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

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The Bending Moment on Round Shaft is the internal moment that causes the shaft to bend, influencing its strength and performance under fluctuating loads. Check FAQs

M b = \frac{σ o \cdot π \cdot {d small}^{3}}{32}

M_b - Bending Moment on Round Shaft?σ_o - Nominal Stress?d_small - 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.

23089.1036 = \frac{25 \cdot 3.1416 \cdot {21.11}^{3}}{32}

23089.1036N*mm = \frac{25N/mm² \cdot 3.1416 \cdot {21.11mm}^{3}}{32}

23089.1036 = \frac{25 \cdot 3.1416 \cdot {21.11}^{3}}{32}

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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

M b = \frac{σ o \cdot π \cdot {d small}^{3}}{32}

Next Step Substitute values of Variables

∴

M b = \frac{25N/mm² \cdot π \cdot {21.11mm}^{3}}{32}

Next Step Substitute values of Constants

∴

M b = \frac{25N/mm² \cdot 3.1416 \cdot {21.11mm}^{3}}{32}

Next Step Convert Units

∴

M b = \frac{2.5E+7Pa \cdot 3.1416 \cdot {0.0211m}^{3}}{32}

Next Step Prepare to Evaluate

∴

M b = \frac{2.5E+7 \cdot 3.1416 \cdot {0.0211}^{3}}{32}

Next Step Evaluate

∴

M b = 23.0891035632608N*m

Next Step Convert to Output's Unit

∴

M b = 23089.1035632608N*mm

LAST Step Rounding Answer

∴

M b = 23089.1036N*mm

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

Variables

Constants

Bending Moment on Round Shaft

The Bending Moment on Round Shaft is the internal moment that causes the shaft to bend, influencing its strength and performance under fluctuating loads.

Symbol: M_b

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending Moment on Round Shaft

Nominal Stress

The Nominal Stress is the average stress experienced by a material under load, used to assess its performance and safety in mechanical design applications.

Symbol: σ_o

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Nominal Stress

Smaller Diameter of Shaft with Fillet

The Smaller Diameter of Shaft with Fillet is the reduced diameter at the fillet radius, which influences stress concentration and overall strength in mechanical design.

Symbol: d_small

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Smaller Diameter of Shaft with Fillet

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

σ o = \frac{4 \cdot P}{π \cdot {d small}^{2}}

Go Nominal Bending Stress in Round Shaft with Shoulder Fillet

σ o = \frac{32 \cdot M b}{π \cdot {d small}^{3}}

Go Nominal Torsional Stress in Round Shaft with Shoulder Fillet

σ o = \frac{16 \cdot M t}{π \cdot {d small}^{3}}

Go Torsional Moment in Round Shaft with Shoulder Fillet given Nominal Stress

M t = \frac{τ o \cdot π \cdot {d small}^{3}}{16}

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 M_b 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 (σ_o) & Smaller Diameter of Shaft with Fillet (d_small) 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 (σ_o) & Smaller Diameter of Shaft with Fillet (d_small) 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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Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress Formula

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

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

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

Other formulas in Round Shaft against Fluctuating Loads category

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

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

Variable Name