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

STEP 0: Pre-Calculation Summary
Formula Used
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)
ȳ = (𝜏section*I*w)/(S*Aabv)
This formula uses 6 Variables
Variables Used
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Shear stress at section: 0.005 Megapascal --> 5000 Pascal (Check conversion here)
Moment of Inertia of Area of Section: 0.00168 Meter⁴ --> 0.00168 Meter⁴ No Conversion Required
Beam Width at Considered Level: 95 Millimeter --> 0.095 Meter (Check conversion here)
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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ȳ = (𝜏section*I*w)/(S*Aabv) --> (5000*0.00168*0.095)/(4900*0.0064)
Evaluating ... ...
ȳ = 0.0254464285714286
STEP 3: Convert Result to Output's Unit
0.0254464285714286 Meter -->25.4464285714286 Millimeter (Check conversion here)
FINAL ANSWER
25.4464285714286 25.44643 Millimeter <-- Distance of CG of Area from NA
(Calculation completed in 00.004 seconds)

Credits

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

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

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)
ȳ = (𝜏section*I*w)/(S*Aabv)

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

Distance of Center of Gravity of Area (above Considered Level) from Neutral Axis calculator uses 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) to calculate the Distance of CG of Area from NA, Distance of Center of Gravity of Area (above Considered Level) from Neutral Axis is defined as numerical measurement of how far apart objects or points are. Distance of CG of Area from NA is denoted by ȳ symbol.

How to calculate Distance of Center of Gravity of Area (above Considered Level) from Neutral Axis using this online calculator? To use this online calculator for Distance of Center of Gravity of Area (above Considered Level) from Neutral Axis, enter Shear stress at section (𝜏section), Moment of Inertia of Area of Section (I), Beam Width at Considered Level (w), Shear Force at Section (S) & Area of Section above Considered Level (Aabv) and hit the calculate button. Here is how the Distance of Center of Gravity of Area (above Considered Level) from Neutral Axis calculation can be explained with given input values -> 25446.43 = (5000*0.00168*0.095)/(4900*0.0064).

FAQ

What is Distance of Center of Gravity of Area (above Considered Level) from Neutral Axis?
Distance of Center of Gravity of Area (above Considered Level) from Neutral Axis is defined as numerical measurement of how far apart objects or points are and is represented as ȳ = (𝜏section*I*w)/(S*Aabv) or 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). 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, Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis, Beam Width at Considered Level is the description of how wide the beam is at that level, 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.
How to calculate Distance of Center of Gravity of Area (above Considered Level) from Neutral Axis?
Distance of Center of Gravity of Area (above Considered Level) from Neutral Axis is defined as numerical measurement of how far apart objects or points are is calculated using 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). To calculate Distance of Center of Gravity of Area (above Considered Level) from Neutral Axis, you need Shear stress at section (𝜏section), Moment of Inertia of Area of Section (I), Beam Width at Considered Level (w), Shear Force at Section (S) & Area of Section above Considered Level (Aabv). With our tool, you need to enter the respective value for 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 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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