Abstract
Discontinuities such as internal hinges are commonly encountered in framed structures. A general method of including discontinuities in stiffness method analyses of planar frames by the release of member end forces is developed. Modifications are made to the member stiffness matrix and equivalent joint load vector to account for the released end forces. A FORTRAN algorithm is given that makes the necessary modifications to the member stiffness matrix and equivalent joint load vector for the standard planar frame member. The algorithm allows combinations of up to three member end forces to be released (specified at zero or nonzero values). An algorithm is also given that calculates the unknown member end displacements at the released member end forces. Numerical examples are given to illustrate the uses and capabilities of the algorithms.
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