Length of Rectangular Section given Section Modulus Calculator

✖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.ⓘ Section Modulus [Z]			+10% -10%
✖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.ⓘ Breadth of Rectangular Section [B]			+10% -10%

✖Length of Rectangular Section is the longer dimension of a rectangular cross-section or structural component.ⓘ Length of Rectangular Section given Section Modulus [L]

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Length of Rectangular Section given Section Modulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Rectangular Section = sqrt((6*Section Modulus)/Breadth of Rectangular Section)
L = sqrt((6*Z)/B)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Length of Rectangular Section - (Measured in Meter) - Length of Rectangular Section is the longer dimension of a rectangular cross-section or structural component.
Section Modulus - (Measured in Cubic Meter) - 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.
Breadth of Rectangular Section - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Section Modulus: 25000 Cubic Millimeter --> 2.5E-05 Cubic Meter (Check conversion here)
Breadth of Rectangular Section: 650 Millimeter --> 0.65 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = sqrt((6*Z)/B) --> sqrt((6*2.5E-05)/0.65)

Evaluating ... ...

L = 0.015191090506255

STEP 3: Convert Result to Output's Unit

0.015191090506255 Meter -->15.191090506255 Millimeter (Check conversion here)

FINAL ANSWER

15.191090506255 ≈ 15.19109 Millimeter <-- Length of Rectangular Section

(Calculation completed in 00.004 seconds)

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< Rectangular Section Calculators

Length of Rectangular Section given Section Modulus

LaTeX Go Length of Rectangular Section = sqrt((6*Section Modulus)/Breadth of Rectangular Section)

Breadth of Rectangular Section given Section Modulus

LaTeX Go Breadth of Rectangular Section = (6*Section Modulus)/(Length of Rectangular Section^2)

Section Modulus for Rectangular Section

LaTeX Go Section Modulus = 1/6*Breadth of Rectangular Section*Length of Rectangular Section^2

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

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

Length of Rectangular Section given Section Modulus Formula

LaTeX Go

Length of Rectangular Section = sqrt((6*Section Modulus)/Breadth of Rectangular Section)
L = sqrt((6*Z)/B)

What is the Section Modulus?

The Section Modulus is a geometric property of a cross-section used in engineering, particularly in the fields of structural and mechanical design. It is crucial in determining the strength and load-carrying capacity of structural members such as beams.

How to Calculate Length of Rectangular Section given Section Modulus?

Length of Rectangular Section given Section Modulus calculator uses Length of Rectangular Section = sqrt((6*Section Modulus)/Breadth of Rectangular Section) to calculate 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 calculate Length of Rectangular Section given Section Modulus using this online calculator? To use this online calculator for Length of Rectangular Section given Section Modulus, enter Section Modulus (Z) & Breadth of Rectangular Section (B) and hit the calculate button. Here is how the Length of Rectangular Section given Section Modulus calculation can be explained with given input values -> 15191.09 = sqrt((6*2.5E-05)/0.65).

FAQ

What is Length of Rectangular Section given Section Modulus?

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 and is represented as L = sqrt((6*Z)/B) or Length of Rectangular Section = sqrt((6*Section Modulus)/Breadth of Rectangular Section). 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 & 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.

How to calculate Length of Rectangular Section given Section Modulus?

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 is calculated using Length of Rectangular Section = sqrt((6*Section Modulus)/Breadth of Rectangular Section). To calculate Length of Rectangular Section given Section Modulus, you need Section Modulus (Z) & Breadth of Rectangular Section (B). With our tool, you need to enter the respective value for Section Modulus & Breadth of Rectangular Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Length of Rectangular Section?

In this formula, Length of Rectangular Section uses Section Modulus & Breadth of Rectangular Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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