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Inner Diameter of Hollow Circular Section given Section Modulus Formula

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Inner Diameter of Hollow Circular Section is the distance measured across the interior of the hollow section, passing through its center. Check FAQs

d i = {({d o}^{4} - \frac{32 \cdot d o \cdot Z}{π})}^{\frac{1}{4}}

d_i - Inner Diameter of Hollow Circular Section?d_o - Outer Diameter of Hollow Circular Section?Z - Section Modulus?π - Archimedes' constant?

Inner Diameter of Hollow Circular Section given Section Modulus Example

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Here is how the Inner Diameter of Hollow Circular Section given Section Modulus equation looks like with Values.

Here is how the Inner Diameter of Hollow Circular Section given Section Modulus equation looks like with Units.

Here is how the Inner Diameter of Hollow Circular Section given Section Modulus equation looks like.

238.887 = {(240^{4} - \frac{32 \cdot 240 \cdot 25000}{3.1416})}^{\frac{1}{4}}

238.887mm = {({240mm}^{4} - \frac{32 \cdot 240mm \cdot 25000mm³}{3.1416})}^{\frac{1}{4}}

238.887 = {(240^{4} - \frac{32 \cdot 240 \cdot 25000}{3.1416})}^{\frac{1}{4}}

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Inner Diameter of Hollow Circular Section given Section Modulus Solution

Follow our step by step solution on how to calculate Inner Diameter of Hollow Circular Section given Section Modulus?

FIRST Step Consider the formula

d i = {({d o}^{4} - \frac{32 \cdot d o \cdot Z}{π})}^{\frac{1}{4}}

Next Step Substitute values of Variables

∴

d i = {({240mm}^{4} - \frac{32 \cdot 240mm \cdot 25000mm³}{π})}^{\frac{1}{4}}

Next Step Substitute values of Constants

∴

d i = {({240mm}^{4} - \frac{32 \cdot 240mm \cdot 25000mm³}{3.1416})}^{\frac{1}{4}}

Next Step Convert Units

∴

d i = {({0.24m}^{4} - \frac{32 \cdot 0.24m \cdot 2.5E-5m³}{3.1416})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

d i = {({0.24}^{4} - \frac{32 \cdot 0.24 \cdot 2.5E-5}{3.1416})}^{\frac{1}{4}}

Next Step Evaluate

∴

d i = 0.238887039489107m

Next Step Convert to Output's Unit

∴

d i = 238.887039489107mm

LAST Step Rounding Answer

∴

d i = 238.887mm

Inner Diameter of Hollow Circular Section given Section Modulus Formula Elements

Variables

Constants

Inner Diameter of Hollow Circular Section

Inner Diameter of Hollow Circular Section is the distance measured across the interior of the hollow section, passing through its center.

Symbol: d_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Diameter of Hollow Circular Section

Outer Diameter of Hollow Circular Section

Outer Diameter of Hollow Circular Section is the measurement of the total width of the circular section from one outside edge to the opposite outside edge, passing through the center.

Symbol: d_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Hollow Circular Section

Section Modulus

Section Modulus is a geometric property of a cross-section used in structural and mechanical engineering to assess the strength of a beam or similar structure.

Symbol: Z

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Hollow Circular Section category

Go Section Modulus of Hollow Circular Section

Z = \frac{π}{32 \cdot d o} \cdot ({d o}^{4} - {d i}^{4})

Go Outer Diameter of Hollow Circular Section

d o = 2 \cdot Y max

Go Distance of Outermost Layer from Neutral Axis in Hollow Circular Section

Y max = \frac{d o}{2}

Go Moment of Inertia of Hollow Circular Section

I circular = \frac{π}{64} \cdot ({d o}^{4} - {d i}^{4})

How to Evaluate Inner Diameter of Hollow Circular Section given Section Modulus?

Inner Diameter of Hollow Circular Section given Section Modulus evaluator uses Inner Diameter of Hollow Circular Section = (Outer Diameter of Hollow Circular Section^4-(32*Outer Diameter of Hollow Circular Section*Section Modulus)/pi)^(1/4) to evaluate the Inner Diameter of Hollow Circular Section, The Inner Diameter of Hollow Circular Section given Section Modulus formula is defined as a measure of the internal diameter of a hollow circular section, which is essential in calculating the bending stress in a beam, providing valuable insights into the structural integrity of the beam under various loads. Inner Diameter of Hollow Circular Section is denoted by d_i symbol.

How to evaluate Inner Diameter of Hollow Circular Section given Section Modulus using this online evaluator? To use this online evaluator for Inner Diameter of Hollow Circular Section given Section Modulus, enter Outer Diameter of Hollow Circular Section (d_o) & Section Modulus (Z) and hit the calculate button.

FAQs on Inner Diameter of Hollow Circular Section given Section Modulus

What is the formula to find Inner Diameter of Hollow Circular Section given Section Modulus?

The formula of Inner Diameter of Hollow Circular Section given Section Modulus is expressed as Inner Diameter of Hollow Circular Section = (Outer Diameter of Hollow Circular Section^4-(32*Outer Diameter of Hollow Circular Section*Section Modulus)/pi)^(1/4). Here is an example- 238887 = (0.24^4-(32*0.24*2.5E-05)/pi)^(1/4).

How to calculate Inner Diameter of Hollow Circular Section given Section Modulus?

With Outer Diameter of Hollow Circular Section (d_o) & Section Modulus (Z) we can find Inner Diameter of Hollow Circular Section given Section Modulus using the formula - Inner Diameter of Hollow Circular Section = (Outer Diameter of Hollow Circular Section^4-(32*Outer Diameter of Hollow Circular Section*Section Modulus)/pi)^(1/4). This formula also uses Archimedes' constant .

Can the Inner Diameter of Hollow Circular Section given Section Modulus be negative?

No, the Inner Diameter of Hollow Circular Section given Section Modulus, measured in Length cannot be negative.

Which unit is used to measure Inner Diameter of Hollow Circular Section given Section Modulus?

Inner Diameter of Hollow Circular Section 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 Inner Diameter of Hollow Circular Section given Section Modulus can be measured.

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Inner Diameter of Hollow Circular Section given Section Modulus Formula

Inner Diameter of Hollow Circular Section given Section Modulus Example

Inner Diameter of Hollow Circular Section given Section Modulus Solution

Inner Diameter of Hollow Circular Section given Section Modulus Formula Elements

Other formulas in Hollow Circular Section category

How to Evaluate Inner Diameter of Hollow Circular Section given Section Modulus?

FAQs on Inner Diameter of Hollow Circular Section given Section Modulus

Variable Name