Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress Formula

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Bending Moment on Round Shaft is the reaction induced in a circular cross-sectioned shaft when an external force or moment is applied to the element, causing the element to bend. Check FAQs
Mb=σoπdsmall332
Mb - Bending Moment on Round Shaft?σo - Nominal Stress?dsmall - Smaller Diameter of Shaft with Fillet?π - Archimedes' constant?

Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress Example

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Here is how the Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress equation looks like with Values.

Here is how the Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress equation looks like with Units.

Here is how the Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress equation looks like.

14313.8815Edit=25Edit3.141618Edit332
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Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress Solution

Follow our step by step solution on how to calculate Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress?

FIRST Step Consider the formula
Mb=σoπdsmall332
Next Step Substitute values of Variables
Mb=25N/mm²π18mm332
Next Step Substitute values of Constants
Mb=25N/mm²3.141618mm332
Next Step Convert Units
Mb=2.5E+7Pa3.14160.018m332
Next Step Prepare to Evaluate
Mb=2.5E+73.14160.018332
Next Step Evaluate
Mb=14.3138815279185N*m
Next Step Convert to Output's Unit
Mb=14313.8815279185N*mm
LAST Step Rounding Answer
Mb=14313.8815N*mm

Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress Formula Elements

Variables
Constants
Bending Moment on Round Shaft
Bending Moment on Round Shaft is the reaction induced in a circular cross-sectioned shaft when an external force or moment is applied to the element, causing the element to bend.
Symbol: Mb
Measurement: TorqueUnit: N*mm
Note: Value should be greater than 0.
Nominal Stress
Nominal Stress is the value of the stress at the minimum cross-section.
Symbol: σo
Measurement: StressUnit: N/mm²
Note: Value should be greater than 0.
Smaller Diameter of Shaft with Fillet
Smaller Diameter of Shaft with Fillet is the diameter of the smaller round cross-section of a round shaft which has a fillet.
Symbol: dsmall
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288

Other formulas in Round Shaft against Fluctuating Loads category

​Go Nominal Tensile Stress in Round Shaft with Shoulder Fillet
σo=4Pπdsmall2
​Go Nominal Bending Stress in Round Shaft with Shoulder Fillet
σo=32Mbπdsmall3
​Go Nominal Torsional Stress in Round Shaft with Shoulder Fillet
σo=16Mttπdsmall3
​Go Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress
Mtt=τoπdsmall316

How to Evaluate Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress?

Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress evaluator uses Bending Moment on Round Shaft = (Nominal Stress*pi*Smaller Diameter of Shaft with Fillet^3)/32 to evaluate the Bending Moment on Round Shaft, Bending Moment in Round shaft with Shoulder fillet given Nominal stress is the amount of bending moment in the round shaft with shoulder fillet with stress concentration arising due to the forces acting perpendicular to the shaft axis. Bending Moment on Round Shaft is denoted by Mb symbol.

How to evaluate Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress using this online evaluator? To use this online evaluator for Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress, enter Nominal Stress o) & Smaller Diameter of Shaft with Fillet (dsmall) and hit the calculate button.

FAQs on Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress

What is the formula to find Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress?
The formula of Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress is expressed as Bending Moment on Round Shaft = (Nominal Stress*pi*Smaller Diameter of Shaft with Fillet^3)/32. Here is an example- 2.3E+7 = (25000000*pi*0.02111004^3)/32.
How to calculate Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress?
With Nominal Stress o) & Smaller Diameter of Shaft with Fillet (dsmall) we can find Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress using the formula - Bending Moment on Round Shaft = (Nominal Stress*pi*Smaller Diameter of Shaft with Fillet^3)/32. This formula also uses Archimedes' constant .
Can the Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress be negative?
No, the Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress, measured in Torque cannot be negative.
Which unit is used to measure Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress?
Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress can be measured.
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