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Length of Rectangular Section given Section Modulus Formula

GoLength of Rectangular Section using Distance of Outermost Layer from Neutral Layer Formula

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Length of Rectangular Section is the longer dimension of a rectangular cross-section or structural component. Check FAQs

L = \sqrt{\frac{6 \cdot Z}{B}}

L - Length of Rectangular Section?Z - Section Modulus?B - Breadth of Rectangular Section?

Length of Rectangular Section given Section Modulus Example

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Here is how the Length of Rectangular Section given Section Modulus equation looks like with Values.

Here is how the Length of Rectangular Section given Section Modulus equation looks like with Units.

Here is how the Length of Rectangular Section given Section Modulus equation looks like.

15.1911 = \sqrt{\frac{6 \cdot 25000}{650}}

15.1911mm = \sqrt{\frac{6 \cdot 25000mm³}{650mm}}

15.1911 = \sqrt{\frac{6 \cdot 25000}{650}}

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Length of Rectangular Section given Section Modulus Solution

Follow our step by step solution on how to calculate Length of Rectangular Section given Section Modulus?

FIRST Step Consider the formula

L = \sqrt{\frac{6 \cdot Z}{B}}

Next Step Substitute values of Variables

∴

L = \sqrt{\frac{6 \cdot 25000mm³}{650mm}}

Next Step Convert Units

∴

L = \sqrt{\frac{6 \cdot 2.5E-5m³}{0.65m}}

Next Step Prepare to Evaluate

∴

L = \sqrt{\frac{6 \cdot 2.5E-5}{0.65}}

Next Step Evaluate

∴

L = 0.015191090506255m

Next Step Convert to Output's Unit

∴

L = 15.191090506255mm

LAST Step Rounding Answer

∴

L = 15.1911mm

Length of Rectangular Section given Section Modulus Formula Elements

Variables

Functions

Length of Rectangular Section

Length of Rectangular Section is the longer dimension of a rectangular cross-section or structural component.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Rectangular Section

Section Modulus

Section Modulus is a geometric property of a cross-section used in structural and mechanical engineering to assess the strength of a beam or similar structure.

Symbol: Z

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus

Breadth of Rectangular Section

Breadth of Rectangular Section is one of the two primary dimensions of a rectangular cross-sectional area, typically the shorter dimension compared to the length.

Symbol: B

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Breadth of Rectangular Section

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 Length of Rectangular Section

Go Length of Rectangular Section using Distance of Outermost Layer from Neutral Layer

L = 2 \cdot Y max

Other formulas in Rectangular Section category

Go Breadth of Rectangular Section given Section Modulus

B = \frac{6 \cdot Z}{L^{2}}

Go Section Modulus for Rectangular Section

Z = \frac{1}{6} \cdot B \cdot L^{2}

Go Distance of Outermost Layer from Neutral Layer for Rectangular Section

Y max = \frac{L}{2}

How to Evaluate Length of Rectangular Section given Section Modulus?

Length of Rectangular Section given Section Modulus evaluator uses Length of Rectangular Section = sqrt((6*Section Modulus)/Breadth of Rectangular Section) to evaluate the Length of Rectangular Section, The Length of Rectangular Section given Section Modulus formula is defined as a measure of the length of a rectangular section, which is a critical parameter in determining the bending stress in a beam, and is essential in structural engineering for designing beams that can withstand various types of loads. Length of Rectangular Section is denoted by L symbol.

How to evaluate Length of Rectangular Section given Section Modulus using this online evaluator? To use this online evaluator for Length of Rectangular Section given Section Modulus, enter Section Modulus (Z) & Breadth of Rectangular Section (B) and hit the calculate button.

FAQs on Length of Rectangular Section given Section Modulus

What is the formula to find Length of Rectangular Section given Section Modulus?

The formula of Length of Rectangular Section given Section Modulus is expressed as Length of Rectangular Section = sqrt((6*Section Modulus)/Breadth of Rectangular Section). Here is an example- 15191.09 = sqrt((6*2.5E-05)/0.65).

How to calculate Length of Rectangular Section given Section Modulus?

With Section Modulus (Z) & Breadth of Rectangular Section (B) we can find Length of Rectangular Section given Section Modulus using the formula - Length of Rectangular Section = sqrt((6*Section Modulus)/Breadth of Rectangular Section). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Length of Rectangular Section?

Here are the different ways to Calculate Length of Rectangular Section-

Length of Rectangular Section=2*Distance b/w Outermost and Neutral Layer

Can the Length of Rectangular Section given Section Modulus be negative?

No, the Length of Rectangular Section given Section Modulus, measured in Length cannot be negative.

Which unit is used to measure Length of Rectangular Section given Section Modulus?

Length of Rectangular Section given Section Modulus is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Length of Rectangular Section given Section Modulus can be measured.

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Length of Rectangular Section given Section Modulus Formula

​GoLength of Rectangular Section using Distance of Outermost Layer from Neutral Layer Formula

Length of Rectangular Section given Section Modulus Example

Length of Rectangular Section given Section Modulus Solution

Length of Rectangular Section given Section Modulus Formula Elements

Other Formulas to find Length of Rectangular Section

Other formulas in Rectangular Section category

How to Evaluate Length of Rectangular Section given Section Modulus?

FAQs on Length of Rectangular Section given Section Modulus

Variable Name

GoLength of Rectangular Section using Distance of Outermost Layer from Neutral Layer Formula