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Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Formula

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

GoLoad on Power Screw given Effort Required in Lifting Load with Acme Threaded Screw Formula

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

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

W - Load on screw?Mt_lo - Torque for lowering load?μ - Coefficient of friction at screw thread?α - Helix angle of screw?d_m - Mean Diameter of Power Screw?

Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Example

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Here is how the Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw equation looks like.

1708.8307 = 2 \cdot 2960 \cdot \frac{1 + 0.15 \cdot \sec ((0.253)) \cdot \tan (4.5)}{46 \cdot (0.15 \cdot \sec ((0.253)) - \tan (4.5))}

1708.8307N = 2 \cdot 2960N*mm \cdot \frac{1 + 0.15 \cdot \sec ((0.253)) \cdot \tan (4.5°)}{46mm \cdot (0.15 \cdot \sec ((0.253)) - \tan (4.5°))}

1708.8307 = 2 \cdot 2960 \cdot \frac{1 + 0.15 \cdot \sec ((0.253)) \cdot \tan (4.5)}{46 \cdot (0.15 \cdot \sec ((0.253)) - \tan (4.5))}

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Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Solution

Follow our step by step solution on how to calculate Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W = 2 \cdot 2960N*mm \cdot \frac{1 + 0.15 \cdot \sec ((0.253)) \cdot \tan (4.5°)}{46mm \cdot (0.15 \cdot \sec ((0.253)) - \tan (4.5°))}

Next Step Convert Units

∴

W = 2 \cdot 2.96N*m \cdot \frac{1 + 0.15 \cdot \sec ((0.253)) \cdot \tan (0.0785rad)}{0.046m \cdot (0.15 \cdot \sec ((0.253)) - \tan (0.0785rad))}

Next Step Prepare to Evaluate

∴

W = 2 \cdot 2.96 \cdot \frac{1 + 0.15 \cdot \sec ((0.253)) \cdot \tan (0.0785)}{0.046 \cdot (0.15 \cdot \sec ((0.253)) - \tan (0.0785))}

Next Step Evaluate

∴

W = 1708.83071132957N

LAST Step Rounding Answer

∴

W = 1708.8307N

Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Formula Elements

Variables

Functions

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

Torque for lowering load

Torque for lowering load is described as the turning effect of force on the axis of rotation that is required in lowering the load.

Symbol: Mt_lo

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torque for lowering load

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

Mean Diameter of Power Screw

Mean Diameter of Power Screw is the average diameter of the bearing surface - or more accurately, twice the average distance from the centreline of the thread to the bearing surface.

Symbol: d_m

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Diameter of Power 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 to find Load on screw

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 Load on Power Screw given Effort Required in Lifting Load with Acme Threaded Screw

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

Go Load on Power Screw given Effort Required in Lowering Load with Acme Threaded Screw

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

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 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)})

Go Coefficient of Friction of Power Screw given Effort in Moving Load with Acme Threaded Screw

μ = \frac{P li - W \cdot \tan (α)}{\sec (14.5 \cdot \frac{π}{180}) \cdot (W + P li \cdot \tan (α))}

How to Evaluate Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw?

Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw evaluator uses Load on screw = 2*Torque for lowering load*(1+Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))/(Mean Diameter of Power Screw*(Coefficient of friction at screw thread*sec((0.253))-tan(Helix angle of screw))) to evaluate the Load on screw, Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw formula is defined as a heavy or a bulky object that requires effort to move or lift the load. The effort is an applied force to bring desired change to the position (push or lift) of the load. Load on screw is denoted by W symbol.

How to evaluate Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw using this online evaluator? To use this online evaluator for Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw, enter Torque for lowering load (Mt_lo), Coefficient of friction at screw thread (μ), Helix angle of screw (α) & Mean Diameter of Power Screw (d_m) and hit the calculate button.

FAQs on Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw

What is the formula to find Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw?

The formula of Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw is expressed as Load on screw = 2*Torque for lowering load*(1+Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))/(Mean Diameter of Power Screw*(Coefficient of friction at screw thread*sec((0.253))-tan(Helix angle of screw))). Here is an example- 1708.831 = 2*2.96*(1+0.15*sec((0.253))*tan(0.0785398163397301))/(0.046*(0.15*sec((0.253))-tan(0.0785398163397301))).

How to calculate Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw?

With Torque for lowering load (Mt_lo), Coefficient of friction at screw thread (μ), Helix angle of screw (α) & Mean Diameter of Power Screw (d_m) we can find Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw using the formula - Load on screw = 2*Torque for lowering load*(1+Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))/(Mean Diameter of Power Screw*(Coefficient of friction at screw thread*sec((0.253))-tan(Helix angle of screw))). This formula also uses Tangent (tan), Secant (sec) function(s).

What are the other ways to Calculate Load on screw?

Here are the different ways to Calculate Load on screw-

Load on screw=2*Torque for lifting load*(1-Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))/(Mean Diameter of Power Screw*(Coefficient of friction at screw thread*sec((0.253))+tan(Helix angle of screw)))
Load on screw=Effort in lifting load*(1-Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))/(Coefficient of friction at screw thread*sec((0.253))+tan(Helix angle of screw))
Load on screw=Effort in lowering load*(1+Coefficient of friction at screw thread*sec((0.253))*tan(Helix angle of screw))/(Coefficient of friction at screw thread*sec((0.253))-tan(Helix angle of screw))

Can the Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw be negative?

No, the Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw, measured in Force cannot be negative.

Which unit is used to measure Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw?

Load on Power Screw given Torque Required in Lowering 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 Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw can be measured.

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Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Formula

​GoLoad on Power Screw given Torque Required in Lifting Load with Acme Threaded Screw Formula

​GoLoad on Power Screw given Effort Required in Lifting Load with Acme Threaded Screw Formula

Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Example

Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Solution

Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw Formula Elements

Other Formulas to find Load on screw

Other formulas in Acme Thread category

How to Evaluate Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw?

FAQs on Load on Power Screw given Torque Required in Lowering Load with Acme Threaded Screw

Variable Name

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

GoLoad on Power Screw given Effort Required in Lifting Load with Acme Threaded Screw Formula