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Eccentricity using Bending Stress Formula

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GoEccentricity using Maximum 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{σ b \cdot (h \cdot (b^{2}))}{6 \cdot P}

e_load - Eccentricity of Loading?σ_b - Bending Stress in Column?h - Depth of Column?b - Width of Column?P - Eccentric Load on Column?

Eccentricity using Bending Stress Example

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Here is how the Eccentricity using Bending Stress equation looks like with Values.

Here is how the Eccentricity using Bending Stress equation looks like with Units.

Here is how the Eccentricity using Bending Stress equation looks like.

1028.5714 = \frac{0.04 \cdot (3000 \cdot (600^{2}))}{6 \cdot 7}

1028.5714mm = \frac{0.04MPa \cdot (3000mm \cdot ({600mm}^{2}))}{6 \cdot 7kN}

1028.5714 = \frac{0.04 \cdot (3000 \cdot (600^{2}))}{6 \cdot 7}

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Eccentricity using Bending Stress Solution

Follow our step by step solution on how to calculate Eccentricity using Bending Stress?

FIRST Step Consider the formula

e load = \frac{σ b \cdot (h \cdot (b^{2}))}{6 \cdot P}

Next Step Substitute values of Variables

∴

e load = \frac{0.04MPa \cdot (3000mm \cdot ({600mm}^{2}))}{6 \cdot 7kN}

Next Step Convert Units

∴

e load = \frac{40000Pa \cdot (3m \cdot ({0.6m}^{2}))}{6 \cdot 7000N}

Next Step Prepare to Evaluate

∴

e load = \frac{40000 \cdot (3 \cdot ({0.6}^{2}))}{6 \cdot 7000}

Next Step Evaluate

∴

e load = 1.02857142857143m

Next Step Convert to Output's Unit

∴

e load = 1028.57142857143mm

LAST Step Rounding Answer

∴

e load = 1028.5714mm

Eccentricity using Bending Stress Formula Elements

Variables

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

Bending Stress in Column

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

Symbol: σ_b

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Bending Stress in Column

Depth of Column

Depth of Column is the distance from the top or surface to the bottom of something.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Column

Width of Column

Width of Column is describe that how wide the column is.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Column

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

Other Formulas to find Eccentricity of Loading

Go Eccentricity using Minimum Stress

e load = (1 - (σ min \cdot \frac{A sectional}{P})) \cdot (\frac{b}{6})

Go Eccentricity using Maximum Stress

e load = ((σ max \cdot \frac{A sectional}{P}) - 1) \cdot (\frac{b}{6})

Go Eccentricity for given Moment due to Eccentric Load

e load = \frac{M}{P}

Other formulas in Rectangular Section Is Subjected to Eccentric Load category

Go Eccentric Load using Minimum Stress

P = \frac{σ min \cdot A sectional}{1 - (6 \cdot \frac{e load}{b})}

Go Minimum Stress using Eccentric Load and Eccentricity

σ min = \frac{P \cdot (1 - (6 \cdot \frac{e load}{b}))}{A sectional}

Go Minimum Stress

σ min = (σ - σ b)

Go Eccentric Load using Maximum Stress

P = \frac{σ max \cdot A sectional}{1 + (6 \cdot \frac{e load}{b})}

How to Evaluate Eccentricity using Bending Stress?

Eccentricity using Bending Stress evaluator uses Eccentricity of Loading = (Bending Stress in Column*(Depth of Column*(Width of Column^2)))/(6*Eccentric Load on Column) to evaluate the Eccentricity of Loading, The Eccentricity using Bending Stress formula is defined as a measure of how much a structural element deviates from its neutral axis due to external loads, providing a critical indicator of stress concentration and potential failure points in beams and columns under combined direct and bending stresses. Eccentricity of Loading is denoted by e_load symbol.

How to evaluate Eccentricity using Bending Stress using this online evaluator? To use this online evaluator for Eccentricity using Bending Stress, enter Bending Stress in Column (σ_b), Depth of Column (h), Width of Column (b) & Eccentric Load on Column (P) and hit the calculate button.

FAQs on Eccentricity using Bending Stress

What is the formula to find Eccentricity using Bending Stress?

The formula of Eccentricity using Bending Stress is expressed as Eccentricity of Loading = (Bending Stress in Column*(Depth of Column*(Width of Column^2)))/(6*Eccentric Load on Column). Here is an example- 1E+6 = (40000*(3*(0.6^2)))/(6*7000).

How to calculate Eccentricity using Bending Stress?

With Bending Stress in Column (σ_b), Depth of Column (h), Width of Column (b) & Eccentric Load on Column (P) we can find Eccentricity using Bending Stress using the formula - Eccentricity of Loading = (Bending Stress in Column*(Depth of Column*(Width of Column^2)))/(6*Eccentric Load on Column).

What are the other ways to Calculate Eccentricity of Loading?

Here are the different ways to Calculate Eccentricity of Loading-

Eccentricity of Loading=(1-(Minimum Stress Value*Column Cross Sectional Area/Eccentric Load on Column))*(Width of Column/6)
Eccentricity of Loading=((Maximum Stress on Column Section*Column Cross Sectional Area/Eccentric Load on Column)-1)*(Width of Column/6)
Eccentricity of Loading=Moment due to Eccentric Load/Eccentric Load on Column

Can the Eccentricity using Bending Stress be negative?

No, the Eccentricity using Bending Stress, measured in Length cannot be negative.

Which unit is used to measure Eccentricity using Bending Stress?

Eccentricity using 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 using Bending Stress can be measured.

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Eccentricity using Bending Stress Formula

​GoEccentricity using Minimum Stress Formula

​GoEccentricity using Maximum Stress Formula

Eccentricity using Bending Stress Example

Eccentricity using Bending Stress Solution

Eccentricity using Bending Stress Formula Elements

Other Formulas to find Eccentricity of Loading

Other formulas in Rectangular Section Is Subjected to Eccentric Load category

How to Evaluate Eccentricity using Bending Stress?

FAQs on Eccentricity using Bending Stress

Variable Name

GoEccentricity using Minimum Stress Formula

GoEccentricity using Maximum Stress Formula