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Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section Formula

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

I circular = \frac{M \cdot d}{2 \cdot σb max}

I_circular - MOI of Area of Circular Section?M - Moment due to Eccentric Load?d - Diameter?σb^max - Maximum Bending Stress?

Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section Example

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

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

Here is how the Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section equation looks like.

0.0144 = \frac{0.0003 \cdot 142}{2 \cdot 1263.432}

0.0144mm⁴ = \frac{0.0003N*m \cdot 142mm}{2 \cdot 1263.432MPa}

0.0144 = \frac{0.0003 \cdot 142}{2 \cdot 1263.432}

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Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section Solution

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

FIRST Step Consider the formula

I circular = \frac{M \cdot d}{2 \cdot σb max}

Next Step Substitute values of Variables

∴

I circular = \frac{0.0003N*m \cdot 142mm}{2 \cdot 1263.432MPa}

Next Step Convert Units

∴

I circular = \frac{0.0003N*m \cdot 0.142m}{2 \cdot 1.3E+9Pa}

Next Step Prepare to Evaluate

∴

I circular = \frac{0.0003 \cdot 0.142}{2 \cdot 1.3E+9}

Next Step Evaluate

∴

I circular = 1.43862115254323E-14m⁴

Next Step Convert to Output's Unit

∴

I circular = 0.0143862115254323mm⁴

LAST Step Rounding Answer

∴

I circular = 0.0144mm⁴

Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section Formula Elements

Variables

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

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

Maximum Bending Stress

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

Symbol: σb^max

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Bending Stress

Other formulas in Middle Quarter Rule for Circular Section category

Go Diameter of Circular Section given Maximum Value of Eccentricity

d = 8 \cdot e load

Go Maximum value of Eccentricity for No Tensile Stress

e load = \frac{d}{8}

Go Condition for Maximum Bending Stress given Diameter

d = 2 \cdot d nl

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})

How to Evaluate Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section?

Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section evaluator uses MOI of Area of Circular Section = (Moment due to Eccentric Load*Diameter)/(2*Maximum Bending Stress) to evaluate the MOI of Area of Circular Section, The Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section formula is defined as a measure of the tendency of an object to resist changes in its rotation, specifically for circular sections under maximum bending stress, providing a crucial parameter in structural analysis and design. MOI of Area of Circular Section is denoted by I_circular symbol.

How to evaluate Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section using this online evaluator? To use this online evaluator for Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section, enter Moment due to Eccentric Load (M), Diameter (d) & Maximum Bending Stress (σb^max) and hit the calculate button.

FAQs on Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section

What is the formula to find Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section?

The formula of Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section is expressed as MOI of Area of Circular Section = (Moment due to Eccentric Load*Diameter)/(2*Maximum Bending Stress). Here is an example- 4.6E+14 = (0.000256*0.142)/(2*1263432000).

How to calculate Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section?

With Moment due to Eccentric Load (M), Diameter (d) & Maximum Bending Stress (σb^max) we can find Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section using the formula - MOI of Area of Circular Section = (Moment due to Eccentric Load*Diameter)/(2*Maximum Bending Stress).

Can the Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section be negative?

No, the Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section?

Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section is usually measured using the Millimeter⁴[mm⁴] for Second Moment of Area. Meter⁴[mm⁴], Centimeter⁴[mm⁴] are the few other units in which Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section can be measured.

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Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section Formula

Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section Example

Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section Solution

Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section Formula Elements

Other formulas in Middle Quarter Rule for Circular Section category

How to Evaluate Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section?

FAQs on Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section

Variable Name