BIZOMAT MAKEOS · Hydraulics

Sluice Gate Lift Check (Water Force, Seal Friction, Screw Torque, Handwheel Effort)

For a screw-operated sluice or penstock gate holding back water, what force does the water put on it, what force lifts it against seal friction, and can one person turn the handwheel?

Check of a vertical sliding gate opened by a screw spindle: the water force on the gate and where it acts (as the hydrostatic force tool), the lifting force from the gate weight and the friction of the seals and guides under that force, the torque to raise the load on the spindle thread and thrust collar and whether the screw holds without a brake (as the power screw torque tool), and the rim effort on the handwheel through any reduction gearing, against your effort limit.

Open the calculatorRuns in your browser. No account needed.

How this tool works

Inputs, units and where to find them

InputUnitTypical source
Water depth on the gatemDepth of water against the gate, from the gate bottom.
Gate widthmWidth of the gate across the opening.
Water densitykg/m³Density of the water or liquid.
Gate and spindle masskgMass of the gate leaf and the part of the spindle that moves with it.
Seal and guide friction coefficientFriction between the gate seals and guides and their seats under water load.
Spindle
Mean (pitch) diameter of threadmmMean diameter of the spindle thread.
LeadmmLead of the spindle thread.
Thread formchoiceThread form.
Thread friction coefficientThread friction.
Mean collar diametermmMean diameter of the thrust collar or bearing.
Collar friction coefficientCollar friction (small for a ball thrust bearing).
Handwheel
Handwheel radiusmmRadius of the handwheel rim.
Reduction (handwheel turns per spindle turn)Handwheel turns for one turn of the spindle nut (1 for direct drive).
Gearing efficiency%Efficiency of any gearing between handwheel and spindle.
Largest handwheel effortNLargest rim force one person should apply.

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: Water depth on the gate
Illustration: Water depth on the gateA block with a vertical dimension line from its base to its top, marking the height Water depth on the gate.hExample: 2 mWater depth on the gate
What it is
The height of the water surface above the bottom of the closed gate. The water pushes the gate against its seals with a force that grows with this depth.
Units and format
Enter a number in m: metres. The form accepts 0.000001 m to 100 m. Required: the tool does not calculate until every input is valid.
Example
The form opens with 2 m as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The water force, and so the seal friction, grows with the square of the depth.
Get it right
Use the highest upstream level the gate must be opened against, measured from the gate sill.
What this means: Gate width
Illustration: Gate widthA bar with a dimension line and arrows from one end to the other, marking the length Gate width.wExample: 1.2 mGate width
What it is
The width of the gate leaf across the opening, over which the water pressure acts.
Units and format
Enter a number in m: metres. The form accepts 0.000001 m to 100 m. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1.2 m as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The water force rises in direct proportion to the width.
Get it right
Use the wetted width between the side seals, not the overall frame width.
What this means: Water density
Illustration: Water densityA cube of material: density Water density is its mass divided by the volume it fills.massvolumeρExample: 1000 kg/m³Water density
What it is
Mass per cubic metre of the water or liquid held back by the gate.
Units and format
Enter a number in kg/m³: kilograms per cubic metre. The form accepts 0.000001 kg/m³ to 25000 kg/m³. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1000 kg/m³ as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The water force rises in direct proportion to the density.
Get it right
Use the density for the actual liquid; sea water and slurries are denser than fresh water.
What this means: Gate and spindle mass
Illustration: Gate and spindle massA weight resting on a scale; Gate and spindle mass is how much matter it contains, in kilograms or grams.mExample: 150 kgGate and spindle mass
What it is
The mass of the gate leaf plus the part of the spindle that rises with it, which the spindle must lift on top of seal friction.
Units and format
Enter a number in kg: kilograms. The form accepts 0 kg to 1000000 kg. Required: the tool does not calculate until every input is valid.
Example
The form opens with 150 kg as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Weigh it or take it from the drawings; the tool does not deduct buoyancy.
What this means: Seal and guide friction coefficient
Illustration: Seal and guide friction coefficientA block resting on a surface with the normal force pressing down and friction resisting sliding; Seal and guide friction coefficient is friction force divided by normal force.Nfrictionμ_sExample: 0.3Seal and guide friction coefficient
What it is
The friction coefficient between the gate’s seals and guides and the seats they slide on while the water pushes the gate closed.
Units and format
Enter a plain number with no unit. The form accepts 0 to 2. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.3 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
The friction part of the lifting force rises in direct proportion.
Get it right
Take it from the seal maker for the seal material and seat; dry or fouled seats grip much more.

