Area of Section above Considered Level Solution

STEP 0: Pre-Calculation Summary
Formula Used
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 to CG of Area from NA)
Aabove = (𝜏*I*w)/(V*ȳ)
This formula uses 6 Variables
Variables Used
Area of Section above Considered Level - (Measured in Square Meter) - Area of section above considered level is the area of a section of a beam or other structural member that is above a certain reference level, used in calculations of shear stress and bending moments.
Shear Stress at Section - (Measured in Pascal) - Shear stress at section is the internal force per unit area acting parallel to the cross-section of a material arises from shear forces, that act along the plane of the section.
Moment of Inertia of Area of Section - (Measured in Meter⁴) - Moment of inertia of area of section is a geometric property that measures how a cross-section’s area is distributed relative to an axis for predicting a beam’s resistance to bending and deflection.
Beam Width at Considered Level - (Measured in Meter) - Beam width at considered level is the width of a beam at a specific height or section along its length analyzed for the load distribution, shear forces, and bending moments within the beam.
Shear Force at Section - (Measured in Newton) - Shear force at section is the algebraic sum of all the vertical forces acting on one side of the section representing the internal force that acts parallel to the cross-section of the beam.
Distance to CG of Area from NA - (Measured in Meter) - Distance to CG of Area from NA is a distance helps in determining the distribution of stresses within a beam or any structural element.
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)
Distance to CG of Area from NA: 82 Millimeter --> 0.082 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Aabove = (𝜏*I*w)/(V*ȳ) --> (5000*0.00168*0.095)/(4900*0.082)
Evaluating ... ...
Aabove = 0.00198606271777004
STEP 3: Convert Result to Output's Unit
0.00198606271777004 Square Meter -->1986.06271777004 Square Millimeter (Check conversion ​here)
FINAL ANSWER
1986.06271777004 1986.063 Square Millimeter <-- Area of Section above Considered Level
(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur
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Shear Stress at a Section Calculators

Distance of Center of Gravity of Area (above Considered Level) from Neutral Axis
​ LaTeX ​ Go Distance to 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
​ LaTeX ​ Go Moment of Inertia of Area of Section = (Shear Force at Section*Area of Section above Considered Level*Distance to CG of Area from NA)/(Shear Stress at Section*Beam Width at Considered Level)
Width of Beam at Considered Level
​ LaTeX ​ Go Beam Width at Considered Level = (Shear Force at Section*Area of Section above Considered Level*Distance to CG of Area from NA)/(Moment of Inertia of Area of Section*Shear Stress at Section)
Shear Force at Section given Shear Area
​ LaTeX ​ Go Shear Force at Section = Shear Stress at Section*Shear Area of Beam

Area of Section above Considered Level Formula

​LaTeX ​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 to CG of Area from NA)
Aabove = (𝜏*I*w)/(V*ȳ)

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 Area of Section above Considered Level?

Area of Section above Considered Level calculator uses 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 to CG of Area from NA) to calculate the Area of Section above Considered Level, Area of Section above Considered Level formula is defined as a measure of the area above a considered level in a section, which is essential in determining the shear stress at a section, providing valuable insights into the structural integrity of a system. Area of Section above Considered Level is denoted by Aabove symbol.

How to calculate Area of Section above Considered Level using this online calculator? To use this online calculator for Area of Section above Considered Level, enter Shear Stress at Section (𝜏), Moment of Inertia of Area of Section (I), Beam Width at Considered Level (w), Shear Force at Section (V) & Distance to CG of Area from NA (ȳ) and hit the calculate button. Here is how the Area of Section above Considered Level calculation can be explained with given input values -> 2E+9 = (5000*0.00168*0.095)/(4900*0.082).

FAQ

What is Area of Section above Considered Level?
Area of Section above Considered Level formula is defined as a measure of the area above a considered level in a section, which is essential in determining the shear stress at a section, providing valuable insights into the structural integrity of a system and is represented as Aabove = (𝜏*I*w)/(V*ȳ) or 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 to CG of Area from NA). Shear stress at section is the internal force per unit area acting parallel to the cross-section of a material arises from shear forces, that act along the plane of the section, Moment of inertia of area of section is a geometric property that measures how a cross-section’s area is distributed relative to an axis for predicting a beam’s resistance to bending and deflection, Beam width at considered level is the width of a beam at a specific height or section along its length analyzed for the load distribution, shear forces, and bending moments within the beam, Shear force at section is the algebraic sum of all the vertical forces acting on one side of the section representing the internal force that acts parallel to the cross-section of the beam & Distance to CG of Area from NA is a distance helps in determining the distribution of stresses within a beam or any structural element.
How to calculate Area of Section above Considered Level?
Area of Section above Considered Level formula is defined as a measure of the area above a considered level in a section, which is essential in determining the shear stress at a section, providing valuable insights into the structural integrity of a system is calculated using 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 to CG of Area from NA). To calculate Area of Section above Considered Level, you need Shear Stress at Section (𝜏), Moment of Inertia of Area of Section (I), Beam Width at Considered Level (w), Shear Force at Section (V) & Distance to CG of Area from NA (ȳ). 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 & Distance to CG of Area from NA 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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