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Effort Force Applied on Lever given Bending Moment Formula

GoEffort using Length and Load Formula

GoEffort using Leverage Formula

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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. Check FAQs

P = \frac{M b}{l 1 - d 1}

P - Effort on Lever?M_b - Bending Moment in Lever?l₁ - Length of Effort Arm?d₁ - Diameter of Lever Fulcrum Pin?

Effort Force Applied on Lever given Bending Moment Example

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Here is how the Effort Force Applied on Lever given Bending Moment equation looks like with Values.

Here is how the Effort Force Applied on Lever given Bending Moment equation looks like with Units.

Here is how the Effort Force Applied on Lever given Bending Moment equation looks like.

293.8429 = \frac{261050}{900 - 11.6}

293.8429N = \frac{261050N*mm}{900mm - 11.6mm}

293.8429 = \frac{261050}{900 - 11.6}

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Effort Force Applied on Lever given Bending Moment Solution

Follow our step by step solution on how to calculate Effort Force Applied on Lever given Bending Moment?

FIRST Step Consider the formula

P = \frac{M b}{l 1 - d 1}

Next Step Substitute values of Variables

∴

P = \frac{261050N*mm}{900mm - 11.6mm}

Next Step Convert Units

∴

P = \frac{261.05N*m}{0.9m - 0.0116m}

Next Step Prepare to Evaluate

∴

P = \frac{261.05}{0.9 - 0.0116}

Next Step Evaluate

∴

P = 293.842863574966N

LAST Step Rounding Answer

∴

P = 293.8429N

Effort Force Applied on Lever given Bending Moment Formula Elements

Variables

Effort on 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.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Effort on Lever

Bending Moment in Lever

Bending Moment in Lever is the reaction induced in the lever when an external force or moment is applied to the lever, causing the lever to bend.

Symbol: M_b

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending Moment in Lever

Length of Effort Arm

Length of effort arm is defined as the length of the arm of the lever onto which the effort force is applied.

Symbol: l₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Effort Arm

Diameter of Lever Fulcrum Pin

Diameter of Lever Fulcrum Pin is the diameter of the pin used at the fulcrum joint of a lever.

Symbol: d₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Lever Fulcrum Pin

Other Formulas to find Effort on Lever

Go Effort using Length and Load

P = l 2 \cdot \frac{W}{l 1}

Go Effort using Leverage

P = \frac{W}{MA}

Other formulas in Components of Lever category

Go Maximum bending moment in lever

M b = P \cdot ((l 1) - (d 1))

Go Bending stress in lever of rectangular cross section given bending moment

σ b = \frac{32 \cdot M b}{π \cdot b l \cdot (d^{2})}

Go Bending stress in lever of rectangular cross section

σ b = \frac{32 \cdot (P \cdot ((l 1) - (d 1)))}{π \cdot b l \cdot (d^{2})}

Go Bending stress in lever of elliptical cross section given bending moment

σ b = \frac{32 \cdot M b}{π \cdot b \cdot (a^{2})}

How to Evaluate Effort Force Applied on Lever given Bending Moment?

Effort Force Applied on Lever given Bending Moment evaluator uses Effort on Lever = Bending Moment in Lever/(Length of Effort Arm-Diameter of Lever Fulcrum Pin) to evaluate the Effort on Lever, The Effort force applied on lever given bending moment is the force that is applied onto the lever arm as an input force, this force gets enlarged by the mechanical advantage of the lever. Effort on Lever is denoted by P symbol.

How to evaluate Effort Force Applied on Lever given Bending Moment using this online evaluator? To use this online evaluator for Effort Force Applied on Lever given Bending Moment, enter Bending Moment in Lever (M_b), Length of Effort Arm (l₁) & Diameter of Lever Fulcrum Pin (d₁) and hit the calculate button.

FAQs on Effort Force Applied on Lever given Bending Moment

What is the formula to find Effort Force Applied on Lever given Bending Moment?

The formula of Effort Force Applied on Lever given Bending Moment is expressed as Effort on Lever = Bending Moment in Lever/(Length of Effort Arm-Diameter of Lever Fulcrum Pin). Here is an example- 293.8429 = 261.05/(0.9-0.0116).

How to calculate Effort Force Applied on Lever given Bending Moment?

With Bending Moment in Lever (M_b), Length of Effort Arm (l₁) & Diameter of Lever Fulcrum Pin (d₁) we can find Effort Force Applied on Lever given Bending Moment using the formula - Effort on Lever = Bending Moment in Lever/(Length of Effort Arm-Diameter of Lever Fulcrum Pin).

What are the other ways to Calculate Effort on Lever?

Here are the different ways to Calculate Effort on Lever-

Effort on Lever=Length of Load Arm*Load on lever/Length of Effort Arm
Effort on Lever=Load on lever/Mechanical Advantage of Lever

Can the Effort Force Applied on Lever given Bending Moment be negative?

No, the Effort Force Applied on Lever given Bending Moment, measured in Force cannot be negative.

Which unit is used to measure Effort Force Applied on Lever given Bending Moment?

Effort Force Applied on Lever given Bending Moment is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Effort Force Applied on Lever given Bending Moment can be measured.

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Effort Force Applied on Lever given Bending Moment Formula

​GoEffort using Length and Load Formula

​GoEffort using Leverage Formula

Effort Force Applied on Lever given Bending Moment Example

Effort Force Applied on Lever given Bending Moment Solution

Effort Force Applied on Lever given Bending Moment Formula Elements

Other Formulas to find Effort on Lever

Other formulas in Components of Lever category

How to Evaluate Effort Force Applied on Lever given Bending Moment?

FAQs on Effort Force Applied on Lever given Bending Moment

Variable Name

GoEffort using Length and Load Formula

GoEffort using Leverage Formula