Spindle

What this means: Mean (pitch) diameter of thread
Illustration: Mean (pitch) diameter of threadA screw-thread profile with crests and roots, the pitch from crest to crest and the major and minor diameters, for Mean (pitch) diameter of thread.pitchmajorminord_mExample: 30 mmMean (pitch) diameter of thread
What it is
The mean or pitch diameter of the spindle thread, halfway between its crests and roots, where the thread force is taken to act.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 10000 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.
Get it right
Use the pitch diameter, not the nominal outside diameter of the spindle.
What this means: Lead
Illustration: LeadA screw-thread profile with crests and roots, the pitch from crest to crest and the major and minor diameters, for Lead.pitchmajorminorlExample: 6 mmLead
What it is
How far the spindle nut advances along the thread in one full turn. For a single-start thread it equals the pitch; for multi-start threads it is pitch times starts.
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 6 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A larger lead lifts faster but needs more torque and may stop the gate holding itself.
Get it right
Do not enter the pitch of a multi-start thread as the lead.
What this means: Thread form
Illustration: Thread formThe options for Thread form, with the one currently selected highlighted.SquareAcme (29°)Trapezoidal (30°)Example: Trapezoidal (30°)Thread form
What it is
The shape of the spindle thread. Inclined flanks press harder on the nut than a square thread, which adds friction.
Units and format
Choose one of 3 options from the list: Square; Acme (29°); Trapezoidal (30°).
Example
The form opens with “Trapezoidal (30°)” selected as a worked example. Choose the option that matches your case.
Get it right
Check the thread standard on the spindle drawing; Acme and trapezoidal look similar but have different flank angles.
What this means: Thread friction coefficient
Illustration: Thread friction coefficientA block resting on a surface with the normal force pressing down and friction resisting sliding; Thread friction coefficient is friction force divided by normal force.NfrictionμExample: 0.12Thread friction coefficient
What it is
The friction coefficient between the spindle thread and its nut.
Units and format
Enter a plain number with no unit. The form accepts 0 to 1. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.12 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Take it from a power-screw reference or the nut maker for the materials and lubrication.
What this means: Mean collar diameter
Illustration: Mean collar diameterA circle with a line straight through its centre from edge to edge, marking the diameter Mean collar diameter.d_cmeasured acrossthe centreExample: 45 mmMean collar diameter
What it is
The mean diameter of the thrust collar or bearing that carries the lifting force where the spindle or nut turns against the frame.
Units and format
Enter a number in mm: millimetres. The form accepts 0 mm to 10000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 45 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Collar friction torque rises in direct proportion to this diameter.
Get it right
Measure to the middle of the bearing face, halfway between its inner and outer edges.
What this means: Collar friction coefficient
Illustration: Collar friction coefficientA block resting on a surface with the normal force pressing down and friction resisting sliding; Collar friction coefficient is friction force divided by normal force.Nfrictionμ_cExample: 0.12Collar friction coefficient
What it is
The friction coefficient of the thrust collar or bearing under the lifting force.
Units and format
Enter a plain number with no unit. The form accepts 0 to 1. Required: the tool does not calculate until every input is valid.
Example
The form opens with 0.12 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Use the rolling friction value from the bearing maker if a thrust ball bearing is fitted.

