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Eccentricity of Load given Maximum Bending Stress Formula

GoMaximum value of Eccentricity for No Tensile Stress Formula

GoEccentricity of Load given Minimum 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{M max \cdot (π \cdot (d^{3}))}{32 \cdot P}

e_load - Eccentricity of Loading?M_max - Maximum Bending Moment?d - Diameter?P - Eccentric Load on Column?π - Archimedes' constant?

Eccentricity of Load given Maximum Bending Stress Example

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

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

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

0.0004 = \frac{10.01 \cdot (3.1416 \cdot (142^{3}))}{32 \cdot 7}

0.0004mm = \frac{10.01N*m \cdot (3.1416 \cdot ({142mm}^{3}))}{32 \cdot 7kN}

0.0004 = \frac{10.01 \cdot (3.1416 \cdot (142^{3}))}{32 \cdot 7}

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Eccentricity of Load given Maximum Bending Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

e load = \frac{10.01N*m \cdot (π \cdot ({142mm}^{3}))}{32 \cdot 7kN}

Next Step Substitute values of Constants

∴

e load = \frac{10.01N*m \cdot (3.1416 \cdot ({142mm}^{3}))}{32 \cdot 7kN}

Next Step Convert Units

∴

e load = \frac{10.01N*m \cdot (3.1416 \cdot ({0.142m}^{3}))}{32 \cdot 7000N}

Next Step Prepare to Evaluate

∴

e load = \frac{10.01 \cdot (3.1416 \cdot ({0.142}^{3}))}{32 \cdot 7000}

Next Step Evaluate

∴

e load = 4.01976778145434E-07m

Next Step Convert to Output's Unit

∴

e load = 0.000401976778145434mm

LAST Step Rounding Answer

∴

e load = 0.0004mm

Eccentricity of Load given Maximum 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

Maximum Bending Moment

The Maximum Bending Moment is the greatest moment (force applied over a distance) experienced by a structural member, like a beam, when subjected to loading.

Symbol: M_max

Measurement: Moment of ForceUnit: N*m

Note: Value should be greater than 0.

Formulas to find Maximum Bending Moment

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

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 Minimum Bending Stress

e load = ((\frac{4 \cdot P}{π \cdot (d^{2})}) - σb min) \cdot (\frac{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 Maximum Bending Stress?

Eccentricity of Load given Maximum Bending Stress evaluator uses Eccentricity of Loading = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentric Load on Column) to evaluate the Eccentricity of Loading, The Eccentricity of Load given Maximum Bending Stress formula is defined as a measure of how much the load is offset from the axis, which affects the bending stress on a beam, and is critical in determining the maximum bending stress a beam can withstand without failing. Eccentricity of Loading is denoted by e_load symbol.

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

FAQs on Eccentricity of Load given Maximum Bending Stress

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

The formula of Eccentricity of Load given Maximum Bending Stress is expressed as Eccentricity of Loading = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentric Load on Column). Here is an example- 0.401977 = (10.01*(pi*(0.142^3)))/(32*7000).

How to calculate Eccentricity of Load given Maximum Bending Stress?

With Maximum Bending Moment (M_max), Diameter (d) & Eccentric Load on Column (P) we can find Eccentricity of Load given Maximum Bending Stress using the formula - Eccentricity of Loading = (Maximum Bending Moment*(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=(((4*Eccentric Load on Column)/(pi*(Diameter^2)))-Minimum Bending Stress)*((pi*(Diameter^3))/(32*Eccentric Load on Column))

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

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

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

Eccentricity of Load given Maximum 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 Maximum Bending Stress can be measured.

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Eccentricity of Load given Maximum Bending Stress Formula

​GoMaximum value of Eccentricity for No Tensile Stress Formula

​GoEccentricity of Load given Minimum Bending Stress Formula

Eccentricity of Load given Maximum Bending Stress Example

Eccentricity of Load given Maximum Bending Stress Solution

Eccentricity of Load given Maximum 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 Maximum Bending Stress?

FAQs on Eccentricity of Load given Maximum Bending Stress

Variable Name

GoMaximum value of Eccentricity for No Tensile Stress Formula

GoEccentricity of Load given Minimum Bending Stress Formula