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Diameter of Circular Section given Maximum Bending Stress Formula

GoDiameter of Circular Section given Maximum Value of Eccentricity Formula

GoCondition for Maximum Bending Stress given Diameter Formula

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Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere. Check FAQs

d = \frac{σ b \cdot (2 \cdot I circular)}{M}

d - Diameter?σ_b - Bending Stress in Column?I_circular - MOI of Area of Circular Section?M - Moment due to Eccentric Load?

Diameter of Circular Section given Maximum Bending Stress Example

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Here is how the Diameter of Circular Section given Maximum Bending Stress equation looks like with Values.

Here is how the Diameter of Circular Section given Maximum Bending Stress equation looks like with Units.

Here is how the Diameter of Circular Section given Maximum Bending Stress equation looks like.

142.2465 = \frac{0.04 \cdot (2 \cdot 455.1887)}{0.0003}

142.2465mm = \frac{0.04MPa \cdot (2 \cdot 455.1887mm⁴)}{0.0003N*m}

142.2465 = \frac{0.04 \cdot (2 \cdot 455.1887)}{0.0003}

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Diameter of Circular Section given Maximum Bending Stress Solution

Follow our step by step solution on how to calculate Diameter of Circular Section given Maximum Bending Stress?

FIRST Step Consider the formula

d = \frac{σ b \cdot (2 \cdot I circular)}{M}

Next Step Substitute values of Variables

∴

d = \frac{0.04MPa \cdot (2 \cdot 455.1887mm⁴)}{0.0003N*m}

Next Step Convert Units

∴

d = \frac{40000Pa \cdot (2 \cdot 4.6E-10m⁴)}{0.0003N*m}

Next Step Prepare to Evaluate

∴

d = \frac{40000 \cdot (2 \cdot 4.6E-10)}{0.0003}

Next Step Evaluate

∴

d = 0.14224646875m

Next Step Convert to Output's Unit

∴

d = 142.24646875mm

LAST Step Rounding Answer

∴

d = 142.2465mm

Diameter of Circular Section given Maximum Bending Stress Formula Elements

Variables

Diameter

Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter

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

MOI of Area of Circular Section

MOI of Area of Circular Section is the second moment of the area of the circular section about the neutral axis.

Symbol: I_circular

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find MOI of Area of Circular Section

Moment due to Eccentric Load

Moment due to Eccentric Load is the bending moment created when a load is applied at a point that is offset (or "eccentric") from the central axis of a structural element, like a beam or column.

Symbol: M

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Moment due to Eccentric Load

Other Formulas to find Diameter

Go Diameter of Circular Section given Maximum Value of Eccentricity

d = 8 \cdot e load

Go Condition for Maximum Bending Stress given Diameter

d = 2 \cdot d nl

Go Diameter of Circular Section given Direct Stress

d = \sqrt{\frac{4 \cdot P}{π \cdot σ}}

Other formulas in Middle Quarter Rule for Circular Section category

Go Maximum value of Eccentricity for No Tensile Stress

e load = \frac{d}{8}

Go Eccentricity of Load given Minimum Bending Stress

e load = ((\frac{4 \cdot P}{π \cdot (d^{2})}) - σb min) \cdot (\frac{π \cdot (d^{3})}{32 \cdot P})

Go Eccentric Load given Minimum Bending Stress

P = (σb min \cdot (π \cdot (d^{2}))) \cdot \frac{1 - (\frac{8 \cdot e load}{d})}{4}

Go Minimum Bending Stress given Eccentric Load

σb min = (\frac{4 \cdot P}{π \cdot (d^{2})}) \cdot (1 - (\frac{8 \cdot e load}{d}))

How to Evaluate Diameter of Circular Section given Maximum Bending Stress?

Diameter of Circular Section given Maximum Bending Stress evaluator uses Diameter = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Moment due to Eccentric Load to evaluate the Diameter, The Diameter of Circular Section given Maximum Bending Stress formula is defined as a measure of the diameter of a circular section that can withstand a maximum bending stress, which is critical in designing and analyzing beams and columns in structural engineering applications. Diameter is denoted by d symbol.

How to evaluate Diameter of Circular Section given Maximum Bending Stress using this online evaluator? To use this online evaluator for Diameter of Circular Section given Maximum Bending Stress, enter Bending Stress in Column (σ_b), MOI of Area of Circular Section (I_circular) & Moment due to Eccentric Load (M) and hit the calculate button.

FAQs on Diameter of Circular Section given Maximum Bending Stress

What is the formula to find Diameter of Circular Section given Maximum Bending Stress?

The formula of Diameter of Circular Section given Maximum Bending Stress is expressed as Diameter = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Moment due to Eccentric Load. Here is an example- 4.495691 = (40000*(2*4.551887E-10))/0.000256.

How to calculate Diameter of Circular Section given Maximum Bending Stress?

With Bending Stress in Column (σ_b), MOI of Area of Circular Section (I_circular) & Moment due to Eccentric Load (M) we can find Diameter of Circular Section given Maximum Bending Stress using the formula - Diameter = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Moment due to Eccentric Load.

What are the other ways to Calculate Diameter?

Here are the different ways to Calculate Diameter-

Diameter=8*Eccentricity of Loading
Diameter=2*Distance from Neutral Layer
Diameter=sqrt((4*Eccentric Load on Column)/(pi*Direct Stress))

Can the Diameter of Circular Section given Maximum Bending Stress be negative?

No, the Diameter of Circular Section given Maximum Bending Stress, measured in Length cannot be negative.

Which unit is used to measure Diameter of Circular Section given Maximum Bending Stress?

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

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Diameter of Circular Section given Maximum Bending Stress Formula

​GoDiameter of Circular Section given Maximum Value of Eccentricity Formula

​GoCondition for Maximum Bending Stress given Diameter Formula

Diameter of Circular Section given Maximum Bending Stress Example

Diameter of Circular Section given Maximum Bending Stress Solution

Diameter of Circular Section given Maximum Bending Stress Formula Elements

Other Formulas to find Diameter

Other formulas in Middle Quarter Rule for Circular Section category

How to Evaluate Diameter of Circular Section given Maximum Bending Stress?

FAQs on Diameter of Circular Section given Maximum Bending Stress

Variable Name

GoDiameter of Circular Section given Maximum Value of Eccentricity Formula

GoCondition for Maximum Bending Stress given Diameter Formula