingham Pi theorem.
Determine the pi terms.
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