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Inner Depth of Hollow Rectangular Shape Formula

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Inner Depth of Hollow Rectangular Section is the interior Depth of rectangle in a hollow rectangular section. Check FAQs

D i = {(\frac{(6 \cdot Z \cdot D o) + (B o \cdot {D o}^{3})}{B i})}^{\frac{1}{3}}

D_i - Inner Depth of Hollow Rectangular Section?Z - Section Modulus?D_o - Outer Depth of Hollow Rectangular Section?B_o - Outer Breadth of Hollow Rectangular Section?B_i - Inner Breadth of Hollow Rectangular Section?

Inner Depth of Hollow Rectangular Shape Example

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Here is how the Inner Depth of Hollow Rectangular Shape equation looks like with Values.

Here is how the Inner Depth of Hollow Rectangular Shape equation looks like with Units.

Here is how the Inner Depth of Hollow Rectangular Shape equation looks like.

1497.9385 = {(\frac{(6 \cdot 0.0414 \cdot 1200) + (800 \cdot 1200^{3})}{500})}^{\frac{1}{3}}

1497.9385mm = {(\frac{(6 \cdot 0.0414m³ \cdot 1200mm) + (800mm \cdot {1200mm}^{3})}{500mm})}^{\frac{1}{3}}

1497.9385 = {(\frac{(6 \cdot 0.0414 \cdot 1200) + (800 \cdot 1200^{3})}{500})}^{\frac{1}{3}}

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Inner Depth of Hollow Rectangular Shape Solution

Follow our step by step solution on how to calculate Inner Depth of Hollow Rectangular Shape?

FIRST Step Consider the formula

D i = {(\frac{(6 \cdot Z \cdot D o) + (B o \cdot {D o}^{3})}{B i})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

D i = {(\frac{(6 \cdot 0.0414m³ \cdot 1200mm) + (800mm \cdot {1200mm}^{3})}{500mm})}^{\frac{1}{3}}

Next Step Convert Units

∴

D i = {(\frac{(6 \cdot 0.0414m³ \cdot 1.2m) + (0.8m \cdot {1.2m}^{3})}{0.5m})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

D i = {(\frac{(6 \cdot 0.0414 \cdot 1.2) + (0.8 \cdot {1.2}^{3})}{0.5})}^{\frac{1}{3}}

Next Step Evaluate

∴

D i = 1.49793850144706m

Next Step Convert to Output's Unit

∴

D i = 1497.93850144706mm

LAST Step Rounding Answer

∴

D i = 1497.9385mm

Inner Depth of Hollow Rectangular Shape Formula Elements

Variables

Inner Depth of Hollow Rectangular Section

Inner Depth of Hollow Rectangular Section is the interior Depth of rectangle in a hollow rectangular section.

Symbol: D_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Depth of Hollow Rectangular Section

Section Modulus

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

Symbol: Z

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Section Modulus

Outer Depth of Hollow Rectangular Section

Outer Depth of Hollow Rectangular Section is the exterior Depth of rectangle in a hollow rectangular section.

Symbol: D_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Depth of Hollow Rectangular Section

Outer Breadth of Hollow Rectangular Section

Outer Breadth of Hollow Rectangular Section is the exterior width of rectangle in a hollow rectangular section.

Symbol: B_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Breadth of Hollow Rectangular Section

Inner Breadth of Hollow Rectangular Section

Inner Breadth of Hollow Rectangular Section is the interior width of rectangle in a hollow rectangular section.

Symbol: B_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Breadth of Hollow Rectangular Section

Other formulas in Section Modulus for Various Shapes category

Go Section Modulus of Rectangular Shape

Z = \frac{b \cdot d^{2}}{6}

Go Breadth of Rectangular Shape given Section Modulus

b = \frac{6 \cdot Z}{d^{2}}

Go Depth of Rectangular Shape given Section Modulus

d = \sqrt{\frac{6 \cdot Z}{b}}

Go Section Modulus of Hollow Rectangular Shape

Z = \frac{(B o \cdot {D o}^{3}) - (B i \cdot {D i}^{3})}{6 \cdot D o}

How to Evaluate Inner Depth of Hollow Rectangular Shape?

Inner Depth of Hollow Rectangular Shape evaluator uses Inner Depth of Hollow Rectangular Section = (((6*Section Modulus*Outer Depth of Hollow Rectangular Section)+(Outer Breadth of Hollow Rectangular Section*Outer Depth of Hollow Rectangular Section^3))/(Inner Breadth of Hollow Rectangular Section))^(1/3) to evaluate the Inner Depth of Hollow Rectangular Section, The Inner Depth of Hollow Rectangular Shape formula is defined as the distance between its inner surfaces or faces along the vertical axis. Inner Depth of Hollow Rectangular Section is denoted by D_i symbol.

How to evaluate Inner Depth of Hollow Rectangular Shape using this online evaluator? To use this online evaluator for Inner Depth of Hollow Rectangular Shape, enter Section Modulus (Z), Outer Depth of Hollow Rectangular Section (D_o), Outer Breadth of Hollow Rectangular Section (B_o) & Inner Breadth of Hollow Rectangular Section (B_i) and hit the calculate button.

FAQs on Inner Depth of Hollow Rectangular Shape

What is the formula to find Inner Depth of Hollow Rectangular Shape?

The formula of Inner Depth of Hollow Rectangular Shape is expressed as Inner Depth of Hollow Rectangular Section = (((6*Section Modulus*Outer Depth of Hollow Rectangular Section)+(Outer Breadth of Hollow Rectangular Section*Outer Depth of Hollow Rectangular Section^3))/(Inner Breadth of Hollow Rectangular Section))^(1/3). Here is an example- 1.5E+6 = (((6*0.04141*1.2)+(0.8*1.2^3))/(0.5))^(1/3).

How to calculate Inner Depth of Hollow Rectangular Shape?

With Section Modulus (Z), Outer Depth of Hollow Rectangular Section (D_o), Outer Breadth of Hollow Rectangular Section (B_o) & Inner Breadth of Hollow Rectangular Section (B_i) we can find Inner Depth of Hollow Rectangular Shape using the formula - Inner Depth of Hollow Rectangular Section = (((6*Section Modulus*Outer Depth of Hollow Rectangular Section)+(Outer Breadth of Hollow Rectangular Section*Outer Depth of Hollow Rectangular Section^3))/(Inner Breadth of Hollow Rectangular Section))^(1/3).

Can the Inner Depth of Hollow Rectangular Shape be negative?

No, the Inner Depth of Hollow Rectangular Shape, measured in Length cannot be negative.

Which unit is used to measure Inner Depth of Hollow Rectangular Shape?

Inner Depth of Hollow Rectangular Shape is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Inner Depth of Hollow Rectangular Shape can be measured.

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Inner Depth of Hollow Rectangular Shape Formula

Inner Depth of Hollow Rectangular Shape Example

Inner Depth of Hollow Rectangular Shape Solution

Inner Depth of Hollow Rectangular Shape Formula Elements

Other formulas in Section Modulus for Various Shapes category

How to Evaluate Inner Depth of Hollow Rectangular Shape?

FAQs on Inner Depth of Hollow Rectangular Shape

Variable Name