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Diameter of Circular Section given Direct Stress Formula

GoDiameter of Circular Section given Maximum Value of Eccentricity Formula

GoCondition for Maximum Bending Stress given Diameter Formula

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Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere. Check FAQs

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

d - Diameter?P - Eccentric Load on Column?σ - Direct Stress?π - Archimedes' constant?

Diameter of Circular Section given Direct Stress Example

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Here is how the Diameter of Circular Section given Direct Stress equation looks like with Values.

Here is how the Diameter of Circular Section given Direct Stress equation looks like with Units.

Here is how the Diameter of Circular Section given Direct Stress equation looks like.

142.0001 = \sqrt{\frac{4 \cdot 7}{3.1416 \cdot 0.442}}

142.0001mm = \sqrt{\frac{4 \cdot 7kN}{3.1416 \cdot 0.442MPa}}

142.0001 = \sqrt{\frac{4 \cdot 7}{3.1416 \cdot 0.442}}

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Diameter of Circular Section given Direct Stress Solution

Follow our step by step solution on how to calculate Diameter of Circular Section given Direct Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = \sqrt{\frac{4 \cdot 7kN}{π \cdot 0.442MPa}}

Next Step Substitute values of Constants

∴

d = \sqrt{\frac{4 \cdot 7kN}{3.1416 \cdot 0.442MPa}}

Next Step Convert Units

∴

d = \sqrt{\frac{4 \cdot 7000N}{3.1416 \cdot 442009Pa}}

Next Step Prepare to Evaluate

∴

d = \sqrt{\frac{4 \cdot 7000}{3.1416 \cdot 442009}}

Next Step Evaluate

∴

d = 0.142000058449073m

Next Step Convert to Output's Unit

∴

d = 142.000058449073mm

LAST Step Rounding Answer

∴

d = 142.0001mm

Diameter of Circular Section given Direct Stress Formula Elements

Variables

Constants

Functions

Diameter

Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter

Eccentric Load on Column

Eccentric Load on Column is the load that causes direct stress as well as bending stress.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Eccentric Load on Column

Direct Stress

Direct Stress is defined as axial thrust acting per unit area.

Symbol: σ

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Direct 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 to find Diameter

Go Diameter of Circular Section given Maximum Value of Eccentricity

d = 8 \cdot e load

Go Condition for Maximum Bending Stress given Diameter

d = 2 \cdot d nl

Go Diameter of Circular Section given Maximum Bending Stress

d = \frac{σ b \cdot (2 \cdot I circular)}{M}

Other formulas in Middle Quarter Rule for Circular Section category

Go Maximum value of Eccentricity for No Tensile Stress

e load = \frac{d}{8}

Go Eccentricity of Load given Minimum Bending Stress

e load = ((\frac{4 \cdot P}{π \cdot (d^{2})}) - σb min) \cdot (\frac{π \cdot (d^{3})}{32 \cdot P})

Go Eccentric Load given Minimum Bending Stress

P = (σb min \cdot (π \cdot (d^{2}))) \cdot \frac{1 - (\frac{8 \cdot e load}{d})}{4}

Go Minimum Bending Stress given Eccentric Load

σb min = (\frac{4 \cdot P}{π \cdot (d^{2})}) \cdot (1 - (\frac{8 \cdot e load}{d}))

How to Evaluate Diameter of Circular Section given Direct Stress?

Diameter of Circular Section given Direct Stress evaluator uses Diameter = sqrt((4*Eccentric Load on Column)/(pi*Direct Stress)) to evaluate the Diameter, The Diameter of Circular Section given Direct Stress formula is defined as a measure of the diameter of a circular section under direct stress, which is essential in determining the structural integrity of a material under various loads, providing valuable insights for engineers and designers to optimize their designs. Diameter is denoted by d symbol.

How to evaluate Diameter of Circular Section given Direct Stress using this online evaluator? To use this online evaluator for Diameter of Circular Section given Direct Stress, enter Eccentric Load on Column (P) & Direct Stress (σ) and hit the calculate button.

FAQs on Diameter of Circular Section given Direct Stress

What is the formula to find Diameter of Circular Section given Direct Stress?

The formula of Diameter of Circular Section given Direct Stress is expressed as Diameter = sqrt((4*Eccentric Load on Column)/(pi*Direct Stress)). Here is an example- 422200.8 = sqrt((4*7000)/(pi*442009)).

How to calculate Diameter of Circular Section given Direct Stress?

With Eccentric Load on Column (P) & Direct Stress (σ) we can find Diameter of Circular Section given Direct Stress using the formula - Diameter = sqrt((4*Eccentric Load on Column)/(pi*Direct Stress)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Diameter?

Here are the different ways to Calculate Diameter-

Diameter=8*Eccentricity of Loading
Diameter=2*Distance from Neutral Layer
Diameter=(Bending Stress in Column*(2*MOI of Area of Circular Section))/Moment due to Eccentric Load

Can the Diameter of Circular Section given Direct Stress be negative?

No, the Diameter of Circular Section given Direct Stress, measured in Length cannot be negative.

Which unit is used to measure Diameter of Circular Section given Direct Stress?

Diameter of Circular Section given Direct Stress is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Circular Section given Direct Stress can be measured.

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Diameter of Circular Section given Direct Stress Formula

​GoDiameter of Circular Section given Maximum Value of Eccentricity Formula

​GoCondition for Maximum Bending Stress given Diameter Formula

Diameter of Circular Section given Direct Stress Example

Diameter of Circular Section given Direct Stress Solution

Diameter of Circular Section given Direct Stress Formula Elements

Other Formulas to find Diameter

Other formulas in Middle Quarter Rule for Circular Section category

How to Evaluate Diameter of Circular Section given Direct Stress?

FAQs on Diameter of Circular Section given Direct Stress

Variable Name

GoDiameter of Circular Section given Maximum Value of Eccentricity Formula

GoCondition for Maximum Bending Stress given Diameter Formula