________________________________________________________________________
PROBLEM (12.3) A cold-rolled bronze rod of cross-sectional area 12 in.2 is subjected to axial
compression loading. If the allowable axial compressive stress is 14 ksi and E = 16 x 106 psi, calculate
the minimum length of the rod required for a strain energy of U = 1.3 in.-kips to be stored in the rod.
SOLUTION
2
2min
22
all AL
PL
UAE E
σ
==
Solving
63
min 23
2 2(16 10 )(1.3 10 )
12(14 10 )
all
EU
LA
σ
××
== ×2
=
17.687 .in
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