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Moment of Load given Maximum Bending Stress for Circular Section Formula

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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. Check FAQs

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

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

Moment of Load given Maximum Bending Stress for Circular Section Example

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

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

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

0.0003 = \frac{0.04 \cdot (2 \cdot 455.1887)}{142}

0.0003N*m = \frac{0.04MPa \cdot (2 \cdot 455.1887mm⁴)}{142mm}

0.0003 = \frac{0.04 \cdot (2 \cdot 455.1887)}{142}

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Moment of Load given Maximum Bending Stress for Circular Section Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M = \frac{0.04MPa \cdot (2 \cdot 455.1887mm⁴)}{142mm}

Next Step Convert Units

∴

M = \frac{40000Pa \cdot (2 \cdot 4.6E-10m⁴)}{0.142m}

Next Step Prepare to Evaluate

∴

M = \frac{40000 \cdot (2 \cdot 4.6E-10)}{0.142}

Next Step Evaluate

∴

M = 0.000256444338028169N*m

LAST Step Rounding Answer

∴

M = 0.0003N*m

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

Variables

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

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

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

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 Load given Maximum Bending Stress for Circular Section?

Moment of Load given Maximum Bending Stress for Circular Section evaluator uses Moment due to Eccentric Load = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Diameter to evaluate the Moment due to Eccentric Load, The Moment of Load given Maximum Bending Stress for Circular Section formula is defined as a measure of the twisting force that causes bending stress in a circular section, which is essential in determining the structural integrity of beams and columns under various loads. Moment due to Eccentric Load is denoted by M symbol.

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

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

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

The formula of Moment of Load given Maximum Bending Stress for Circular Section is expressed as Moment due to Eccentric Load = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Diameter. Here is an example- 0.000256 = (40000*(2*4.551887E-10))/0.142.

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

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

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

No, the Moment of Load given Maximum Bending Stress for Circular Section, measured in Torque cannot be negative.

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

Moment of Load given Maximum Bending Stress for Circular Section is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Moment of Load given Maximum Bending Stress for Circular Section can be measured.

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Moment of Load given Maximum Bending Stress for Circular Section Formula

Moment of Load given Maximum Bending Stress for Circular Section Example

Moment of Load given Maximum Bending Stress for Circular Section Solution

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

Other formulas in Middle Quarter Rule for Circular Section category

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

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

Variable Name