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Maximum Stress in Unsymmetrical Bending Formula

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

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

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

Maximum Stress in Unsymmetrical Bending Example

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Here is how the Maximum Stress in Unsymmetrical Bending equation looks like with Values.

Here is how the Maximum Stress in Unsymmetrical Bending equation looks like with Units.

Here is how the Maximum Stress in Unsymmetrical Bending equation looks like.

1430.5404 = (\frac{239 \cdot 169}{51}) + (\frac{307 \cdot 104}{50})

1430.5404N/m² = (\frac{239N*m \cdot 169mm}{51kg·m²}) + (\frac{307N*m \cdot 104mm}{50kg·m²})

1430.5404 = (\frac{239 \cdot 169}{51}) + (\frac{307 \cdot 104}{50})

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Maximum Stress in Unsymmetrical Bending Solution

Follow our step by step solution on how to calculate Maximum Stress in Unsymmetrical Bending?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f Max = (\frac{239N*m \cdot 169mm}{51kg·m²}) + (\frac{307N*m \cdot 104mm}{50kg·m²})

Next Step Prepare to Evaluate

∴

f Max = (\frac{239 \cdot 169}{51}) + (\frac{307 \cdot 104}{50})

Next Step Evaluate

∴

f Max = 1430.54039215686Pa

Next Step Convert to Output's Unit

∴

f Max = 1430.54039215686N/m²

LAST Step Rounding Answer

∴

f Max = 1430.5404N/m²

Maximum Stress in Unsymmetrical Bending Formula Elements

Variables

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 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

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

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

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

Other formulas in Unsymmetrical Bending category

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

M x = (f Max - (\frac{M y \cdot x}{I y})) \cdot \frac{I x}{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 Maximum Stress in Unsymmetrical Bending?

Maximum Stress in Unsymmetrical Bending evaluator uses Maximum Stress = ((Bending Moment about X-Axis*Distance from Point to XX Axis)/Moment of Inertia about X-Axis)+((Bending Moment about Y-Axis*Distance from Point to YY Axis)/Moment of Inertia about Y-Axis) to evaluate the Maximum Stress, The Maximum Stress in Unsymmetrical Bending formula is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain. Maximum Stress is denoted by f_Max symbol.

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

FAQs on Maximum Stress in Unsymmetrical Bending

What is the formula to find Maximum Stress in Unsymmetrical Bending?

The formula of Maximum Stress in Unsymmetrical Bending is expressed as Maximum Stress = ((Bending Moment about X-Axis*Distance from Point to XX Axis)/Moment of Inertia about X-Axis)+((Bending Moment about Y-Axis*Distance from Point to YY Axis)/Moment of Inertia about Y-Axis). Here is an example- 1430.54 = ((239*0.169)/51)+((307*0.104)/50).

How to calculate Maximum Stress in Unsymmetrical Bending?

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

Can the Maximum Stress in Unsymmetrical Bending be negative?

No, the Maximum Stress in Unsymmetrical Bending, measured in Pressure cannot be negative.

Which unit is used to measure Maximum Stress in Unsymmetrical Bending?

Maximum Stress in Unsymmetrical Bending is usually measured using the Newton per Square Meter[N/m²] for Pressure. Pascal[N/m²], Kilopascal[N/m²], Bar[N/m²] are the few other units in which Maximum Stress in Unsymmetrical Bending can be measured.

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Maximum Stress in Unsymmetrical Bending Formula

Maximum Stress in Unsymmetrical Bending Example

Maximum Stress in Unsymmetrical Bending Solution

Maximum Stress in Unsymmetrical Bending Formula Elements

Other formulas in Unsymmetrical Bending category

How to Evaluate Maximum Stress in Unsymmetrical Bending?

FAQs on Maximum Stress in Unsymmetrical Bending

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