Cable Tension Calculator: How to Calculate Tension in a Cable

Every cable cam rig, zip line and lifting sling asks the same question before it goes up: what is the tension in the cable, and is the line strong enough to hold it? The answer is rarely the number people expect. A 30 lb camera rig on a 600 ft span does not put 30 lb into the cable — it puts roughly 450 lb into it, because a nearly flat line has to pull sideways with enormous force to hold a small weight up.

Use the cable tension calculator below to work it out in seconds, then read on for the cable tension formula, the maths behind it, and the rigging angle rules that decide how much line you actually need.

Cable Tension Calculator
Units
lb
Camera, gimbal, trolley — everything on the line. A fully loaded FlyLine cable cam is roughly 30 lb.
ft
Anchor to anchor, measured level — not along the cable.
How far the line drops at the middle under load. 8 mm Dyneema sags about 10 ft over a 600 ft span.
deg
Measured at the anchor, between the cable and level ground.
θ₁
θ₂
The shallower cable always carries more tension.
: 1
Rigging standard is 5:1 minimum.
lb
Manufacturer's MBS — not working load limit.
Cable tension diagram

Tension in the cable

lb
Result Enter your numbers to see the required cable strength.
Safety note. These figures are theoretical — static load, mid-span, ideal anchors. They do not account for knots, splices, shock loading, abrasion, UV, or wind. Keep the 5:1 factor and inspect the line every time.

What Tension in a Cable Actually Means

A cable can do exactly one thing: pull along its own length. It cannot push, and it cannot resist bending. That single limitation is what makes cable calculations so clean — you do not need to know the material, the manufacturing run, the age of the rope or its stretch modulus to solve for tension. You only need geometry and load.

Tension force is measured in pounds (lb) or kilonewtons (kN). If you work in metric, remember that kilograms measure mass, not force. To convert your load to kilonewtons, multiply the mass in kilograms by 9.81 and divide by 1,000. A 14 kg cable cam is therefore about 0.137 kN.

The Cable Tension Formula

For a cable anchored at two level points with a load hanging at mid-span, tension equals the load multiplied by half the cable length, divided by twice the sag:

T = W · D / (2H)
SymbolMeaning
TTension in the cable
WLoad on the line (rig, camera, rider)
LHorizontal span, anchor to anchor
HSag — how far the line drops at the middle
DDiagonal length of one half of the cable

You find D with the Pythagorean theorem, because half the cable, half the span and the sag form a right triangle:

D = √( (L/2)² + H² )

Substitute one into the other and you have the complete equation for tension:

T = W · √( (L/2)² + H² ) / (2H)

That is the formula the calculator on this page uses.

Worked Example: Calculating Tension for a Cable Cam

A fully loaded FlyLine cable cam weighs about 30 lb. Rig it across a 600 ft span and tension the 8 mm Dyneema until it sags 10 ft at the middle:

  1. Half span: 600 ÷ 2 = 300 ft
  2. Diagonal: √(300² + 10²) = √(90,100) = 300.17 ft
  3. Tension: 30 × 300.17 ÷ (2 × 10) = 450 lb

Now apply the safety factor. Rigging practice is a minimum of 5:1, so 450 × 5 = 2,251 lb. Do not fly that rig on anything rated below 2,250 lb breaking strength — and if the calculated load were 1,000 lb, you would need a cable rated 5,000 lb or better.

How to Calculate Tension in a Cable Using Angles

The trigonometric route gives an identical answer and is often faster in the field, because a sag angle is easier to eyeball than a sag distance.

First, find the angle θ between the cable and horizontal at the anchor:

θ = arctan( H / (L/2) )

Then, since the vertical reaction at each anchor is half the load:

T = W / (2 · sin θ)

Watch your calculator mode — some work in degrees, some in radians. One degree equals π/180 radians.

Running the same numbers: θ = arctan(10 / 300) = 1.91°, and T = 30 / (2 × sin 1.91°) = 450 lb. The two methods always agree, because the triangle formed by the forces is similar to the triangle formed by the distances.

