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Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section Formula

GoSection Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia Formula

GoSection Modulus about x-x Axis for Hollow Rectangular Section in terms Length and Width of Section Formula

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Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members. Check FAQs

S = \frac{(({B outer}^{3}) \cdot (L outer)) - ((L inner) \cdot ({B inner}^{3}))}{6 \cdot B outer}

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

Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section Example

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Here is how the Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section equation looks like with Values.

Here is how the Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section equation looks like with Units.

Here is how the Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section equation looks like.

1.2E+6 = \frac{((480^{3}) \cdot (116.0211)) - ((600) \cdot (250^{3}))}{6 \cdot 480}

1.2E+6mm³ = \frac{(({480mm}^{3}) \cdot (116.0211mm)) - ((600mm) \cdot ({250mm}^{3}))}{6 \cdot 480mm}

1.2E+6 = \frac{((480^{3}) \cdot (116.0211)) - ((600) \cdot (250^{3}))}{6 \cdot 480}

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Strength of Materials » fx Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section

Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section Solution

Follow our step by step solution on how to calculate Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section?

FIRST Step Consider the formula

S = \frac{(({B outer}^{3}) \cdot (L outer)) - ((L inner) \cdot ({B inner}^{3}))}{6 \cdot B outer}

Next Step Substitute values of Variables

∴

S = \frac{(({480mm}^{3}) \cdot (116.0211mm)) - ((600mm) \cdot ({250mm}^{3}))}{6 \cdot 480mm}

Next Step Convert Units

∴

S = \frac{(({0.48m}^{3}) \cdot (0.116m)) - ((0.6m) \cdot ({0.25m}^{3}))}{6 \cdot 0.48m}

Next Step Prepare to Evaluate

∴

S = \frac{(({0.48}^{3}) \cdot (0.116)) - ((0.6) \cdot ({0.25}^{3}))}{6 \cdot 0.48}

Next Step Evaluate

∴

S = 0.00120000190666667m³

Next Step Convert to Output's Unit

∴

S = 1200001.90666667mm³

LAST Step Rounding Answer

∴

S = 1.2E+6mm³

Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section Formula Elements

Variables

Section Modulus

Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.

Symbol: S

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

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 Length of Hollow Rectangle

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

Symbol: L_inner

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Length of Hollow Rectangle

Inner Breadth of Hollow Rectangular Section

Inner Breadth of Hollow Rectangular Section is the shorter breadth of the rectangular section.

Symbol: B_inner

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Breadth of Hollow Rectangular Section

Other Formulas to find Section Modulus

Go Section Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia

S = \frac{I yy}{Y max}

Go Section Modulus about x-x Axis for Hollow Rectangular Section in terms Length and Width of Section

S = \frac{(B outer \cdot ({L outer}^{3})) - (({L inner}^{3}) \cdot B inner)}{6 \cdot L outer}

Go Section Modulus about x-x axis for Hollow Rectangular Section given Moment of Inertia

S = \frac{I xx}{Y max}

Other formulas in Kernel of Hollow Rectangular Section category

Go Maximum Eccentricity of Load about Y Axis for Hollow Rectangular Section

e yy = \frac{(({B outer}^{3}) \cdot (L outer)) - ((L inner) \cdot ({B inner}^{3}))}{6 \cdot B outer \cdot (((B outer) \cdot (L outer)) - ((L inner) \cdot (B inner)))}

Go Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section

e xx = \frac{(B outer \cdot ({L outer}^{3})) - (({L inner}^{3}) \cdot B inner)}{6 \cdot L outer \cdot ((B outer \cdot (L outer)) - ((L inner) \cdot B inner))}

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

L inner = \frac{(({B outer}^{3}) \cdot (L outer)) - (6 \cdot S \cdot B outer)}{{B inner}^{3}}

Go External Length of hollow Rectangular Section using Section Modulus about y-y axis

L outer = \frac{(6 \cdot S \cdot B outer) + ((L inner) \cdot ({B inner}^{3}))}{{B outer}^{3}}

How to Evaluate Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section?

Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section evaluator uses Section Modulus = (((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) to evaluate the Section Modulus, The Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section formula is defined as a geometric property that characterizes the resistance of a hollow rectangular section to bending and is used to calculate the stress and strain in beams and columns under various types of loads. Section Modulus is denoted by S symbol.

How to evaluate Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section using this online evaluator? To use this online evaluator for Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section, enter Outer Breadth of Hollow Rectangular Section (B_outer), Outer Length of Hollow Rectangle (L_outer), Inner Length of Hollow Rectangle (L_inner) & Inner Breadth of Hollow Rectangular Section (B_inner) and hit the calculate button.

FAQs on Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section

What is the formula to find Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section?

The formula of Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section is expressed as Section Modulus = (((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). Here is an example- 3.9E+16 = (((0.48^3)*(0.1160211))-((0.6)*(0.25^3)))/(6*0.48).

How to calculate Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section?

With Outer Breadth of Hollow Rectangular Section (B_outer), Outer Length of Hollow Rectangle (L_outer), Inner Length of Hollow Rectangle (L_inner) & Inner Breadth of Hollow Rectangular Section (B_inner) we can find Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section using the formula - Section Modulus = (((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).

What are the other ways to Calculate Section Modulus?

Here are the different ways to Calculate Section Modulus-

Section Modulus=Moment of Inertia about Y-Y Axis/Distance b/w Outermost and Neutral Layer
Section Modulus=((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)
Section Modulus=Moment of Inertia about X-X Axis/Distance b/w Outermost and Neutral Layer

Can the Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section be negative?

No, the Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section, measured in Volume cannot be negative.

Which unit is used to measure Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section?

Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of 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 about y-y axis for Hollow Rectangular Section given Dimension of Section can be measured.

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Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section Formula

​GoSection Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia Formula

​GoSection Modulus about x-x Axis for Hollow Rectangular Section in terms Length and Width of Section Formula

Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section Example

Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section Solution

Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section Formula Elements

Other Formulas to find Section Modulus

Other formulas in Kernel of Hollow Rectangular Section category

How to Evaluate Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section?

FAQs on Section Modulus about y-y axis for Hollow Rectangular Section given Dimension of Section

Variable Name

GoSection Modulus about y-y axis for Hollow Rectangular Section given Moment of Inertia Formula

GoSection Modulus about x-x Axis for Hollow Rectangular Section in terms Length and Width of Section Formula