Wire Rope Sag Calculator

Estimate sag, tension, rope length, and support reactions. Compare parabolic and catenary methods for planning. Export clear records for safer field planning decisions today.

Calculate Sag On Wire Rope

Formula Used

Total load: w = rope load + extra load

Parabolic sag: d = wL² / 8H

Approximate rope length: S ≈ chord + 8d² / 3 chord

Left slope: m₁ = h / L - wL / 2H

Right slope: m₂ = h / L + wL / 2H

Support tension: T = √(H² + V²)

Catenary sag for level supports: d = a[cosh(L / 2a) - 1], where a = H / w

How To Use This Calculator

  1. Enter the clear horizontal span between rope supports.
  2. Enter rope weight per length and any extra load.
  3. Enter the horizontal tension applied to the wire rope.
  4. Add support height difference if one end is higher.
  5. Enter target sag to find required horizontal tension.
  6. Add allowable support tension to check utilization.
  7. Press Calculate to view sag, rope length, and tensions.
  8. Use CSV or PDF export for saved project records.

Example Data Table

Span Total Load Horizontal Tension Support Difference Estimated Sag Approximate Rope Length
30 m 15 N/m 6,000 N 1.2 m 0.2813 m 30.031 m
50 m 20 N/m 10,000 N 0 m 0.6250 m 50.083 m
80 ft 1.5 lbf/ft 2,500 lbf 2 ft 0.4800 ft 80.016 ft

Wire Rope Sag Planning

Wire rope sag is the vertical drop between the support chord and the rope curve. It matters in lifting yards, temporary spans, farm gates, guide wires, safety barriers, and simple material runs. A small error can change clearance, support load, and connection stress. This calculator gives a practical estimate before detailed design.

Why Sag Changes

Sag depends on span length, unit load, and horizontal tension. Longer spans create much larger sag because length is squared in the parabolic formula. Heavier rope, ice, wind, or hanging parts increase the distributed load. Higher horizontal tension reduces sag, but it also raises end tension. The safe answer is not always the tightest rope.

Parabolic And Catenary Views

The parabolic method is common for small sag compared with span. It is fast, clear, and useful for early planning. The catenary method follows the natural curve of a flexible cable under its own weight. It becomes more important when sag is large, span is long, or precision is needed. This page shows both level support catenary results and practical parabolic values.

Unequal Supports

Many real spans have one support higher than the other. The calculator accepts support height difference. It estimates slope, low point position, and end tension. A low point outside the span means the rope falls across the full span without an internal dip. Clearance should then be checked near the lower support.

Safe Use

Always compare calculated support tension with the rope rating, fittings, anchors, posts, and clamps. Use an appropriate design factor. Add expected loads before judging clearance. Include water, dirt, ice, vibration, moving loads, and shock. Wire rope can stretch, settle, and lose strength from corrosion or broken wires.

Practical Checks

Measure span along a straight line between supports. Enter load per horizontal length. Use consistent units. Review the maximum support tension, sag from chord, rope length, and clearance note. For final work, follow local rules, manufacturer data, and qualified engineering advice. This tool helps planning, not certification. Recheck values after installation and inspection. Document assumptions, dates, and measured site conditions clearly.

Maintenance Notes

Inspect anchors often. Watch for cracked concrete, bent clips, loose turnbuckles, and worn thimbles. Replace damaged rope before using the span again.

FAQs

What is wire rope sag?

Wire rope sag is the vertical drop between a straight support chord and the rope curve. It changes with span length, rope load, added load, and horizontal tension.

Is the parabolic formula always accurate?

It is accurate for many small sag cases. Large sag, flexible cable behavior, or long spans may need a catenary check and professional review.

What does horizontal tension mean?

Horizontal tension is the constant horizontal component of rope tension. End tension is usually higher because it includes vertical load components.

Can I use this for uneven supports?

Yes. Enter the support height difference. The calculator estimates slopes, low point position, and end tension using a practical parabolic model.

What is extra load per length?

Extra load means any added distributed weight. It may include ice, dirt, small attachments, cable carriers, or other loads spread along the span.

Why is support tension higher than horizontal tension?

Support tension combines horizontal tension with the vertical force component. The final end tension is found using the square root relation.

What is the target sag field for?

Target sag helps estimate the horizontal tension needed to reach a selected sag. It is useful for early clearance and tension planning.

Can this replace an engineer?

No. It is a planning calculator. Critical lifting, public safety, and structural work need qualified design, inspection, and approved rope data.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.