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

✖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.ⓘ Bending Moment in Lever [M_b]			+10% -10%
✖Minor Axis of Lever Ellipse Section is the line segment that is perpendicular to the major axis and intersects at the center of the elliptical cross-section of a lever.ⓘ Minor Axis of Lever Ellipse Section [b]			+10% -10%
✖Major Axis of Lever Ellipse Section is the line segment that crosses both the focal points of the elliptical cross-section of a lever.ⓘ Major Axis of Lever Ellipse Section [a]			+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 elliptical cross section given bending moment [σ_b]

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

STEP 0: Pre-Calculation Summary

Formula Used

Bending Stress in Lever Arm = (32*Bending Moment in Lever)/(pi*Minor Axis of Lever Ellipse Section*(Major Axis of Lever Ellipse Section^2))
σ_b = (32*M_b)/(pi*b*(a^2))
This formula uses 1 Constants, 4 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.
Bending Moment in Lever - (Measured in Newton Meter) - 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.
Minor Axis of Lever Ellipse Section - (Measured in Meter) - Minor Axis of Lever Ellipse Section is the line segment that is perpendicular to the major axis and intersects at the center of the elliptical cross-section of a lever.
Major Axis of Lever Ellipse Section - (Measured in Meter) - Major Axis of Lever Ellipse Section is the line segment that crosses both the focal points of the elliptical cross-section of a lever.

STEP 1: Convert Input(s) to Base Unit

Bending Moment in Lever: 261050 Newton Millimeter --> 261.05 Newton Meter (Check conversion here)
Minor Axis of Lever Ellipse Section: 13 Millimeter --> 0.013 Meter (Check conversion here)
Major Axis of Lever Ellipse Section: 38 Millimeter --> 0.038 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = (32*M_b)/(pi*b*(a^2)) --> (32*261.05)/(pi*0.013*(0.038^2))

Evaluating ... ...

σ_b = 141648916.749676

STEP 3: Convert Result to Output's Unit

141648916.749676 Pascal -->141.648916749676 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

141.648916749676 ≈ 141.6489 Newton per Square Millimeter <-- Bending Stress in Lever Arm

(Calculation completed in 00.021 seconds)

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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 given bending moment Formula

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))
σ_b = (32*M_b)/(pi*b*(a^2))

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 given bending moment?

Bending stress in lever of elliptical cross section given bending moment calculator uses Bending Stress in Lever Arm = (32*Bending Moment in Lever)/(pi*Minor Axis of Lever Ellipse Section*(Major Axis of Lever Ellipse Section^2)) to calculate the Bending Stress in Lever Arm, The Bending stress in lever of elliptical cross section given bending moment is the amount of bending stress that is generated into the arms of the lever when the lever arms are loaded and bending moments acts onto the arms. Bending Stress in Lever Arm is denoted by σ_b symbol.

How to calculate Bending stress in lever of elliptical cross section given bending moment using this online calculator? To use this online calculator for Bending stress in lever of elliptical cross section given bending moment, enter Bending Moment in Lever (M_b), 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 given bending moment calculation can be explained with given input values -> 0.000142 = (32*261.05)/(pi*0.013*(0.038^2)).

FAQ

What is Bending stress in lever of elliptical cross section given bending moment?

The Bending stress in lever of elliptical cross section given bending moment is the amount of bending stress that is generated into the arms of the lever when the lever arms are loaded and bending moments acts onto the arms and is represented as σ_b = (32*M_b)/(pi*b*(a^2)) or 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 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, Minor Axis of Lever Ellipse Section is the line segment that is perpendicular to the major axis and intersects at the center of the elliptical cross-section of a lever & Major Axis of Lever Ellipse Section is the line segment that crosses both the focal points of the elliptical cross-section of a lever.

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

The Bending stress in lever of elliptical cross section given bending moment is the amount of bending stress that is generated into the arms of the lever when the lever arms are loaded and bending moments acts onto the arms is calculated using Bending Stress in Lever Arm = (32*Bending Moment in Lever)/(pi*Minor Axis of Lever Ellipse Section*(Major Axis of Lever Ellipse Section^2)). To calculate Bending stress in lever of elliptical cross section given bending moment, you need Bending Moment in Lever (M_b), 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 Bending Moment in Lever, 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 Bending Moment in Lever, 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*(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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