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Beam Depth given Horizontal Shearing Stress Formula

GoBeam Depth for Extreme Fiber Stress in Rectangular Timber Beam 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 = \frac{3 \cdot V}{2 \cdot b \cdot H}

h - Depth of Beam?V - Total Shear?b - Width of Beam?H - Horizontal Shearing Stress?

Beam Depth given Horizontal Shearing Stress Example

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Here is how the Beam Depth given Horizontal Shearing Stress equation looks like with Values.

Here is how the Beam Depth given Horizontal Shearing Stress equation looks like with Units.

Here is how the Beam Depth given Horizontal Shearing Stress equation looks like.

199.9818 = \frac{3 \cdot 660000}{2 \cdot 135 \cdot 36.67}

199.9818mm = \frac{3 \cdot 660000N}{2 \cdot 135mm \cdot 36.67MPa}

199.9818 = \frac{3 \cdot 660000}{2 \cdot 135 \cdot 36.67}

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Beam Depth given Horizontal Shearing Stress Solution

Follow our step by step solution on how to calculate Beam Depth given Horizontal Shearing Stress?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{3 \cdot 660000N}{2 \cdot 135mm \cdot 36.67MPa}

Next Step Convert Units

∴

h = \frac{3 \cdot 660000N}{2 \cdot 0.135m \cdot 3.7E+7Pa}

Next Step Prepare to Evaluate

∴

h = \frac{3 \cdot 660000}{2 \cdot 0.135 \cdot 3.7E+7}

Next Step Evaluate

∴

h = 0.19998181983456m

Next Step Convert to Output's Unit

∴

h = 199.98181983456mm

LAST Step Rounding Answer

∴

h = 199.9818mm

Beam Depth given Horizontal Shearing Stress Formula Elements

Variables

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

Total Shear

Total Shear is defined as the total shear force acting on the body.

Symbol: V

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Total Shear

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

Horizontal Shearing Stress

Horizontal Shearing Stress is defined as all the forces induced(bending moment, shear stress) in the upper part of the section.

Symbol: H

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Horizontal Shearing Stress

Other Formulas to find Depth of Beam

Go Beam Depth for Extreme Fiber Stress in Rectangular Timber Beam

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

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 given Horizontal Shearing Stress?

Beam Depth given Horizontal Shearing Stress evaluator uses Depth of Beam = (3*Total Shear)/(2*Width of Beam*Horizontal Shearing Stress) to evaluate the Depth of Beam, The Beam Depth given Horizontal Shearing Stress is defined as the height of the beam in a given section when horizontal shearing stress is induced. Depth of Beam is denoted by h symbol.

How to evaluate Beam Depth given Horizontal Shearing Stress using this online evaluator? To use this online evaluator for Beam Depth given Horizontal Shearing Stress, enter Total Shear (V), Width of Beam (b) & Horizontal Shearing Stress (H) and hit the calculate button.

FAQs on Beam Depth given Horizontal Shearing Stress

What is the formula to find Beam Depth given Horizontal Shearing Stress?

The formula of Beam Depth given Horizontal Shearing Stress is expressed as Depth of Beam = (3*Total Shear)/(2*Width of Beam*Horizontal Shearing Stress). Here is an example- 199981.8 = (3*660000)/(2*0.135*36670000).

How to calculate Beam Depth given Horizontal Shearing Stress?

With Total Shear (V), Width of Beam (b) & Horizontal Shearing Stress (H) we can find Beam Depth given Horizontal Shearing Stress using the formula - Depth of Beam = (3*Total Shear)/(2*Width of Beam*Horizontal Shearing Stress).

What are the other ways to Calculate Depth of Beam?

Here are the different ways to Calculate Depth of Beam-

Depth of Beam=sqrt((6*Bending Moment)/(Maximum Fiber Stress*Width of Beam))

Can the Beam Depth given Horizontal Shearing Stress be negative?

No, the Beam Depth given Horizontal Shearing Stress, measured in Length cannot be negative.

Which unit is used to measure Beam Depth given Horizontal Shearing Stress?

Beam Depth given Horizontal Shearing Stress is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Beam Depth given Horizontal Shearing Stress can be measured.

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Beam Depth given Horizontal Shearing Stress Formula

​GoBeam Depth for Extreme Fiber Stress in Rectangular Timber Beam Formula

Beam Depth given Horizontal Shearing Stress Example

Beam Depth given Horizontal Shearing Stress Solution

Beam Depth given Horizontal Shearing Stress Formula Elements

Other Formulas to find Depth of Beam

Other formulas in Beams category

How to Evaluate Beam Depth given Horizontal Shearing Stress?

FAQs on Beam Depth given Horizontal Shearing Stress

Variable Name

GoBeam Depth for Extreme Fiber Stress in Rectangular Timber Beam Formula