Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle Calculator

✖Load on lever is the instantaneous load that is resisted by the lever.ⓘ Load on lever [W]			+10% -10%
✖Effort on Lever is the force applied on the input of the lever to overcome the resistance to get the work done by the machine.ⓘ Effort on Lever [P]			+10% -10%
✖Angle Between Lever Arms is the angle between the two arms of a lever or the contained angle between the arms.ⓘ Angle Between Lever Arms [θ]			+10% -10%

✖Force at Lever Fulcrum Pin is the force acting onto the fulcrum pin (the pivot about which a lever turns) used as a joint at a fulcrum point.ⓘ Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle [R_f]

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Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle

Formula

`"R"_{"f"} = sqrt("W"^2+"P"^2-2*"W"*"P"*cos("θ"))`

Example

`"3159.736N"=sqrt(("2945N")^2+("294N")^2-2*"2945N"*"294N"*cos("135°"))`

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Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Force at Lever Fulcrum Pin = sqrt(Load on lever^2+Effort on Lever^2-2*Load on lever*Effort on Lever*cos(Angle Between Lever Arms))
R_f = sqrt(W^2+P^2-2*W*P*cos(θ))
This formula uses 2 Functions, 4 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Force at Lever Fulcrum Pin - (Measured in Newton) - Force at Lever Fulcrum Pin is the force acting onto the fulcrum pin (the pivot about which a lever turns) used as a joint at a fulcrum point.
Load on lever - (Measured in Newton) - Load on lever is the instantaneous load that is resisted by the lever.
Effort on Lever - (Measured in Newton) - Effort on Lever is the force applied on the input of the lever to overcome the resistance to get the work done by the machine.
Angle Between Lever Arms - (Measured in Radian) - Angle Between Lever Arms is the angle between the two arms of a lever or the contained angle between the arms.

STEP 1: Convert Input(s) to Base Unit

Load on lever: 2945 Newton --> 2945 Newton No Conversion Required
Effort on Lever: 294 Newton --> 294 Newton No Conversion Required
Angle Between Lever Arms: 135 Degree --> 2.3561944901919 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_f = sqrt(W^2+P^2-2*W*P*cos(θ)) --> sqrt(2945^2+294^2-2*2945*294*cos(2.3561944901919))

Evaluating ... ...

R_f = 3159.73567386719

STEP 3: Convert Result to Output's Unit

3159.73567386719 Newton --> No Conversion Required

FINAL ANSWER

3159.73567386719 ≈ 3159.736 Newton <-- Force at Lever Fulcrum Pin

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Lever » Components of Lever » Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle

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< 15 Components of Lever Calculators

Bending stress in lever of elliptical cross section

Go Bending Stress in Lever Arm = (32*(Effort on Lever*((Length of Effort Arm)-(Diameter of Lever Fulcrum Pin))))/(pi*Minor Axis of Lever Ellipse Section*(Major Axis of Lever Ellipse Section^2))

Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle

Go Force at Lever Fulcrum Pin = sqrt(Load on lever^2+Effort on Lever^2-2*Load on lever*Effort on Lever*cos(Angle Between Lever Arms))

Bending stress in lever of rectangular cross section

Go Bending Stress in Lever Arm = (32*(Effort on Lever*((Length of Effort Arm)-(Diameter of Lever Fulcrum Pin))))/(pi*Width of Lever Arm*(Depth of Lever Arm^2))

Bending stress in lever of elliptical cross section given bending moment

Go Bending Stress in Lever Arm = (32*Bending Moment in Lever)/(pi*Minor Axis of Lever Ellipse Section*(Major Axis of Lever Ellipse Section^2))

Bending stress in lever of rectangular cross section given bending moment

Go Bending Stress in Lever Arm = (32*Bending Moment in Lever)/(pi*Width of Lever Arm*(Depth of Lever Arm^2))

Reaction Force at Fulcrum of Lever given Bearing Pressure

Go Force at Lever Fulcrum Pin = Bearing Pressure in Fulcrum Pin of Lever*Diameter of Lever Fulcrum Pin*Length of Lever Fulcrum Pin

Maximum bending moment in lever

Go Bending Moment in Lever = Effort on Lever*((Length of Effort Arm)-(Diameter of Lever Fulcrum Pin))

