• Second moment of area moment of inertiaCalculate the second moment of area and radius of gyration of common shapes about weak and strong axes
  • Cubic orientation of primary and shear stresses and principal stress cosine rotationCombine primary and shear stresses into equivalent and principal stresses & their cosines
  • Nucleus and electron shells of atomic elementFind, sort and reorganise the properties of nature's atomic elements with active periodic table
  • Formulas included in Engineering PrinciplesCalculate unknowns in principle engineering formulas: stress, moments, power, energy, capstans, fluids, etc.
  • Properties of a triangle with inscribed and circumscribed circlesCalculate the properties of triangles and triangular configurations including inscribed and circumscribed circles
Area Moment calculation1 Combined Stress calculation2 Elements calculation3 Engineering Principles calculation4 Trigonometry calculation5
Available Now 2ᴺᴰ Moment of Area 2ᴺᴰ Moment of Area+ Added Mass & Drag Areas & Volumes Balancing (rotary) Beam Strength Beam Strength+ Bearings (low friction) Bearings (plain) Bending Moments BiMetallic Strip Buoyancy Carbon Steel Catenary Catenary+ Cathodic Protection Centrifugal Force Colebrook & Fanning Column Buckling Combined Stress Co-ordinates Copper Alloys Electrical Current Elliptical Curves Engineering Basics Explosions Fans Fatigue Flange Gaskets Flanges Floors Fluid Forces Fluid Numbers Friction Galvanic Corrosion Gears Hardness Conversion HPHT Flexible Pipe Lift Rigging Logs & Trig Machining Tolerances Metal Properties Mode Shapes Ocean Waves Optical Lenses Padeyes Partial Pressures Piling Pipe Flow Pipe Flow+ Pipe Strength Plastic Stress in Beams Plate Deflection Pressure Vessels Reel Capacity Resolution of Forces Screw Thread Machining Screw Threads Shafts Shock Loads Spring Coefficients Spring Strength Steel Beam Sizes Stress Concentration Table of the Elements Thermal Conductivity Trigonometry UniQon Upheaval Buckling Velocity & Acceleration Vessel Motions Vessel RAOs Vibration Damping Vortex Shedding Walls, Barriers & Tanks Weight Lifting Welding Wire Rope

Home » All Programs

Calculator Description
Catenary Calculator v1


Calculator for the properties of a catenary


A Catenary is the natural curve generated by a cable or chain (with zero bending stiffness and infinite axial stiffness) when strung between two fixed points.

Whilst the theory used for the analysis of a Catenary is strictly valid for cables with zero bending stiffness and infinite axial stiffness, you can also use it to obtain approximate configurations in cables that exhibit a resistance to bending, if sufficiently long.

As with many of our calculators you could use the catenary calculator for pre-analysis and optimisation work instead of expensive and time-consuming analytical software.
For instance, you could use Catenary to configure closely, say, a small diameter pipeline (relative to water depth) hung off a vessel or platform in fairly still water limiting the expensive and time-consuming analytical software to final analysis.


The catenary calculator includes two calculation options:

1) Fx,Fy: calculates the distance between each end of the catenary based upon the force applied to its free end

2) x,y: calculates the forces in each end of the catenary based upon the distance to its free end

Local Properties can be found for any point on the catenary with respect to its anchored end using either calculation option

For help using this calculator, including its internal self-checking facility, see Technical Help

Catenary Calculator - Options

Fx,Fy & x,y

One end of the cable is anchored and the other end is free to move. Either you apply a force (Fx,Fy) to the free end or you move it to a specified position relative to the anchor (x,y). Catenary will provide the properties of the resulting catenary along with an image of its configuration.

You enter: and the catenary calculator will provide:
  • horizontal force at '2': Fx
  • vertical force at '2': Fy₂
  • or
  • horizontal distance from '1' to '2': x₂
  • vertical distance from '1' to '2': y₂
  • and
  • total length of catenary from '1' to '2': L
  • weight per unit length of catenary: w
  • distance along catenary from '1' to 'p': p
  • horizontal force in catenary: Fx1000
  • axial tension in catenary at '1': F₁
  • vertical force in catenary at '1': Fy₁
  • axial tension in catenary at '2': F₂
  • vertical force in catenary at '2': Fy₂
  • axial tension in catenary at 'p': Fᵨ
  • vertical force in catenary at 'p': Fyᵨ
  • radius in catenary at '1' [°]: R₁
  • slope in catenary at '1' [°]: θ₁
  • horizontal distance from '1' to '2': x₂
  • vertical distance from '1' to '2': y₂
  • radius in catenary at '2': R₂
  • slope in catenary at '2' [°]: θ₂
  • length of catenary from '1' to 'ℓ': Lℓ
  • horizontal distance from '1' to 'ℓ': xℓ
  • vertical distance from '1' to 'ℓ': yℓ
  • radius in catenary at 'ℓ': Rℓ
  • horizontal distance from '1' to 'p': xᵨ
  • vertical distance from '1' to 'p': yᵨ
  • radius in catenary at 'p': Rᵨ
  • slope in catenary at 'p' [°]: θᵨ
  • A co-ordinate listing is also provided for further processing in your preferred spreadsheet

Check minimum system requirements

Price: 19.50

« Previous | Next »

We accept the following payment methods

Credit Cards

      Go to our store
CalQlata™ Copyright ©2011-2016 CalQlata info@calqlata.com Site Map Terms of website use Our Store