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Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending Formula

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Bending Moment about X-Axis is defined as the bending moment about principal axis XX. Check FAQs

M x = (f Max - (\frac{M y \cdot x}{I y})) \cdot \frac{I x}{y}

M_x - Bending Moment about X-Axis?f_Max - Maximum Stress?M_y - Bending Moment about Y-Axis?x - Distance from Point to YY Axis?I_y - Moment of Inertia about Y-Axis?I_x - Moment of Inertia about X-Axis?y - Distance from Point to XX Axis?

Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending Example

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Here is how the Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending equation looks like with Values.

Here is how the Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending equation looks like with Units.

Here is how the Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending equation looks like.

238.8369 = (1430 - (\frac{307 \cdot 104}{50})) \cdot \frac{51}{169}

238.8369N*m = (1430N/m² - (\frac{307N*m \cdot 104mm}{50kg·m²})) \cdot \frac{51kg·m²}{169mm}

238.8369 = (1430 - (\frac{307 \cdot 104}{50})) \cdot \frac{51}{169}

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Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending Solution

Follow our step by step solution on how to calculate Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending?

FIRST Step Consider the formula

M x = (f Max - (\frac{M y \cdot x}{I y})) \cdot \frac{I x}{y}

Next Step Substitute values of Variables

∴

M x = (1430N/m² - (\frac{307N*m \cdot 104mm}{50kg·m²})) \cdot \frac{51kg·m²}{169mm}

Next Step Convert Units

∴

M x = (1430Pa - (\frac{307N*m \cdot 104mm}{50kg·m²})) \cdot \frac{51kg·m²}{169mm}

Next Step Prepare to Evaluate

∴

M x = (1430 - (\frac{307 \cdot 104}{50})) \cdot \frac{51}{169}

Next Step Evaluate

∴

M x = 238.836923076923N*m

LAST Step Rounding Answer

∴

M x = 238.8369N*m

Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending Formula Elements

Variables

Bending Moment about X-Axis

Bending Moment about X-Axis is defined as the bending moment about principal axis XX.

Symbol: M_x

Measurement: Moment of ForceUnit: N*m

Note: Value should be greater than 0.

Formulas to find Bending Moment about X-Axis

Maximum Stress

Maximum Stress is defined as force per unit area that the force acts upon.

Symbol: f_Max

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Maximum Stress

Bending Moment about Y-Axis

Bending Moment about Y-Axis is defined as the bending moment about principal axis YY.

Symbol: M_y

Measurement: Moment of ForceUnit: N*m

Note: Value should be greater than 0.

Formulas to find Bending Moment about Y-Axis

Distance from Point to YY Axis

Distance from Point to YY Axis is the distance from the point to the YY axis where stress is to be computed.

Symbol: x

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Point to YY Axis

Moment of Inertia about Y-Axis

Moment of Inertia about Y-Axis is defined as the moment of inertia of cross-section about YY.

Symbol: I_y

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia about Y-Axis

Moment of Inertia about X-Axis

Moment of Inertia about X-Axis is defined as the moment of inertia of cross-section about XX.

Symbol: I_x

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia about X-Axis

Distance from Point to XX Axis

Distance from Point to XX Axis is the distance of the point to XX axis where stress is to be computed.

Symbol: y

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Point to XX Axis

Other formulas in Unsymmetrical Bending category

Go Maximum Stress in Unsymmetrical Bending

f Max = (\frac{M x \cdot y}{I x}) + (\frac{M y \cdot x}{I y})

Go Bending Moment about Axis YY given Maximum Stress in Unsymmetrical Bending

M y = (f Max - (\frac{M x \cdot y}{I x})) \cdot \frac{I y}{x}

How to Evaluate Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending?

Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending evaluator uses Bending Moment about X-Axis = (Maximum Stress-((Bending Moment about Y-Axis*Distance from Point to YY Axis)/Moment of Inertia about Y-Axis))*Moment of Inertia about X-Axis/(Distance from Point to XX Axis) to evaluate the Bending Moment about X-Axis, The Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending 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 about X-Axis is denoted by M_x symbol.

How to evaluate Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending using this online evaluator? To use this online evaluator for Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending, enter Maximum Stress (f_Max), Bending Moment about Y-Axis (M_y), Distance from Point to YY Axis (x), Moment of Inertia about Y-Axis (I_y), Moment of Inertia about X-Axis (I_x) & Distance from Point to XX Axis (y) and hit the calculate button.

FAQs on Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending

What is the formula to find Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending?

The formula of Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending is expressed as Bending Moment about X-Axis = (Maximum Stress-((Bending Moment about Y-Axis*Distance from Point to YY Axis)/Moment of Inertia about Y-Axis))*Moment of Inertia about X-Axis/(Distance from Point to XX Axis). Here is an example- -192.248876 = (1430-((307*0.104)/50))*51/(0.169).

How to calculate Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending?

With Maximum Stress (f_Max), Bending Moment about Y-Axis (M_y), Distance from Point to YY Axis (x), Moment of Inertia about Y-Axis (I_y), Moment of Inertia about X-Axis (I_x) & Distance from Point to XX Axis (y) we can find Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending using the formula - Bending Moment about X-Axis = (Maximum Stress-((Bending Moment about Y-Axis*Distance from Point to YY Axis)/Moment of Inertia about Y-Axis))*Moment of Inertia about X-Axis/(Distance from Point to XX Axis).

Can the Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending be negative?

No, the Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending, measured in Moment of Force cannot be negative.

Which unit is used to measure Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending?

Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending is usually measured using the Newton Meter[N*m] for Moment of Force. Kilonewton Meter[N*m], Millinewton Meter[N*m], Micronewton Meter[N*m] are the few other units in which Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending can be measured.

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Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending Formula

Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending Example

Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending Solution

Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending Formula Elements

Other formulas in Unsymmetrical Bending category

How to Evaluate Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending?

FAQs on Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending

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