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Maximum Bending Stress for Circular Section given Moment of Load Formula

GoMaximum Bending Stress given Eccentric Load Formula

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

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

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

Maximum Bending Stress for Circular Section given Moment of Load Example

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

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

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

0.1012 = \frac{0.0003 \cdot 360}{2 \cdot 455.1887}

0.1012MPa = \frac{0.0003N*m \cdot 360mm}{2 \cdot 455.1887mm⁴}

0.1012 = \frac{0.0003 \cdot 360}{2 \cdot 455.1887}

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Maximum Bending Stress for Circular Section given Moment of Load Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σb max = \frac{0.0003N*m \cdot 360mm}{2 \cdot 455.1887mm⁴}

Next Step Convert Units

∴

σb max = \frac{0.0003N*m \cdot 0.36m}{2 \cdot 4.6E-10m⁴}

Next Step Prepare to Evaluate

∴

σb max = \frac{0.0003 \cdot 0.36}{2 \cdot 4.6E-10}

Next Step Evaluate

∴

σb max = 101232.741498196Pa

Next Step Convert to Output's Unit

∴

σb max = 0.101232741498196MPa

LAST Step Rounding Answer

∴

σb max = 0.1012MPa

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

Variables

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

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 of Circular Section

Diameter of Circular Section is the diameter of the circular cross-section of the beam.

Symbol: d_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Circular Section

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

Other Formulas to find Maximum Bending Stress

Go Maximum Bending Stress given Eccentric Load

σb max = \frac{32 \cdot P \cdot e load}{π \cdot (d^{3})}

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 Maximum Bending Stress for Circular Section given Moment of Load?

Maximum Bending Stress for Circular Section given Moment of Load evaluator uses Maximum Bending Stress = (Moment due to Eccentric Load*Diameter of Circular Section)/(2*MOI of Area of Circular Section) to evaluate the Maximum Bending Stress, The Maximum Bending Stress for Circular Section given Moment of Load formula is defined as the maximum stress a circular section can withstand when subjected to a bending load, providing a critical value for structural integrity and safety assessments in engineering applications. Maximum Bending Stress is denoted by σb^max symbol.

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

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

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

The formula of Maximum Bending Stress for Circular Section given Moment of Load is expressed as Maximum Bending Stress = (Moment due to Eccentric Load*Diameter of Circular Section)/(2*MOI of Area of Circular Section). Here is an example- 0.003203 = (0.000256*0.36)/(2*4.551887E-10).

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

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

What are the other ways to Calculate Maximum Bending Stress?

Here are the different ways to Calculate Maximum Bending Stress-

Maximum Bending Stress=(32*Eccentric Load on Column*Eccentricity of Loading)/(pi*(Diameter^3))

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

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

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

Maximum Bending Stress for Circular Section given Moment of Load is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Maximum Bending Stress for Circular Section given Moment of Load can be measured.

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Maximum Bending Stress for Circular Section given Moment of Load Formula

​GoMaximum Bending Stress given Eccentric Load Formula

Maximum Bending Stress for Circular Section given Moment of Load Example

Maximum Bending Stress for Circular Section given Moment of Load Solution

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

Other Formulas to find Maximum Bending Stress

Other formulas in Middle Quarter Rule for Circular Section category

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

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

Variable Name

GoMaximum Bending Stress given Eccentric Load Formula