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Depth of Column using Bending Stress and Moment Due to Load Formula

GoDepth of Column using Bending Stress and Eccentric Load Formula

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

h = \frac{6 \cdot M}{σ b \cdot (b^{2})}

h - Depth of Column?M - Moment due to Eccentric Load?σ_b - Bending Stress in Column?b - Width of Column?

Depth of Column using Bending Stress and Moment Due to Load Example

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Here is how the Depth of Column using Bending Stress and Moment Due to Load equation looks like with Values.

Here is how the Depth of Column using Bending Stress and Moment Due to Load equation looks like with Units.

Here is how the Depth of Column using Bending Stress and Moment Due to Load equation looks like.

3.375 = \frac{6 \cdot 8.1}{0.04 \cdot (600^{2})}

3.375mm = \frac{6 \cdot 8.1N*m}{0.04MPa \cdot ({600mm}^{2})}

3.375 = \frac{6 \cdot 8.1}{0.04 \cdot (600^{2})}

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Depth of Column using Bending Stress and Moment Due to Load Solution

Follow our step by step solution on how to calculate Depth of Column using Bending Stress and Moment Due to Load?

FIRST Step Consider the formula

h = \frac{6 \cdot M}{σ b \cdot (b^{2})}

Next Step Substitute values of Variables

∴

h = \frac{6 \cdot 8.1N*m}{0.04MPa \cdot ({600mm}^{2})}

Next Step Convert Units

∴

h = \frac{6 \cdot 8.1N*m}{40000Pa \cdot ({0.6m}^{2})}

Next Step Prepare to Evaluate

∴

h = \frac{6 \cdot 8.1}{40000 \cdot ({0.6}^{2})}

Next Step Evaluate

∴

h = 0.003375m

LAST Step Convert to Output's Unit

∴

h = 3.375mm

Depth of Column using Bending Stress and Moment Due to Load Formula Elements

Variables

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

Moment due to Eccentric Load

Moment due to Eccentric Load is at any point of column section due to eccentric load.

Symbol: M

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Moment due to Eccentric Load

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

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

Other Formulas to find Depth of Column

Go Depth of Column using Bending Stress and Eccentric Load

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

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 Depth of Column using Bending Stress and Moment Due to Load?

Depth of Column using Bending Stress and Moment Due to Load evaluator uses Depth of Column = (6*Moment due to Eccentric Load)/(Bending Stress in Column*(Width of Column^2)) to evaluate the Depth of Column, The Depth of Column using Bending Stress and Moment Due to Load formula is defined as a measure of the maximum height of a column that can withstand a given load without collapsing, taking into account the bending stress and moment of the load, providing a safe and efficient design for structural elements. Depth of Column is denoted by h symbol.

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

FAQs on Depth of Column using Bending Stress and Moment Due to Load

What is the formula to find Depth of Column using Bending Stress and Moment Due to Load?

The formula of Depth of Column using Bending Stress and Moment Due to Load is expressed as Depth of Column = (6*Moment due to Eccentric Load)/(Bending Stress in Column*(Width of Column^2)). Here is an example- 3375 = (6*8.1)/(40000*(0.6^2)).

How to calculate Depth of Column using Bending Stress and Moment Due to Load?

With Moment due to Eccentric Load (M), Bending Stress in Column (σ_b) & Width of Column (b) we can find Depth of Column using Bending Stress and Moment Due to Load using the formula - Depth of Column = (6*Moment due to Eccentric Load)/(Bending Stress in Column*(Width of Column^2)).

What are the other ways to Calculate Depth of Column?

Here are the different ways to Calculate Depth of Column-

Depth of Column=(6*Eccentric Load on Column*Eccentricity of Loading)/(Bending Stress in Column*(Width of Column^2))

Can the Depth of Column using Bending Stress and Moment Due to Load be negative?

No, the Depth of Column using Bending Stress and Moment Due to Load, measured in Length cannot be negative.

Which unit is used to measure Depth of Column using Bending Stress and Moment Due to Load?

Depth of Column using Bending Stress and Moment Due to Load is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Depth of Column using Bending Stress and Moment Due to Load can be measured.

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Depth of Column using Bending Stress and Moment Due to Load Formula

​GoDepth of Column using Bending Stress and Eccentric Load Formula

Depth of Column using Bending Stress and Moment Due to Load Example

Depth of Column using Bending Stress and Moment Due to Load Solution

Depth of Column using Bending Stress and Moment Due to Load Formula Elements

Other Formulas to find Depth of Column

Other formulas in Rectangular Section Is Subjected to Eccentric Load category

How to Evaluate Depth of Column using Bending Stress and Moment Due to Load?

FAQs on Depth of Column using Bending Stress and Moment Due to Load

Variable Name

GoDepth of Column using Bending Stress and Eccentric Load Formula