Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inner Length of Hollow Rectangle = (((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-(6*Outer Length of Hollow Rectangle*Section Modulus))/(Inner Breadth of Hollow Rectangular Section))^(1/3)
Linner = (((Bouter*(Louter^3))-(6*Louter*S))/(Binner))^(1/3)
This formula uses 5 Variables
Variables Used
Inner Length of Hollow Rectangle - (Measured in Meter) - Inner length of hollow rectangle is the shorter length of rectangle.
Outer Breadth of Hollow Rectangular Section - (Measured in Meter) - Outer Breadth of Hollow Rectangular Section is the shorter side of the outside rectangle in a hollow rectangular section.
Outer Length of Hollow Rectangle - (Measured in Meter) - The outer length of hollow rectangle is the longest side length of the hollow 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.
Inner Breadth of Hollow Rectangular Section - (Measured in Meter) - Inner Breadth of Hollow Rectangular Section is the shorter breadth of the rectangle.
STEP 1: Convert Input(s) to Base Unit
Outer Breadth of Hollow Rectangular Section: 480 Millimeter --> 0.48 Meter (Check conversion here)
Outer Length of Hollow Rectangle: 1100 Millimeter --> 1.1 Meter (Check conversion here)
Section Modulus: 1200000 Cubic Millimeter --> 0.0012 Cubic Meter (Check conversion here)
Inner Breadth of Hollow Rectangular Section: 250 Millimeter --> 0.25 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Linner = (((Bouter*(Louter^3))-(6*Louter*S))/(Binner))^(1/3) --> (((0.48*(1.1^3))-(6*1.1*0.0012))/(0.25))^(1/3)
Evaluating ... ...
Linner = 1.36150928175494
STEP 3: Convert Result to Output's Unit
1.36150928175494 Meter -->1361.50928175494 Millimeter (Check conversion here)
FINAL ANSWER
1361.50928175494 1361.509 Millimeter <-- Inner Length of Hollow Rectangle
(Calculation completed in 00.004 seconds)

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13 Kernel Of Hollow Rectangular Section Calculators

Maximum eccentricity of load about y axis for hollow rectangular section
Go Eccentricity of load about y-y axis = (((Outer Breadth of Hollow Rectangular Section^3)*(Outer Length of Hollow Rectangle))-((Inner Length of Hollow Rectangle)*(Inner Breadth of Hollow Rectangular Section^3)))/(6*Outer Breadth of Hollow Rectangular Section*(((Outer Breadth of Hollow Rectangular Section)*(Outer Length of Hollow Rectangle))-((Inner Length of Hollow Rectangle)*(Inner Breadth of Hollow Rectangular Section))))
Maximum eccentricity of load about x axis for hollow rectangular section
Go Eccentricity of load about x-x axis = ((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-((Inner Length of Hollow Rectangle^3)*Inner Breadth of Hollow Rectangular Section))/(6*Outer Length of Hollow Rectangle*((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle))-((Inner Length of Hollow Rectangle)*Inner Breadth of Hollow Rectangular Section)))
Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section
Go Section Modulus = (((Outer Breadth of Hollow Rectangular Section^3)*(Outer Length of Hollow Rectangle))-((Inner Length of Hollow Rectangle)*(Inner Breadth of Hollow Rectangular Section^3)))/(6*Outer Breadth of Hollow Rectangular Section)
Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis
Go Inner Length of Hollow Rectangle = (((Outer Breadth of Hollow Rectangular Section^3)*(Outer Length of Hollow Rectangle))-(6*Section Modulus*Outer Breadth of Hollow Rectangular Section))/(Inner Breadth of Hollow Rectangular Section^3)
External Length of hollow Rectangular Section using Section Modulus about y-y axis
Go Outer Length of Hollow Rectangle = ((6*Section Modulus*Outer Breadth of Hollow Rectangular Section)+((Inner Length of Hollow Rectangle)*(Inner Breadth of Hollow Rectangular Section^3)))/(Outer Breadth of Hollow Rectangular Section^3)
Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis
Go Inner Length of Hollow Rectangle = (((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-(6*Outer Length of Hollow Rectangle*Section Modulus))/(Inner Breadth of Hollow Rectangular Section))^(1/3)
Section modulus about x-x axis for hollow rectangular section in terms length and width of section
Go Section Modulus = ((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-((Inner Length of Hollow Rectangle^3)*Inner Breadth of Hollow Rectangular Section))/(6*Outer Length of Hollow Rectangle)
Internal Width of Hollow Rectangular Section given Section Modulus about x-x axis
Go Inner Breadth of Hollow Rectangular Section = (((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-(6*Outer Length of Hollow Rectangle*Section Modulus))/(Inner Length of Hollow Rectangle^3))
External Width of Hollow Rectangular Section given Section Modulus about x-x axis
Go Outer Breadth of Hollow Rectangular Section = (6*Outer Length of Hollow Rectangle*Section Modulus)+(Inner Breadth of Hollow Rectangular Section*(Inner Length of Hollow Rectangle^3))/(Outer Length of Hollow Rectangle^3)
Moment of Inertia about xx axis for Hollow Rectangular Section
Go Moment of Inertia about x-x axis = (Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3)/12)-((Inner Length of Hollow Rectangle^3)*Inner Breadth of Hollow Rectangular Section/12)
Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia
Go Section Modulus = Moment of Inertia about y-y axis/Distance b/w Outermost and Neutral Layer
Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia
Go Section Modulus = Moment of Inertia about x-x axis/Distance b/w Outermost and Neutral Layer
Distance of outermost layer from neutral axis for hollow rectangular section
Go Distance b/w Outermost and Neutral Layer = Outer Length of Hollow Rectangle/2

Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis Formula

Inner Length of Hollow Rectangle = (((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-(6*Outer Length of Hollow Rectangle*Section Modulus))/(Inner Breadth of Hollow Rectangular Section))^(1/3)
Linner = (((Bouter*(Louter^3))-(6*Louter*S))/(Binner))^(1/3)

Is bending stress a normal stress?

Bending stress is a more specific type of normal stress. The stress at the horizontal plane of the neutral is zero. The bottom fibers of the beam undergo a normal tensile stress. It can be concluded therefore that the value of the bending stress will vary linearly with distance from the neutral axis.

How to Calculate Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis?

Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis calculator uses Inner Length of Hollow Rectangle = (((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-(6*Outer Length of Hollow Rectangle*Section Modulus))/(Inner Breadth of Hollow Rectangular Section))^(1/3) to calculate the Inner Length of Hollow Rectangle, The Internal length of hollow rectangular section given section modulus about x-x axis formula is defined as a measure of distance. Inner Length of Hollow Rectangle is denoted by Linner symbol.

How to calculate Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis using this online calculator? To use this online calculator for Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis, enter Outer Breadth of Hollow Rectangular Section (Bouter), Outer Length of Hollow Rectangle (Louter), Section Modulus (S) & Inner Breadth of Hollow Rectangular Section (Binner) and hit the calculate button. Here is how the Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis calculation can be explained with given input values -> 1.4E+6 = (((0.48*(1.1^3))-(6*1.1*0.0012))/(0.25))^(1/3).

FAQ

What is Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis?
The Internal length of hollow rectangular section given section modulus about x-x axis formula is defined as a measure of distance and is represented as Linner = (((Bouter*(Louter^3))-(6*Louter*S))/(Binner))^(1/3) or Inner Length of Hollow Rectangle = (((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-(6*Outer Length of Hollow Rectangle*Section Modulus))/(Inner Breadth of Hollow Rectangular Section))^(1/3). Outer Breadth of Hollow Rectangular Section is the shorter side of the outside rectangle in a hollow rectangular section, The outer length of hollow rectangle is the longest side length of the hollow rectangle, Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members & Inner Breadth of Hollow Rectangular Section is the shorter breadth of the rectangle.
How to calculate Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis?
The Internal length of hollow rectangular section given section modulus about x-x axis formula is defined as a measure of distance is calculated using Inner Length of Hollow Rectangle = (((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-(6*Outer Length of Hollow Rectangle*Section Modulus))/(Inner Breadth of Hollow Rectangular Section))^(1/3). To calculate Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis, you need Outer Breadth of Hollow Rectangular Section (Bouter), Outer Length of Hollow Rectangle (Louter), Section Modulus (S) & Inner Breadth of Hollow Rectangular Section (Binner). With our tool, you need to enter the respective value for Outer Breadth of Hollow Rectangular Section, Outer Length of Hollow Rectangle, Section Modulus & Inner Breadth of Hollow 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 Inner Length of Hollow Rectangle?
In this formula, Inner Length of Hollow Rectangle uses Outer Breadth of Hollow Rectangular Section, Outer Length of Hollow Rectangle, Section Modulus & Inner Breadth of Hollow Rectangular Section. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Inner Length of Hollow Rectangle = (((Outer Breadth of Hollow Rectangular Section^3)*(Outer Length of Hollow Rectangle))-(6*Section Modulus*Outer Breadth of Hollow Rectangular Section))/(Inner Breadth of Hollow Rectangular Section^3)
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