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Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis Formula

GoInternal Length of Hollow Rectangular Section using Section Modulus about y-y axis Formula

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

L inner = {(\frac{(B outer \cdot ({L outer}^{3})) - (6 \cdot L outer \cdot S)}{B inner})}^{\frac{1}{3}}

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

Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis Example

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Here is how the Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis equation looks like with Values.

Here is how the Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis equation looks like with Units.

Here is how the Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis equation looks like.

-69.9899 = {(\frac{(480 \cdot ({116.0211}^{3})) - (6 \cdot 116.0211 \cdot 1.2E+6)}{250})}^{\frac{1}{3}}

-69.9899mm = {(\frac{(480mm \cdot ({116.0211mm}^{3})) - (6 \cdot 116.0211mm \cdot 1.2E+6mm³)}{250mm})}^{\frac{1}{3}}

-69.9899 = {(\frac{(480 \cdot ({116.0211}^{3})) - (6 \cdot 116.0211 \cdot 1.2E+6)}{250})}^{\frac{1}{3}}

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Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis Solution

Follow our step by step solution on how to calculate Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis?

FIRST Step Consider the formula

L inner = {(\frac{(B outer \cdot ({L outer}^{3})) - (6 \cdot L outer \cdot S)}{B inner})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

L inner = {(\frac{(480mm \cdot ({116.0211mm}^{3})) - (6 \cdot 116.0211mm \cdot 1.2E+6mm³)}{250mm})}^{\frac{1}{3}}

Next Step Convert Units

∴

L inner = {(\frac{(0.48m \cdot ({0.116m}^{3})) - (6 \cdot 0.116m \cdot 0.0012m³)}{0.25m})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

L inner = {(\frac{(0.48 \cdot ({0.116}^{3})) - (6 \cdot 0.116 \cdot 0.0012)}{0.25})}^{\frac{1}{3}}

Next Step Evaluate

∴

L inner = -0.0699899083475356m

Next Step Convert to Output's Unit

∴

L inner = -69.9899083475356mm

LAST Step Rounding Answer

∴

L inner = -69.9899mm

Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis Formula Elements

Variables

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

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

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

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 Inner Length of Hollow Rectangle

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}}

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 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}}

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 Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis?

Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis evaluator uses Inner Length of Hollow Rectangle = (((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-(6*Outer Length of Hollow Rectangle*Section Modulus))/(Inner Breadth of Hollow Rectangular Section))^(1/3) to evaluate the Inner Length of Hollow Rectangle, The Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis formula is defined as a measure of the inner length of a hollow rectangular section, which is essential in calculating the stress and strain on the section, particularly in direct and bending stress analysis. Inner Length of Hollow Rectangle is denoted by L_inner symbol.

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

FAQs on Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis

What is the formula to find Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis?

The formula of Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis is expressed as Inner Length of Hollow Rectangle = (((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-(6*Outer Length of Hollow Rectangle*Section Modulus))/(Inner Breadth of Hollow Rectangular Section))^(1/3). Here is an example- 1.4E+6 = (((0.48*(0.1160211^3))-(6*0.1160211*0.0012))/(0.25))^(1/3).

How to calculate Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis?

With Outer Breadth of Hollow Rectangular Section (B_outer), Outer Length of Hollow Rectangle (L_outer), Section Modulus (S) & Inner Breadth of Hollow Rectangular Section (B_inner) we can find Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis using the formula - Inner Length of Hollow Rectangle = (((Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3))-(6*Outer Length of Hollow Rectangle*Section Modulus))/(Inner Breadth of Hollow Rectangular Section))^(1/3).

What are the other ways to Calculate Inner Length of Hollow Rectangle?

Here are the different ways to Calculate Inner Length of Hollow Rectangle-

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

Can the Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis be negative?

No, the Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis, measured in Length cannot be negative.

Which unit is used to measure Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis?

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

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Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis Formula

​GoInternal Length of Hollow Rectangular Section using Section Modulus about y-y axis Formula

Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis Example

Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis Solution

Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis Formula Elements

Other Formulas to find Inner Length of Hollow Rectangle

Other formulas in Kernel of Hollow Rectangular Section category

How to Evaluate Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis?

FAQs on Internal Length of Hollow Rectangular Section given Section Modulus about x-x axis

Variable Name

GoInternal Length of Hollow Rectangular Section using Section Modulus about y-y axis Formula