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Beam Width for Uniform Strength in Bending Stress Formula

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

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

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

Beam Width for Uniform Strength in Bending Stress Example

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With units

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Here is how the Beam Width for Uniform Strength in Bending Stress equation looks like with Values.

Here is how the Beam Width for Uniform Strength in Bending Stress equation looks like with Units.

Here is how the Beam Width for Uniform Strength in Bending Stress equation looks like.

312.5 = 3 \cdot 50 \cdot \frac{5000}{2 \cdot 120 \cdot 100^{2}}

312.5mm = 3 \cdot 50kN \cdot \frac{5000mm}{2 \cdot 120MPa \cdot {100mm}^{2}}

312.5 = 3 \cdot 50 \cdot \frac{5000}{2 \cdot 120 \cdot 100^{2}}

Tip: Use pencil () icon above to edit Input Values and Units.

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Home » Engineering » Civil » Strength of Materials » Beam Width for Uniform Strength in Bending Stress

Beam Width for Uniform Strength in Bending Stress Solution

Follow our step by step solution on how to calculate Beam Width for Uniform Strength in Bending Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b Beam = 3 \cdot 50kN \cdot \frac{5000mm}{2 \cdot 120MPa \cdot {100mm}^{2}}

Next Step Convert Units

∴

b Beam = 3 \cdot 50000N \cdot \frac{5000mm}{2 \cdot 120MPa \cdot {100mm}^{2}}

Next Step Prepare to Evaluate

∴

b Beam = 3 \cdot 50000 \cdot \frac{5000}{2 \cdot 120 \cdot 100^{2}}

Next Step Evaluate

∴

b Beam = 0.3125m

LAST Step Convert to Output's Unit

∴

b Beam = 312.5mm

Beam Width for Uniform Strength in Bending Stress Formula Elements

Variables

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.

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.

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.

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.

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.

Credits

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Created by Rachana B V

The National Institute of Engineering (NIE), Mysuru

Rachana B V has created this Formula and 25+ more formulas!

Verifier Image

Verified by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

Ayush Singh has verified this Formula and 100+ more formulas!

Other formulas in Section Modulus for Various Shapes category

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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}

See More

How to Evaluate Beam Width for Uniform Strength in Bending Stress?

Beam Width for Uniform Strength in Bending Stress evaluator uses Width of Beam = 3*Load on Beam*Length of Beam/(2*Allowable Bending Stress*Depth of Beam^2) to evaluate the Width of Beam, The Beam Width for Uniform Strength in Bending Stress formula is defined as the required width ensuring consistent stress distribution under applied load. Width of Beam is denoted by b_Beam symbol.

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

FAQs on Beam Width for Uniform Strength in Bending Stress

What is the formula to find Beam Width for Uniform Strength in Bending Stress?

The formula of Beam Width for Uniform Strength in Bending Stress is expressed as Width of Beam = 3*Load on Beam*Length of Beam/(2*Allowable Bending Stress*Depth of Beam^2). Here is an example- 31250 = 3*50*5/(2*120000000*0.1^2).

How to calculate Beam Width for Uniform Strength in Bending Stress?

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

Can the Beam Width for Uniform Strength in Bending Stress be negative?

No, the Beam Width for Uniform Strength in Bending Stress, measured in Length cannot be negative.

Which unit is used to measure Beam Width for Uniform Strength in Bending Stress?

Beam Width for Uniform Strength in Bending Stress is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Beam Width for Uniform Strength in Bending Stress can be measured.

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