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Eccentricity using Maximum Stress Formula

GoEccentricity using Minimum Stress Formula

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

e_load - Eccentricity of Loading?σ_max - Maximum Stress on Column Section?A_sectional - Column Cross Sectional Area?P - Eccentric load on column?b - Width of column?

Eccentricity using Maximum Stress Example

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

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

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

5900 = ((0.3 \cdot \frac{1.4}{7}) - 1) \cdot (\frac{600}{6})

5900mm = ((0.3MPa \cdot \frac{1.4m²}{7kN}) - 1) \cdot (\frac{600mm}{6})

5900 = ((0.3 \cdot \frac{1.4}{7}) - 1) \cdot (\frac{600}{6})

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Eccentricity using Maximum Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

e load = ((0.3MPa \cdot \frac{1.4m²}{7kN}) - 1) \cdot (\frac{600mm}{6})

Next Step Convert Units

∴

e load = ((300000Pa \cdot \frac{1.4m²}{7000N}) - 1) \cdot (\frac{0.6m}{6})

Next Step Prepare to Evaluate

∴

e load = ((300000 \cdot \frac{1.4}{7000}) - 1) \cdot (\frac{0.6}{6})

Next Step Evaluate

∴

e load = 5.9m

LAST Step Convert to Output's Unit

∴

e load = 5900mm

Eccentricity using Maximum 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

Maximum Stress on Column Section

Maximum Stress on Column Section is the maximum stress that the column material withstands before fracture.

Symbol: σ_max

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Stress on Column Section

Column Cross Sectional Area

Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_sectional

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Column Cross Sectional Area

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 can be positive or negative.

Formulas to find Eccentric load on column

Width of column

Width of column is describing how wide the column is.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of 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 Bending Stress

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

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 Maximum Stress?

Eccentricity using Maximum Stress evaluator uses Eccentricity of Loading = ((Maximum Stress on Column Section*Column Cross Sectional Area/Eccentric load on column)-1)*(Width of column/6) to evaluate the Eccentricity of Loading, The Eccentricity using maximum stress formula is defined as the distance from the center of gravity of the column section to the center of gravity of the applied load. Eccentricity of Loading is denoted by e_load symbol.

How to evaluate Eccentricity using Maximum Stress using this online evaluator? To use this online evaluator for Eccentricity using Maximum Stress, enter Maximum Stress on Column Section (σ_max), Column Cross Sectional Area (A_sectional), Eccentric load on column (P) & Width of column (b) and hit the calculate button.

FAQs on Eccentricity using Maximum Stress

What is the formula to find Eccentricity using Maximum Stress?

The formula of Eccentricity using Maximum Stress is expressed as Eccentricity of Loading = ((Maximum Stress on Column Section*Column Cross Sectional Area/Eccentric load on column)-1)*(Width of column/6). Here is an example- 5.9E+6 = ((300000*1.4/7000)-1)*(0.6/6).

How to calculate Eccentricity using Maximum Stress?

With Maximum Stress on Column Section (σ_max), Column Cross Sectional Area (A_sectional), Eccentric load on column (P) & Width of column (b) we can find Eccentricity using Maximum Stress using the formula - Eccentricity of Loading = ((Maximum Stress on Column Section*Column Cross Sectional Area/Eccentric load on column)-1)*(Width of column/6).

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=(Bending Stress in Column*(Depth of Column*(Width of column^2)))/(6*Eccentric load on column)
Eccentricity of Loading=Moment due to eccentric load/Eccentric load on column

Can the Eccentricity using Maximum Stress be negative?

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

Which unit is used to measure Eccentricity using Maximum Stress?

Eccentricity using Maximum 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 Maximum Stress can be measured.

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Eccentricity using Maximum Stress Formula

​GoEccentricity using Minimum Stress Formula

​GoEccentricity using Bending Stress Formula

Eccentricity using Maximum Stress Example

Eccentricity using Maximum Stress Solution

Eccentricity using Maximum 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 Maximum Stress?

FAQs on Eccentricity using Maximum Stress

Variable Name

GoEccentricity using Minimum Stress Formula

GoEccentricity using Bending Stress Formula