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

✖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%
✖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 Area of Section [I]			+10% -10%
✖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%

✖Inner Depth of I Section is a measure of distance, the distance between the inner bars of the I-section.ⓘ Inner Depth of I-section given Shear Stress in Lower Edge of Flange [d]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
d = sqrt(D^2-(8*I)/F_s*𝜏_beam)
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Inner Depth of I Section - (Measured in Meter) - Inner Depth of I Section is a measure of distance, the distance between the inner bars of the I-section.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Outer Depth of I section: 9000 Millimeter --> 9 Meter (Check conversion here)
Moment of Inertia of Area of Section: 0.00168 Meter⁴ --> 0.00168 Meter⁴ No Conversion Required
Shear Force on Beam: 4.8 Kilonewton --> 4800 Newton (Check conversion here)
Shear Stress in Beam: 6 Megapascal --> 6000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = sqrt(D^2-(8*I)/F_s*𝜏_beam) --> sqrt(9^2-(8*0.00168)/4800*6000000)

Evaluating ... ...

d = 8.01249024960405

STEP 3: Convert Result to Output's Unit

8.01249024960405 Meter -->8012.49024960405 Millimeter (Check conversion here)

FINAL ANSWER

8012.49024960405 ≈ 8012.49 Millimeter <-- Inner Depth of I Section

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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)

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

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)
d = sqrt(D^2-(8*I)/F_s*𝜏_beam)

Where is Shear Stress Distribution in a Beam Section is Maximum?

The maximum shear stress occurs at the neutral axis and is zero at both the top and bottom surfaces of the beam. Shear flow has the units of force per unit distance.

How to Calculate Inner Depth of I-section given Shear Stress in Lower Edge of Flange?

Inner Depth of I-section given Shear Stress in Lower Edge of Flange calculator uses 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) to calculate the Inner Depth of I Section, Inner Depth of I-section given Shear Stress in Lower Edge of Flange formula is defined as the distance from the neutral axis to the lower edge of the flange in an I-section beam, which is a critical parameter in structural analysis to ensure the beam's stability and resistance to shear stress. Inner Depth of I Section is denoted by d symbol.

How to calculate Inner Depth of I-section given Shear Stress in Lower Edge of Flange using this online calculator? To use this online calculator for Inner Depth of I-section given Shear Stress in Lower Edge of Flange, enter Outer Depth of I section (D), Moment of Inertia of Area of Section (I), Shear Force on Beam (F_s) & Shear Stress in Beam (𝜏_beam) and hit the calculate button. Here is how the Inner Depth of I-section given Shear Stress in Lower Edge of Flange calculation can be explained with given input values -> 8E+6 = sqrt(9^2-(8*0.00168)/4800*6000000).

FAQ

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

Inner Depth of I-section given Shear Stress in Lower Edge of Flange formula is defined as the distance from the neutral axis to the lower edge of the flange in an I-section beam, which is a critical parameter in structural analysis to ensure the beam's stability and resistance to shear stress and is represented as d = sqrt(D^2-(8*I)/F_s*𝜏_beam) or 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). The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section, 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 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.

How to calculate Inner Depth of I-section given Shear Stress in Lower Edge of Flange?

Inner Depth of I-section given Shear Stress in Lower Edge of Flange formula is defined as the distance from the neutral axis to the lower edge of the flange in an I-section beam, which is a critical parameter in structural analysis to ensure the beam's stability and resistance to shear stress is calculated using 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). To calculate Inner Depth of I-section given Shear Stress in Lower Edge of Flange, you need Outer Depth of I section (D), Moment of Inertia of Area of Section (I), Shear Force on Beam (F_s) & Shear Stress in Beam (𝜏_beam). With our tool, you need to enter the respective value for Outer Depth of I section, Moment of Inertia of Area of Section, Shear Force on Beam & Shear Stress in Beam 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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