Civil Engineering Reference
In-Depth Information
sections 5.2 to 5.4 by taking into account the fact that the shear force is constant over
the height. The solution of the differential equations
(5.75a)
(5.75b)
with the boundary conditions
in the usual manner leads to the lateral displacements of the equivalent
column:
(5.77a)
(5.77b)
where
F
x
and
F
y
are the components of the concentrated top load
F
in directions
x
and
y
.
Maximum displacement develops at
z
=
H:
(5.78a)
(5.78b)
The rotations of the equivalent column are obtained from the solution of the governing
differential equation
