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 shorter breadth of the rectangle.ⓘ Inner Breadth of Hollow Rectangular Section [B_inner]			+10% -10%
✖Inner length of hollow rectangle is the shorter length of rectangle.ⓘ Inner Length of Hollow Rectangle [L_inner]			+10% -10%

✖Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.ⓘ Section Modulus for Hollow Rectangular Section [Z]

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Formula

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Section Modulus for Hollow Rectangular Section

Formula

`"Z" = ("B"_{"outer"}*"L"_{"outer"}^3-"B"_{"inner"}*"L"_{"inner"}^3)/(6*"L"_{"outer"})`

Example

`"8.9E^7mm³"=("480mm"*("1100mm")^3-"250mm"*("600mm")^3)/(6*"1100mm")`

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Download Section Modulus for Various Beams or Shape Sections Formulas PDF

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 for a given cross-section used in the design of beams or flexural members.
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 shorter breadth of the rectangle.
Inner Length of Hollow Rectangle - (Measured in Meter) - Inner length of hollow rectangle is the shorter length of 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)
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 » Hollow Rectangular Section » Section Modulus for Hollow Rectangular Section

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National Institute Of Technology (NIT), Hamirpur

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< 5 Hollow Rectangular Section Calculators

Outer Breadth of Hollow Rectangular Section given Section Modulus

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

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)

Moment of Inertia for Hollow Rectangular Section

Go MOI of Area of Circular Section = (Outer Breadth of Hollow Rectangular Section*Outer Length of Hollow Rectangle^3-Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3)/12

Distance of Outermost Layer from Neutral Axis for Hollow Rectangular Sections

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

Outer Length of Hollow Rectangular Section

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

Section Modulus for Hollow Rectangular Section Formula

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 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, Section modulus for Hollow Rectangular section is defined as a geometric property for a given cross-section used in the design of beams or flexural members. 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?

Section modulus for Hollow Rectangular section is defined as a geometric property for a given cross-section used in the design of beams or flexural members 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 shorter breadth of the rectangle & Inner length of hollow rectangle is the shorter length of rectangle.

How to calculate Section Modulus for Hollow Rectangular Section?

Section modulus for Hollow Rectangular section is defined as a geometric property for a given cross-section used in the design of beams or flexural members 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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