Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis Calculator

✖Outer Breadth of Hollow Rectangular Section is the shorter side of the outside rectangle in a hollow rectangular section.ⓘ Outer Breadth of Hollow Rectangular Section [B_outer]			+10% -10%
✖Outer Length of Hollow Rectangle is the longest side length of the hollow rectangle.ⓘ Outer Length of Hollow Rectangle [L_outer]			+10% -10%
✖Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.ⓘ Section Modulus [S]			+10% -10%
✖Inner Breadth of Hollow Rectangular Section is the shorter breadth of the rectangular section.ⓘ Inner Breadth of Hollow Rectangular Section [B_inner]			+10% -10%

✖Inner Length of Hollow Rectangle is the distance along the inside length of a rectangular section that has a hollowed-out interior.ⓘ Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis [L_inner]

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Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
L_inner = (((B_outer^3)*(L_outer))-(6*S*B_outer))/(B_inner^3)
This formula uses 5 Variables

Variables Used

Inner Length of Hollow Rectangle - (Measured in Meter) - Inner Length of Hollow Rectangle is the distance along the inside length of a rectangular section that has a hollowed-out interior.
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) - 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 rectangular section.

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: 116.0211 Millimeter --> 0.1160211 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

L_inner = (((B_outer^3)*(L_outer))-(6*S*B_outer))/(B_inner^3) --> (((0.48^3)*(0.1160211))-(6*0.0012*0.48))/(0.25^3)

Evaluating ... ...

L_inner = 0.6000003514368

STEP 3: Convert Result to Output's Unit

0.6000003514368 Meter -->600.0003514368 Millimeter (Check conversion here)

FINAL ANSWER

600.0003514368 ≈ 600.0004 Millimeter <-- Inner Length of Hollow Rectangle

(Calculation completed in 00.004 seconds)

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< Kernel of Hollow Rectangular Section Calculators

Maximum Eccentricity of Load about Y Axis for Hollow Rectangular Section

LaTeX 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

LaTeX 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)))

Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis

LaTeX 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

LaTeX 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 using Section Modulus about y-y axis Formula

LaTeX Go

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 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 using Section Modulus about y-y axis?

Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis calculator uses 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) to calculate the Inner Length of Hollow Rectangle, The Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis formula is defined as a measure of the distance from the neutral axis to the most distant fiber in a hollow rectangular section, which is essential in calculating the bending stress and deflection of a beam under load. Inner Length of Hollow Rectangle is denoted by L_inner symbol.

How to calculate Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis using this online calculator? To use this online calculator for Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis, enter Outer Breadth of Hollow Rectangular Section (B_outer), Outer Length of Hollow Rectangle (L_outer), Section Modulus (S) & Inner Breadth of Hollow Rectangular Section (B_inner) and hit the calculate button. Here is how the Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis calculation can be explained with given input values -> 7.6E+6 = (((0.48^3)*(0.1160211))-(6*0.0012*0.48))/(0.25^3).

FAQ

What is Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis?

The Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis formula is defined as a measure of the distance from the neutral axis to the most distant fiber in a hollow rectangular section, which is essential in calculating the bending stress and deflection of a beam under load and is represented as L_inner = (((B_outer^3)*(L_outer))-(6*S*B_outer))/(B_inner^3) or 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). Outer Breadth of Hollow Rectangular Section is the shorter side of the outside rectangle in a hollow rectangular section, 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 rectangular section.

How to calculate Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis?

The Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis formula is defined as a measure of the distance from the neutral axis to the most distant fiber in a hollow rectangular section, which is essential in calculating the bending stress and deflection of a beam under load is calculated using 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). To calculate Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis, you need Outer Breadth of Hollow Rectangular Section (B_outer), Outer Length of Hollow Rectangle (L_outer), Section Modulus (S) & Inner Breadth of Hollow Rectangular Section (B_inner). 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*(Outer Length of Hollow Rectangle^3))-(6*Outer Length of Hollow Rectangle*Section Modulus))/(Inner Breadth of Hollow Rectangular Section))^(1/3)

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