An example of integrating a single research problem over a broad range of topics in a graduate-level course in applied elasticity (advanced strength of materials) is given in this paper. The research problem was obtained from an investigation of failures during the assembly of fulcrums of bascule bridges. Topics exemplified by using this problem included interference fits, axisymmetric problems, transformation of strains and stresses, comparison of failure theories, and the effect of temperature-dependent thermoelastic properties.