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Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw Formula

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

GoLoad on Screw given Torque Required in Lifting Load with Trapezoidal 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 = \frac{Mt lo}{0.5 \cdot d m \cdot (\frac{(μ \cdot \sec ((0.2618))) - \tan (α)}{1 + (μ \cdot \sec ((0.2618)) \cdot \tan (α))})}

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

Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw Example

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

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

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

1700.8613 = \frac{2960}{0.5 \cdot 46 \cdot (\frac{(0.15 \cdot \sec ((0.2618))) - \tan (4.5)}{1 + (0.15 \cdot \sec ((0.2618)) \cdot \tan (4.5))})}

1700.8613N = \frac{2960N*mm}{0.5 \cdot 46mm \cdot (\frac{(0.15 \cdot \sec ((0.2618))) - \tan (4.5°)}{1 + (0.15 \cdot \sec ((0.2618)) \cdot \tan (4.5°))})}

1700.8613 = \frac{2960}{0.5 \cdot 46 \cdot (\frac{(0.15 \cdot \sec ((0.2618))) - \tan (4.5)}{1 + (0.15 \cdot \sec ((0.2618)) \cdot \tan (4.5))})}

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Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw Solution

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

FIRST Step Consider the formula

W = \frac{Mt lo}{0.5 \cdot d m \cdot (\frac{(μ \cdot \sec ((0.2618))) - \tan (α)}{1 + (μ \cdot \sec ((0.2618)) \cdot \tan (α))})}

Next Step Substitute values of Variables

∴

W = \frac{2960N*mm}{0.5 \cdot 46mm \cdot (\frac{(0.15 \cdot \sec ((0.2618))) - \tan (4.5°)}{1 + (0.15 \cdot \sec ((0.2618)) \cdot \tan (4.5°))})}

Next Step Convert Units

∴

W = \frac{2.96N*m}{0.5 \cdot 0.046m \cdot (\frac{(0.15 \cdot \sec ((0.2618))) - \tan (0.0785rad)}{1 + (0.15 \cdot \sec ((0.2618)) \cdot \tan (0.0785rad))})}

Next Step Prepare to Evaluate

∴

W = \frac{2.96}{0.5 \cdot 0.046 \cdot (\frac{(0.15 \cdot \sec ((0.2618))) - \tan (0.0785)}{1 + (0.15 \cdot \sec ((0.2618)) \cdot \tan (0.0785))})}

Next Step Evaluate

∴

W = 1700.86126964105N

LAST Step Rounding Answer

∴

W = 1700.8613N

Load on Screw given Torque Required in Lowering Load with Trapezoidal 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

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

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 to find Load on screw

Go Load on Screw given Effort Required in Lifting Load with Trapezoidal Threaded Screw

W = \frac{P li}{\frac{μ \cdot \sec ((0.2618)) + \tan (α)}{1 - μ \cdot \sec ((0.2618)) \cdot \tan (α)}}

Go Load on Screw given Torque Required in Lifting Load with Trapezoidal Threaded Screw

W = Mt li \cdot \frac{1 - μ \cdot \sec ((0.2618)) \cdot \tan (α)}{0.5 \cdot d m \cdot ((μ \cdot \sec ((0.2618)) + \tan (α)))}

Go Load on Screw given helix Angle

W = P lo \cdot \frac{1 + μ \cdot \sec ((0.2618)) \cdot \tan (α)}{(μ \cdot \sec ((0.2618)) - \tan (α))}

Other formulas in Trapezoidal Thread category

Go Effort Required in Lifting Load with Trapezoidal Threaded Screw

P li = W \cdot (\frac{μ \cdot \sec ((0.2618)) + \tan (α)}{1 - μ \cdot \sec ((0.2618)) \cdot \tan (α)})

Go Helix Angle of Screw given Effort Required in Lifting Load with Trapezoidal Threaded Screw

α = a \tan (\frac{P li - W \cdot μ \cdot \sec (0.2618)}{W + (P li \cdot μ \cdot \sec (0.2618))})

Go Coefficient of Friction of Screw given Effort for Trapezoidal Threaded Screw

μ = \frac{P li - (W \cdot \tan (α))}{\sec (0.2618) \cdot (W + P li \cdot \tan (α))}

Go Torque Required in Lifting Load with Trapezoidal Threaded Screw

Mt li = 0.5 \cdot d m \cdot W \cdot (\frac{(μ \cdot \sec ((0.2618))) + \tan (α)}{1 - (μ \cdot \sec ((0.2618)) \cdot \tan (α))})

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

Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw evaluator uses Load on screw = Torque for lowering load/(0.5*Mean Diameter of Power Screw*(((Coefficient of friction at screw thread*sec((0.2618)))-tan(Helix angle of screw))/(1+(Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw))))) to evaluate the Load on screw, Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw formula is a method to determine the maximum amount of load a pre-defined system with the same Screws/Bolts and nut pair, can function without fail. It is the load or the force which is acting on the screw. Load on screw is denoted by W symbol.

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

FAQs on Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw

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

The formula of Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw is expressed as Load on screw = Torque for lowering load/(0.5*Mean Diameter of Power Screw*(((Coefficient of friction at screw thread*sec((0.2618)))-tan(Helix angle of screw))/(1+(Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw))))). Here is an example- 1700.861 = 2.96/(0.5*0.046*(((0.15*sec((0.2618)))-tan(0.0785398163397301))/(1+(0.15*sec((0.2618))*tan(0.0785398163397301))))).

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

With Torque for lowering load (Mt_lo), Mean Diameter of Power Screw (d_m), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) we can find Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw using the formula - Load on screw = Torque for lowering load/(0.5*Mean Diameter of Power Screw*(((Coefficient of friction at screw thread*sec((0.2618)))-tan(Helix angle of screw))/(1+(Coefficient of friction at screw thread*sec((0.2618))*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=Effort in lifting load/((Coefficient of friction at screw thread*sec((0.2618))+tan(Helix angle of screw))/(1-Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw)))
Load on screw=Torque for lifting load*(1-Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw))/(0.5*Mean Diameter of Power Screw*((Coefficient of friction at screw thread*sec((0.2618))+tan(Helix angle of screw))))
Load on screw=Effort in lowering load*(1+Coefficient of friction at screw thread*sec((0.2618))*tan(Helix angle of screw))/((Coefficient of friction at screw thread*sec((0.2618))-tan(Helix angle of screw)))

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

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

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

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

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Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw Formula

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

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

Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw Example

Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw Solution

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

Other Formulas to find Load on screw

Other formulas in Trapezoidal Thread category

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

FAQs on Load on Screw given Torque Required in Lowering Load with Trapezoidal Threaded Screw

Variable Name

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

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