In practical design, frames are assumed to be connected either by rigi
d or pinned joints. Strictly speaking, all joints are semi-rigid, so t
his assumption does not normally represent the actual behaviour of a r
ealistic steel frame. Due to extensive research into the behaviour of
frames with semi-rigid connections and the availability of low-priced
personal computers, the idealized pinned or rigid joint assumption for
the simplified analysis of a steel structure may not be necessary or
justifiable. So far, most research on the subject has concentrated on
the static linear and nonlinear analysis of flexibly jointed steel fra
mes. The dynamic behaviour of steel structures with semi-rigid joints
has not been extensively investigated. The response of a steel frame w
ill be of interest to the designer for the purpose of ensuring the saf
ety and serviceability of the structure under the action of dynamic lo
ads. This paper is addressed to the extension of the well known stiffn
ess matrix method of analysis for framed structures to cover a more ge
neral case of vibration and stability analysis of flexibly connected s
teel frames.