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Maximum Stress given Eccentric Load and Eccentricity Formula

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

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

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

Maximum Stress given Eccentric Load and Eccentricity Example

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

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

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

0.0062 = \frac{7 \cdot (1 + (6 \cdot \frac{25}{600}))}{1.4}

0.0062MPa = \frac{7kN \cdot (1 + (6 \cdot \frac{25mm}{600mm}))}{1.4m²}

0.0062 = \frac{7 \cdot (1 + (6 \cdot \frac{25}{600}))}{1.4}

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Maximum Stress given Eccentric Load and Eccentricity Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ max = \frac{7kN \cdot (1 + (6 \cdot \frac{25mm}{600mm}))}{1.4m²}

Next Step Convert Units

∴

σ max = \frac{7000N \cdot (1 + (6 \cdot \frac{0.025m}{0.6m}))}{1.4m²}

Next Step Prepare to Evaluate

∴

σ max = \frac{7000 \cdot (1 + (6 \cdot \frac{0.025}{0.6}))}{1.4}

Next Step Evaluate

∴

σ max = 6250Pa

Next Step Convert to Output's Unit

∴

σ max = 0.00625MPa

LAST Step Rounding Answer

∴

σ max = 0.0062MPa

Maximum Stress given Eccentric Load and Eccentricity Formula Elements

Variables

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

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

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

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

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

Other Formulas to find Maximum Stress on Column Section

Go Maximum stress

σ max = (σ + σ b)

Go Maximum stress when subjected to eccentric axial load

σ max = (\frac{P}{A sectional}) + (\frac{P \cdot e load \cdot h o}{I yy})

Other formulas in Rectangular Section Is Subjected to Eccentric Load category

Go Eccentricity using Minimum Stress

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

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)

How to Evaluate Maximum Stress given Eccentric Load and Eccentricity?

Maximum Stress given Eccentric Load and Eccentricity evaluator uses Maximum Stress on Column Section = (Eccentric load on column*(1+(6*Eccentricity of Loading/Width of column)))/(Column Cross Sectional Area) to evaluate the Maximum Stress on Column Section, The Maximum stress given eccentric load and eccentricity formula is defined as the maximum stress that a material withstands before fracture. Maximum Stress on Column Section is denoted by σ_max symbol.

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

FAQs on Maximum Stress given Eccentric Load and Eccentricity

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

The formula of Maximum Stress given Eccentric Load and Eccentricity is expressed as Maximum Stress on Column Section = (Eccentric load on column*(1+(6*Eccentricity of Loading/Width of column)))/(Column Cross Sectional Area). Here is an example- 1.5E-8 = (7000*(1+(6*0.025/0.6)))/(1.4).

How to calculate Maximum Stress given Eccentric Load and Eccentricity?

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

What are the other ways to Calculate Maximum Stress on Column Section?

Here are the different ways to Calculate Maximum Stress on Column Section-

Maximum Stress on Column Section=(Direct Stress+Bending Stress in Column)
Maximum Stress on Column Section=(Eccentric load on column/Column Cross Sectional Area)+((Eccentric load on column*Eccentricity of Loading*Distance of Outer Fibre from Neutral Axis)/Moment of Inertia about y-y axis)

Can the Maximum Stress given Eccentric Load and Eccentricity be negative?

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

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

Maximum Stress given Eccentric Load and Eccentricity is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Maximum Stress given Eccentric Load and Eccentricity can be measured.

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Maximum Stress given Eccentric Load and Eccentricity Formula

​GoMaximum stress Formula

​GoMaximum stress when subjected to eccentric axial load Formula

Maximum Stress given Eccentric Load and Eccentricity Example

Maximum Stress given Eccentric Load and Eccentricity Solution

Maximum Stress given Eccentric Load and Eccentricity Formula Elements

Other Formulas to find Maximum Stress on Column Section

Other formulas in Rectangular Section Is Subjected to Eccentric Load category

How to Evaluate Maximum Stress given Eccentric Load and Eccentricity?

FAQs on Maximum Stress given Eccentric Load and Eccentricity

Variable Name

GoMaximum stress Formula

GoMaximum stress when subjected to eccentric axial load Formula