FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Load on Screw given helix Angle 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

Fx Copy

LaTeX Copy

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

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

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

Load on Screw given helix Angle Example

With values

With units

Only example

Here is how the Load on Screw given helix Angle equation looks like with Values.

Here is how the Load on Screw given helix Angle equation looks like with Units.

Here is how the Load on Screw given helix Angle equation looks like.

1585.9382 = 120 \cdot \frac{1 + 0.15 \cdot \sec ((0.2618)) \cdot \tan (4.5)}{(0.15 \cdot \sec ((0.2618)) - \tan (4.5))}

1585.9382N = 120N \cdot \frac{1 + 0.15 \cdot \sec ((0.2618)) \cdot \tan (4.5°)}{(0.15 \cdot \sec ((0.2618)) - \tan (4.5°))}

1585.9382 = 120 \cdot \frac{1 + 0.15 \cdot \sec ((0.2618)) \cdot \tan (4.5)}{(0.15 \cdot \sec ((0.2618)) - \tan (4.5))}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Mechanical » Category

Machine Design » fx Load on Screw given helix Angle

Load on Screw given helix Angle Solution

Follow our step by step solution on how to calculate Load on Screw given helix Angle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W = 120N \cdot \frac{1 + 0.15 \cdot \sec ((0.2618)) \cdot \tan (4.5°)}{(0.15 \cdot \sec ((0.2618)) - \tan (4.5°))}

Next Step Convert Units

∴

W = 120N \cdot \frac{1 + 0.15 \cdot \sec ((0.2618)) \cdot \tan (0.0785rad)}{(0.15 \cdot \sec ((0.2618)) - \tan (0.0785rad))}

Next Step Prepare to Evaluate

∴

W = 120 \cdot \frac{1 + 0.15 \cdot \sec ((0.2618)) \cdot \tan (0.0785)}{(0.15 \cdot \sec ((0.2618)) - \tan (0.0785))}

Next Step Evaluate

∴

W = 1585.93821088152N

LAST Step Rounding Answer

∴

W = 1585.9382N

Load on Screw given helix Angle 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

Effort in lowering load

Effort in lowering load is the force required to overcome the resistance to lower the load.

Symbol: P_lo

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Effort in 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

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 Torque Required in Lowering Load with Trapezoidal Threaded Screw

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))})}

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 helix Angle?

Load on Screw given helix Angle evaluator uses 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))) to evaluate the Load on screw, Load on Screw given helix Angle 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 helix Angle using this online evaluator? To use this online evaluator for Load on Screw given helix Angle, enter Effort in lowering load (P_lo), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) and hit the calculate button.

FAQs on Load on Screw given helix Angle

What is the formula to find Load on Screw given helix Angle?

The formula of Load on Screw given helix Angle is expressed as 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))). Here is an example- 1585.938 = 120*(1+0.15*sec((0.2618))*tan(0.0785398163397301))/((0.15*sec((0.2618))-tan(0.0785398163397301))).

How to calculate Load on Screw given helix Angle?

With Effort in lowering load (P_lo), Coefficient of friction at screw thread (μ) & Helix angle of screw (α) we can find Load on Screw given helix Angle using the formula - 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))). 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=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)))))

Can the Load on Screw given helix Angle be negative?

No, the Load on Screw given helix Angle, measured in Force cannot be negative.

Which unit is used to measure Load on Screw given helix Angle?

Load on Screw given helix Angle 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 helix Angle can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Load on Screw given helix Angle 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 helix Angle Example

Load on Screw given helix Angle Solution

Load on Screw given helix Angle Formula Elements

Other Formulas to find Load on screw

Other formulas in Trapezoidal Thread category

How to Evaluate Load on Screw given helix Angle?

FAQs on Load on Screw given helix Angle

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