16.20 Handed Out: Lecture 41
Due: Lecture 46
HOME ASSIGNMENT #10
Warm-Up Exercises
A perfect column of length L has constant cross-sectional properties equal to EI.
Each end of the column is held by a torsional spring of stiffness kT. The overall
configuration is depicted below with the open circle representing the torsional
spring.
z
x
L
kT
P
kT
1. Determine the equation to be solved to find the buckling load Pcr (simplify as
much as possible).
2. Consider the limiting case where the torsional constant goes to 0 and find the
actual buckling load Pcr. Identify the simple configuration that has the same
buckling load. Explain, from physical considerations, why this must be so.
3. Consider the limiting case where the torsional constant goes to ∞ and find
the actual buckling load Pcr. Identify the simple configuration that has the
same buckling load. Explain, from physical considerations, why this must be
so.
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