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Maximum Stress when Subjected to Eccentric Axial Load Formula

GoMaximum Stress given Eccentric Load and Eccentricity Formula

GoMaximum Stress 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}{A sectional}) + (\frac{P \cdot e load \cdot h o}{I yy})

σ_max - Maximum Stress on Column Section?P - Eccentric Load on Column?A_sectional - Column Cross Sectional Area?e_load - Eccentricity of Loading?h_o - Distance of Outer Fibre from Neutral Axis?I_yy - Moment of Inertia about y-y axis?

Maximum Stress when Subjected to Eccentric Axial Load Example

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Here is how the Maximum Stress when Subjected to Eccentric Axial Load equation looks like with Values.

Here is how the Maximum Stress when Subjected to Eccentric Axial Load equation looks like with Units.

Here is how the Maximum Stress when Subjected to Eccentric Axial Load equation looks like.

0.0054 = (\frac{7}{1.4}) + (\frac{7 \cdot 25 \cdot 12}{5E+9})

0.0054MPa = (\frac{7kN}{1.4m²}) + (\frac{7kN \cdot 25mm \cdot 12mm}{5E+9mm⁴})

0.0054 = (\frac{7}{1.4}) + (\frac{7 \cdot 25 \cdot 12}{5E+9})

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Maximum Stress when Subjected to Eccentric Axial Load Solution

Follow our step by step solution on how to calculate Maximum Stress when Subjected to Eccentric Axial Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ max = (\frac{7kN}{1.4m²}) + (\frac{7kN \cdot 25mm \cdot 12mm}{5E+9mm⁴})

Next Step Convert Units

∴

σ max = (\frac{7000N}{1.4m²}) + (\frac{7000N \cdot 0.025m \cdot 0.012m}{0.005m⁴})

Next Step Prepare to Evaluate

∴

σ max = (\frac{7000}{1.4}) + (\frac{7000 \cdot 0.025 \cdot 0.012}{0.005})

Next Step Evaluate

∴

σ max = 5420Pa

Next Step Convert to Output's Unit

∴

σ max = 0.00542MPa

LAST Step Rounding Answer

∴

σ max = 0.0054MPa

Maximum Stress when Subjected to Eccentric Axial Load 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 should be greater than 0.

Formulas to find Eccentric Load on 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

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

Distance of Outer Fibre from Neutral Axis

Distance of Outer Fibre from Neutral Axis is the point where the fibers of a material undergoing bending are stretched maximum.

Symbol: h_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance of Outer Fibre from Neutral Axis

Moment of Inertia about y-y axis

Moment of Inertia about y-y axis is defined as the quantity expressed by the body resisting angular acceleration.

Symbol: I_yy

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia about y-y axis

Other Formulas to find Maximum Stress on Column Section

Go Maximum Stress given Eccentric Load and Eccentricity

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

Go Maximum Stress

σ max = (σ + σ b)

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 when Subjected to Eccentric Axial Load?

Maximum Stress when Subjected to Eccentric Axial Load evaluator uses 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) to evaluate the Maximum Stress on Column Section, The Maximum Stress when Subjected to Eccentric Axial Load formula is defined as a measure of the maximum stress experienced by a material when it is subjected to both axial and bending loads, resulting in a combination of direct and bending stresses that can cause deformation or failure. Maximum Stress on Column Section is denoted by σ_max symbol.

How to evaluate Maximum Stress when Subjected to Eccentric Axial Load using this online evaluator? To use this online evaluator for Maximum Stress when Subjected to Eccentric Axial Load, enter Eccentric Load on Column (P), Column Cross Sectional Area (A_sectional), Eccentricity of Loading (e_load), Distance of Outer Fibre from Neutral Axis (h_o) & Moment of Inertia about y-y axis (I_yy) and hit the calculate button.

FAQs on Maximum Stress when Subjected to Eccentric Axial Load

What is the formula to find Maximum Stress when Subjected to Eccentric Axial Load?

The formula of Maximum Stress when Subjected to Eccentric Axial Load is expressed as 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). Here is an example- 5.4E-9 = (7000/1.4)+((7000*0.025*0.012)/0.005).

How to calculate Maximum Stress when Subjected to Eccentric Axial Load?

With Eccentric Load on Column (P), Column Cross Sectional Area (A_sectional), Eccentricity of Loading (e_load), Distance of Outer Fibre from Neutral Axis (h_o) & Moment of Inertia about y-y axis (I_yy) we can find Maximum Stress when Subjected to Eccentric Axial Load using the formula - 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).

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=(Eccentric Load on Column*(1+(6*Eccentricity of Loading/Width of Column)))/(Column Cross Sectional Area)
Maximum Stress on Column Section=(Direct Stress+Bending Stress in Column)

Can the Maximum Stress when Subjected to Eccentric Axial Load be negative?

No, the Maximum Stress when Subjected to Eccentric Axial Load, measured in Pressure cannot be negative.

Which unit is used to measure Maximum Stress when Subjected to Eccentric Axial Load?

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

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Maximum Stress when Subjected to Eccentric Axial Load Formula

​GoMaximum Stress given Eccentric Load and Eccentricity Formula

​GoMaximum Stress Formula

Maximum Stress when Subjected to Eccentric Axial Load Example

Maximum Stress when Subjected to Eccentric Axial Load Solution

Maximum Stress when Subjected to Eccentric Axial Load 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 when Subjected to Eccentric Axial Load?

FAQs on Maximum Stress when Subjected to Eccentric Axial Load

Variable Name

GoMaximum Stress given Eccentric Load and Eccentricity Formula

GoMaximum Stress Formula