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Depth of Rectangular Shape given Section Modulus Formula

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Depth of Cross Section (Height), in (mm) defines the geometrical measure from head to foot or from base to top of the section considered. Check FAQs

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

d - Depth of Cross Section?Z - Section Modulus?b - Width of Cross Section?

Depth of Rectangular Shape given Section Modulus Example

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Here is how the Depth of Rectangular Shape given Section Modulus equation looks like with Values.

Here is how the Depth of Rectangular Shape given Section Modulus equation looks like with Units.

Here is how the Depth of Rectangular Shape given Section Modulus equation looks like.

910.0549 = \sqrt{\frac{6 \cdot 0.0414}{300}}

910.0549mm = \sqrt{\frac{6 \cdot 0.0414m³}{300mm}}

910.0549 = \sqrt{\frac{6 \cdot 0.0414}{300}}

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Depth of Rectangular Shape given Section Modulus Solution

Follow our step by step solution on how to calculate Depth of Rectangular Shape given Section Modulus?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = \sqrt{\frac{6 \cdot 0.0414m³}{300mm}}

Next Step Convert Units

∴

d = \sqrt{\frac{6 \cdot 0.0414m³}{0.3m}}

Next Step Prepare to Evaluate

∴

d = \sqrt{\frac{6 \cdot 0.0414}{0.3}}

Next Step Evaluate

∴

d = 0.910054943396276m

Next Step Convert to Output's Unit

∴

d = 910.054943396276mm

LAST Step Rounding Answer

∴

d = 910.0549mm

Depth of Rectangular Shape given Section Modulus Formula Elements

Variables

Functions

Depth of Cross Section

Depth of Cross Section (Height), in (mm) defines the geometrical measure from head to foot or from base to top of the section considered.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Cross 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

Width of Cross Section

Width of Cross Section is the geometric measurement or extent of the member from side to side.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Cross Section

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 Section Modulus of Hollow Rectangular Shape

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

Go Section Modulus of Circular Shape

Z = \frac{π \cdot Φ^{3}}{32}

How to Evaluate Depth of Rectangular Shape given Section Modulus?

Depth of Rectangular Shape given Section Modulus evaluator uses Depth of Cross Section = sqrt((6*Section Modulus)/Width of Cross Section) to evaluate the Depth of Cross Section, The Depth of Rectangular Shape given Section Modulus formula is defined as the depth of the cross-section which can result in the given section modulus when breadth is constant. Depth of Cross Section is denoted by d symbol.

How to evaluate Depth of Rectangular Shape given Section Modulus using this online evaluator? To use this online evaluator for Depth of Rectangular Shape given Section Modulus, enter Section Modulus (Z) & Width of Cross Section (b) and hit the calculate button.

FAQs on Depth of Rectangular Shape given Section Modulus

What is the formula to find Depth of Rectangular Shape given Section Modulus?

The formula of Depth of Rectangular Shape given Section Modulus is expressed as Depth of Cross Section = sqrt((6*Section Modulus)/Width of Cross Section). Here is an example- 910054.9 = sqrt((6*0.04141)/0.3).

How to calculate Depth of Rectangular Shape given Section Modulus?

With Section Modulus (Z) & Width of Cross Section (b) we can find Depth of Rectangular Shape given Section Modulus using the formula - Depth of Cross Section = sqrt((6*Section Modulus)/Width of Cross Section). This formula also uses Square Root (sqrt) function(s).

Can the Depth of Rectangular Shape given Section Modulus be negative?

No, the Depth of Rectangular Shape given Section Modulus, measured in Length cannot be negative.

Which unit is used to measure Depth of Rectangular Shape given Section Modulus?

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

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Depth of Rectangular Shape given Section Modulus Formula

Depth of Rectangular Shape given Section Modulus Example

Depth of Rectangular Shape given Section Modulus Solution

Depth of Rectangular Shape given Section Modulus Formula Elements

Other formulas in Section Modulus for Various Shapes category

How to Evaluate Depth of Rectangular Shape given Section Modulus?

FAQs on Depth of Rectangular Shape given Section Modulus

Variable Name