Effort Force Applied on Lever given Bending Moment

Go Effort on Lever = Bending Moment in Lever/(Length of Effort Arm-Diameter of Lever Fulcrum Pin)

Load using Lengths and Effort

Go Load on lever = Length of Effort Arm*Effort on Lever/Length of Load Arm

Effort using Length and Load

Go Effort on Lever = Length of Load Arm*Load on lever/Length of Effort Arm

Reaction Force at Fulcrum of Right Angled Lever

Go Force at Lever Fulcrum Pin = sqrt(Load on lever^2+Effort on Lever^2)

Leverage

Go Mechanical Advantage of Lever = Length of Effort Arm/Length of Load Arm

Effort using Leverage

Go Effort on Lever = Load on lever/Mechanical Advantage of Lever

Mechanical Advantage

Go Mechanical Advantage of Lever = Load on lever/Effort on Lever

Load using Leverage

Go Load on lever = Effort on Lever*Mechanical Advantage of Lever

Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle Formula

Force at Lever Fulcrum Pin = sqrt(Load on lever^2+Effort on Lever^2-2*Load on lever*Effort on Lever*cos(Angle Between Lever Arms))
R_f = sqrt(W^2+P^2-2*W*P*cos(θ))

What do you mean by leverage mechanics?

Also, leverage is the mechanical advantage gained in a system. It is one of the six simple machines identified by Renaissance scientists. A lever amplifies an input force to provide a greater output force, which is said to provide leverage.

How to Calculate Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle?

Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle calculator uses Force at Lever Fulcrum Pin = sqrt(Load on lever^2+Effort on Lever^2-2*Load on lever*Effort on Lever*cos(Angle Between Lever Arms)) to calculate the Force at Lever Fulcrum Pin, The Reaction force at fulcrum of lever given effort, load and contained angle is the reaction force acting onto the fulcrum of the lever as a result of the effort force and the applied force by the lever. Force at Lever Fulcrum Pin is denoted by R_f symbol.

How to calculate Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle using this online calculator? To use this online calculator for Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle, enter Load on lever (W), Effort on Lever (P) & Angle Between Lever Arms (θ) and hit the calculate button. Here is how the Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle calculation can be explained with given input values -> 3159.736 = sqrt(2945^2+294^2-2*2945*294*cos(2.3561944901919)).

FAQ

What is Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle?

The Reaction force at fulcrum of lever given effort, load and contained angle is the reaction force acting onto the fulcrum of the lever as a result of the effort force and the applied force by the lever and is represented as R_f = sqrt(W^2+P^2-2*W*P*cos(θ)) or Force at Lever Fulcrum Pin = sqrt(Load on lever^2+Effort on Lever^2-2*Load on lever*Effort on Lever*cos(Angle Between Lever Arms)). Load on lever is the instantaneous load that is resisted by the lever, Effort on Lever is the force applied on the input of the lever to overcome the resistance to get the work done by the machine & Angle Between Lever Arms is the angle between the two arms of a lever or the contained angle between the arms.

How to calculate Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle?

The Reaction force at fulcrum of lever given effort, load and contained angle is the reaction force acting onto the fulcrum of the lever as a result of the effort force and the applied force by the lever is calculated using Force at Lever Fulcrum Pin = sqrt(Load on lever^2+Effort on Lever^2-2*Load on lever*Effort on Lever*cos(Angle Between Lever Arms)). To calculate Reaction Force at Fulcrum of Lever given Effort, Load and Contained Angle, you need Load on lever (W), Effort on Lever (P) & Angle Between Lever Arms (θ). With our tool, you need to enter the respective value for Load on lever, Effort on Lever & Angle Between Lever Arms and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Force at Lever Fulcrum Pin?

In this formula, Force at Lever Fulcrum Pin uses Load on lever, Effort on Lever & Angle Between Lever Arms. We can use 2 other way(s) to calculate the same, which is/are as follows -

Force at Lever Fulcrum Pin = sqrt(Load on lever^2+Effort on Lever^2)
Force at Lever Fulcrum Pin = Bearing Pressure in Fulcrum Pin of Lever*Diameter of Lever Fulcrum Pin*Length of Lever Fulcrum Pin

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