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Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam Formula

GoBeam Depth given Horizontal Shearing Stress Formula

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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. Check FAQs

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

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

Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam Example

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

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

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

199.92 = \sqrt{\frac{6 \cdot 2500}{2.78 \cdot 135}}

199.92mm = \sqrt{\frac{6 \cdot 2500N*m}{2.78MPa \cdot 135mm}}

199.92 = \sqrt{\frac{6 \cdot 2500}{2.78 \cdot 135}}

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Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{\frac{6 \cdot 2500N*m}{2.78MPa \cdot 135mm}}

Next Step Convert Units

∴

h = \sqrt{\frac{6 \cdot 2500N*m}{2.8E+6Pa \cdot 0.135m}}

Next Step Prepare to Evaluate

∴

h = \sqrt{\frac{6 \cdot 2500}{2.8E+6 \cdot 0.135}}

Next Step Evaluate

∴

h = 0.199920047968022m

Next Step Convert to Output's Unit

∴

h = 199.920047968022mm

LAST Step Rounding Answer

∴

h = 199.92mm

Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam Formula Elements

Variables

Functions

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

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Depth of Beam

Go Beam Depth given Horizontal Shearing Stress

h = \frac{3 \cdot V}{2 \cdot b \cdot H}

Other formulas in Beams category

Go Extreme Fiber Stress in Bending for Rectangular Timber Beam

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

Go Extreme Fiber Stress for Rectangular Timber Beam given Section Modulus

f s = \frac{M}{S}

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}

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

Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam evaluator uses Depth of Beam = sqrt((6*Bending Moment)/(Maximum Fiber Stress*Width of Beam)) to evaluate the Depth of Beam, The Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam is defined as the depth in an extreme fiber of a rectangular timber beam when subjected to bending. Depth of Beam is denoted by h symbol.

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

FAQs on Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam

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

The formula of Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam is expressed as Depth of Beam = sqrt((6*Bending Moment)/(Maximum Fiber Stress*Width of Beam)). Here is an example- 199920 = sqrt((6*2500)/(2780000*0.135)).

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

With Bending Moment (M), Maximum Fiber Stress (f_s) & Width of Beam (b) we can find Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam using the formula - Depth of Beam = sqrt((6*Bending Moment)/(Maximum Fiber Stress*Width of Beam)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Depth of Beam?

Here are the different ways to Calculate Depth of Beam-

Depth of Beam=(3*Total Shear)/(2*Width of Beam*Horizontal Shearing Stress)

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

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

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

Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam can be measured.

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Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam Formula

​GoBeam Depth given Horizontal Shearing Stress Formula

Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam Example

Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam Solution

Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam Formula Elements

Other Formulas to find Depth of Beam

Other formulas in Beams category

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

FAQs on Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam

Variable Name

GoBeam Depth given Horizontal Shearing Stress Formula