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Nominal Bending Stress in Round Shaft with Shoulder Fillet Formula

GoNominal Tensile Stress in Round Shaft with Shoulder Fillet Formula

GoNominal Torsional Stress in Round Shaft with Shoulder Fillet Formula

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Nominal Stress is the value of the stress at the minimum cross-section. Check FAQs

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

σ_o - Nominal Stress?M_b - Bending Moment on Round Shaft?d_small - Smaller Diameter of Shaft with Fillet?π - Archimedes' constant?

Nominal Bending Stress in Round Shaft with Shoulder Fillet Example

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

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

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

24.4518 = \frac{32 \cdot 14000}{3.1416 \cdot 18^{3}}

24.4518N/mm² = \frac{32 \cdot 14000N*mm}{3.1416 \cdot {18mm}^{3}}

24.4518 = \frac{32 \cdot 14000}{3.1416 \cdot 18^{3}}

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Nominal Bending Stress in Round Shaft with Shoulder Fillet Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ o = \frac{32 \cdot 14000N*mm}{π \cdot {18mm}^{3}}

Next Step Substitute values of Constants

∴

σ o = \frac{32 \cdot 14000N*mm}{3.1416 \cdot {18mm}^{3}}

Next Step Convert Units

∴

σ o = \frac{32 \cdot 14N*m}{3.1416 \cdot {0.018m}^{3}}

Next Step Prepare to Evaluate

∴

σ o = \frac{32 \cdot 14}{3.1416 \cdot {0.018}^{3}}

Next Step Evaluate

∴

σ o = 24451788.2390841Pa

Next Step Convert to Output's Unit

∴

σ o = 24.4517882390841N/mm²

LAST Step Rounding Answer

∴

σ o = 24.4518N/mm²

Nominal Bending Stress in Round Shaft with Shoulder Fillet Formula Elements

Variables

Constants

Nominal Stress

Nominal Stress is the value of the stress at the minimum cross-section.

Symbol: σ_o

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Nominal Stress

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: M_b

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending Moment on Round Shaft

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: 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 to find Nominal Stress

Go Nominal Tensile Stress in Round Shaft with Shoulder Fillet

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

Go Nominal Torsional Stress in Round Shaft with Shoulder Fillet

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

Other formulas in Round Shaft against Fluctuating Loads category

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

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

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

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

Go Tensile Force in Round Shaft with Shoulder Fillet given Nominal Stress

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

Go Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression

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

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

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

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

FAQs on Nominal Bending Stress in Round Shaft with Shoulder Fillet

What is the formula to find Nominal Bending Stress in Round Shaft with Shoulder Fillet?

The formula of Nominal Bending Stress in Round Shaft with Shoulder Fillet is expressed as Nominal Stress = (32*Bending Moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3). Here is an example- 2.4E-5 = (32*14)/(pi*0.018^3).

How to calculate Nominal Bending Stress in Round Shaft with Shoulder Fillet?

With Bending Moment on Round Shaft (M_b) & Smaller Diameter of Shaft with Fillet (d_small) we can find Nominal Bending Stress in Round Shaft with Shoulder Fillet using the formula - Nominal Stress = (32*Bending Moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3). This formula also uses Archimedes' constant .

What are the other ways to Calculate Nominal Stress?

Here are the different ways to Calculate Nominal Stress-

Nominal Stress=(4*Load on Flat Plate)/(pi*Smaller Diameter of Shaft with Fillet^2)
Nominal Stress=(16*Torsional moment on Round Shaft)/(pi*Smaller Diameter of Shaft with Fillet^3)

Can the Nominal Bending Stress in Round Shaft with Shoulder Fillet be negative?

No, the Nominal Bending Stress in Round Shaft with Shoulder Fillet, measured in Stress cannot be negative.

Which unit is used to measure Nominal Bending Stress in Round Shaft with Shoulder Fillet?

Nominal Bending Stress in Round Shaft with Shoulder Fillet is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Nominal Bending Stress in Round Shaft with Shoulder Fillet can be measured.

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Nominal Bending Stress in Round Shaft with Shoulder Fillet Formula

​GoNominal Tensile Stress in Round Shaft with Shoulder Fillet Formula

​GoNominal Torsional Stress in Round Shaft with Shoulder Fillet Formula

Nominal Bending Stress in Round Shaft with Shoulder Fillet Example

Nominal Bending Stress in Round Shaft with Shoulder Fillet Solution

Nominal Bending Stress in Round Shaft with Shoulder Fillet Formula Elements

Other Formulas to find Nominal Stress

Other formulas in Round Shaft against Fluctuating Loads category

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

FAQs on Nominal Bending Stress in Round Shaft with Shoulder Fillet

Variable Name

GoNominal Tensile Stress in Round Shaft with Shoulder Fillet Formula

GoNominal Torsional Stress in Round Shaft with Shoulder Fillet Formula