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Bending Moment given Bending Stress Formula

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Bending moment in welded joint is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. Check FAQs

M b = I \cdot \frac{σ b}{y}

M_b - Bending Moment in Welded Joint?I - Moment of Inertia of Weld about Neutral Axis?σ_b - Bending Stress in Welded Joint?y - Distance of Point in Weld to Neutral Axis?

Bending Moment given Bending Stress Example

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Here is how the Bending Moment given Bending Stress equation looks like with Values.

Here is how the Bending Moment given Bending Stress equation looks like with Units.

Here is how the Bending Moment given Bending Stress equation looks like.

975000 = 1.5E+6 \cdot \frac{130}{200}

975000N*mm = 1.5E+6mm⁴ \cdot \frac{130N/mm²}{200mm}

975000 = 1.5E+6 \cdot \frac{130}{200}

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Bending Moment given Bending Stress Solution

Follow our step by step solution on how to calculate Bending Moment given Bending Stress?

FIRST Step Consider the formula

M b = I \cdot \frac{σ b}{y}

Next Step Substitute values of Variables

∴

M b = 1.5E+6mm⁴ \cdot \frac{130N/mm²}{200mm}

Next Step Convert Units

∴

M b = 1.5E-6m⁴ \cdot \frac{1.3E+8Pa}{0.2m}

Next Step Prepare to Evaluate

∴

M b = 1.5E-6 \cdot \frac{1.3E+8}{0.2}

Next Step Evaluate

∴

M b = 975N*m

LAST Step Convert to Output's Unit

∴

M b = 975000N*mm

Bending Moment given Bending Stress Formula Elements

Variables

Bending Moment in Welded Joint

Bending moment in welded joint is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.

Symbol: M_b

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending Moment in Welded Joint

Moment of Inertia of Weld about Neutral Axis

Moment of Inertia of Weld about Neutral Axis is defined as the quantitative measure of the rotational inertia of the body about the neutral axis.

Symbol: I

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Weld about Neutral Axis

Bending Stress in Welded Joint

Bending stress in welded joint is the normal stress that is induced at a point in a welded joint subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Welded Joint

Distance of Point in Weld to Neutral Axis

Distance of Point in Weld to Neutral Axis is defined as the distance of any point in the Weld to the neutral axis.

Symbol: y

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance of Point in Weld to Neutral Axis

Other formulas in Welded Joints Subjected to Bending Moment category

Go Primary Shear Stress-induced due to Eccentric Load

τ 1 = \frac{W}{A}

Go Bending Stress Caused Due to Bending Moment

σ b = M b \cdot \frac{y}{I}

Go Moment of Inertia of all Welds given Bending Moment

I = M b \cdot \frac{y}{σ b}

Go Distance of Point in Weld from Neutral Axis given Bending Stress in Weld

y = I \cdot \frac{σ b}{M b}

How to Evaluate Bending Moment given Bending Stress?

Bending Moment given Bending Stress evaluator uses Bending Moment in Welded Joint = Moment of Inertia of Weld about Neutral Axis*Bending Stress in Welded Joint/Distance of Point in Weld to Neutral Axis to evaluate the Bending Moment in Welded Joint, The Bending Moment given Bending Stress formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. Bending Moment in Welded Joint is denoted by M_b symbol.

How to evaluate Bending Moment given Bending Stress using this online evaluator? To use this online evaluator for Bending Moment given Bending Stress, enter Moment of Inertia of Weld about Neutral Axis (I), Bending Stress in Welded Joint (σ_b) & Distance of Point in Weld to Neutral Axis (y) and hit the calculate button.

FAQs on Bending Moment given Bending Stress

What is the formula to find Bending Moment given Bending Stress?

The formula of Bending Moment given Bending Stress is expressed as Bending Moment in Welded Joint = Moment of Inertia of Weld about Neutral Axis*Bending Stress in Welded Joint/Distance of Point in Weld to Neutral Axis. Here is an example- 9.8E+8 = 1.5E-06*130000000/0.2.

How to calculate Bending Moment given Bending Stress?

With Moment of Inertia of Weld about Neutral Axis (I), Bending Stress in Welded Joint (σ_b) & Distance of Point in Weld to Neutral Axis (y) we can find Bending Moment given Bending Stress using the formula - Bending Moment in Welded Joint = Moment of Inertia of Weld about Neutral Axis*Bending Stress in Welded Joint/Distance of Point in Weld to Neutral Axis.

Can the Bending Moment given Bending Stress be negative?

No, the Bending Moment given Bending Stress, measured in Torque cannot be negative.

Which unit is used to measure Bending Moment given Bending Stress?

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

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Bending Moment given Bending Stress Formula

Bending Moment given Bending Stress Example

Bending Moment given Bending Stress Solution

Bending Moment given Bending Stress Formula Elements

Other formulas in Welded Joints Subjected to Bending Moment category

How to Evaluate Bending Moment given Bending Stress?

FAQs on Bending Moment given Bending Stress

Variable Name