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Extreme Fiber Stress in Bending for Rectangular Timber Beam Formula

GoExtreme Fiber Stress for Rectangular Timber Beam given Section Modulus Formula

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Maximum Fiber Stress can be described as the Maximum tensile or compressive stress in a homogeneous flexure or torsion test specimen. maximum fiber stress occurs at mid-span. Check FAQs

f s = \frac{6 \cdot M}{b \cdot h^{2}}

f_s - Maximum Fiber Stress?M - Bending Moment?b - Width of Beam?h - Depth of Beam?

Extreme Fiber Stress in Bending for Rectangular Timber Beam Example

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Here is how the Extreme Fiber Stress in Bending for Rectangular Timber Beam equation looks like with Values.

Here is how the Extreme Fiber Stress in Bending for Rectangular Timber Beam equation looks like with Units.

Here is how the Extreme Fiber Stress in Bending for Rectangular Timber Beam equation looks like.

2.7778 = \frac{6 \cdot 2500}{135 \cdot 200^{2}}

2.7778MPa = \frac{6 \cdot 2500N*m}{135mm \cdot {200mm}^{2}}

2.7778 = \frac{6 \cdot 2500}{135 \cdot 200^{2}}

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Extreme Fiber Stress in Bending for Rectangular Timber Beam Solution

Follow our step by step solution on how to calculate Extreme Fiber Stress in Bending for Rectangular Timber Beam?

FIRST Step Consider the formula

f s = \frac{6 \cdot M}{b \cdot h^{2}}

Next Step Substitute values of Variables

∴

f s = \frac{6 \cdot 2500N*m}{135mm \cdot {200mm}^{2}}

Next Step Convert Units

∴

f s = \frac{6 \cdot 2500N*m}{0.135m \cdot {0.2m}^{2}}

Next Step Prepare to Evaluate

∴

f s = \frac{6 \cdot 2500}{0.135 \cdot {0.2}^{2}}

Next Step Evaluate

∴

f s = 2777777.77777778Pa

Next Step Convert to Output's Unit

∴

f s = 2.77777777777778MPa

LAST Step Rounding Answer

∴

f s = 2.7778MPa

Extreme Fiber Stress in Bending for Rectangular Timber Beam Formula Elements

Variables

Maximum Fiber Stress

Maximum Fiber Stress can be described as the Maximum tensile or compressive stress in a homogeneous flexure or torsion test specimen. maximum fiber stress occurs at mid-span.

Symbol: f_s

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Maximum Fiber Stress

Bending Moment

Bending moment is the sum of the moments of that section of all external forces acting on one side of that section.

Symbol: M

Measurement: Moment of ForceUnit: N*m

Note: Value should be greater than 0.

Formulas to find Bending Moment

Width of Beam

The width of beam is the beam width from edge to edge.

Symbol: b

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 distance between the uppermost deck and the bottom of the keel, measured at the middle of the overall length.

Symbol: h

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Beam

Other Formulas to find Maximum Fiber Stress

Go Extreme Fiber Stress for Rectangular Timber Beam given Section Modulus

f s = \frac{M}{S}

Other formulas in Beams category

Go Section Modulus given Height and Breadth of Section

S = \frac{b \cdot h^{2}}{6}

Go Bending Moment using Extreme Fiber Stress for Rectangular Timber Beam

M = \frac{f s \cdot b \cdot {(h)}^{2}}{6}

Go Beam Width given Extreme Fiber Stress for Rectangular Timber Beam

b = \frac{6 \cdot M}{f s \cdot {(h)}^{2}}

Go Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam

h = \sqrt{\frac{6 \cdot M}{f s \cdot b}}

How to Evaluate Extreme Fiber Stress in Bending for Rectangular Timber Beam?

Extreme Fiber Stress in Bending for Rectangular Timber Beam evaluator uses Maximum Fiber Stress = (6*Bending Moment)/(Width of Beam*Depth of Beam^2) to evaluate the Maximum Fiber Stress, The Extreme Fiber Stress in Bending for Rectangular Timber Beam formula is defined as the stress induced in an extreme fiber of a structural member subjected to bending. Maximum Fiber Stress is denoted by f_s symbol.

How to evaluate Extreme Fiber Stress in Bending for Rectangular Timber Beam using this online evaluator? To use this online evaluator for Extreme Fiber Stress in Bending for Rectangular Timber Beam, enter Bending Moment (M), Width of Beam (b) & Depth of Beam (h) and hit the calculate button.

FAQs on Extreme Fiber Stress in Bending for Rectangular Timber Beam

What is the formula to find Extreme Fiber Stress in Bending for Rectangular Timber Beam?

The formula of Extreme Fiber Stress in Bending for Rectangular Timber Beam is expressed as Maximum Fiber Stress = (6*Bending Moment)/(Width of Beam*Depth of Beam^2). Here is an example- 2.8E-6 = (6*2500)/(0.135*0.2^2).

How to calculate Extreme Fiber Stress in Bending for Rectangular Timber Beam?

With Bending Moment (M), Width of Beam (b) & Depth of Beam (h) we can find Extreme Fiber Stress in Bending for Rectangular Timber Beam using the formula - Maximum Fiber Stress = (6*Bending Moment)/(Width of Beam*Depth of Beam^2).

What are the other ways to Calculate Maximum Fiber Stress?

Here are the different ways to Calculate Maximum Fiber Stress-

Maximum Fiber Stress=Bending Moment/Section Modulus

Can the Extreme Fiber Stress in Bending for Rectangular Timber Beam be negative?

No, the Extreme Fiber Stress in Bending for Rectangular Timber Beam, measured in Pressure cannot be negative.

Which unit is used to measure Extreme Fiber Stress in Bending for Rectangular Timber Beam?

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

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Extreme Fiber Stress in Bending for Rectangular Timber Beam Formula

​GoExtreme Fiber Stress for Rectangular Timber Beam given Section Modulus Formula

Extreme Fiber Stress in Bending for Rectangular Timber Beam Example

Extreme Fiber Stress in Bending for Rectangular Timber Beam Solution

Extreme Fiber Stress in Bending for Rectangular Timber Beam Formula Elements

Other Formulas to find Maximum Fiber Stress

Other formulas in Beams category

How to Evaluate Extreme Fiber Stress in Bending for Rectangular Timber Beam?

FAQs on Extreme Fiber Stress in Bending for Rectangular Timber Beam

Variable Name

GoExtreme Fiber Stress for Rectangular Timber Beam given Section Modulus Formula