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)/Fs*𝜏beam)
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)/Fs*𝜏beam) --> 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)

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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15 Shear Stress Distribution in Flange Calculators

Distance of Considered Section from Neutral Axis given Shear Stress in Flange
Go Distance from Neutral Axis = sqrt((Outer Depth of I section^2)/2-(2*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam)
Outer Depth of I-section given Shear Stress in Flange
Go Outer Depth of I section = 4*sqrt((2*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam+Distance from Neutral Axis^2)
Inner Depth of I-section given Shear Stress in Lower Edge of Flange
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
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 Section for I-section
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)
Shear Force in Flange of I-section
Go Shear Force on Beam = (2*Moment of Inertia of Area of Section*Shear Stress in Beam)/((Outer Depth of I section^2)/2-Distance from Neutral Axis^2)
Shear Stress in Flange of I-section
Go Shear Stress in Beam = Shear Force on Beam/(2*Moment of Inertia of Area of Section)*(Outer Depth of I section^2/2-Distance from Neutral Axis^2)
Moment of Inertia of I section given Shear Stress in Lower Edge of Flange
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 Stress in Lower Edge of Flange of I-section
Go Shear Stress in Beam = Shear Force on Beam/(8*Moment of Inertia of Area of Section)*(Outer Depth of I section^2-Inner Depth of I Section^2)
Shear Force in Lower Edge of Flange in I-section
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)
Width of Section given Area above Considered Section of Flange
Go Width of Beam Section = Area of Section above Considered Level/(Outer Depth of I section/2-Distance from Neutral Axis)
Area of Flange or Area above Considered Section
Go Area of Section above Considered Level = Width of Beam Section*(Outer Depth of I section/2-Distance from Neutral Axis)
Distance of CG of Considered Area of Flange from Neutral Axis in I Section
Go Distance of CG of Area from NA = 1/2*(Outer Depth of I section/2+Distance from Neutral Axis)
Distance of Lower Edge of Flange from Neutral Axis
Go Distance from Neutral Axis = Inner Depth of I Section/2
Distance of Upper Edge of Flange from Neutral Axis
Go Distance from Neutral Axis = Outer Depth of I section/2

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

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)/Fs*𝜏beam)

Where is shear stress distribution in a beam section 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, The Inner Depth of I-section given Shear Stress in Lower Edge of Flange formula is defined as the length between the inner bars of the I-section. 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 (Fs) & Shear Stress in Beam (𝜏beam) 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?
The Inner Depth of I-section given Shear Stress in Lower Edge of Flange formula is defined as the length between the inner bars of the I-section and is represented as d = sqrt(D^2-(8*I)/Fs*𝜏beam) 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?
The Inner Depth of I-section given Shear Stress in Lower Edge of Flange formula is defined as the length between the inner bars of the I-section 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 (Fs) & Shear Stress in Beam (𝜏beam). 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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