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

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Outer Length of Hollow Rectangle is the longest side length of the hollow rectangle. Check FAQs

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

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

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

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Here is how the External Length of hollow Rectangular Section using Section Modulus about y-y axis equation looks like with Values.

Here is how the External Length of hollow Rectangular Section using Section Modulus about y-y axis equation looks like with Units.

Here is how the External Length of hollow Rectangular Section using Section Modulus about y-y axis equation looks like.

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

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

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

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

Follow our step by step solution on how to calculate External Length of hollow Rectangular Section using Section Modulus about y-y axis?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

L outer = \frac{(6 \cdot 0.0012m³ \cdot 0.48m) + ((0.6m) \cdot ({0.25m}^{3}))}{{0.48m}^{3}}

Next Step Prepare to Evaluate

∴

L outer = \frac{(6 \cdot 0.0012 \cdot 0.48) + ((0.6) \cdot ({0.25}^{3}))}{{0.48}^{3}}

Next Step Evaluate

∴

L outer = 0.116021050347222m

Next Step Convert to Output's Unit

∴

L outer = 116.021050347222mm

LAST Step Rounding Answer

∴

L outer = 116.0211mm

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

Variables

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

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

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

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

How to Evaluate External Length of hollow Rectangular Section using Section Modulus about y-y axis?

External Length of hollow Rectangular Section using Section Modulus about y-y axis evaluator uses 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) to evaluate the Outer Length of Hollow Rectangle, The External Length of hollow Rectangular Section using Section Modulus about y-y axis formula is defined as a measure of the outer length of a hollow rectangular section, which is a critical parameter in calculating direct and bending stresses in structural analysis, providing valuable insights into the section's strength and stability. Outer Length of Hollow Rectangle is denoted by L_outer symbol.

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

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

What is the formula to find External Length of hollow Rectangular Section using Section Modulus about y-y axis?

The formula of External Length of hollow Rectangular Section using Section Modulus about y-y axis is expressed as 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). Here is an example- 116021.1 = ((6*0.0012*0.48)+((0.6)*(0.25^3)))/(0.48^3).

How to calculate External Length of hollow Rectangular Section using Section Modulus about y-y axis?

With Section Modulus (S), Outer Breadth of Hollow Rectangular Section (B_outer), Inner Length of Hollow Rectangle (L_inner) & Inner Breadth of Hollow Rectangular Section (B_inner) we can find External Length of hollow Rectangular Section using Section Modulus about y-y axis using the formula - 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).

Can the External Length of hollow Rectangular Section using Section Modulus about y-y axis be negative?

No, the External Length of hollow Rectangular Section using Section Modulus about y-y axis, measured in Length cannot be negative.

Which unit is used to measure External Length of hollow Rectangular Section using Section Modulus about y-y axis?

External Length of hollow Rectangular Section using Section Modulus about y-y axis is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which External Length of hollow Rectangular Section using Section Modulus about y-y axis can be measured.

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

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

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

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

Other formulas in Kernel of Hollow Rectangular Section category

How to Evaluate External Length of hollow Rectangular Section using Section Modulus about y-y axis?

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

Variable Name