Section Modulus for Hollow Rectangular Section 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%
✖The outer length of hollow rectangle is the longest side length of the hollow rectangle.ⓘ Outer Length of Hollow Rectangle [L_outer]			+10% -10%
✖Inner Breadth of Hollow Rectangular Section is the internal horizontal distance between the two vertical sides of the section.ⓘ Inner Breadth of Hollow Rectangular Section [B_inner]			+10% -10%
✖Inner Length of Hollow Rectangle is the distance measured along the inside of the longer side (length) of the hollow rectangular section.ⓘ Inner Length of Hollow Rectangle [L_inner]			+10% -10%

✖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 for Hollow Rectangular Section [Z]

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Section Modulus for Hollow Rectangular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Section Modulus = (Outer Breadth of Hollow Rectangular Section*Outer Length of Hollow Rectangle^3-Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3)/(6*Outer Length of Hollow Rectangle)
Z = (B_outer*L_outer^3-B_inner*L_inner^3)/(6*L_outer)
This formula uses 5 Variables

Variables Used

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.
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.
Inner Breadth of Hollow Rectangular Section - (Measured in Meter) - Inner Breadth of Hollow Rectangular Section is the internal horizontal distance between the two vertical sides of the section.
Inner Length of Hollow Rectangle - (Measured in Meter) - Inner Length of Hollow Rectangle is the distance measured along the inside of the longer side (length) of the hollow 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: 1100 Millimeter --> 1.1 Meter (Check conversion here)
Inner Breadth of Hollow Rectangular Section: 250 Millimeter --> 0.25 Meter (Check conversion here)
Inner Length of Hollow Rectangle: 600 Millimeter --> 0.6 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z = (B_outer*L_outer^3-B_inner*L_inner^3)/(6*L_outer) --> (0.48*1.1^3-0.25*0.6^3)/(6*1.1)

Evaluating ... ...

Z = 0.0886181818181819

STEP 3: Convert Result to Output's Unit

0.0886181818181819 Cubic Meter -->88618181.8181819 Cubic Millimeter (Check conversion here)

FINAL ANSWER

88618181.8181819 ≈ 8.9E+7 Cubic Millimeter <-- Section Modulus

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Bending Stress In Beam » Section Modulus for Various Beams or Shape Sections » Mechanical » Hollow Rectangular Section » Section Modulus for Hollow Rectangular Section

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< Hollow Rectangular Section Calculators

Outer Breadth of Hollow Rectangular Section given Section Modulus

LaTeX Go Outer Breadth of Hollow Rectangular Section = (6*Section Modulus*Outer Length of Hollow Rectangle+Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3)/(Outer Length of Hollow Rectangle^3)

Section Modulus for Hollow Rectangular Section

LaTeX Go Section Modulus = (Outer Breadth of Hollow Rectangular Section*Outer Length of Hollow Rectangle^3-Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3)/(6*Outer Length of Hollow Rectangle)

Distance of Outermost Layer from Neutral Axis for Hollow Rectangular Sections

LaTeX Go Distance b/w Outermost and Neutral Layer = Outer Length of Hollow Rectangle/2

Outer Length of Hollow Rectangular Section

LaTeX Go Outer Length of Hollow Rectangle = 2*Distance b/w Outermost and Neutral Layer

Section Modulus for Hollow Rectangular Section 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 Section Modulus for Hollow Rectangular Section?

Section Modulus for Hollow Rectangular Section calculator uses Section Modulus = (Outer Breadth of Hollow Rectangular Section*Outer Length of Hollow Rectangle^3-Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3)/(6*Outer Length of Hollow Rectangle) to calculate the Section Modulus, The Section Modulus for Hollow Rectangular Section formula is defined as a geometric property that helps in determining the bending stress in a beam, providing a measure of the beam's ability to resist bending due to external loads, and is an essential parameter in the design of beams and other structural elements. Section Modulus is denoted by Z symbol.

How to calculate Section Modulus for Hollow Rectangular Section using this online calculator? To use this online calculator for Section Modulus for Hollow Rectangular Section, enter Outer Breadth of Hollow Rectangular Section (B_outer), Outer Length of Hollow Rectangle (L_outer), Inner Breadth of Hollow Rectangular Section (B_inner) & Inner Length of Hollow Rectangle (L_inner) and hit the calculate button. Here is how the Section Modulus for Hollow Rectangular Section calculation can be explained with given input values -> 8.9E+16 = (0.48*1.1^3-0.25*0.6^3)/(6*1.1).

FAQ

What is Section Modulus for Hollow Rectangular Section?

The Section Modulus for Hollow Rectangular Section formula is defined as a geometric property that helps in determining the bending stress in a beam, providing a measure of the beam's ability to resist bending due to external loads, and is an essential parameter in the design of beams and other structural elements and is represented as Z = (B_outer*L_outer^3-B_inner*L_inner^3)/(6*L_outer) or Section Modulus = (Outer Breadth of Hollow Rectangular Section*Outer Length of Hollow Rectangle^3-Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3)/(6*Outer Length of Hollow Rectangle). 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, Inner Breadth of Hollow Rectangular Section is the internal horizontal distance between the two vertical sides of the section & Inner Length of Hollow Rectangle is the distance measured along the inside of the longer side (length) of the hollow rectangular section.

How to calculate Section Modulus for Hollow Rectangular Section?

The Section Modulus for Hollow Rectangular Section formula is defined as a geometric property that helps in determining the bending stress in a beam, providing a measure of the beam's ability to resist bending due to external loads, and is an essential parameter in the design of beams and other structural elements is calculated using Section Modulus = (Outer Breadth of Hollow Rectangular Section*Outer Length of Hollow Rectangle^3-Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3)/(6*Outer Length of Hollow Rectangle). To calculate Section Modulus for Hollow Rectangular Section, you need Outer Breadth of Hollow Rectangular Section (B_outer), Outer Length of Hollow Rectangle (L_outer), Inner Breadth of Hollow Rectangular Section (B_inner) & Inner Length of Hollow Rectangle (L_inner). With our tool, you need to enter the respective value for Outer Breadth of Hollow Rectangular Section, Outer Length of Hollow Rectangle, Inner Breadth of Hollow Rectangular Section & Inner Length of Hollow Rectangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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