KEVOS® MAKEOS · Mechanics

Eyebolt Lift Check (Unequal Leg Tensions, Angled Capacity, Thread Engagement)

When a load hangs from two eyebolts with legs at different angles, what tension does each eyebolt actually carry, is that within its capacity at the angle, and is each eyebolt screwed in deeply enough?

Check of a two-eyebolt lift with legs at unequal angles to the vertical: the tension in each leg from horizontal and vertical equilibrium (the horizontal pulls are equal and the vertical parts add to the load), the vertical share and the sideways pull on each eyebolt, each tension against the eyebolt's rated vertical load reduced by the share you allow at that leg angle, and the thread engagement as a multiple of the thread diameter against your requirement. Unequal legs show why dividing the load by the number of eyebolts can be unsafe.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Load masskgMass of the load being lifted, including any attachments.
Leg 1 angle from vertical°Angle of the first sling leg from the vertical, measured at the eyebolt.
Leg 2 angle from vertical°Angle of the second sling leg from the vertical, measured at the eyebolt.
Eyebolt capacity
Rated vertical working load limit per eyeboltkgWorking load limit marked on the eyebolt for a straight vertical pull.
Share of the rated load allowed at the leg 1 angle%Share of the vertical rating the eyebolt maker allows at leg 1's angle, with the eyebolt correctly seated and aligned in the plane of the pull (from the maker's data).
Share of the rated load allowed at the leg 2 angle%Share of the vertical rating the eyebolt maker allows at leg 2's angle (from the maker's data).
Thread
Eyebolt thread diametermmNominal diameter of the eyebolt thread.
Thread engagement in the loadmmLength of thread engaged in the tapped hole of the load.
Least engagement as a multiple of the thread diameterLeast engagement your practice or the eyebolt maker requires for this load material, as a multiple of the thread diameter.

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

What this means: Load mass
Illustration: Load massA weight resting on a scale; Load mass is how much matter it contains, in kilograms or grams.WExample: 1000 kgLoad mass
What it is
The mass of the load hanging from the two eyebolts, including any attachments lifted with it.
Units and format
Enter a number in kg: kilograms. The form accepts 0.000001 kg to 10000000 kg. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1000 kg as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Both leg tensions rise in proportion.
Get it right
Use a weighed or calculated mass, not an estimate from the label of a similar item.
What this means: Leg 1 angle from vertical
Illustration: Leg 1 angle from verticalTwo lines meeting at a point with an arc between them, marking the angle Leg 1 angle from vertical.a₁Example: 45°Leg 1 angle from vertical
What it is
The angle between the first sling leg and the vertical, measured where the leg meets its eyebolt.
Units and format
Enter a number in °: degrees of angle. The form accepts 0° to 89°. Required: the tool does not calculate until every input is valid.
Example
The form opens with 45° as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The steeper leg (the one nearer vertical) carries more of the load.
Get it right
Measure or work it out from the sling length and the eyebolt spacing; uneven slings give unequal angles.
What this means: Leg 2 angle from vertical
Illustration: Leg 2 angle from verticalTwo lines meeting at a point with an arc between them, marking the angle Leg 2 angle from vertical.a₂Example: 30°Leg 2 angle from vertical
What it is
The angle between the second sling leg and the vertical, measured where the leg meets its eyebolt.
Units and format
Enter a number in °: degrees of angle. The form accepts 0° to 89°. Required: the tool does not calculate until every input is valid.
Example
The form opens with 30° as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The steeper leg (the one nearer vertical) carries more of the load.
Get it right
If both legs are equal the split is even; the sling tension tool covers that case.

