Stress analysis: an advanced approach - Global Structural Analysis of Buildings - page 113

In parallel with this downward shift of the centroid of the load, the intensity of the load
increases at ground floor level where it assumes local maximum. The value of this local
maximum is given by

(5.40)

Factor η q max is shown in Fig. 5.9 as a function of parameter k and µ .

The shear forces in the bracing elements are obtained in the usual way by
integrating the formulae for the external load given by equations (5.37) and (5.38),
taking into consideration the corresponding boundary conditions defined by
formulae (5.15):

(5.41)

(5.42)

where

(5.43)

is the shear force factor representing the effect of rotation around the shear
centre.
The first term in formulae (5.41) and (5.42) stands for shear forces due to the horizontal
displacement of the shear centre axis of the bracing system. As with the standard case
of statically determinate cantilevers, they only depend on the height, the intensity of
the horizontal load and the bending stiffness of the bracing element (and of the whole