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 to CG of Area from NA)/(Moment of Inertia of Area of Section*Shear Stress at Section)
w = (V*Aabove*ȳ)/(I*𝜏)
This formula uses 6 Variables
Variables Used
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.
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.
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.
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.
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.
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: 1986.063 Square Millimeter --> 0.001986063 Square Meter (Check conversion ​here)
Distance to 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 = (V*Aabove*ȳ)/(I*𝜏) --> (4900*0.001986063*0.082)/(0.00168*5000)
Evaluating ... ...
w = 0.0950000135
STEP 3: Convert Result to Output's Unit
0.0950000135 Meter -->95.0000135 Millimeter (Check conversion ​here)
FINAL ANSWER
95.0000135 95.00001 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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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

Width of Beam at Considered Level Formula

​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)
w = (V*Aabove*ȳ)/(I*𝜏)

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 to CG of Area from NA)/(Moment of Inertia of Area of Section*Shear Stress at Section) to calculate the Beam Width at Considered Level, Width of Beam at Considered Level formula is defined as the width of a beam at a specific level, which is a critical parameter in determining the structural integrity and load-carrying capacity of a beam, particularly in the context of shear stress analysis at a section. 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 (V), Area of Section above Considered Level (Aabove), Distance to CG of Area from NA (ȳ), Moment of Inertia of Area of Section (I) & Shear Stress at Section (𝜏) and hit the calculate button. Here is how the Width of Beam at Considered Level calculation can be explained with given input values -> 306133.3 = (4900*0.001986063*0.082)/(0.00168*5000).

FAQ

What is Width of Beam at Considered Level?
Width of Beam at Considered Level formula is defined as the width of a beam at a specific level, which is a critical parameter in determining the structural integrity and load-carrying capacity of a beam, particularly in the context of shear stress analysis at a section and is represented as w = (V*Aabove*ȳ)/(I*𝜏) or 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 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, 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, Distance to CG of Area from NA is a distance helps in determining the distribution of stresses within a beam or any structural element, 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 & 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.
How to calculate Width of Beam at Considered Level?
Width of Beam at Considered Level formula is defined as the width of a beam at a specific level, which is a critical parameter in determining the structural integrity and load-carrying capacity of a beam, particularly in the context of shear stress analysis at a section is calculated using 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). To calculate Width of Beam at Considered Level, you need Shear Force at Section (V), Area of Section above Considered Level (Aabove), Distance to CG of Area from NA (ȳ), Moment of Inertia of Area of Section (I) & Shear Stress at Section (𝜏). With our tool, you need to enter the respective value for 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 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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