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Effort Required in Lifting Load with Acme Threaded Screw Formula

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Effort in lifting load is the force required to overcome the resistance to lift the load. Check FAQs

P li = W \cdot (\frac{μ \cdot \sec ((0.253)) + \tan (α)}{1 - μ \cdot \sec ((0.253)) \cdot \tan (α)})

P_li - Effort in lifting load?W - Load on screw?μ - Coefficient of friction at screw thread?α - Helix angle of screw?

Effort Required in Lifting Load with Acme Threaded Screw Example

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Here is how the Effort Required in Lifting Load with Acme Threaded Screw equation looks like with Values.

Here is how the Effort Required in Lifting Load with Acme Threaded Screw equation looks like with Units.

Here is how the Effort Required in Lifting Load with Acme Threaded Screw equation looks like.

402.0803 = 1700 \cdot (\frac{0.15 \cdot \sec ((0.253)) + \tan (4.5)}{1 - 0.15 \cdot \sec ((0.253)) \cdot \tan (4.5)})

402.0803N = 1700N \cdot (\frac{0.15 \cdot \sec ((0.253)) + \tan (4.5°)}{1 - 0.15 \cdot \sec ((0.253)) \cdot \tan (4.5°)})

402.0803 = 1700 \cdot (\frac{0.15 \cdot \sec ((0.253)) + \tan (4.5)}{1 - 0.15 \cdot \sec ((0.253)) \cdot \tan (4.5)})

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Effort Required in Lifting Load with Acme Threaded Screw Solution

Follow our step by step solution on how to calculate Effort Required in Lifting Load with Acme Threaded Screw?

FIRST Step Consider the formula

P li = W \cdot (\frac{μ \cdot \sec ((0.253)) + \tan (α)}{1 - μ \cdot \sec ((0.253)) \cdot \tan (α)})

Next Step Substitute values of Variables

∴

P li = 1700N \cdot (\frac{0.15 \cdot \sec ((0.253)) + \tan (4.5°)}{1 - 0.15 \cdot \sec ((0.253)) \cdot \tan (4.5°)})

Next Step Convert Units

∴

P li = 1700N \cdot (\frac{0.15 \cdot \sec ((0.253)) + \tan (0.0785rad)}{1 - 0.15 \cdot \sec ((0.253)) \cdot \tan (0.0785rad)})

Next Step Prepare to Evaluate

∴

P li = 1700 \cdot (\frac{0.15 \cdot \sec ((0.253)) + \tan (0.0785)}{1 - 0.15 \cdot \sec ((0.253)) \cdot \tan (0.0785)})

Next Step Evaluate

∴

P li = 402.080261879239N

LAST Step Rounding Answer

∴

P li = 402.0803N

Effort Required in Lifting Load with Acme Threaded Screw Formula Elements

Variables

Functions

Effort in lifting load

Effort in lifting load is the force required to overcome the resistance to lift the load.

Symbol: P_li

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Effort in lifting load

Load on screw

Load on screw is defined as the weight (force) of the body that is acted upon the screw threads.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load on 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.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of friction at screw thread

Helix angle of screw

Helix angle of screw is defined as the angle subtended between this unwound circumferential line and the pitch of the helix.

Symbol: α

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Helix angle of screw

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.

Syntax: tan(Angle)

sec

Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

Syntax: sec(Angle)

Other formulas in Acme Thread category

Go Helix Angle of Power Screw given Torque Required in Lifting Load with Acme Threaded Screw

α = a \tan (\frac{2 \cdot Mt li - W \cdot d m \cdot μ \cdot \sec (0.253 \cdot \frac{π}{180})}{W \cdot d m + 2 \cdot Mt li \cdot μ \cdot \sec (0.253 \cdot \frac{π}{180})})

Go Coefficient of Friction of Power Screw given Torque Required in Lifting Load with Acme Thread

μ = \frac{2 \cdot Mt li - W \cdot d m \cdot \tan (α)}{\sec (0.253) \cdot (W \cdot d m + 2 \cdot Mt li \cdot \tan (α))}

Go Load on Power Screw given Torque Required in Lifting Load with Acme Threaded Screw

W = 2 \cdot Mt li \cdot \frac{1 - μ \cdot \sec ((0.253)) \cdot \tan (α)}{d m \cdot (μ \cdot \sec ((0.253)) + \tan (α))}

Go Torque Required in Lifting Load with Acme Threaded Power Screw

Mt li = 0.5 \cdot d m \cdot W \cdot (\frac{μ \cdot \sec ((0.253)) + \tan (α)}{1 - μ \cdot \sec ((0.253)) \cdot \tan (α)})

How to Evaluate Effort Required in Lifting Load with Acme Threaded Screw?

Effort Required in Lifting Load with Acme Threaded Screw evaluator uses Effort in lifting load = Load on screw*((Coefficient of friction at screw thread*sec((0.253))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))) to evaluate the Effort in lifting load, Effort Required in Lifting Load with Acme Threaded Screw formula is defined as the amount of force that is to be applied to lift the load and this force is transmitted as a torque. Effort in lifting load is denoted by P_li symbol.

How to evaluate Effort Required in Lifting Load with Acme Threaded Screw using this online evaluator? To use this online evaluator for Effort Required in Lifting Load with Acme Threaded Screw, enter Load on screw (W), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) and hit the calculate button.

FAQs on Effort Required in Lifting Load with Acme Threaded Screw

What is the formula to find Effort Required in Lifting Load with Acme Threaded Screw?

The formula of Effort Required in Lifting Load with Acme Threaded Screw is expressed as Effort in lifting load = Load on screw*((Coefficient of friction at screw thread*sec((0.253))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))). Here is an example- 402.0803 = 1700*((0.15*sec((0.253))+tan(0.0785398163397301))/(1-0.15*sec((0.253))*tan(0.0785398163397301))).

How to calculate Effort Required in Lifting Load with Acme Threaded Screw?

With Load on screw (W), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) we can find Effort Required in Lifting Load with Acme Threaded Screw using the formula - Effort in lifting load = Load on screw*((Coefficient of friction at screw thread*sec((0.253))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))). This formula also uses Tangent, Secant Function function(s).

Can the Effort Required in Lifting Load with Acme Threaded Screw be negative?

No, the Effort Required in Lifting Load with Acme Threaded Screw, measured in Force cannot be negative.

Which unit is used to measure Effort Required in Lifting Load with Acme Threaded Screw?

Effort Required in Lifting Load with Acme Threaded Screw is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Effort Required in Lifting Load with Acme Threaded Screw can be measured.

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Effort Required in Lifting Load with Acme Threaded Screw Formula

Effort Required in Lifting Load with Acme Threaded Screw Example

Effort Required in Lifting Load with Acme Threaded Screw Solution

Effort Required in Lifting Load with Acme Threaded Screw Formula Elements

Other formulas in Acme Thread category

How to Evaluate Effort Required in Lifting Load with Acme Threaded Screw?

FAQs on Effort Required in Lifting Load with Acme Threaded Screw

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