Inner Diameter of Hollow Circular Section given Diameter of kernel Calculator

✖Outer Diameter of Hollow Circular Section is the measure of largest diameter of 2D concentric circular cross section.ⓘ Outer Diameter of Hollow Circular Section [d_circle]			+10% -10%
✖Diameter of kernel is a chord that runs through the center point of the kernel of hollow circular section.ⓘ Diameter of kernel [d_kernel]			+10% -10%

✖Hollow Circular Section Inner Diameter is the diameter of inner circle of circular hollow shaft.ⓘ Inner Diameter of Hollow Circular Section given Diameter of kernel [d_i]

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Formula

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Inner Diameter of Hollow Circular Section given Diameter of kernel

Formula

`"d"_{"i"} = sqrt((4*"d"_{"circle"}*"d"_{"kernel"})-("d"_{"circle"}^2))`

Example

`"27.54995mm"=sqrt((4*"23mm"*"14mm")-(("23mm")^2))`

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Inner Diameter of Hollow Circular Section given Diameter of kernel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hollow Circular Section Inner Diameter = sqrt((4*Outer Diameter of Hollow Circular Section*Diameter of kernel)-(Outer Diameter of Hollow Circular Section^2))
d_i = sqrt((4*d_circle*d_kernel)-(d_circle^2))
This formula uses 1 Functions, 3 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

Hollow Circular Section Inner Diameter - (Measured in Meter) - Hollow Circular Section Inner Diameter is the diameter of inner circle of circular hollow shaft.
Outer Diameter of Hollow Circular Section - (Measured in Meter) - Outer Diameter of Hollow Circular Section is the measure of largest diameter of 2D concentric circular cross section.
Diameter of kernel - (Measured in Meter) - Diameter of kernel is a chord that runs through the center point of the kernel of hollow circular section.

STEP 1: Convert Input(s) to Base Unit

Outer Diameter of Hollow Circular Section: 23 Millimeter --> 0.023 Meter (Check conversion here)
Diameter of kernel: 14 Millimeter --> 0.014 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_i = sqrt((4*d_circle*d_kernel)-(d_circle^2)) --> sqrt((4*0.023*0.014)-(0.023^2))

Evaluating ... ...

d_i = 0.0275499546279118

STEP 3: Convert Result to Output's Unit

0.0275499546279118 Meter -->27.5499546279118 Millimeter (Check conversion here)

FINAL ANSWER

27.5499546279118 ≈ 27.54995 Millimeter <-- Hollow Circular Section Inner Diameter

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Direct And Bending Stress » Kernel of Hollow Circular Section » Inner Diameter of Hollow Circular Section given Diameter of kernel

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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University Institute of Technology RGPV (UIT - RGPV), Bhopal

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< 13 Kernel of Hollow Circular Section Calculators

Bending Stress for Hollow Circular section given Diameter

Go Bending Stress in Column = Moment due to eccentric load/((pi/(32*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^4)-(Hollow Circular Section Inner Diameter^4)))

Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section

Go Hollow Circular Section Inner Diameter = sqrt((Eccentricity of Loading*8*Outer Diameter of Hollow Circular Section)-(Outer Diameter of Hollow Circular Section^2))

Section modulus hollow circular section

Go Section Modulus = (pi/(32*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^4)-(Hollow Circular Section Inner Diameter^4))

Inner Diameter of Hollow Circular Section given Diameter of kernel

Go Hollow Circular Section Inner Diameter = sqrt((4*Outer Diameter of Hollow Circular Section*Diameter of kernel)-(Outer Diameter of Hollow Circular Section^2))

Maximum value of eccentricity of load for hollow circular section

Go Eccentricity of Loading = (1/(8*Outer Diameter of Hollow Circular Section))*((Outer Diameter of Hollow Circular Section^2)+(Hollow Circular Section Inner Diameter^2))

Diameter of kernel for hollow circular section

Go Diameter of kernel = ((Outer Diameter of Hollow Circular Section^2)+(Hollow Circular Section Inner Diameter^2))/(4*Outer Diameter of Hollow Circular Section)

Section Modulus given Bending Stress and Eccentric Load on Hollow Circular Section

