FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Average Shear Stress for Rectangular Section Formula

GoAverage Shear Stress given Maximum Shear Stress for Rectangular Section Formula

Fx Copy

LaTeX Copy

Average shear stress on beam is the internal shear stress caused by the shear force applied to the beam. Check FAQs

𝜏 avg = \frac{V}{b \cdot d}

𝜏_avg - Average Shear Stress on Beam?V - Shear Force on Beam?b - Beam Width at Considered Level?d - Depth of Rectangular Section?

Average Shear Stress for Rectangular Section Example

With values

With units

Only example

Here is how the Average Shear Stress for Rectangular Section equation looks like with Values.

Here is how the Average Shear Stress for Rectangular Section equation looks like with Units.

Here is how the Average Shear Stress for Rectangular Section equation looks like.

0.1773 = \frac{4.8}{95 \cdot 285}

0.1773MPa = \frac{4.8kN}{95mm \cdot 285mm}

0.1773 = \frac{4.8}{95 \cdot 285}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Average Shear Stress for Rectangular Section

Average Shear Stress for Rectangular Section Solution

Follow our step by step solution on how to calculate Average Shear Stress for Rectangular Section?

FIRST Step Consider the formula

𝜏 avg = \frac{V}{b \cdot d}

Next Step Substitute values of Variables

∴

𝜏 avg = \frac{4.8kN}{95mm \cdot 285mm}

Next Step Convert Units

∴

𝜏 avg = \frac{4800N}{0.095m \cdot 0.285m}

Next Step Prepare to Evaluate

∴

𝜏 avg = \frac{4800}{0.095 \cdot 0.285}

Next Step Evaluate

∴

𝜏 avg = 177285.318559557Pa

Next Step Convert to Output's Unit

∴

𝜏 avg = 0.177285318559557MPa

LAST Step Rounding Answer

∴

𝜏 avg = 0.1773MPa

Average Shear Stress for Rectangular Section Formula Elements

Variables

Average Shear Stress on Beam

Average shear stress on beam is the internal shear stress caused by the shear force applied to the beam.

Symbol: 𝜏_avg

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Average Shear Stress on Beam

Shear Force on Beam

Shear Force on Beam refers to the internal force that acts parallel to the cross-section of the beam is the result of external loads, reactions at supports, and the beam’s own weight.

Symbol: V

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Shear Force on Beam

Beam Width at Considered Level

Beam width at considered level refers to the width of the beam’s cross-section at the point where shear stress or other forces are being analyzed.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Beam Width at Considered Level

Depth of Rectangular Section

Depth of rectangular section is the vertical dimension of the cross-section of the beam helps in calculating various stresses and ensuring the structural integrity of the beam.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Rectangular Section

Other Formulas to find Average Shear Stress on Beam

Go Average Shear Stress given Maximum Shear Stress for Rectangular Section

𝜏 avg = \frac{2}{3} \cdot 𝜏 max

Other formulas in Shear Stress in Rectangular Section category

Go Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section

ȳ = \frac{1}{2} \cdot (σ + \frac{d}{2})

Go Distance of Considered Level from Neutral Axis for Rectangular Section

σ = 2 \cdot (ȳ - \frac{d}{4})

Go Shear Stress for Rectangular Section

𝜏 = \frac{V}{2 \cdot I} \cdot (\frac{d^{2}}{4} - σ^{2})

Go Shear Force for Rectangular Section

V = \frac{2 \cdot I \cdot 𝜏}{\frac{d^{2}}{4} - σ^{2}}

How to Evaluate Average Shear Stress for Rectangular Section?

Average Shear Stress for Rectangular Section evaluator uses Average Shear Stress on Beam = Shear Force on Beam/(Beam Width at Considered Level*Depth of Rectangular Section) to evaluate the Average Shear Stress on Beam, Average Shear Stress for Rectangular Section formula is defined as a measure of the average shear stress experienced by a rectangular section, which is a critical parameter in understanding the structural integrity and deformation of rectangular beams under various loads. Average Shear Stress on Beam is denoted by 𝜏_avg symbol.

How to evaluate Average Shear Stress for Rectangular Section using this online evaluator? To use this online evaluator for Average Shear Stress for Rectangular Section, enter Shear Force on Beam (V), Beam Width at Considered Level (b) & Depth of Rectangular Section (d) and hit the calculate button.

FAQs on Average Shear Stress for Rectangular Section

What is the formula to find Average Shear Stress for Rectangular Section?

The formula of Average Shear Stress for Rectangular Section is expressed as Average Shear Stress on Beam = Shear Force on Beam/(Beam Width at Considered Level*Depth of Rectangular Section). Here is an example- 1.8E-7 = 4800/(0.095*0.285).

How to calculate Average Shear Stress for Rectangular Section?

With Shear Force on Beam (V), Beam Width at Considered Level (b) & Depth of Rectangular Section (d) we can find Average Shear Stress for Rectangular Section using the formula - Average Shear Stress on Beam = Shear Force on Beam/(Beam Width at Considered Level*Depth of Rectangular Section).

What are the other ways to Calculate Average Shear Stress on Beam?

Here are the different ways to Calculate Average Shear Stress on Beam-

Average Shear Stress on Beam=2/3*Maximum Shear Stress on Beam

Can the Average Shear Stress for Rectangular Section be negative?

No, the Average Shear Stress for Rectangular Section, measured in Pressure cannot be negative.

Which unit is used to measure Average Shear Stress for Rectangular Section?

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

Let Others Know

✖

Facebook

Twitter

Copied!

Average Shear Stress for Rectangular Section Formula

​GoAverage Shear Stress given Maximum Shear Stress for Rectangular Section Formula

Average Shear Stress for Rectangular Section Example

Average Shear Stress for Rectangular Section Solution

Average Shear Stress for Rectangular Section Formula Elements

Other Formulas to find Average Shear Stress on Beam

Other formulas in Shear Stress in Rectangular Section category

How to Evaluate Average Shear Stress for Rectangular Section?

FAQs on Average Shear Stress for Rectangular Section

Variable Name

GoAverage Shear Stress given Maximum Shear Stress for Rectangular Section Formula