Maximum Efficiency of Square Threaded Screw Calculator

✖Coefficient of friction at screw thread is the ratio defining the force that resists the motion of the nut in relation to the threads in contact with it.ⓘ Coefficient of friction at screw thread [μ]

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✖Maximum Efficiency of Power Screw is defined as the maximum amount of Power that is usefully transferred by the power screw.ⓘ Maximum Efficiency of Square Threaded Screw [η_max]

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Formula

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Maximum Efficiency of Square Threaded Screw

Formula

`"η"_{"max"} = (1-sin(atan("μ")))/(1+sin(atan("μ")))`

Example

`"0.741644"=(1-sin(atan("0.15")))/(1+sin(atan("0.15")))`

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Maximum Efficiency of Square Threaded Screw Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Efficiency of Power Screw = (1-sin(atan(Coefficient of friction at screw thread)))/(1+sin(atan(Coefficient of friction at screw thread)))
η_max = (1-sin(atan(μ)))/(1+sin(atan(μ)))
This formula uses 3 Functions, 2 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

Maximum Efficiency of Power Screw - Maximum Efficiency of Power Screw is defined as the maximum amount of Power that is usefully transferred by the power screw.
Coefficient of friction at screw thread - Coefficient of friction at screw thread is the ratio defining the force that resists the motion of the nut in relation to the threads in contact with it.

STEP 1: Convert Input(s) to Base Unit

Coefficient of friction at screw thread: 0.15 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_max = (1-sin(atan(μ)))/(1+sin(atan(μ))) --> (1-sin(atan(0.15)))/(1+sin(atan(0.15)))

Evaluating ... ...

η_max = 0.74164377375765

STEP 3: Convert Result to Output's Unit

0.74164377375765 --> No Conversion Required

FINAL ANSWER

0.74164377375765 ≈ 0.741644 <-- Maximum Efficiency of Power Screw

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Power Screws » Torque Requirement in Lifting Load using Square Threaded Screw » Maximum Efficiency of Square Threaded Screw

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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K J Somaiya College of Engineering (K J Somaiya), Mumbai

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< 16 Torque Requirement in Lifting Load using Square Threaded Screw Calculators

Coefficient of Friction of Power Screw given Torque Required to Lift Load

Go Coefficient of friction at screw thread = ((2*Torque for lifting load/Mean Diameter of Power Screw)-Load on screw*tan(Helix angle of screw))/(Load on screw-(2*Torque for lifting load/Mean Diameter of Power Screw)*tan(Helix angle of screw))

Helix Angle of Power Screw given Torque Required to Lift Load

Go Helix angle of screw = atan((2*Torque for lifting load-Load on screw*Mean Diameter of Power Screw*Coefficient of friction at screw thread)/(2*Torque for lifting load*Coefficient of friction at screw thread+Load on screw*Mean Diameter of Power Screw))

Load on Power Screw given Torque Required to Lift Load

Go Load on screw = (2*Torque for lifting load/Mean Diameter of Power Screw)*((1-Coefficient of friction at screw thread*tan(Helix angle of screw))/(Coefficient of friction at screw thread+tan(Helix angle of screw)))

Torque Required to Lift Load given Load

Go Torque for lifting load = (Load on screw*Mean Diameter of Power Screw/2)*((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))

Efficiency of Square Threaded Power Screw

Go Efficiency of power screw = tan(Helix angle of screw)/((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))

Coefficient of Friction for Screw Thread given Efficiency of Square Threaded Screw

Go Coefficient of friction at screw thread = (tan(Helix angle of screw)*(1-Efficiency of power screw))/(tan(Helix angle of screw)*tan(Helix angle of screw)+Efficiency of power screw)

Coefficient of Friction of Power Screw given Effort Required to Lift Load

Go Coefficient of friction at screw thread = (Effort in lifting load-Load on screw*tan(Helix angle of screw))/(Load on screw+Effort in lifting load*tan(Helix angle of screw))

Helix Angle of Power Screw given Effort Required to Lift Load

Go Helix angle of screw = atan((Effort in lifting load-Load on screw*Coefficient of friction at screw thread)/(Effort in lifting load*Coefficient of friction at screw thread+Load on screw))

