An Introduction to Structural Mechanics for Architects by Elías Cueto & David González

Author:Elías Cueto & David González
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

Let us assume that the internal force passes at a distance e from the center of gravity of the cross section. By adding a pair of mutually equilibrating forces at the center of gravity (in red and blue in Fig. 5.3), the equilibrium is guaranteed. It is clear then that the original situation is equivalent to having an axial internal force N (in red in the picture) plus a bending moment .

Fig. 5.4Intrinsic coordinates of a beam. A cross section at a generic position t, A(t), is also highlighted

In what follows we introduce a rigorous mathematical description of the geometry of a beam that will help us to introduce, also in a very rigorous way, the series of internal forces and moments that a beam may suffer.

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