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 total distance from one end to other end, length is the longest side of rectangle.
Section Modulus - (Measured in Cubic Meter) - Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.
Breadth of Rectangular Section - (Measured in Meter) - Breadth of Rectangular Section is the shortest 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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National Institute Of Technology (NIT), Hamirpur
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5 Rectangular Section Calculators

Length of Rectangular Section given Section Modulus
Go Length of Rectangular Section = sqrt((6*Section Modulus)/Breadth of Rectangular Section)
Breadth of Rectangular Section given Section Modulus
Go Breadth of Rectangular Section = (6*Section Modulus)/(Length of Rectangular Section^2)
Section Modulus for Rectangular Section
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
Go Length of Rectangular Section = 2*Distance b/w Outermost and Neutral Layer
Distance of Outermost Layer from Neutral Layer for Rectangular Section
Go Distance b/w Outermost and Neutral Layer = Length of Rectangular Section/2

Length of Rectangular Section given Section Modulus Formula

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

What is the difference between elastic and plastic section modulus?

The elastic section modulus assumes the section remains elastic. The plastic section modulus assumes the entire section yields. Elastic modulus is the steel modulus based on the stress strain curve before yielding.

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, Length of Rectangular section given Section modulus is defined as the length of the longer side of the rectangular section of the beam. 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?
Length of Rectangular section given Section modulus is defined as the length of the longer side of the rectangular section of the beam 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 for a given cross-section used in the design of beams or flexural members & Breadth of Rectangular Section is the shortest length.
How to calculate Length of Rectangular Section given Section Modulus?
Length of Rectangular section given Section modulus is defined as the length of the longer side of the rectangular section of the beam 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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