Internal Length of Hollow Rectangular Section given Section Modulus about x-x 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 given Section Modulus about x-x axis [L_inner]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

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)
L_inner = (((B_outer*(L_outer^3))-(6*L_outer*S))/(B_inner))^(1/3)
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*(L_outer^3))-(6*L_outer*S))/(B_inner))^(1/3) --> (((0.48*(0.1160211^3))-(6*0.1160211*0.0012))/(0.25))^(1/3)

Evaluating ... ...

L_inner = -0.0699899083475356

STEP 3: Convert Result to Output's Unit

-0.0699899083475356 Meter -->-69.9899083475356 Millimeter (Check conversion here)

FINAL ANSWER

-69.9899083475356 ≈ -69.989908 Millimeter <-- Inner Length of Hollow Rectangle

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Direct And Bending Stress » Mechanical » Kernel of Hollow Rectangular Section » Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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 given Section Modulus about x-x axis Formula

LaTeX Go

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 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 the inner length of a hollow rectangular section, which is essential in calculating the stress and strain on the section, particularly in direct and bending stress analysis. Inner Length of Hollow Rectangle is denoted by L_inner 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 (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 given Section Modulus about x-x axis calculation can be explained with given input values -> 1.4E+6 = (((0.48*(0.1160211^3))-(6*0.1160211*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 the inner length of a hollow rectangular section, which is essential in calculating the stress and strain on the section, particularly in direct and bending stress analysis and is represented as L_inner = (((B_outer*(L_outer^3))-(6*L_outer*S))/(B_inner))^(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, 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 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 the inner length of a hollow rectangular section, which is essential in calculating the stress and strain on the section, particularly in direct and bending stress analysis 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 (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^3)*(Outer Length of Hollow Rectangle))-(6*Section Modulus*Outer Breadth of Hollow Rectangular Section))/(Inner Breadth of Hollow Rectangular Section^3)

Home

FREE PDFs

🔍 Search