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

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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. Check FAQs

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

d_small - Smaller Diameter of Shaft with Fillet?P - Load on Flat Plate?σ_o - Nominal Stress?π - Archimedes' constant?

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

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Here is how the Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression equation looks like with Values.

Here is how the Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression equation looks like with Units.

Here is how the Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression equation looks like.

21.11 = \sqrt{\frac{4 \cdot 8750}{3.1416 \cdot 25}}

21.11mm = \sqrt{\frac{4 \cdot 8750N}{3.1416 \cdot 25N/mm²}}

21.11 = \sqrt{\frac{4 \cdot 8750}{3.1416 \cdot 25}}

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

Follow our step by step solution on how to calculate Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d small = \sqrt{\frac{4 \cdot 8750N}{π \cdot 25N/mm²}}

Next Step Substitute values of Constants

∴

d small = \sqrt{\frac{4 \cdot 8750N}{3.1416 \cdot 25N/mm²}}

Next Step Convert Units

∴

d small = \sqrt{\frac{4 \cdot 8750N}{3.1416 \cdot 2.5E+7Pa}}

Next Step Prepare to Evaluate

∴

d small = \sqrt{\frac{4 \cdot 8750}{3.1416 \cdot 2.5E+7}}

Next Step Evaluate

∴

d small = 0.0211100412282238m

Next Step Convert to Output's Unit

∴

d small = 21.1100412282238mm

LAST Step Rounding Answer

∴

d small = 21.11mm

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

Variables

Constants

Functions

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

Load on Flat Plate

The Load on Flat Plate is the force applied uniformly across a flat surface, affecting the plate's structural integrity and performance under various loading conditions.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Load on Flat Plate

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 Bending Moment in Round Shaft with Shoulder Fillet given Nominal Stress

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

Go Nominal Torsional Stress in Round Shaft with Shoulder Fillet

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

How to Evaluate Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression?

Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression evaluator uses Smaller Diameter of Shaft with Fillet = sqrt((4*Load on Flat Plate)/(pi*Nominal Stress)) to evaluate the Smaller Diameter of Shaft with Fillet, The Smaller diameter of round shaft with shoulder fillet in tension or compression is the diameter of the smaller round cross-section of a round shaft which has a shoulder fillet with stress concentration. Smaller Diameter of Shaft with Fillet is denoted by d_small symbol.

How to evaluate Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression using this online evaluator? To use this online evaluator for Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression, enter Load on Flat Plate (P) & Nominal Stress (σ_o) and hit the calculate button.

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

What is the formula to find Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression?

The formula of Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression is expressed as Smaller Diameter of Shaft with Fillet = sqrt((4*Load on Flat Plate)/(pi*Nominal Stress)). Here is an example- 21110.04 = sqrt((4*8750)/(pi*25000000)).

How to calculate Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression?

With Load on Flat Plate (P) & Nominal Stress (σ_o) we can find Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression using the formula - Smaller Diameter of Shaft with Fillet = sqrt((4*Load on Flat Plate)/(pi*Nominal Stress)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression be negative?

No, the Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression, measured in Length cannot be negative.

Which unit is used to measure Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression?

Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression can be measured.

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

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

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

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

Other formulas in Round Shaft against Fluctuating Loads category

How to Evaluate Smaller Diameter of Round Shaft with Shoulder Fillet in Tension or Compression?

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

Variable Name