Civil Engineering Reference
In-Depth Information
0
s
,
δ
o
s
,
n
δ
Original
Shape
Deflected
Shape
()
w
z
Fig. 3.2
Deflected Frame due to Lateral Pressure Distribution
0
,
n
0
,
n
δ
δ
s
s
i
=
0
i
=
1
z
i
=
2
A
i
=
n
(a)
(b)
Fig. 3.3
(a) Deflected Frame, and (b) Equivalent Cantilever Beam for Frame Analysis
The fundamental premise of this work is that a rigid frame can be represented
by an equivalent cantilever beam (having an equivalent area,
A
o
) to derive an ana-
lytical expression for the deflection,
s
shown in Fig. 3.3. The frames used for
analysis have a height-to-length ratio less than or equal to 5, and may therefore be
δ
