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Allowable Bending Stress Formula

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Allowable Bending Stress is the maximum stress a material can endure without exceeding its elastic limit under bending deformation. Check FAQs

f = 3 \cdot w \cdot \frac{L}{2 \cdot b Beam \cdot {d Beam}^{2}}

f - Allowable Bending Stress?w - Load on Beam?L - Length of Beam?b_Beam - Width of Beam?d_Beam - Depth of Beam?

Allowable Bending Stress Example

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With units

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

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

Here is how the Allowable Bending Stress equation looks like.

120.1923 = 3 \cdot 50 \cdot \frac{5000}{2 \cdot 312 \cdot 100^{2}}

120.1923MPa = 3 \cdot 50kN \cdot \frac{5000mm}{2 \cdot 312mm \cdot {100mm}^{2}}

120.1923 = 3 \cdot 50 \cdot \frac{5000}{2 \cdot 312 \cdot 100^{2}}

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Allowable Bending Stress Solution

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

FIRST Step Consider the formula

f = 3 \cdot w \cdot \frac{L}{2 \cdot b Beam \cdot {d Beam}^{2}}

Next Step Substitute values of Variables

∴

f = 3 \cdot 50kN \cdot \frac{5000mm}{2 \cdot 312mm \cdot {100mm}^{2}}

Next Step Convert Units

∴

f = 3 \cdot 50000N \cdot \frac{5m}{2 \cdot 0.312m \cdot {0.1m}^{2}}

Next Step Prepare to Evaluate

∴

f = 3 \cdot 50000 \cdot \frac{5}{2 \cdot 0.312 \cdot {0.1}^{2}}

Next Step Evaluate

∴

f = 120192307.692308Pa

Next Step Convert to Output's Unit

∴

f = 120.192307692308MPa

LAST Step Rounding Answer

∴

f = 120.1923MPa

Allowable Bending Stress Formula Elements

Variables

Allowable Bending Stress

Allowable Bending Stress is the maximum stress a material can endure without exceeding its elastic limit under bending deformation.

Symbol: f

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Allowable Bending Stress

Load on Beam

Load on Beam is the external force or weight applied to the beam, potentially causing deformation or stress.

Symbol: w

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Load on Beam

Length of Beam

Length of Beam is the dimension that measures the span or extent along the longitudinal axis, from one end to another.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Beam

Width of Beam

Width of Beam is the horizontal dimension between its opposite surfaces or edges, perpendicular to its depth and length.

Symbol: b_Beam

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Beam

Depth of Beam

Depth of Beam is the vertical measurement between its upper and lower surfaces, perpendicular to its length and width.

Symbol: d_Beam

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Beam

Other formulas in Section Modulus for Various Shapes category

Go Section Modulus of Rectangular Shape

Z = \frac{b \cdot d^{2}}{6}

Go Breadth of Rectangular Shape given Section Modulus

b = \frac{6 \cdot Z}{d^{2}}

Go Depth of Rectangular Shape given Section Modulus

d = \sqrt{\frac{6 \cdot Z}{b}}

Go Section Modulus of Hollow Rectangular Shape

Z = \frac{(B o \cdot {D o}^{3}) - (B i \cdot {D i}^{3})}{6 \cdot D o}

How to Evaluate Allowable Bending Stress?

Allowable Bending Stress evaluator uses Allowable Bending Stress = 3*Load on Beam*Length of Beam/(2*Width of Beam*Depth of Beam^2) to evaluate the Allowable Bending Stress, The Allowable Bending Stress formula is defined as the maximum stress a material can sustain without permanent deformation, ensuring structural safety and integrity. Allowable Bending Stress is denoted by f symbol.

How to evaluate Allowable Bending Stress using this online evaluator? To use this online evaluator for Allowable Bending Stress, enter Load on Beam (w), Length of Beam (L), Width of Beam (b_Beam) & Depth of Beam (d_Beam) and hit the calculate button.

FAQs on Allowable Bending Stress

What is the formula to find Allowable Bending Stress?

The formula of Allowable Bending Stress is expressed as Allowable Bending Stress = 3*Load on Beam*Length of Beam/(2*Width of Beam*Depth of Beam^2). Here is an example- 1.2E-5 = 3*50*5/(2*0.312*0.1^2).

How to calculate Allowable Bending Stress?

With Load on Beam (w), Length of Beam (L), Width of Beam (b_Beam) & Depth of Beam (d_Beam) we can find Allowable Bending Stress using the formula - Allowable Bending Stress = 3*Load on Beam*Length of Beam/(2*Width of Beam*Depth of Beam^2).

Can the Allowable Bending Stress be negative?

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

Which unit is used to measure Allowable Bending Stress?

Allowable Bending Stress is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Allowable Bending Stress can be measured.

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Allowable Bending Stress Formula

Allowable Bending Stress Example

Allowable Bending Stress Solution

Allowable Bending Stress Formula Elements

Other formulas in Section Modulus for Various Shapes category

How to Evaluate Allowable Bending Stress?

FAQs on Allowable Bending Stress

Variable Name