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Section Modulus for Hollow Rectangular Section Formula

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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. Check FAQs

Z = \frac{B outer \cdot {L outer}^{3} - B inner \cdot {L inner}^{3}}{6 \cdot L outer}

Z - Section Modulus?B_outer - Outer Breadth of Hollow Rectangular Section?L_outer - Outer Length of Hollow Rectangle?B_inner - Inner Breadth of Hollow Rectangular Section?L_inner - Inner Length of Hollow Rectangle?

Section Modulus for Hollow Rectangular Section Example

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Here is how the Section Modulus for Hollow Rectangular Section equation looks like with Values.

Here is how the Section Modulus for Hollow Rectangular Section equation looks like with Units.

Here is how the Section Modulus for Hollow Rectangular Section equation looks like.

8.9E+7 = \frac{480 \cdot 1100^{3} - 250 \cdot 600^{3}}{6 \cdot 1100}

8.9E+7mm³ = \frac{480mm \cdot {1100mm}^{3} - 250mm \cdot {600mm}^{3}}{6 \cdot 1100mm}

8.9E+7 = \frac{480 \cdot 1100^{3} - 250 \cdot 600^{3}}{6 \cdot 1100}

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Section Modulus for Hollow Rectangular Section Solution

Follow our step by step solution on how to calculate Section Modulus for Hollow Rectangular Section?

FIRST Step Consider the formula

Z = \frac{B outer \cdot {L outer}^{3} - B inner \cdot {L inner}^{3}}{6 \cdot L outer}

Next Step Substitute values of Variables

∴

Z = \frac{480mm \cdot {1100mm}^{3} - 250mm \cdot {600mm}^{3}}{6 \cdot 1100mm}

Next Step Convert Units

∴

Z = \frac{0.48m \cdot {1.1m}^{3} - 0.25m \cdot {0.6m}^{3}}{6 \cdot 1.1m}

Next Step Prepare to Evaluate

∴

Z = \frac{0.48 \cdot {1.1}^{3} - 0.25 \cdot {0.6}^{3}}{6 \cdot 1.1}

Next Step Evaluate

∴

Z = 0.0886181818181819m³

Next Step Convert to Output's Unit

∴

Z = 88618181.8181819mm³

LAST Step Rounding Answer

∴

Z = 8.9E+7mm³

Section Modulus for Hollow Rectangular Section Formula Elements

Variables

Section Modulus

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.

Symbol: Z

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus

Outer Breadth of Hollow Rectangular Section

Outer Breadth of Hollow Rectangular Section is the shorter side of the outside rectangle in a hollow rectangular section.

Symbol: B_outer

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Breadth of Hollow Rectangular Section

Outer Length of Hollow Rectangle

The outer length of hollow rectangle is the longest side length of the hollow rectangle.

Symbol: L_outer

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Length of Hollow Rectangle

Inner Breadth of Hollow Rectangular Section

Inner Breadth of Hollow Rectangular Section is the internal horizontal distance between the two vertical sides of the section.

Symbol: B_inner

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Breadth of Hollow Rectangular Section

Inner Length of Hollow Rectangle

Inner Length of Hollow Rectangle is the distance measured along the inside of the longer side (length) of the hollow rectangular section.

Symbol: L_inner

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Length of Hollow Rectangle

Other formulas in Hollow Rectangular Section category

Go Outer Length of Hollow Rectangular Section

L outer = 2 \cdot Y max

Go Outer Breadth of Hollow Rectangular Section given Section Modulus

B outer = \frac{6 \cdot Z \cdot L outer + B inner \cdot {L inner}^{3}}{{L outer}^{3}}

Go Distance of Outermost Layer from Neutral Axis for Hollow Rectangular Sections

Y max = \frac{L outer}{2}

Go Moment of Inertia for Hollow Rectangular Section

I circular = \frac{B outer \cdot {L outer}^{3} - B inner \cdot {L inner}^{3}}{12}

How to Evaluate Section Modulus for Hollow Rectangular Section?

Section Modulus for Hollow Rectangular Section evaluator 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 evaluate 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 evaluate Section Modulus for Hollow Rectangular Section using this online evaluator? To use this online evaluator 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.

FAQs on Section Modulus for Hollow Rectangular Section

What is the formula to find Section Modulus for Hollow Rectangular Section?

The formula of Section Modulus for Hollow Rectangular Section is expressed as 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). Here is an example- 8.9E+16 = (0.48*1.1^3-0.25*0.6^3)/(6*1.1).

How to calculate Section Modulus for Hollow Rectangular Section?

With 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) we can find Section Modulus for Hollow Rectangular Section using the formula - 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).

Can the Section Modulus for Hollow Rectangular Section be negative?

No, the Section Modulus for Hollow Rectangular Section, measured in Volume cannot be negative.

Which unit is used to measure Section Modulus for Hollow Rectangular Section?

Section Modulus for Hollow Rectangular Section is usually measured using the Cubic Millimeter[mm³] for Volume. Cubic Meter[mm³], Cubic Centimeter[mm³], Liter[mm³] are the few other units in which Section Modulus for Hollow Rectangular Section can be measured.

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Section Modulus for Hollow Rectangular Section Formula

Section Modulus for Hollow Rectangular Section Example

Section Modulus for Hollow Rectangular Section Solution

Section Modulus for Hollow Rectangular Section Formula Elements

Other formulas in Hollow Rectangular Section category

How to Evaluate Section Modulus for Hollow Rectangular Section?

FAQs on Section Modulus for Hollow Rectangular Section

Variable Name