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Maximum Bending Stress given Eccentric Load Formula

GoMaximum Bending Stress for Circular Section given Moment of Load Formula

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Maximum Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend. Check FAQs

σb max = \frac{32 \cdot P \cdot e load}{π \cdot (d^{3})}

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

Maximum Bending Stress given Eccentric Load Example

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

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

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

1E-5 = \frac{32 \cdot 7 \cdot 0.0004}{3.1416 \cdot (142^{3})}

1E-5MPa = \frac{32 \cdot 7kN \cdot 0.0004mm}{3.1416 \cdot ({142mm}^{3})}

1E-5 = \frac{32 \cdot 7 \cdot 0.0004}{3.1416 \cdot (142^{3})}

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Maximum Bending Stress given Eccentric Load Solution

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

FIRST Step Consider the formula

σb max = \frac{32 \cdot P \cdot e load}{π \cdot (d^{3})}

Next Step Substitute values of Variables

∴

σb max = \frac{32 \cdot 7kN \cdot 0.0004mm}{π \cdot ({142mm}^{3})}

Next Step Substitute values of Constants

∴

σb max = \frac{32 \cdot 7kN \cdot 0.0004mm}{3.1416 \cdot ({142mm}^{3})}

Next Step Convert Units

∴

σb max = \frac{32 \cdot 7000N \cdot 4E-7m}{3.1416 \cdot ({0.142m}^{3})}

Next Step Prepare to Evaluate

∴

σb max = \frac{32 \cdot 7000 \cdot 4E-7}{3.1416 \cdot ({0.142}^{3})}

Next Step Evaluate

∴

σb max = 10.010578269136Pa

Next Step Convert to Output's Unit

∴

σb max = 1.0010578269136E-05MPa

LAST Step Rounding Answer

∴

σb max = 1E-5MPa

Maximum Bending Stress given Eccentric Load Formula Elements

Variables

Constants

Maximum Bending Stress

Maximum Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

Symbol: σb^max

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum 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

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

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

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 Maximum Bending Stress

Go Maximum Bending Stress for Circular Section given Moment of Load

σb max = \frac{M \cdot d c}{2 \cdot I circular}

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 Maximum Bending Stress given Eccentric Load?

Maximum Bending Stress given Eccentric Load evaluator uses Maximum Bending Stress = (32*Eccentric Load on Column*Eccentricity of Loading)/(pi*(Diameter^3)) to evaluate the Maximum Bending Stress, The Maximum Bending Stress given Eccentric Load formula is defined as a measure of the maximum 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. Maximum Bending Stress is denoted by σb^max symbol.

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

FAQs on Maximum Bending Stress given Eccentric Load

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

The formula of Maximum Bending Stress given Eccentric Load is expressed as Maximum Bending Stress = (32*Eccentric Load on Column*Eccentricity of Loading)/(pi*(Diameter^3)). Here is an example- 1E-11 = (32*7000*4.02E-07)/(pi*(0.142^3)).

How to calculate Maximum Bending Stress given Eccentric Load?

With Eccentric Load on Column (P), Eccentricity of Loading (e_load) & Diameter (d) we can find Maximum Bending Stress given Eccentric Load using the formula - Maximum Bending Stress = (32*Eccentric Load on Column*Eccentricity of Loading)/(pi*(Diameter^3)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Maximum Bending Stress?

Here are the different ways to Calculate Maximum Bending Stress-

Maximum Bending Stress=(Moment due to Eccentric Load*Diameter of Circular Section)/(2*MOI of Area of Circular Section)

Can the Maximum Bending Stress given Eccentric Load be negative?

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

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

Maximum 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 Maximum Bending Stress given Eccentric Load can be measured.

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Maximum Bending Stress given Eccentric Load Formula

​GoMaximum Bending Stress for Circular Section given Moment of Load Formula

Maximum Bending Stress given Eccentric Load Example

Maximum Bending Stress given Eccentric Load Solution

Maximum Bending Stress given Eccentric Load Formula Elements

Other Formulas to find Maximum Bending Stress

Other formulas in Middle Quarter Rule for Circular Section category

How to Evaluate Maximum Bending Stress given Eccentric Load?

FAQs on Maximum Bending Stress given Eccentric Load

Variable Name

GoMaximum Bending Stress for Circular Section given Moment of Load Formula