Eyebolt capacity

What this means: Rated vertical working load limit per eyebolt
Illustration: Rated vertical working load limit per eyeboltA weight resting on a scale; Rated vertical working load limit per eyebolt is how much matter it contains, in kilograms or grams.WLLExample: 1500 kgRated vertical working load limit per eyebolt
What it is
The working load limit marked on the eyebolt for a straight vertical pull in line with its shank.
Units and format
Enter a number in kg: kilograms. The form accepts 0.000001 kg to 10000000 kg. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1500 kg as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Each eyebolt’s capacity at its angle rises in proportion.
Get it right
Read it from the eyebolt’s marking or certificate; an unmarked eyebolt should not be used.
What this means: Share of the rated load allowed at the leg 1 an…
Illustration: Share of the rated load allowed at the leg 1 angleA bar of 100 parts with the share marked; Share of the rated load allowed at the leg 1 angle is that share out of 100. The bar follows the value you type.0 %100 %s₁Example: 55%Share of the rated load allowed at the leg 1…
What it is
The share of the vertical rating the eyebolt maker allows when pulled at the angle of leg 1, with the eyebolt seated and the eye aligned with the pull.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 0% to 100%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 55% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Eyebolt 1’s capacity rises in proportion.
Get it right
Take it from the maker’s angle table for that eyebolt type; plain eyebolts are often not rated for angled pulls at all.
What this means: Share of the rated load allowed at the leg 2 an…
Illustration: Share of the rated load allowed at the leg 2 angleA bar of 100 parts with the share marked; Share of the rated load allowed at the leg 2 angle is that share out of 100. The bar follows the value you type.0 %100 %s₂Example: 55%Share of the rated load allowed at the leg 2…
What it is
The share of the vertical rating the eyebolt maker allows when pulled at the angle of leg 2, with the eyebolt seated and the eye aligned with the pull.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 0% to 100%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 55% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Eyebolt 2’s capacity rises in proportion.
Get it right
Take it from the maker’s angle table for that eyebolt type.

Thread

What this means: Eyebolt thread diameter
Illustration: Eyebolt thread diameterA screw-thread profile with crests and roots, the pitch from crest to crest and the major and minor diameters, for Eyebolt thread diameter.pitchmajorminordExample: 20 mmEyebolt thread diameter
What it is
The nominal diameter of the eyebolt’s thread, used to express the thread engagement as a multiple of the diameter.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 200 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 20 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Sets the engagement ratio.
Get it right
Use the thread size marked on the eyebolt, such as 20 mm for an M20.
What this means: Thread engagement in the load
Illustration: Thread engagement in the loadA bar with a dimension line and arrows from one end to the other, marking the length Thread engagement in the load.LeExample: 30 mmThread engagement in the load
What it is
The length of eyebolt thread actually engaged in the tapped hole of the load.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 1000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 30 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A longer engagement raises the engagement ratio.
Get it right
Measure the tapped depth of full thread; a short or damaged tapped hole is a common cause of failure.
What this means: Least engagement as a multiple of the thread di…
Illustration: Least engagement as a multiple of the thread diameterTwo wheels of different sizes linked together; Least engagement as a multiple of the thread diameter compares one with the other.Le/dExample: 1.5Least engagement as a multiple of the thread…
What it is
The least thread engagement your practice or the eyebolt maker requires for this load material, as a multiple of the thread diameter.
Units and format
Enter a plain number with no unit. The form accepts 0 to 10. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1.5 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Only moves the engagement pass line.
Get it right
Softer materials such as aluminium or cast iron need deeper engagement than steel.

Method and formulas

  1. Equilibrium of the hook: T₁ sin a₁ = T₂ sin a₂ and T₁ cos a₁ + T₂ cos a₂ = W, giving T₁ = W sin a₂ ÷ sin(a₁ + a₂) and T₂ = W sin a₁ ÷ sin(a₁ + a₂).
  2. Vertical share T cos a; sideways pull T sin a (equal on both eyebolts).
  3. Capacity at the angle = rated vertical load × allowed share; compare each leg tension with its capacity.
  4. Engagement ratio = engaged length ÷ thread diameter, against the requirement.
  5. Example: legs at 45° and 30° carry 517.64 kg and 732.05 kg of a 1000 kg load, with a sideways pull of 366.03 kg on each eyebolt.

Limitations

  • Two legs meeting at one hook, with the load hanging still; dynamic effects of lifting and stopping are not included.
  • The allowed share at an angle comes from the eyebolt maker and applies only to eyebolts made for angular loading, fully seated and aligned with the pull.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Check eyebolts on a load lifted with unequal sling legs
  • Find the tension and sideways pull on each eyebolt
  • Check that each eyebolt is engaged deeply enough

Who it is for

  • Riggers and lifting supervisors
  • Machine designers
  • Maintenance engineers

What you get

  • Tension in each leg
  • Vertical share and sideways pull on each eyebolt
  • Each tension against the eyebolt capacity at its angle
  • Thread engagement ratio

Interpreting the result

  • With unequal legs the steeper leg carries more of the load, so dividing the load by the number of eyebolts understates the heavier one.
  • Side pull is what bends and breaks eyebolts; plain eyebolts without a shoulder are for vertical lifts only.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 2613–2650, 3450. Topic reference; no source tables or recommended settings are reproduced.
  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 1536–1537. Topic reference; no source tables or recommended settings are reproduced.

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Open the Eyebolt Lift Check (Unequal Leg Tensions, Angled Capacity, Thread Engagement) calculator