Moment of Inertia of Section for I-section Calculator

✖Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force on Beam [F_s]			+10% -10%
✖Shear Stress in Beam is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress in Beam [𝜏_beam]			+10% -10%
✖The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section.ⓘ Outer Depth of I section [D]			+10% -10%
✖Distance from Neutral Axis is the distance of the considered layer from the neutral layer.ⓘ Distance from Neutral Axis [y]			+10% -10%

✖Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis.ⓘ Moment of Inertia of Section for I-section [I]

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Moment of Inertia of Section for I-section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia of Area of Section = Shear Force on Beam/(2*Shear Stress in Beam)*((Outer Depth of I section^2)/2-Distance from Neutral Axis^2)
I = F_s/(2*𝜏_beam)*((D^2)/2-y^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 the second moment of the area of the section about the neutral axis.
Shear Force on Beam - (Measured in Newton) - Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.
Shear Stress in Beam - (Measured in Pascal) - Shear Stress in Beam is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Outer Depth of I section - (Measured in Meter) - The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section.
Distance from Neutral Axis - (Measured in Meter) - Distance from Neutral Axis is the distance of the considered layer from the neutral layer.

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)
Outer Depth of I section: 9000 Millimeter --> 9 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 = F_s/(2*𝜏_beam)*((D^2)/2-y^2) --> 4800/(2*6000000)*((9^2)/2-0.005^2)

Evaluating ... ...

I = 0.01619999

STEP 3: Convert Result to Output's Unit

0.01619999 Meter⁴ --> No Conversion Required

FINAL ANSWER

0.01619999 ≈ 0.0162 Meter⁴ <-- Moment of Inertia of Area of Section

(Calculation completed in 00.004 seconds)

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< Shear Stress Distribution in Flange Calculators

Inner Depth of I-section given Shear Stress in Lower Edge of Flange

LaTeX Go Inner Depth of I Section = sqrt(Outer Depth of I section^2-(8*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam)

Outer Depth of I section given Shear Stress in Lower Edge of Flange

LaTeX Go Outer Depth of I section = sqrt((8*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam+Inner Depth of I Section^2)

Moment of Inertia of I section given Shear Stress in Lower Edge of Flange

LaTeX Go Moment of Inertia of Area of Section = Shear Force on Beam/(8*Shear Stress in Beam)*(Outer Depth of I section^2-Inner Depth of I Section^2)

Shear Force in Lower Edge of Flange in I-section

LaTeX Go Shear Force on Beam = (8*Moment of Inertia of Area of Section*Shear Stress in Beam)/(Outer Depth of I section^2-Inner Depth of I Section^2)

Moment of Inertia of Section for I-section Formula

LaTeX Go

Moment of Inertia of Area of Section = Shear Force on Beam/(2*Shear Stress in Beam)*((Outer Depth of I section^2)/2-Distance from Neutral Axis^2)
I = F_s/(2*𝜏_beam)*((D^2)/2-y^2)

What is Moment of Inertia?

The moment of inertia (also known as the second moment of area) is a fundamental concept in mechanics and structural engineering. It quantifies how a structural element's cross-sectional area is distributed relative to an axis, affecting its resistance to bending or torsional loads.

How to Calculate Moment of Inertia of Section for I-section?

Moment of Inertia of Section for I-section calculator uses Moment of Inertia of Area of Section = Shear Force on Beam/(2*Shear Stress in Beam)*((Outer Depth of I section^2)/2-Distance from Neutral Axis^2) to calculate the Moment of Inertia of Area of Section, The Moment of Inertia of Section for I-section formula is defined as a measure of the tendency of an I-shaped section to resist deformation due to external torque, providing a crucial parameter in calculating shear stress and beam deflection in structural analysis. Moment of Inertia of Area of Section is denoted by I symbol.

How to calculate Moment of Inertia of Section for I-section using this online calculator? To use this online calculator for Moment of Inertia of Section for I-section, enter Shear Force on Beam (F_s), Shear Stress in Beam (𝜏_beam), Outer Depth of I section (D) & Distance from Neutral Axis (y) and hit the calculate button. Here is how the Moment of Inertia of Section for I-section calculation can be explained with given input values -> 0.0162 = 4800/(2*6000000)*((9^2)/2-0.005^2).

FAQ

What is Moment of Inertia of Section for I-section?

The Moment of Inertia of Section for I-section formula is defined as a measure of the tendency of an I-shaped section to resist deformation due to external torque, providing a crucial parameter in calculating shear stress and beam deflection in structural analysis and is represented as I = F_s/(2*𝜏_beam)*((D^2)/2-y^2) or Moment of Inertia of Area of Section = Shear Force on Beam/(2*Shear Stress in Beam)*((Outer Depth of I section^2)/2-Distance from Neutral Axis^2). Shear Force on Beam is the force which causes shear deformation to occur in the shear plane, Shear Stress in Beam is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section & Distance from Neutral Axis is the distance of the considered layer from the neutral layer.

How to calculate Moment of Inertia of Section for I-section?

The Moment of Inertia of Section for I-section formula is defined as a measure of the tendency of an I-shaped section to resist deformation due to external torque, providing a crucial parameter in calculating shear stress and beam deflection in structural analysis is calculated using Moment of Inertia of Area of Section = Shear Force on Beam/(2*Shear Stress in Beam)*((Outer Depth of I section^2)/2-Distance from Neutral Axis^2). To calculate Moment of Inertia of Section for I-section, you need Shear Force on Beam (F_s), Shear Stress in Beam (𝜏_beam), Outer Depth of I section (D) & Distance from Neutral Axis (y). With our tool, you need to enter the respective value for Shear Force on Beam, Shear Stress in Beam, Outer Depth of I 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.

How many ways are there to calculate Moment of Inertia of Area of Section?

In this formula, Moment of Inertia of Area of Section uses Shear Force on Beam, Shear Stress in Beam, Outer Depth of I section & Distance from Neutral Axis. We can use 1 other way(s) to calculate the same, which is/are as follows -

Moment of Inertia of Area of Section = Shear Force on Beam/(8*Shear Stress in Beam)*(Outer Depth of I section^2-Inner Depth of I Section^2)

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