Shear Force at Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
S = (𝜏section*I*w)/(Aabv*ȳ)
This formula uses 6 Variables
Variables Used
Shear Force at Section - (Measured in Newton) - Shear Force at Section is the force that causes shear deformation to occur in the shear plane.
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.
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.
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)
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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = (𝜏section*I*w)/(Aabv*ȳ) --> (5000*0.00168*0.095)/(0.0064*0.082)
Evaluating ... ...
S = 1520.57926829268
STEP 3: Convert Result to Output's Unit
1520.57926829268 Newton -->1.52057926829268 Kilonewton (Check conversion here)
FINAL ANSWER
1.52057926829268 1.520579 Kilonewton <-- Shear Force at Section
(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

Shear Force at Section Formula

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)
S = (𝜏section*I*w)/(Aabv*ȳ)

What is Shear force?

Shear force is unaligned force pushing one part of a body in one specific direction, and another part of the body in the opposite direction.

How to Calculate Shear Force at Section?

Shear Force at Section calculator uses 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) to calculate the Shear Force at Section, The Shear force at section formula is defined as a force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction. Shear Force at Section is denoted by S symbol.

How to calculate Shear Force at Section using this online calculator? To use this online calculator for Shear Force at Section, enter Shear stress at section (𝜏section), Moment of Inertia of Area of Section (I), Beam Width at Considered Level (w), Area of Section above Considered Level (Aabv) & Distance of CG of Area from NA (ȳ) and hit the calculate button. Here is how the Shear Force at Section calculation can be explained with given input values -> 0.004988 = (5000*0.00168*0.095)/(0.0064*0.082).

FAQ

What is Shear Force at Section?
The Shear force at section formula is defined as a force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction and is represented as S = (𝜏section*I*w)/(Aabv*ȳ) or 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 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, 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.
How to calculate Shear Force at Section?
The Shear force at section formula is defined as a force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction is calculated using 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). To calculate Shear Force at Section, you need Shear stress at section (𝜏section), Moment of Inertia of Area of Section (I), Beam Width at Considered Level (w), Area of Section above Considered Level (Aabv) & Distance of 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, Area of Section above Considered Level & Distance of 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.
How many ways are there to calculate Shear Force at Section?
In this formula, Shear Force at Section uses 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. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Shear Force at Section = Shear stress at section*Shear Area of beam
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