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Width of Column given Bending Stress and Moment due to Load Formula

GoWidth of Column using Bending Stress and Eccentric Load Formula

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

b = \sqrt{\frac{6 \cdot M}{h \cdot σ b}}

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

Width of Column given Bending Stress and Moment due to Load Example

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Here is how the Width of Column given Bending Stress and Moment due to Load equation looks like with Values.

Here is how the Width of Column given Bending Stress and Moment due to Load equation looks like with Units.

Here is how the Width of Column given Bending Stress and Moment due to Load equation looks like.

20.1246 = \sqrt{\frac{6 \cdot 8.1}{3000 \cdot 0.04}}

20.1246mm = \sqrt{\frac{6 \cdot 8.1N*m}{3000mm \cdot 0.04MPa}}

20.1246 = \sqrt{\frac{6 \cdot 8.1}{3000 \cdot 0.04}}

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Width of Column given Bending Stress and Moment due to Load Solution

Follow our step by step solution on how to calculate Width of Column given Bending Stress and Moment due to Load?

FIRST Step Consider the formula

b = \sqrt{\frac{6 \cdot M}{h \cdot σ b}}

Next Step Substitute values of Variables

∴

b = \sqrt{\frac{6 \cdot 8.1N*m}{3000mm \cdot 0.04MPa}}

Next Step Convert Units

∴

b = \sqrt{\frac{6 \cdot 8.1N*m}{3m \cdot 40000Pa}}

Next Step Prepare to Evaluate

∴

b = \sqrt{\frac{6 \cdot 8.1}{3 \cdot 40000}}

Next Step Evaluate

∴

b = 0.0201246117974981m

Next Step Convert to Output's Unit

∴

b = 20.1246117974981mm

LAST Step Rounding Answer

∴

b = 20.1246mm

Width of Column given Bending Stress and Moment due to Load Formula Elements

Variables

Functions

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Width of Column

Go Width of Column using Bending Stress and Eccentric Load

b = \sqrt{\frac{6 \cdot P \cdot e load}{h \cdot 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 Width of Column given Bending Stress and Moment due to Load?

Width of Column given Bending Stress and Moment due to Load evaluator uses Width of Column = sqrt((6*Moment due to Eccentric Load)/(Depth of Column*Bending Stress in Column)) to evaluate the Width of Column, The Width of Column given Bending Stress and Moment due to Load formula is defined as the width of a column that can withstand a given bending stress and moment due to load, providing a critical dimension for structural integrity in construction and engineering applications. Width of Column is denoted by b symbol.

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

FAQs on Width of Column given Bending Stress and Moment due to Load

What is the formula to find Width of Column given Bending Stress and Moment due to Load?

The formula of Width of Column given Bending Stress and Moment due to Load is expressed as Width of Column = sqrt((6*Moment due to Eccentric Load)/(Depth of Column*Bending Stress in Column)). Here is an example- 20124.61 = sqrt((6*8.1)/(3*40000)).

How to calculate Width of Column given Bending Stress and Moment due to Load?

With Moment due to Eccentric Load (M), Depth of Column (h) & Bending Stress in Column (σ_b) we can find Width of Column given Bending Stress and Moment due to Load using the formula - Width of Column = sqrt((6*Moment due to Eccentric Load)/(Depth of Column*Bending Stress in Column)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Width of Column?

Here are the different ways to Calculate Width of Column-

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

Can the Width of Column given Bending Stress and Moment due to Load be negative?

No, the Width of Column given Bending Stress and Moment due to Load, measured in Length cannot be negative.

Which unit is used to measure Width of Column given Bending Stress and Moment due to Load?

Width of Column given 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 Width of Column given Bending Stress and Moment due to Load can be measured.

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Width of Column given Bending Stress and Moment due to Load Formula

​GoWidth of Column using Bending Stress and Eccentric Load Formula

Width of Column given Bending Stress and Moment due to Load Example

Width of Column given Bending Stress and Moment due to Load Solution

Width of Column given Bending Stress and Moment due to Load Formula Elements

Other Formulas to find Width of Column

Other formulas in Rectangular Section Is Subjected to Eccentric Load category

How to Evaluate Width of Column given Bending Stress and Moment due to Load?

FAQs on Width of Column given Bending Stress and Moment due to Load

Variable Name

GoWidth of Column using Bending Stress and Eccentric Load Formula