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Eccentricity given Bending Stress on Hollow Circular Section Formula

GoMaximum value of eccentricity of load for hollow circular section Formula

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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. Check FAQs

e load = \frac{σ b \cdot S}{P}

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

Eccentricity given Bending Stress on Hollow Circular Section Example

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Here is how the Eccentricity given Bending Stress on Hollow Circular Section equation looks like with Values.

Here is how the Eccentricity given Bending Stress on Hollow Circular Section equation looks like with Units.

Here is how the Eccentricity given Bending Stress on Hollow Circular Section equation looks like.

6.8571 = \frac{0.04 \cdot 1.2E+6}{7}

6.8571mm = \frac{0.04MPa \cdot 1.2E+6mm³}{7kN}

6.8571 = \frac{0.04 \cdot 1.2E+6}{7}

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Eccentricity given Bending Stress on Hollow Circular Section Solution

Follow our step by step solution on how to calculate Eccentricity given Bending Stress on Hollow Circular Section?

FIRST Step Consider the formula

e load = \frac{σ b \cdot S}{P}

Next Step Substitute values of Variables

∴

e load = \frac{0.04MPa \cdot 1.2E+6mm³}{7kN}

Next Step Convert Units

∴

e load = \frac{40000Pa \cdot 0.0012m³}{7000N}

Next Step Prepare to Evaluate

∴

e load = \frac{40000 \cdot 0.0012}{7000}

Next Step Evaluate

∴

e load = 0.00685714285714286m

Next Step Convert to Output's Unit

∴

e load = 6.85714285714286mm

LAST Step Rounding Answer

∴

e load = 6.8571mm

Eccentricity given Bending Stress on Hollow Circular Section Formula Elements

Variables

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

Bending Stress in Column

Bending Stress in Column is the normal stress that is induced at a point in a body 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

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

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

Other Formulas to find Eccentricity of Loading

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}))

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

S = \frac{e load \cdot P}{σ b}

How to Evaluate Eccentricity given Bending Stress on Hollow Circular Section?

Eccentricity given Bending Stress on Hollow Circular Section evaluator uses Eccentricity of Loading = (Bending Stress in Column*Section Modulus)/Eccentric load on column to evaluate the Eccentricity of Loading, The Eccentricity given bending stress on hollow circular section formula is defined as the distance between the actual line of action of compressive or tensile loads and the line of action that would produce uniform stress over the cross-section of the specimen. Eccentricity of Loading is denoted by e_load symbol.

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

FAQs on Eccentricity given Bending Stress on Hollow Circular Section

What is the formula to find Eccentricity given Bending Stress on Hollow Circular Section?

The formula of Eccentricity given Bending Stress on Hollow Circular Section is expressed as Eccentricity of Loading = (Bending Stress in Column*Section Modulus)/Eccentric load on column. Here is an example- 6857.143 = (40000*0.0012)/7000.

How to calculate Eccentricity given Bending Stress on Hollow Circular Section?

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

What are the other ways to Calculate Eccentricity of Loading?

Here are the different ways to Calculate Eccentricity of Loading-

Eccentricity of Loading=(1/(8*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^2)+(Hollow Circular Section Inner Diameter^2))

Can the Eccentricity given Bending Stress on Hollow Circular Section be negative?

No, the Eccentricity given Bending Stress on Hollow Circular Section, measured in Length cannot be negative.

Which unit is used to measure Eccentricity given Bending Stress on Hollow Circular Section?

Eccentricity given Bending Stress on Hollow Circular Section is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Eccentricity given Bending Stress on Hollow Circular Section can be measured.

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Eccentricity given Bending Stress on Hollow Circular Section Formula

​GoMaximum value of eccentricity of load for hollow circular section Formula

Eccentricity given Bending Stress on Hollow Circular Section Example

Eccentricity given Bending Stress on Hollow Circular Section Solution

Eccentricity given Bending Stress on Hollow Circular Section Formula Elements

Other Formulas to find Eccentricity of Loading

Other formulas in Kernel of Hollow Circular Section category

How to Evaluate Eccentricity given Bending Stress on Hollow Circular Section?

FAQs on Eccentricity given Bending Stress on Hollow Circular Section

Variable Name

GoMaximum value of eccentricity of load for hollow circular section Formula