Handwheel

What this means: Handwheel radius
Illustration: Handwheel radiusA circle with a line from its centre to its edge, marking the radius Handwheel radius; the radius is half the diameter.Rcentre to edge= half the diameterExample: 300 mmHandwheel radius
What it is
The radius of the handwheel rim the operator pulls on, from the spindle axis to the hand position.
Units and format
Enter a number in mm: millimetres. The form accepts 0.000001 mm to 5000 mm. Required: the tool does not calculate until every input is valid.
Example
The form opens with 300 mm as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Rim effort falls in direct proportion as the radius grows.
Get it right
Radius, not diameter: halve the wheel diameter.
What this means: Reduction (handwheel turns per spindle turn)
Illustration: Reduction (handwheel turns per spindle turn)Two wheels of different sizes linked together; Reduction (handwheel turns per spindle turn) compares one with the other.iExample: 1Reduction (handwheel turns per spindle turn)
What it is
How many handwheel turns make the spindle nut turn once, from any gearing between them.
Units and format
Enter a plain number with no unit. The form accepts 1 to 1000. Required: the tool does not calculate until every input is valid.
Example
The form opens with 1 as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A larger reduction lowers the rim effort but takes more turns.
Get it right
Use 1 for a handwheel fixed straight to the nut or spindle.
What this means: Gearing efficiency
Illustration: Gearing efficiencyInput on the left and useful output on the right with the loss split off; Gearing efficiency is output divided by input.inputuseful outputlossηExample: 100%Gearing efficiency
What it is
The efficiency of any gearing between the handwheel and the spindle.
Units and format
Enter a number in %: percent: the number is read as a percentage, so type 8 for 8 %. The form accepts 10% to 100%. Required: the tool does not calculate until every input is valid.
Example
The form opens with 100% as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A lower efficiency raises the rim effort.
Get it right
Type the percentage itself; use 100 when there is no gearing.
What this means: Largest handwheel effort
Illustration: Largest handwheel effortA block with an arrow pushing on it; the arrow is the force Largest handwheel effort.FExample: 250 NLargest handwheel effort
What it is
The largest force on the handwheel rim you accept for one operator. The calculated effort is checked against it.
Units and format
Enter a number in N: newtons. The form accepts 0.000001 N to 100000 N. Required: the tool does not calculate until every input is valid.
Example
The form opens with 250 N as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Take it from the manual handling or ergonomic guidance that applies on your site.

Method and formulas

  1. Water force = ρ g w h² ÷ 2, acting h ÷ 3 above the bottom (as the hydrostatic force tool).
  2. Lifting force = gate weight + friction coefficient × water force.
  3. Spindle torque to raise (thread and collar) and self-locking (as the power screw torque tool); handwheel effort = torque ÷ (gearing × efficiency) ÷ rim radius.
  4. Example: 23.536 kN of water force; 8,531.8 N to lift; 157.58 N at the handwheel.

Limitations

  • Gate fully closed with water on one side only; the first crack open, with flow under the gate, can be harder.
  • Static friction taken as the coefficient given; silt and corrosion raise it a lot.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Check a manual penstock or sluice gate
  • Size the spindle and handwheel for a channel gate
  • Decide whether a gearbox or actuator is needed

Who it is for

  • Civil and water engineers
  • Maintenance engineers
  • Plant engineers

What you get

  • Water force and its height
  • Lifting force
  • Spindle torque and handwheel effort

Interpreting the result

  • The water force grows with the square of the depth, so the effort can double for a modest rise in level.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 3024–3027, 1921–1928. Topic reference; no source tables or recommended settings are reproduced.

BIZOMAT tools are screening and decision-support utilities. Verify important financial, engineering, safety, legal or operational decisions using appropriate professional standards and your organisation’s approved data.

Open the Sluice Gate Lift Check (Water Force, Seal Friction, Screw Torque, Handwheel Effort) calculator