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

GoSection Modulus given Bending Stress on Hollow Circular Section Formula

GoSection modulus 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{e load \cdot P}{σ b}

S - Section Modulus?e_load - Eccentricity of Loading?P - Eccentric Load on Column?σ_b - Bending Stress in Column?

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

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Here is how the Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section equation looks like with Values.

Here is how the Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section equation looks like with Units.

Here is how the Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section equation looks like.

1.2E+6 = \frac{25 \cdot 0.324}{0.0068}

1.2E+6mm³ = \frac{25mm \cdot 0.324kN}{0.0068MPa}

1.2E+6 = \frac{25 \cdot 0.324}{0.0068}

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

Follow our step by step solution on how to calculate Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section?

FIRST Step Consider the formula

S = \frac{e load \cdot P}{σ b}

Next Step Substitute values of Variables

∴

S = \frac{25mm \cdot 0.324kN}{0.0068MPa}

Next Step Convert Units

∴

S = \frac{0.025m \cdot 324N}{6750Pa}

Next Step Prepare to Evaluate

∴

S = \frac{0.025 \cdot 324}{6750}

Next Step Evaluate

∴

S = 0.0012m³

Next Step Convert to Output's Unit

∴

S = 1200000mm³

LAST Step Rounding Answer

∴

S = 1.2E+6mm³

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

Variables

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

Eccentricity of Loading

Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.

Symbol: e_load

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Eccentricity of Loading

Eccentric Load on Column

Eccentric Load on Column is the load that causes direct stress as well as bending stress.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Eccentric Load on Column

Bending Stress in Column

Bending Stress in Column is the normal stress that is induced at a point in a column subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Bending Stress in Column

Other Formulas to find Section Modulus

Go Section Modulus given Bending Stress on Hollow Circular Section

S = \frac{M}{σ b}

Go Section modulus hollow circular section

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

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 given Bending Stress and Eccentric Load on Hollow Circular Section?

Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section evaluator uses Section Modulus = (Eccentricity of Loading*Eccentric Load on Column)/Bending Stress in Column to evaluate the Section Modulus, The Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section formula is defined as a measure of the ability of a hollow circular section to resist bending stress caused by an eccentric load, providing a way to calculate the maximum stress a section can withstand without deforming plastically. Section Modulus is denoted by S symbol.

How to evaluate Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section using this online evaluator? To use this online evaluator for Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section, enter Eccentricity of Loading (e_load), Eccentric Load on Column (P) & Bending Stress in Column (σ_b) and hit the calculate button.

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

What is the formula to find Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section?

The formula of Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section is expressed as Section Modulus = (Eccentricity of Loading*Eccentric Load on Column)/Bending Stress in Column. Here is an example- 2.6E+16 = (0.025*324)/6750.

How to calculate Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section?

With Eccentricity of Loading (e_load), Eccentric Load on Column (P) & Bending Stress in Column (σ_b) we can find Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section using the formula - Section Modulus = (Eccentricity of Loading*Eccentric Load on Column)/Bending Stress in Column.

What are the other ways to Calculate Section Modulus?

Here are the different ways to Calculate Section Modulus-

Section Modulus=Moment due to Eccentric Load/Bending Stress in Column
Section Modulus=(pi/(32*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^4)-(Hollow Circular Section Inner Diameter^4))

Can the Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section be negative?

No, the Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section, measured in Volume cannot be negative.

Which unit is used to measure Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section?

Section Modulus given Bending Stress and Eccentric Load on 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 given Bending Stress and Eccentric Load on Hollow Circular Section can be measured.

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

​GoSection Modulus given Bending Stress on Hollow Circular Section Formula

​GoSection modulus hollow circular section Formula

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

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

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

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

Variable Name

GoSection Modulus given Bending Stress on Hollow Circular Section Formula

GoSection modulus hollow circular section Formula