Go Section Modulus = (Eccentricity of Loading*Eccentric load on column)/Bending Stress in Column

Bending Stress for Hollow Circular Section using Eccentric Load and Eccentricity

Go Bending Stress in Column = (Eccentricity of Loading*Eccentric load on column)/Section Modulus

Eccentric Load given Bending Stress on Hollow Circular Section

Go Eccentric load on column = (Bending Stress in Column*Section Modulus)/Eccentricity of Loading

Eccentricity given Bending Stress on Hollow Circular Section

Go Eccentricity of Loading = (Bending Stress in Column*Section Modulus)/Eccentric load on column

Moment due to Eccentric Load Bending Stress on Hollow Circular Section

Go Moment due to eccentric load = Bending Stress in Column*Section Modulus

Section Modulus given Bending Stress on Hollow Circular Section

Go Section Modulus = Moment due to eccentric load/Bending Stress in Column

Bending stress for hollow circular section

Go Bending Stress in Column = Moment due to eccentric load/Section Modulus

Inner Diameter of Hollow Circular Section given Diameter of kernel Formula

Is bending stress a normal stress?

Bending stress is a more specific type of normal stress. The stress at the horizontal plane of the neutral is zero. The bottom fibers of the beam undergo a normal tensile stress. It can be concluded therefore that the value of the bending stress will vary linearly with distance from the neutral axis.

How to Calculate Inner Diameter of Hollow Circular Section given Diameter of kernel?

Inner Diameter of Hollow Circular Section given Diameter of kernel calculator uses Hollow Circular Section Inner Diameter = sqrt((4*Outer Diameter of Hollow Circular Section*Diameter of kernel)-(Outer Diameter of Hollow Circular Section^2)) to calculate the Hollow Circular Section Inner Diameter, Inner diameter of hollow circular section given diameter of kernel formula is defined as a chord that runs through the center point of the inner circular section. Hollow Circular Section Inner Diameter is denoted by d_i symbol.

How to calculate Inner Diameter of Hollow Circular Section given Diameter of kernel using this online calculator? To use this online calculator for Inner Diameter of Hollow Circular Section given Diameter of kernel, enter Outer Diameter of Hollow Circular Section (d_circle) & Diameter of kernel (d_kernel) and hit the calculate button. Here is how the Inner Diameter of Hollow Circular Section given Diameter of kernel calculation can be explained with given input values -> 27549.95 = sqrt((4*0.023*0.014)-(0.023^2)).

FAQ

What is Inner Diameter of Hollow Circular Section given Diameter of kernel?

Inner diameter of hollow circular section given diameter of kernel formula is defined as a chord that runs through the center point of the inner circular section and is represented as d_i = sqrt((4*d_circle*d_kernel)-(d_circle^2)) or Hollow Circular Section Inner Diameter = sqrt((4*Outer Diameter of Hollow Circular Section*Diameter of kernel)-(Outer Diameter of Hollow Circular Section^2)). Outer Diameter of Hollow Circular Section is the measure of largest diameter of 2D concentric circular cross section & Diameter of kernel is a chord that runs through the center point of the kernel of hollow circular section.

How to calculate Inner Diameter of Hollow Circular Section given Diameter of kernel?

Inner diameter of hollow circular section given diameter of kernel formula is defined as a chord that runs through the center point of the inner circular section is calculated using Hollow Circular Section Inner Diameter = sqrt((4*Outer Diameter of Hollow Circular Section*Diameter of kernel)-(Outer Diameter of Hollow Circular Section^2)). To calculate Inner Diameter of Hollow Circular Section given Diameter of kernel, you need Outer Diameter of Hollow Circular Section (d_circle) & Diameter of kernel (d_kernel). With our tool, you need to enter the respective value for Outer Diameter of Hollow Circular Section & Diameter of kernel 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 Hollow Circular Section Inner Diameter?

In this formula, Hollow Circular Section Inner Diameter uses Outer Diameter of Hollow Circular Section & Diameter of kernel. We can use 1 other way(s) to calculate the same, which is/are as follows -

Hollow Circular Section Inner Diameter = sqrt((Eccentricity of Loading*8*Outer Diameter of Hollow Circular Section)-(Outer Diameter of Hollow Circular Section^2))

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