Moment of Inertia of Rectangular Section about Neutral Axis Calculator

✖Shear Force on Beam refers to the internal force that acts parallel to the cross-section of the beam is the result of external loads, reactions at supports, and the beam’s own weight.ⓘ Shear Force on Beam [V]			+10% -10%
✖Shear stress in beam is the internal stress that arises from the application of shear force and acts parallel to the cross-section of the beam.ⓘ Shear Stress in Beam [𝜏]			+10% -10%
✖Depth of rectangular section is the vertical dimension of the cross-section of the beam helps in calculating various stresses and ensuring the structural integrity of the beam.ⓘ Depth of Rectangular Section [d]			+10% -10%
✖Distance from neutral axis in a beam is the perpendicular distance from the neutral axis to a specific point within the beam’s cross-section. It is an imaginary line where the bending stress is zero.ⓘ Distance from Neutral Axis [σ]			+10% -10%

✖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.ⓘ Moment of Inertia of Rectangular Section about Neutral Axis [I]

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Moment of Inertia of Rectangular Section about Neutral Axis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia of Area of Section = Shear Force on Beam/(2*Shear Stress in Beam)*(Depth of Rectangular Section^2/4-Distance from Neutral Axis^2)
I = V/(2*𝜏)*(d^2/4-σ^2)
This formula uses 5 Variables

Variables Used

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 Force on Beam - (Measured in Newton) - Shear Force on Beam refers to the internal force that acts parallel to the cross-section of the beam is the result of external loads, reactions at supports, and the beam’s own weight.
Shear Stress in Beam - (Measured in Pascal) - Shear stress in beam is the internal stress that arises from the application of shear force and acts parallel to the cross-section of the beam.
Depth of Rectangular Section - (Measured in Meter) - Depth of rectangular section is the vertical dimension of the cross-section of the beam helps in calculating various stresses and ensuring the structural integrity of the beam.
Distance from Neutral Axis - (Measured in Meter) - Distance from neutral axis in a beam is the perpendicular distance from the neutral axis to a specific point within the beam’s cross-section. It is an imaginary line where the bending stress is zero.

STEP 1: Convert Input(s) to Base Unit

Shear Force on Beam: 4.8 Kilonewton --> 4800 Newton (Check conversion here)
Shear Stress in Beam: 6 Megapascal --> 6000000 Pascal (Check conversion here)
Depth of Rectangular Section: 285 Millimeter --> 0.285 Meter (Check conversion here)
Distance from Neutral Axis: 5 Millimeter --> 0.005 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = V/(2*𝜏)*(d^2/4-σ^2) --> 4800/(2*6000000)*(0.285^2/4-0.005^2)

Evaluating ... ...

I = 8.1125E-06

STEP 3: Convert Result to Output's Unit

8.1125E-06 Meter⁴ --> No Conversion Required

FINAL ANSWER

8.1125E-06 ≈ 8.1E-6 Meter⁴ <-- Moment of Inertia of Area of Section

(Calculation completed in 00.004 seconds)

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< Shear Stress in Rectangular Section Calculators

Shear Stress for Rectangular Section

LaTeX Go Shear Stress in Beam = Shear Force on Beam/(2*Moment of Inertia of Area of Section)*(Depth of Rectangular Section^2/4-Distance from Neutral Axis^2)

Shear Force for Rectangular Section

LaTeX Go Shear Force on Beam = (2*Moment of Inertia of Area of Section*Shear Stress in Beam)/(Depth of Rectangular Section^2/4-Distance from Neutral Axis^2)

Distance of C.G of Area (above Considered Level) from Neutral Axis for Rectangular Section

LaTeX Go Distance to CG of Area from NA = 1/2*(Distance from Neutral Axis+Depth of Rectangular Section/2)

Distance of Considered Level from Neutral Axis for Rectangular Section

LaTeX Go Distance from Neutral Axis = 2*(Distance to CG of Area from NA-Depth of Rectangular Section/4)

Moment of Inertia of Rectangular Section about Neutral Axis Formula

LaTeX Go

Moment of Inertia of Area of Section = Shear Force on Beam/(2*Shear Stress in Beam)*(Depth of Rectangular Section^2/4-Distance from Neutral Axis^2)
I = V/(2*𝜏)*(d^2/4-σ^2)

In which section maximum shear stress position is not at the neutral axis of section?

Nevertheless, the maximum shear stress does not always occur at the neutral axis. For instance, in the case of a cross section having nonparallel sides, such as a triangular section, the maximum value of Q/b (and thus τxy) occurs at mid height, h/2, while the neutral axis is located at a distance h/3 from the base.

How to Calculate Moment of Inertia of Rectangular Section about Neutral Axis?

Moment of Inertia of Rectangular Section about Neutral Axis calculator uses Moment of Inertia of Area of Section = Shear Force on Beam/(2*Shear Stress in Beam)*(Depth of Rectangular Section^2/4-Distance from Neutral Axis^2) to calculate the Moment of Inertia of Area of Section, Moment of Inertia of Rectangular Section about Neutral Axis formula is defined as a measure of the resistance of a rectangular section to bending or twisting, which is crucial in determining the shear stress and deformation of the section under various loads. Moment of Inertia of Area of Section is denoted by I symbol.

How to calculate Moment of Inertia of Rectangular Section about Neutral Axis using this online calculator? To use this online calculator for Moment of Inertia of Rectangular Section about Neutral Axis, enter Shear Force on Beam (V), Shear Stress in Beam (𝜏), Depth of Rectangular Section (d) & Distance from Neutral Axis (σ) and hit the calculate button. Here is how the Moment of Inertia of Rectangular Section about Neutral Axis calculation can be explained with given input values -> 8.1E-6 = 4800/(2*6000000)*(0.285^2/4-0.005^2).

FAQ

What is Moment of Inertia of Rectangular Section about Neutral Axis?

Moment of Inertia of Rectangular Section about Neutral Axis formula is defined as a measure of the resistance of a rectangular section to bending or twisting, which is crucial in determining the shear stress and deformation of the section under various loads and is represented as I = V/(2*𝜏)*(d^2/4-σ^2) or Moment of Inertia of Area of Section = Shear Force on Beam/(2*Shear Stress in Beam)*(Depth of Rectangular Section^2/4-Distance from Neutral Axis^2). Shear Force on Beam refers to the internal force that acts parallel to the cross-section of the beam is the result of external loads, reactions at supports, and the beam’s own weight, Shear stress in beam is the internal stress that arises from the application of shear force and acts parallel to the cross-section of the beam, Depth of rectangular section is the vertical dimension of the cross-section of the beam helps in calculating various stresses and ensuring the structural integrity of the beam & Distance from neutral axis in a beam is the perpendicular distance from the neutral axis to a specific point within the beam’s cross-section. It is an imaginary line where the bending stress is zero.

How to calculate Moment of Inertia of Rectangular Section about Neutral Axis?

Moment of Inertia of Rectangular Section about Neutral Axis formula is defined as a measure of the resistance of a rectangular section to bending or twisting, which is crucial in determining the shear stress and deformation of the section under various loads is calculated using Moment of Inertia of Area of Section = Shear Force on Beam/(2*Shear Stress in Beam)*(Depth of Rectangular Section^2/4-Distance from Neutral Axis^2). To calculate Moment of Inertia of Rectangular Section about Neutral Axis, you need Shear Force on Beam (V), Shear Stress in Beam (𝜏), Depth of Rectangular Section (d) & Distance from Neutral Axis (σ). With our tool, you need to enter the respective value for Shear Force on Beam, Shear Stress in Beam, Depth of Rectangular Section & Distance from Neutral Axis 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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