Bending stress in lever of rectangular cross section Calculator

✖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%
✖Length of effort arm is defined as the length of the arm of the lever onto which the effort force is applied.ⓘ Length of Effort Arm [l₁]			+10% -10%
✖Diameter of Lever Fulcrum Pin is the diameter of the pin used at the fulcrum joint of a lever.ⓘ Diameter of Lever Fulcrum Pin [d₁]			+10% -10%
✖Width of Lever Arm is the thickness or the width of the lever arm measured perpendicular to the applied force on respective arms.ⓘ Width of Lever Arm [b_l]			+10% -10%
✖Depth of Lever Arm is the thickness of the lever arm measured parallel to the applied force on respective arms.ⓘ Depth of Lever Arm [d]			+10% -10%

✖Bending Stress in Lever Arm or allowable bending stress is the amount of bending stress that can be generated in the lever before its failure or fracture.ⓘ Bending stress in lever of rectangular cross section [σ_b]

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Bending stress in lever of rectangular cross section Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
σ_b = (32*(P*((l₁)-(d₁))))/(pi*b_l*(d^2))
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Bending Stress in Lever Arm - (Measured in Pascal) - Bending Stress in Lever Arm or allowable bending stress is the amount of bending stress that can be generated in the lever before its failure or fracture.
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.
Length of Effort Arm - (Measured in Meter) - Length of effort arm is defined as the length of the arm of the lever onto which the effort force is applied.
Diameter of Lever Fulcrum Pin - (Measured in Meter) - Diameter of Lever Fulcrum Pin is the diameter of the pin used at the fulcrum joint of a lever.
Width of Lever Arm - (Measured in Meter) - Width of Lever Arm is the thickness or the width of the lever arm measured perpendicular to the applied force on respective arms.
Depth of Lever Arm - (Measured in Meter) - Depth of Lever Arm is the thickness of the lever arm measured parallel to the applied force on respective arms.

STEP 1: Convert Input(s) to Base Unit

Effort on Lever: 294 Newton --> 294 Newton No Conversion Required
Length of Effort Arm: 900 Millimeter --> 0.9 Meter (Check conversion here)
Diameter of Lever Fulcrum Pin: 11.6 Millimeter --> 0.0116 Meter (Check conversion here)
Width of Lever Arm: 14.2 Millimeter --> 0.0142 Meter (Check conversion here)
Depth of Lever Arm: 36.5 Millimeter --> 0.0365 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = (32*(P*((l₁)-(d₁))))/(pi*b_l*(d^2)) --> (32*(294*((0.9)-(0.0116))))/(pi*0.0142*(0.0365^2))

Evaluating ... ...

σ_b = 140631274.485263

STEP 3: Convert Result to Output's Unit

140631274.485263 Pascal -->140.631274485263 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

140.631274485263 ≈ 140.6313 Newton per Square Millimeter <-- Bending Stress in Lever Arm

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Lever » Components of Lever » Bending stress in lever of rectangular cross section

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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< Components of Lever Calculators

Bending stress in lever of rectangular cross section

LaTeX 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

LaTeX 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

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

Maximum bending moment in lever

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

Bending stress in lever of rectangular cross section Formula

LaTeX Go

What is a lever?

Simply put, levers are machines used to increase force. We call them "simple machines" because they have only two parts — the handle and the fulcrum. The handle or bar of the lever is called the "arm" - Scissorsit's the part that you push or pull on. The "fulcrum" is the point on which the lever turns or balances. In the case of a fork, the fulcrum is the fingers of your hand. Scissors are really two levers put together. The handle on the toilet flusher is commonly called a fixed lever.

How to Calculate Bending stress in lever of rectangular cross section?

Bending stress in lever of rectangular cross section calculator uses 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)) to calculate the Bending Stress in Lever Arm, The Bending stress in lever of rectangular cross section is the amount of bending stress that is generated into the arms of the lever when the lever arms are loaded and bending moments act onto the arms. Bending Stress in Lever Arm is denoted by σ_b symbol.

How to calculate Bending stress in lever of rectangular cross section using this online calculator? To use this online calculator for Bending stress in lever of rectangular cross section, enter Effort on Lever (P), Length of Effort Arm (l₁), Diameter of Lever Fulcrum Pin (d₁), Width of Lever Arm (b_l) & Depth of Lever Arm (d) and hit the calculate button. Here is how the Bending stress in lever of rectangular cross section calculation can be explained with given input values -> 0.000141 = (32*(294*((0.9)-(0.0116))))/(pi*0.0142*(0.0365^2)).

FAQ

What is Bending stress in lever of rectangular cross section?

The Bending stress in lever of rectangular cross section is the amount of bending stress that is generated into the arms of the lever when the lever arms are loaded and bending moments act onto the arms and is represented as σ_b = (32*(P*((l₁)-(d₁))))/(pi*b_l*(d^2)) or 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)). 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, Length of effort arm is defined as the length of the arm of the lever onto which the effort force is applied, Diameter of Lever Fulcrum Pin is the diameter of the pin used at the fulcrum joint of a lever, Width of Lever Arm is the thickness or the width of the lever arm measured perpendicular to the applied force on respective arms & Depth of Lever Arm is the thickness of the lever arm measured parallel to the applied force on respective arms.

How to calculate Bending stress in lever of rectangular cross section?

The Bending stress in lever of rectangular cross section is the amount of bending stress that is generated into the arms of the lever when the lever arms are loaded and bending moments act onto the arms is calculated using 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)). To calculate Bending stress in lever of rectangular cross section, you need Effort on Lever (P), Length of Effort Arm (l₁), Diameter of Lever Fulcrum Pin (d₁), Width of Lever Arm (b_l) & Depth of Lever Arm (d). With our tool, you need to enter the respective value for Effort on Lever, Length of Effort Arm, Diameter of Lever Fulcrum Pin, Width of Lever Arm & Depth of Lever Arm 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 Bending Stress in Lever Arm?

In this formula, Bending Stress in Lever Arm uses Effort on Lever, Length of Effort Arm, Diameter of Lever Fulcrum Pin, Width of Lever Arm & Depth of Lever Arm. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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