This article contains a recursive analytical expression for the static solution of an elastic cable under the action of concentrated and distributed forces in three dimensions. The cable’s axial stiffness as well as the concentrated and distributed forces may vary along the cable. The proposed solution is presented on vectorial form; it is exact and faster than a finite-element-based solution.

1.
Irvine
,
H. M.
, and
Sinclair
,
G.
,
1976
, “
The Suspended Elastic Cable Under the Action of Concentrated Vertical Loads
,”
Int. J. Solids Struct.
,
12
, pp.
309
317
.
2.
Irvine, M., 1981, Cable Structures, Dover, New York, NY.
3.
Leonard, J. W., 1988, Tension Structures—Behavior and Analysis, McGraw-Hill, New York, NY.
4.
Peyrot
,
A. H.
, and
Goulois
,
A. M.
,
1979
, “
Analysis of Cable Structures
,”
Comput. Struct.
,
10
, pp.
805
813
.
5.
Boston Marine Consulting Inc., 1999, “Lines—Nonlinear Static and Dynamic Analysis of Mooring Lines/Riser/Tether Arrays User Manual V1.1.,” Boston Marine Consulting Inc. Cambridge, MA.
6.
MARINTEK, 1995, “Mimosa—User’s Documentation,” doc. 519616.00.02, Marintek, Trondheim, Norway.
7.
MARINTEK, 1995, “Riflex—Theory Manual,” doc. STF70 F95219, Marintek, Trondheim, Norway.
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