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Section modulus hollow circular section Formula

GoSection Modulus given Bending Stress and Eccentric Load on Hollow Circular Section Formula

GoSection Modulus given Bending Stress on Hollow Circular Section Formula

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

S = (\frac{π}{32 \cdot d circle}) \cdot (({d circle}^{4}) - ({d i}^{4}))

S - Section Modulus?d_circle - Outer Diameter of Hollow Circular Section?d_i - Hollow Circular Section Inner Diameter?π - Archimedes' constant?

Section modulus hollow circular section Example

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Here is how the Section modulus hollow circular section equation looks like with Values.

Here is how the Section modulus hollow circular section equation looks like with Units.

Here is how the Section modulus hollow circular section equation looks like.

885.7136 = (\frac{3.1416}{32 \cdot 23}) \cdot ((23^{4}) - ({16.4}^{4}))

885.7136mm³ = (\frac{3.1416}{32 \cdot 23mm}) \cdot (({23mm}^{4}) - ({16.4mm}^{4}))

885.7136 = (\frac{3.1416}{32 \cdot 23}) \cdot ((23^{4}) - ({16.4}^{4}))

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Section modulus hollow circular section Solution

Follow our step by step solution on how to calculate Section modulus hollow circular section?

FIRST Step Consider the formula

S = (\frac{π}{32 \cdot d circle}) \cdot (({d circle}^{4}) - ({d i}^{4}))

Next Step Substitute values of Variables

∴

S = (\frac{π}{32 \cdot 23mm}) \cdot (({23mm}^{4}) - ({16.4mm}^{4}))

Next Step Substitute values of Constants

∴

S = (\frac{3.1416}{32 \cdot 23mm}) \cdot (({23mm}^{4}) - ({16.4mm}^{4}))

Next Step Convert Units

∴

S = (\frac{3.1416}{32 \cdot 0.023m}) \cdot (({0.023m}^{4}) - ({0.0164m}^{4}))

Next Step Prepare to Evaluate

∴

S = (\frac{3.1416}{32 \cdot 0.023}) \cdot (({0.023}^{4}) - ({0.0164}^{4}))

Next Step Evaluate

∴

S = 8.85713649204031E-07m³

Next Step Convert to Output's Unit

∴

S = 885.713649204031mm³

LAST Step Rounding Answer

∴

S = 885.7136mm³

Section modulus hollow circular section Formula Elements

Variables

Constants

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 Diameter of Hollow Circular Section

Outer Diameter of Hollow Circular Section is the measure of largest diameter of 2D concentric circular cross section.

Symbol: d_circle

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Diameter of Hollow Circular Section

Hollow Circular Section Inner Diameter

Hollow Circular Section Inner Diameter is the diameter of inner circle of circular hollow shaft.

Symbol: d_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Hollow Circular Section Inner Diameter

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 to find Section Modulus

Go Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section

S = \frac{e load \cdot P}{σ b}

Go Section Modulus given Bending Stress on Hollow Circular Section

S = \frac{M}{σ b}

Other formulas in Kernel of Hollow Circular Section category

Go Inner Diameter of Hollow Circular Section given Diameter of kernel

d i = \sqrt{(4 \cdot d circle \cdot d kernel) - ({d circle}^{2})}

Go Diameter of kernel for hollow circular section

d kernel = \frac{{d circle}^{2} + {d i}^{2}}{4 \cdot d circle}

Go Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section

d i = \sqrt{(e load \cdot 8 \cdot d circle) - ({d circle}^{2})}

Go Maximum Value of Eccentricity of Load for Hollow Circular Section

e load = (\frac{1}{8 \cdot d circle}) \cdot (({d circle}^{2}) + ({d i}^{2}))

How to Evaluate Section modulus hollow circular section?

Section modulus hollow circular section evaluator uses Section Modulus = (pi/(32*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^4)-(Hollow Circular Section Inner Diameter^4)) to evaluate the Section Modulus, The Section Modulus Hollow Circular Section formula is defined as a geometric property that characterizes the bending strength of a hollow circular section, providing a measure of the section's ability to resist bending and deformation under external loads. Section Modulus is denoted by S symbol.

How to evaluate Section modulus hollow circular section using this online evaluator? To use this online evaluator for Section modulus hollow circular section, enter Outer Diameter of Hollow Circular Section (d_circle) & Hollow Circular Section Inner Diameter (d_i) and hit the calculate button.

FAQs on Section modulus hollow circular section

What is the formula to find Section modulus hollow circular section?

The formula of Section modulus hollow circular section is expressed as Section Modulus = (pi/(32*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^4)-(Hollow Circular Section Inner Diameter^4)). Here is an example- 8.9E+11 = (pi/(32*0.023))*((0.023^4)-(0.0164^4)).

How to calculate Section modulus hollow circular section?

With Outer Diameter of Hollow Circular Section (d_circle) & Hollow Circular Section Inner Diameter (d_i) we can find Section modulus hollow circular section using the formula - Section Modulus = (pi/(32*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^4)-(Hollow Circular Section Inner Diameter^4)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Section Modulus?

Here are the different ways to Calculate Section Modulus-

Section Modulus=(Eccentricity of Loading*Eccentric Load on Column)/Bending Stress in Column
Section Modulus=Moment due to Eccentric Load/Bending Stress in Column

Can the Section modulus hollow circular section be negative?

No, the Section modulus hollow circular section, measured in Volume cannot be negative.

Which unit is used to measure Section modulus hollow circular section?

Section modulus hollow circular section is usually measured using the Cubic Millimeter[mm³] for Volume. Cubic Meter[mm³], Cubic Centimeter[mm³], Liter[mm³] are the few other units in which Section modulus hollow circular section can be measured.

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Section modulus hollow circular section Formula

​GoSection Modulus given Bending Stress and Eccentric Load on Hollow Circular Section Formula

​GoSection Modulus given Bending Stress on Hollow Circular Section Formula

Section modulus hollow circular section Example

Section modulus hollow circular section Solution

Section modulus hollow circular section Formula Elements

Other Formulas to find Section Modulus

Other formulas in Kernel of Hollow Circular Section category

How to Evaluate Section modulus hollow circular section?

FAQs on Section modulus hollow circular section

Variable Name

GoSection Modulus given Bending Stress and Eccentric Load on Hollow Circular Section Formula

GoSection Modulus given Bending Stress on Hollow Circular Section Formula