Width of Beam at Considered Level Calculator

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Shear Stress In Beam

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Shear Stress at a Section

Shear Stress Distribution for Different Sections

✖Shear Force at Section is the force that causes shear deformation to occur in the shear plane.ⓘ Shear Force at Section [S]			+10% -10%
✖Area of Section above Considered Level can be defined as the space occupied by a flat shape or the surface of an object.ⓘ Area of Section above Considered Level [A_abv]			+10% -10%
✖Distance of CG of area from NA is a numerical measurement of how far apart objects or points are.ⓘ Distance of CG of Area from NA [ȳ]			+10% -10%
✖Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis.ⓘ Moment of Inertia of Area of Section [I]			+10% -10%
✖Shear stress at section is a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear stress at section [𝜏_section]			+10% -10%

✖Beam Width at Considered Level is the description of how wide the beam is at that level.ⓘ Width of Beam at Considered Level [w]

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Formula

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Width of Beam at Considered Level

Formula

`"w" = ("S"*"A"_{"abv"}*"ȳ")/("I"*"𝜏"_{"section"})`

Example

`"306.1333mm"=("4.9kN"*"6400mm²"*"82mm")/("0.00168m⁴"*"0.005MPa")`

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Download Shear Stress In Beam Formula PDF

Width of Beam at Considered Level Solution

STEP 0: Pre-Calculation Summary

Formula Used

Beam Width at Considered Level = (Shear Force at Section*Area of Section above Considered Level*Distance of CG of Area from NA)/(Moment of Inertia of Area of Section*Shear stress at section)
w = (S*A_abv*ȳ)/(I*𝜏_section)
This formula uses 6 Variables

Variables Used

Beam Width at Considered Level - (Measured in Meter) - Beam Width at Considered Level is the description of how wide the beam is at that level.
Shear Force at Section - (Measured in Newton) - Shear Force at Section is the force that causes shear deformation to occur in the shear plane.
Area of Section above Considered Level - (Measured in Square Meter) - Area of Section above Considered Level can be defined as the space occupied by a flat shape or the surface of an object.
Distance of CG of Area from NA - (Measured in Meter) - Distance of CG of area from NA is a numerical measurement of how far apart objects or points are.
Moment of Inertia of Area of Section - (Measured in Meter⁴) - Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis.
Shear stress at section - (Measured in Pascal) - Shear stress at section is a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

STEP 1: Convert Input(s) to Base Unit

Shear Force at Section: 4.9 Kilonewton --> 4900 Newton (Check conversion here)
Area of Section above Considered Level: 6400 Square Millimeter --> 0.0064 Square Meter (Check conversion here)
Distance of CG of Area from NA: 82 Millimeter --> 0.082 Meter (Check conversion here)
Moment of Inertia of Area of Section: 0.00168 Meter⁴ --> 0.00168 Meter⁴ No Conversion Required
Shear stress at section: 0.005 Megapascal --> 5000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = (S*A_abv*ȳ)/(I*𝜏_section) --> (4900*0.0064*0.082)/(0.00168*5000)

Evaluating ... ...

w = 0.306133333333333

STEP 3: Convert Result to Output's Unit

0.306133333333333 Meter -->306.133333333333 Millimeter (Check conversion here)

FINAL ANSWER

306.133333333333 ≈ 306.1333 Millimeter <-- Beam Width at Considered Level

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Indian Institute of Information Technology (IIIT), Guwahati

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< 7 Shear Stress at a Section Calculators

Distance of Center of Gravity of Area (above Considered Level) from Neutral Axis

Go Distance of CG of Area from NA = (Shear stress at section*Moment of Inertia of Area of Section*Beam Width at Considered Level)/(Shear Force at Section*Area of Section above Considered Level)

Moment of Inertia of Section about Neutral Axis

Go Moment of Inertia of Area of Section = (Shear Force at Section*Area of Section above Considered Level*Distance of CG of Area from NA)/(Shear stress at section*Beam Width at Considered Level)

Area of Section above Considered Level

Go Area of Section above Considered Level = (Shear stress at section*Moment of Inertia of Area of Section*Beam Width at Considered Level)/(Shear Force at Section*Distance of CG of Area from NA)

Width of Beam at Considered Level

Go Beam Width at Considered Level = (Shear Force at Section*Area of Section above Considered Level*Distance of CG of Area from NA)/(Moment of Inertia of Area of Section*Shear stress at section)

Shear Stress at Section

Go Shear stress at section = (Shear Force at Section*Area of Section above Considered Level*Distance of CG of Area from NA)/(Moment of Inertia of Area of Section*Beam Width at Considered Level)

Shear Force at Section

Go Shear Force at Section = (Shear stress at section*Moment of Inertia of Area of Section*Beam Width at Considered Level)/(Area of Section above Considered Level*Distance of CG of Area from NA)

Shear Force at Section given Shear Area

Go Shear Force at Section = Shear stress at section*Shear Area of beam

Width of Beam at Considered Level Formula

What is shear stress and strain?

Shear strain is the deformation of an object or medium under shear stress. The shear modulus is the elastic modulus in this case. Shear stress is caused by forces acting along the object's two parallel surfaces.

How to Calculate Width of Beam at Considered Level?

Width of Beam at Considered Level calculator uses Beam Width at Considered Level = (Shear Force at Section*Area of Section above Considered Level*Distance of CG of Area from NA)/(Moment of Inertia of Area of Section*Shear stress at section) to calculate the Beam Width at Considered Level, The Width of beam at considered level formula is defined as how wide the beam is at that considered level. Beam Width at Considered Level is denoted by w symbol.

How to calculate Width of Beam at Considered Level using this online calculator? To use this online calculator for Width of Beam at Considered Level, enter Shear Force at Section (S), Area of Section above Considered Level (A_abv), Distance of CG of Area from NA (ȳ), Moment of Inertia of Area of Section (I) & Shear stress at section (𝜏_section) and hit the calculate button. Here is how the Width of Beam at Considered Level calculation can be explained with given input values -> 93333.33 = (4900*0.0064*0.082)/(0.00168*5000).

FAQ

What is Width of Beam at Considered Level?

The Width of beam at considered level formula is defined as how wide the beam is at that considered level and is represented as w = (S*A_abv*ȳ)/(I*𝜏_section) or Beam Width at Considered Level = (Shear Force at Section*Area of Section above Considered Level*Distance of CG of Area from NA)/(Moment of Inertia of Area of Section*Shear stress at section). Shear Force at Section is the force that causes shear deformation to occur in the shear plane, Area of Section above Considered Level can be defined as the space occupied by a flat shape or the surface of an object, Distance of CG of area from NA is a numerical measurement of how far apart objects or points are, Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis & Shear stress at section is a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

How to calculate Width of Beam at Considered Level?

The Width of beam at considered level formula is defined as how wide the beam is at that considered level is calculated using Beam Width at Considered Level = (Shear Force at Section*Area of Section above Considered Level*Distance of CG of Area from NA)/(Moment of Inertia of Area of Section*Shear stress at section). To calculate Width of Beam at Considered Level, you need Shear Force at Section (S), Area of Section above Considered Level (A_abv), Distance of CG of Area from NA (ȳ), Moment of Inertia of Area of Section (I) & Shear stress at section (𝜏_section). With our tool, you need to enter the respective value for Shear Force at Section, Area of Section above Considered Level, Distance of CG of Area from NA, Moment of Inertia of Area of Section & Shear stress at section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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