Load on Power Screw given Effort Required to Lift Load

Go Load on screw = Effort in lifting load/((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))

Effort Required in Lifting load using Power Screw

Go Effort in lifting load = Load on screw*((Coefficient of friction at screw thread+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*tan(Helix angle of screw)))

Maximum Efficiency of Square Threaded Screw

Go Maximum Efficiency of Power Screw = (1-sin(atan(Coefficient of friction at screw thread)))/(1+sin(atan(Coefficient of friction at screw thread)))

External Torque required to raise Load given Efficiency

Go Torsional Moment on Screw = Axial load on screw*Lead of Power Screw/(2*pi*Efficiency of power screw)

Load on Screw given Overall Efficiency

Go Axial load on screw = 2*pi*Torsional Moment on Screw*Efficiency of power screw/Lead of Power Screw

Effort Required to Lift Load given Torque Required to Lift Load

Go Effort in lifting load = 2*Torque for lifting load/Mean Diameter of Power Screw

Mean Diameter of Power Screw given Torque Required to Lift Load

Go Mean Diameter of Power Screw = 2*Torque for lifting load/Effort in lifting load

Torque Required to Lift Load given Effort

Go Torque for lifting load = Effort in lifting load*Mean Diameter of Power Screw/2

Maximum Efficiency of Square Threaded Screw Formula

Maximum Efficiency of Power Screw = (1-sin(atan(Coefficient of friction at screw thread)))/(1+sin(atan(Coefficient of friction at screw thread)))
η_max = (1-sin(atan(μ)))/(1+sin(atan(μ)))

Define Coefficient of Friction?

Coefficient of Friction is Defined as the ratio of the tangential force that is needed to start or to maintain uniform relative motion between two contacting surfaces to the perpendicular force holding them in contact, the ratio usually being larger for starting than for moving friction

How to Calculate Maximum Efficiency of Square Threaded Screw?

Maximum Efficiency of Square Threaded Screw calculator uses Maximum Efficiency of Power Screw = (1-sin(atan(Coefficient of friction at screw thread)))/(1+sin(atan(Coefficient of friction at screw thread))) to calculate the Maximum Efficiency of Power Screw, The Maximum Efficiency of Square Threaded Screw formula is defined as a measurement of how much of the desired work or product is obtained from each unit of energy invested into that task or product. Maximum Efficiency of Power Screw is denoted by η_max symbol.

How to calculate Maximum Efficiency of Square Threaded Screw using this online calculator? To use this online calculator for Maximum Efficiency of Square Threaded Screw, enter Coefficient of friction at screw thread (μ) and hit the calculate button. Here is how the Maximum Efficiency of Square Threaded Screw calculation can be explained with given input values -> 0.741644 = (1-sin(atan(0.15)))/(1+sin(atan(0.15))).

FAQ

What is Maximum Efficiency of Square Threaded Screw?

The Maximum Efficiency of Square Threaded Screw formula is defined as a measurement of how much of the desired work or product is obtained from each unit of energy invested into that task or product and is represented as η_max = (1-sin(atan(μ)))/(1+sin(atan(μ))) or Maximum Efficiency of Power Screw = (1-sin(atan(Coefficient of friction at screw thread)))/(1+sin(atan(Coefficient of friction at screw thread))). Coefficient of friction at screw thread is the ratio defining the force that resists the motion of the nut in relation to the threads in contact with it.

How to calculate Maximum Efficiency of Square Threaded Screw?

The Maximum Efficiency of Square Threaded Screw formula is defined as a measurement of how much of the desired work or product is obtained from each unit of energy invested into that task or product is calculated using Maximum Efficiency of Power Screw = (1-sin(atan(Coefficient of friction at screw thread)))/(1+sin(atan(Coefficient of friction at screw thread))). To calculate Maximum Efficiency of Square Threaded Screw, you need Coefficient of friction at screw thread (μ). With our tool, you need to enter the respective value for Coefficient of friction at screw thread and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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