46
STRUCTURE-ENVIRONMENTAL FORCE INTERACTIONS
For vertical equilibrium of this segment, it follows that
F sin 6 - Fq sin 80 = w£
(2.53)
in which I is the length of the segment, given by
(2-54)
A closed form solution to équation (2.51), or the (x, y) coordinates of the catenary curve, is
x = — sinh
—— sinh 1(tan^o)
w
(2.55a)
w
z =
P
'
l~
I
— cosh - + sinh T(tan^o)----- -coshlsinh 1(tan^o)l
w
Fx
w
L
(2.55b)
Equations (2.55) can be used to describe the static shapes of guy fines formed
of multiple uniform segments placed end-to-end in which the segments hâve different géométrie and material properties. In such configurations, compatibility
of both slope and tension force at the junction of each adjacent segment needs
to be maintained (Ansari, 1980). The following example problem illustrâtes
the use of the catenary solutions to solve for the restraining stiffness q(v) of a
floating platform stayed with identical guy fines.
TOP VIEW
Figure 2.19 Model of a cable stayed floating platform.
STRUCTURE-ENVIRONMENTAL FORCE INTERACTIONS
For vertical equilibrium of this segment, it follows that
F sin 6 - Fq sin 80 = w£
(2.53)
in which I is the length of the segment, given by
(2-54)
A closed form solution to équation (2.51), or the (x, y) coordinates of the catenary curve, is
x = — sinh
—— sinh 1(tan^o)
w
(2.55a)
w
z =
P
'
l~
I
— cosh - + sinh T(tan^o)----- -coshlsinh 1(tan^o)l
w
Fx
w
L
(2.55b)
Equations (2.55) can be used to describe the static shapes of guy fines formed
of multiple uniform segments placed end-to-end in which the segments hâve different géométrie and material properties. In such configurations, compatibility
of both slope and tension force at the junction of each adjacent segment needs
to be maintained (Ansari, 1980). The following example problem illustrâtes
the use of the catenary solutions to solve for the restraining stiffness q(v) of a
floating platform stayed with identical guy fines.
TOP VIEW
Figure 2.19 Model of a cable stayed floating platform.