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Minimum Bending Stress given Eccentric Load Formula

GoMinimum Bending Stress given Direct and Bending Stress Formula

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Minimum Bending Stress refers to the lowest amount of stress experienced by a material in response to an applied bending moment. Check FAQs

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

σb^min - Minimum Bending Stress?P - Eccentric Load on Column?d - Diameter?e_load - Eccentricity of Loading?π - Archimedes' constant?

Minimum Bending Stress given Eccentric Load Example

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Here is how the Minimum Bending Stress given Eccentric Load equation looks like with Values.

Here is how the Minimum Bending Stress given Eccentric Load equation looks like with Units.

Here is how the Minimum Bending Stress given Eccentric Load equation looks like.

0.442 = (\frac{4 \cdot 7}{3.1416 \cdot (142^{2})}) \cdot (1 - (\frac{8 \cdot 0.0004}{142}))

0.442MPa = (\frac{4 \cdot 7kN}{3.1416 \cdot ({142mm}^{2})}) \cdot (1 - (\frac{8 \cdot 0.0004mm}{142mm}))

0.442 = (\frac{4 \cdot 7}{3.1416 \cdot (142^{2})}) \cdot (1 - (\frac{8 \cdot 0.0004}{142}))

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Minimum Bending Stress given Eccentric Load Solution

Follow our step by step solution on how to calculate Minimum Bending Stress given Eccentric Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σb min = (\frac{4 \cdot 7kN}{π \cdot ({142mm}^{2})}) \cdot (1 - (\frac{8 \cdot 0.0004mm}{142mm}))

Next Step Substitute values of Constants

∴

σb min = (\frac{4 \cdot 7kN}{3.1416 \cdot ({142mm}^{2})}) \cdot (1 - (\frac{8 \cdot 0.0004mm}{142mm}))

Next Step Convert Units

∴

σb min = (\frac{4 \cdot 7000N}{3.1416 \cdot ({0.142m}^{2})}) \cdot (1 - (\frac{8 \cdot 4E-7m}{0.142m}))

Next Step Prepare to Evaluate

∴

σb min = (\frac{4 \cdot 7000}{3.1416 \cdot ({0.142}^{2})}) \cdot (1 - (\frac{8 \cdot 4E-7}{0.142}))

Next Step Evaluate

∴

σb min = 441999.353295275Pa

Next Step Convert to Output's Unit

∴

σb min = 0.441999353295275MPa

LAST Step Rounding Answer

∴

σb min = 0.442MPa

Minimum Bending Stress given Eccentric Load Formula Elements

Variables

Constants

Minimum Bending Stress

Minimum Bending Stress refers to the lowest amount of stress experienced by a material in response to an applied bending moment.

Symbol: σb^min

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Minimum Bending Stress

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

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

Eccentricity of Loading

Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.

Symbol: e_load

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Eccentricity of Loading

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 Minimum Bending Stress

Go Minimum Bending Stress given Direct and Bending Stress

σb min = σ - σ b

Other formulas in Middle Quarter Rule for Circular Section category

Go Diameter of Circular Section given Maximum Value of Eccentricity

d = 8 \cdot e load

Go Maximum value of Eccentricity for No Tensile Stress

e load = \frac{d}{8}

Go Condition for Maximum Bending Stress given Diameter

d = 2 \cdot d nl

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})

How to Evaluate Minimum Bending Stress given Eccentric Load?

Minimum Bending Stress given Eccentric Load evaluator uses Minimum Bending Stress = ((4*Eccentric Load on Column)/(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter)) to evaluate the Minimum Bending Stress, The Minimum Bending Stress given Eccentric Load formula is defined as a measure of the minimum stress experienced by a material when subjected to an eccentric load, which is a load that does not pass through the centroid of the material's cross-sectional area, causing both compressive and tensile stresses. Minimum Bending Stress is denoted by σb^min symbol.

How to evaluate Minimum Bending Stress given Eccentric Load using this online evaluator? To use this online evaluator for Minimum Bending Stress given Eccentric Load, enter Eccentric Load on Column (P), Diameter (d) & Eccentricity of Loading (e_load) and hit the calculate button.

FAQs on Minimum Bending Stress given Eccentric Load

What is the formula to find Minimum Bending Stress given Eccentric Load?

The formula of Minimum Bending Stress given Eccentric Load is expressed as Minimum Bending Stress = ((4*Eccentric Load on Column)/(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter)). Here is an example- 4.4E-7 = ((4*7000)/(pi*(0.142^2)))*(1-((8*4.02E-07)/0.142)).

How to calculate Minimum Bending Stress given Eccentric Load?

With Eccentric Load on Column (P), Diameter (d) & Eccentricity of Loading (e_load) we can find Minimum Bending Stress given Eccentric Load using the formula - Minimum Bending Stress = ((4*Eccentric Load on Column)/(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Minimum Bending Stress?

Here are the different ways to Calculate Minimum Bending Stress-

Minimum Bending Stress=Direct Stress-Bending Stress in Column

Can the Minimum Bending Stress given Eccentric Load be negative?

No, the Minimum Bending Stress given Eccentric Load, measured in Pressure cannot be negative.

Which unit is used to measure Minimum Bending Stress given Eccentric Load?

Minimum Bending Stress given Eccentric Load is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Minimum Bending Stress given Eccentric Load can be measured.

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Minimum Bending Stress given Eccentric Load Formula

​GoMinimum Bending Stress given Direct and Bending Stress Formula

Minimum Bending Stress given Eccentric Load Example

Minimum Bending Stress given Eccentric Load Solution

Minimum Bending Stress given Eccentric Load Formula Elements

Other Formulas to find Minimum Bending Stress

Other formulas in Middle Quarter Rule for Circular Section category

How to Evaluate Minimum Bending Stress given Eccentric Load?

FAQs on Minimum Bending Stress given Eccentric Load

Variable Name

GoMinimum Bending Stress given Direct and Bending Stress Formula