A beam consisting of elements connected flexibly along their axis is discussed in the paper.
An example of a structural system, constructed with the use of different materials is a composite
girder consisting of a steel beam connected with a concrete slab. Full interaction of elements connected
discontinuously (discretly) along the axis of the beam is a particular (theoretical) case. Taking
into account functions of shear forces and stiffness k, a connection, can be classified as rigid when
k > 1400 MN/m2. In this case, the results obtained from the classic beam (homogeneous) model are
sufficient for design purposes. In the cases presented in the paper, the results obtained using classic
model may considerably deviate from the results obtained using layered model, considered to be the
accurate one. The examples of analyses given in the paper show the possibility for the use of Fourier
series in calculating shear forces in the case of discrete connections. Using this solution, a compatibility
of shear forces with values calculated on the basis of design solution was proved to be valid
only in the case of full interaction (no shear slip). As the connection flexibility increases, the discrepancy
between the functions of shear forces along the length of a girder rises. Regular arrangements of
shear connectors were considered in the paper. The function of connection stiffness k(x) can have
a significant influence on the distribution of shear force t(x).
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