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Eccentricity of Load given Minimum Bending Stress Formula

GoMaximum value of Eccentricity for No Tensile Stress Formula

GoEccentricity of Load given Maximum Bending Stress Formula

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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. Check FAQs

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

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

Eccentricity of Load given Minimum Bending Stress Example

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

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

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

1.6063 = ((\frac{4 \cdot 7}{3.1416 \cdot (142^{2})}) - 0.402) \cdot (\frac{3.1416 \cdot (142^{3})}{32 \cdot 7})

1.6063mm = ((\frac{4 \cdot 7kN}{3.1416 \cdot ({142mm}^{2})}) - 0.402MPa) \cdot (\frac{3.1416 \cdot ({142mm}^{3})}{32 \cdot 7kN})

1.6063 = ((\frac{4 \cdot 7}{3.1416 \cdot (142^{2})}) - 0.402) \cdot (\frac{3.1416 \cdot (142^{3})}{32 \cdot 7})

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Eccentricity of Load given Minimum Bending Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

e load = ((\frac{4 \cdot 7kN}{π \cdot ({142mm}^{2})}) - 0.402MPa) \cdot (\frac{π \cdot ({142mm}^{3})}{32 \cdot 7kN})

Next Step Substitute values of Constants

∴

e load = ((\frac{4 \cdot 7kN}{3.1416 \cdot ({142mm}^{2})}) - 0.402MPa) \cdot (\frac{3.1416 \cdot ({142mm}^{3})}{32 \cdot 7kN})

Next Step Convert Units

∴

e load = ((\frac{4 \cdot 7000N}{3.1416 \cdot ({0.142m}^{2})}) - 402009Pa) \cdot (\frac{3.1416 \cdot ({0.142m}^{3})}{32 \cdot 7000N})

Next Step Prepare to Evaluate

∴

e load = ((\frac{4 \cdot 7000}{3.1416 \cdot ({0.142}^{2})}) - 402009) \cdot (\frac{3.1416 \cdot ({0.142}^{3})}{32 \cdot 7000})

Next Step Evaluate

∴

e load = 0.00160631542402919m

Next Step Convert to Output's Unit

∴

e load = 1.60631542402919mm

LAST Step Rounding Answer

∴

e load = 1.6063mm

Eccentricity of Load given Minimum Bending Stress Formula Elements

Variables

Constants

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

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

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

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 Eccentricity of Loading

Go Maximum value of Eccentricity for No Tensile Stress

e load = \frac{d}{8}

Go Eccentricity of Load given Maximum Bending Stress

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

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 Condition for Maximum Bending Stress given Diameter

d = 2 \cdot d nl

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 Eccentricity of Load given Minimum Bending Stress?

Eccentricity of Load given Minimum Bending Stress evaluator uses Eccentricity of Loading = (((4*Eccentric Load on Column)/(pi*(Diameter^2)))-Minimum Bending Stress)*((pi*(Diameter^3))/(32*Eccentric Load on Column)) to evaluate the Eccentricity of Loading, The Eccentricity of Load given Minimum Bending Stress formula is defined as a measure of the load's deviation from the central axis of a beam, which affects the bending stress and overall structural integrity, providing a critical value for engineers to design and optimize beam structures under various loads. Eccentricity of Loading is denoted by e_load symbol.

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

FAQs on Eccentricity of Load given Minimum Bending Stress

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

The formula of Eccentricity of Load given Minimum Bending Stress is expressed as Eccentricity of Loading = (((4*Eccentric Load on Column)/(pi*(Diameter^2)))-Minimum Bending Stress)*((pi*(Diameter^3))/(32*Eccentric Load on Column)). Here is an example- 17549.21 = (((4*7000)/(pi*(0.142^2)))-402009)*((pi*(0.142^3))/(32*7000)).

How to calculate Eccentricity of Load given Minimum Bending Stress?

With Eccentric Load on Column (P), Diameter (d) & Minimum Bending Stress (σb^min) we can find Eccentricity of Load given Minimum Bending Stress using the formula - Eccentricity of Loading = (((4*Eccentric Load on Column)/(pi*(Diameter^2)))-Minimum Bending Stress)*((pi*(Diameter^3))/(32*Eccentric Load on Column)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Eccentricity of Loading?

Here are the different ways to Calculate Eccentricity of Loading-

Eccentricity of Loading=Diameter/8
Eccentricity of Loading=(Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentric Load on Column)

Can the Eccentricity of Load given Minimum Bending Stress be negative?

No, the Eccentricity of Load given Minimum Bending Stress, measured in Length cannot be negative.

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

Eccentricity of Load given Minimum Bending Stress is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Eccentricity of Load given Minimum Bending Stress can be measured.

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Eccentricity of Load given Minimum Bending Stress Formula

​GoMaximum value of Eccentricity for No Tensile Stress Formula

​GoEccentricity of Load given Maximum Bending Stress Formula

Eccentricity of Load given Minimum Bending Stress Example

Eccentricity of Load given Minimum Bending Stress Solution

Eccentricity of Load given Minimum Bending Stress Formula Elements

Other Formulas to find Eccentricity of Loading

Other formulas in Middle Quarter Rule for Circular Section category

How to Evaluate Eccentricity of Load given Minimum Bending Stress?

FAQs on Eccentricity of Load given Minimum Bending Stress

Variable Name

GoMaximum value of Eccentricity for No Tensile Stress Formula

GoEccentricity of Load given Maximum Bending Stress Formula