Bending stress in lever of elliptical cross section Calculator

✖The Effort on Lever is the force applied to a lever to lift or move a load, demonstrating the principles of mechanical advantage in lever systems.ⓘ Effort on Lever [P]			+10% -10%
✖The Length of Effort Arm is the distance from the fulcrum to the point where effort is applied on a lever, influencing the lever's mechanical advantage.ⓘ Length of Effort Arm [l₁]			+10% -10%
✖The Diameter of Lever Fulcrum Pin is the measurement across the pin that serves as the pivot point in a lever system, affecting its mechanical advantage and stability.ⓘ Diameter of Lever Fulcrum Pin [d₁]			+10% -10%
✖The Minor Axis of Lever Ellipse Section is the shortest diameter of the elliptical section of a lever, influencing its mechanical performance and design efficiency.ⓘ Minor Axis of Lever Ellipse Section [b]			+10% -10%
✖The Major Axis of Lever Ellipse Section is the longest diameter of the ellipse that represents the lever's design, influencing its mechanical performance and efficiency.ⓘ Major Axis of Lever Ellipse Section [a]			+10% -10%

✖The Bending Stress in Lever Arm is the internal stress experienced by a lever arm due to applied forces, affecting its strength and performance in mechanical design.ⓘ Bending stress in lever of elliptical cross section [σ_b]

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Bending stress in lever of elliptical 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*Minor Axis of Lever Ellipse Section*Major Axis of Lever Ellipse Section^2)
σ_b = (32*(P*(l₁-d₁)))/(pi*b*a^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) - The Bending Stress in Lever Arm is the internal stress experienced by a lever arm due to applied forces, affecting its strength and performance in mechanical design.
Effort on Lever - (Measured in Newton) - The Effort on Lever is the force applied to a lever to lift or move a load, demonstrating the principles of mechanical advantage in lever systems.
Length of Effort Arm - (Measured in Meter) - The Length of Effort Arm is the distance from the fulcrum to the point where effort is applied on a lever, influencing the lever's mechanical advantage.
Diameter of Lever Fulcrum Pin - (Measured in Meter) - The Diameter of Lever Fulcrum Pin is the measurement across the pin that serves as the pivot point in a lever system, affecting its mechanical advantage and stability.
Minor Axis of Lever Ellipse Section - (Measured in Meter) - The Minor Axis of Lever Ellipse Section is the shortest diameter of the elliptical section of a lever, influencing its mechanical performance and design efficiency.
Major Axis of Lever Ellipse Section - (Measured in Meter) - The Major Axis of Lever Ellipse Section is the longest diameter of the ellipse that represents the lever's design, influencing its mechanical performance and efficiency.

STEP 1: Convert Input(s) to Base Unit

Effort on Lever: 310 Newton --> 310 Newton No Conversion Required
Length of Effort Arm: 900 Millimeter --> 0.9 Meter (Check conversion here)
Diameter of Lever Fulcrum Pin: 12.3913 Millimeter --> 0.0123913 Meter (Check conversion here)
Minor Axis of Lever Ellipse Section: 14.3 Millimeter --> 0.0143 Meter (Check conversion here)
Major Axis of Lever Ellipse Section: 28.6 Millimeter --> 0.0286 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = (32*(P*(l₁-d₁)))/(pi*b*a^2) --> (32*(310*(0.9-0.0123913)))/(pi*0.0143*0.0286^2)

Evaluating ... ...

σ_b = 239615686.644756

STEP 3: Convert Result to Output's Unit

239615686.644756 Pascal -->239.615686644756 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

239.615686644756 ≈ 239.6157 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 elliptical cross section

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Created by Saurabh Patil

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 elliptical 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 elliptical cross section?

Bending stress in lever of elliptical cross section calculator uses 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) to calculate the Bending Stress in Lever Arm, Bending stress in lever of elliptical cross section formula is defined as a measure of the maximum stress developed in a lever with an elliptical cross-section due to external loads. Bending Stress in Lever Arm is denoted by σ_b symbol.

How to calculate Bending stress in lever of elliptical cross section using this online calculator? To use this online calculator for Bending stress in lever of elliptical cross section, enter Effort on Lever (P), Length of Effort Arm (l₁), Diameter of Lever Fulcrum Pin (d₁), Minor Axis of Lever Ellipse Section (b) & Major Axis of Lever Ellipse Section (a) and hit the calculate button. Here is how the Bending stress in lever of elliptical cross section calculation can be explained with given input values -> 0.00024 = (32*(310*(0.9-0.0123913)))/(pi*0.0143*0.0286^2).

FAQ

What is Bending stress in lever of elliptical cross section?

Bending stress in lever of elliptical cross section formula is defined as a measure of the maximum stress developed in a lever with an elliptical cross-section due to external loads and is represented as σ_b = (32*(P*(l₁-d₁)))/(pi*b*a^2) or 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). The Effort on Lever is the force applied to a lever to lift or move a load, demonstrating the principles of mechanical advantage in lever systems, The Length of Effort Arm is the distance from the fulcrum to the point where effort is applied on a lever, influencing the lever's mechanical advantage, The Diameter of Lever Fulcrum Pin is the measurement across the pin that serves as the pivot point in a lever system, affecting its mechanical advantage and stability, The Minor Axis of Lever Ellipse Section is the shortest diameter of the elliptical section of a lever, influencing its mechanical performance and design efficiency & The Major Axis of Lever Ellipse Section is the longest diameter of the ellipse that represents the lever's design, influencing its mechanical performance and efficiency.

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

Bending stress in lever of elliptical cross section formula is defined as a measure of the maximum stress developed in a lever with an elliptical cross-section due to external loads is calculated using 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). To calculate Bending stress in lever of elliptical cross section, you need Effort on Lever (P), Length of Effort Arm (l₁), Diameter of Lever Fulcrum Pin (d₁), Minor Axis of Lever Ellipse Section (b) & Major Axis of Lever Ellipse Section (a). With our tool, you need to enter the respective value for Effort on Lever, Length of Effort Arm, Diameter of Lever Fulcrum Pin, Minor Axis of Lever Ellipse Section & Major Axis of Lever Ellipse Section 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, Minor Axis of Lever Ellipse Section & Major Axis of Lever Ellipse Section. 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*(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 Arm = (32*Bending Moment in Lever)/(pi*Minor Axis of Lever Ellipse Section*Major Axis of Lever Ellipse Section^2)

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