The Finite Element Method, its basis & fundamentals, O.C. Zienkiewicz, R.L. Taylor, J.Z. Zhu, 6th edition ISBN 0-7506-6320-0.
Here is the FEAP inputfile for problem 1.4 (1kB) as a basic example of how you can verify your solution.
The inputfile for example 2.3 (3kB) and example 2.4 (3kB). A beam subjected to end shear and a circular beam subjected to end shear, respectively.
See the FEAP site for documentation on the Finite Element Analysis Program and the personal version (FEAPpv).
This is my Makefile (1kB) version to compile FEAPpv 2.2. On an Intel Macbook with OS X 10.6 (Leopard) and using the MacPorts gcc package Fortran compiler.
You can use Octave as a Matlab substitute to work out the problems.
In addition you can use Sage to work out the problems. These are my Sage (version 4.6.2) worksheets for the problems in the first chapter: