TY  - BOOK
AU  - Kienzler,R.
AU  - Schneider,P.
TI  - A Beam-Just a Beam in Linear Plane Bending
KW  - TAYLOR-SERIES EXPANSIÓN
KW  - CONSISTENT BEAM THEORIES
KW  - UNIFORM APPROXIMATION
KW  - PSEUDO REDUCTION
KW  - EULER-BERNOULLI BEAM
KW  - TIMOSHENKO BEAM
N2  - Starting from the equations of the linear, three-dimensional theory of elasticity, the displacements are expanded into power series in the width- and height-coordinates. By invoking the uniform-approximation method in combination with the pseudo-reduction technique, a hierarchy of beam theories of different orders of approximation is established. The first-order approximation coincides with the classical Euler-Bernoulli beam theory, whereas the second-order approximation delivers a Timoshenko-type of shear-deformable beam theory. Differences and implications are discussed
UR  - https://drive.google.com/file/d/1PHqP4siunitZ8sQ9abPvYW233WGhC4xY/view?usp=drivesdk
ER  -