Rigging Angle Calculator: Why Shallow Cables Destroy Hardware

This is the part that catches people out. As a cable flattens, tension does not rise gently — it runs away. The load factor is simply 1 ÷ sin θ, and it is the same figure riggers use for the sling tension formula:

Angle from horizontalLoad factorTension per side (1,000 lb load)
90° (straight up)1.00×500 lb
60°1.16×578 lb
45°1.41×707 lb
30°2.00×1,000 lb
15°3.86×1,932 lb
10°5.76×2,879 lb
11.47×5,737 lb
28.7×14,336 lb

For a two-leg sling, tension in each leg is the load divided by twice the sine of the leg angle — the sling tension formula and the cable tension formula are the same equation wearing different clothes. Below about 30°, small changes in geometry produce large changes in force. This is why you never pull a line dead flat to get rid of sag: you would need a cable an order of magnitude stronger, and the horizontal pull at your anchors goes up just as fast.

How to Find Tension in Two Cables at Different Angles

When the load hangs from two cables that meet at different angles — uneven anchor heights, a rig pulled off-centre, or a two-leg bridle — the two tensions are not equal. Resolve the forces horizontally and vertically and you get:

T₁ = W · cos θ₂ / sin(θ₁ + θ₂)
T₂ = W · cos θ₁ / sin(θ₁ + θ₂)

Where θ₁ and θ₂ are each cable's angle from horizontal. The shallower cable always carries the larger share. Switch the calculator above to Two Cables to determine the tension in each leg, along with the horizontal and vertical components of reaction at both anchors.

How to Measure Cable Tension in the Field

You do not need a load cell to determine tension. You need a tape and a level eye.

  1. Measure the span. Anchor to anchor, horizontally — not along the cable.
  2. Load the line. Put the actual rig on it and park it at mid-span. An unloaded sag figure gives you a number that means nothing.
  3. Measure the sag. Sight a level line between the two anchor points and measure straight down to the cable at its lowest point. A laser level makes this quick over long spans.
  4. Run the numbers. Feed span, sag and load into the calculator above.
  5. Compare against rated strength. Use the manufacturer's minimum breaking strength, not the working load limit, and keep at least 5:1.

For reference on Dyneema: 8 mm line will sag roughly 10 ft over a 600 ft span when tensioned appropriately for a FlyLine cable cam. If you are seeing far less sag than that, your tension — and your anchor loads — are much higher than you think.

What These Cable Calculations Do Not Include

Treat every figure here as a planning guide rather than a guarantee. The equations describe an ideal case: a perfect cable, perfectly attached, with a static load sitting still at the middle. Real rigs are dirtier than that.

The calculations do not account for:

  • Knots and splices, which can remove 30–50% of a line's strength
  • Shock loading from a rig bouncing, braking, or slamming into an end stop
  • Slings and soft shackles at the terminations, and their own angles
  • Abrasion, UV exposure and age in a line that has worked three seasons
  • Wind load and dynamic side forces on the rig
  • Anchor strength — the tree, truss or post is often the weakest part of the system

That gap between theory and reality is exactly what the 5:1 safety factor is for. Do not spend it.

Frequently Asked Questions

What is the tension in the cable if it looks perfectly straight?

Approaching infinity. Tension is inversely proportional to sag, so as sag heads toward zero, tension climbs without limit. A truly straight cable holding any load at all is impossible — there is always sag, and if you cannot see it, tension is dangerously high.

How do you calculate tension in a rope at an angle?

Use T = W / (2 · sin θ), where θ is the angle between the rope and horizontal at the anchor and W is the load hanging from the middle. For a single rope pulling at an angle against one anchor, tension is W / sin θ.

What is tension equal to in a two-leg sling?

Each leg carries W / (2 · sin θ). At 60° from horizontal that is 1.16 times the load share; at 30° it doubles to a full share of the load per leg.

Does the type of cable change the tension?

No. Tension depends only on load and geometry, which is what makes these equations so useful — they hold for steel wire rope, Dyneema, and polyester webbing alike. What the material changes is how much sag you get at a given tension, and how much tension the line can survive.

How much sag should a zip line or cable cam have?

Enough to keep tension sensible. As a rough starting point, 2–3% of the span gives a workable balance between speed, ground clearance and cable load. Tighter than 1% and tension climbs steeply for very little gain.

What safety factor should I use for cable tension?

5:1 as a minimum for cable cam and zip line work — five times the calculated working tension as the required minimum breaking strength. Increase it for anything carrying people, anything over crowds, or any line that sees repeated shock loading.

Gavin Marsh

Gavin is a contributing writer at PhotoShip One, covering camera movement, cable-cam systems, rigging safety, and cinematography gear for production professionals. Gavin draws on real-world filming workflows to help readers navigate the technical and safety demands of modern production.

https://photoshipone.com/

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