So here is the list of what I have checked out so far:
Segerlind, Larry J., 1937- Applied finite element analysis.
Kikuchi, Noboru. Finite element methods in mechanics / Noboru Kikuchi.
Norrie, D. H. Introduction to finite element analysis, D. H.
Norrie and G. de Vries.
Finite element primer / published by the National Agency for
Finite Element Methods and Standards.
Irons, Bruce. Finite element primer / Bruce Irons and Nigel Shrive.
Huebner, Kenneth H., Finite element method for engineers / Kenneth
H. Huebner, Earl A. Thornton, Ted G. Byrom.
What every engineer should know about finite element analysis /
edited by John R. Bauer.
White, R. E. (Robert E.) Introduction to the finite element method
with applications to nonlinear problems / R.E. White.
Becker, Eric B. Finite elements : special problems in solid
mechanics / Eric B. Becker, Graham F. Carey, and J. Tinsley Oden. v.1
Becker, A. A. (Adib A.) Introductory guide to finite element
analysis / A.A. Becker.
Finite element methods : fifty years of the Courant element /
edited by M. Krizek, P. Neittaanmaki, R. Stenberg.
Bathe, Klaus-Jurgen. Finite element procedures in engineering
analysis / Klaus-Jurgen Bathe.
Martin, Harold Clifford, 1913- Introduction to finite element
analysis: theory and application [by] Harold C. Martin [and] Graham F.
Cheung, Y. K. Practical introduction to finite element analysis /
Y. K. Cheung and M. F. Yeo.
Norrie, D. H. Finite element method; fundamentals and
applications, [by] Douglas H. Norrie [and] Gerard de Vries.
If you can recommend the best starting point(s), I am open to
suggestions. If you have a favorite (especially for beginners), that
isn't on this list, I can almost certainly get it (we are a smallish
school, but all university libraries in the state of Illinois
cooperate). So, I am open to recommendations.