Inner Diameter of Hollow Circular Section given Section Modulus Calculator

✖Outer Diameter of Hollow Circular Section is the diameter of outer edge of circular hollow shaft.ⓘ Outer Diameter of Hollow Circular Section [d_o]			+10% -10%
✖Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.ⓘ Section Modulus [Z]			+10% -10%

✖Inner Diameter of Hollow Circular Section is the measure of smallest diameter of a 2D concentric circular cross-section.ⓘ Inner Diameter of Hollow Circular Section given Section Modulus [d_i]

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Formula

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Inner Diameter of Hollow Circular Section given Section Modulus

Formula

`"d"_{"i"} = ("d"_{"o"}^4-(32*"d"_{"o"}*"Z")/pi)^(1/4)`

Example

`"238.887mm"=(("240mm")^4-(32*"240mm"*"25000mm³")/pi)^(1/4)`

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Inner Diameter of Hollow Circular Section given Section Modulus Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Diameter of Hollow Circular Section = (Outer Diameter of Hollow Circular Section^4-(32*Outer Diameter of Hollow Circular Section*Section Modulus)/pi)^(1/4)
d_i = (d_o^4-(32*d_o*Z)/pi)^(1/4)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Inner Diameter of Hollow Circular Section - (Measured in Meter) - Inner Diameter of Hollow Circular Section is the measure of smallest diameter of a 2D concentric circular cross-section.
Outer Diameter of Hollow Circular Section - (Measured in Meter) - Outer Diameter of Hollow Circular Section is the diameter of outer edge of circular hollow shaft.
Section Modulus - (Measured in Cubic Meter) - Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.

STEP 1: Convert Input(s) to Base Unit

Outer Diameter of Hollow Circular Section: 240 Millimeter --> 0.24 Meter (Check conversion here)
Section Modulus: 25000 Cubic Millimeter --> 2.5E-05 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_i = (d_o^4-(32*d_o*Z)/pi)^(1/4) --> (0.24^4-(32*0.24*2.5E-05)/pi)^(1/4)

Evaluating ... ...

d_i = 0.238887039489107

STEP 3: Convert Result to Output's Unit

0.238887039489107 Meter -->238.887039489107 Millimeter (Check conversion here)

FINAL ANSWER

238.887039489107 ≈ 238.887 Millimeter <-- Inner Diameter of Hollow Circular Section

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< 5 Hollow Circular Section Calculators

Inner Diameter of Hollow Circular Section given Section Modulus

Go Inner Diameter of Hollow Circular Section = (Outer Diameter of Hollow Circular Section^4-(32*Outer Diameter of Hollow Circular Section*Section Modulus)/pi)^(1/4)

Section Modulus of Hollow Circular Section

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

Moment of Inertia of Hollow Circular Section

Go MOI of Area of Circular Section = pi/64*(Outer Diameter of Hollow Circular Section^4-Inner Diameter of Hollow Circular Section^4)

Distance of Outermost Layer from Neutral Axis in Hollow Circular Section

Go Distance b/w Outermost and Neutral Layer = Outer Diameter of Hollow Circular Section/2

Outer Diameter of Hollow Circular Section

Go Outer Diameter of Hollow Circular Section = 2*Distance b/w Outermost and Neutral Layer

Inner Diameter of Hollow Circular Section given Section Modulus Formula

Inner Diameter of Hollow Circular Section = (Outer Diameter of Hollow Circular Section^4-(32*Outer Diameter of Hollow Circular Section*Section Modulus)/pi)^(1/4)
d_i = (d_o^4-(32*d_o*Z)/pi)^(1/4)

What is a nominal moment?

The nominal or ultimate flexural moment for reinforced concrete beam represents the ultimate moment that a beam can carry. moments generated by service load shall be less than the nominal moment of the beam. At this stage, reinforcing steel assumed to yield. Concrete stress will not vary linearly from the neutral axis.

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

Inner Diameter of Hollow Circular Section given Section Modulus calculator uses Inner Diameter of Hollow Circular Section = (Outer Diameter of Hollow Circular Section^4-(32*Outer Diameter of Hollow Circular Section*Section Modulus)/pi)^(1/4) to calculate the Inner Diameter of Hollow Circular Section, Inner Diameter of Hollow Circular section given Section modulus is defined as the length of a chord that runs through the center point of the inner circle. Inner Diameter of Hollow Circular Section is denoted by d_i symbol.

How to calculate Inner Diameter of Hollow Circular Section given Section Modulus using this online calculator? To use this online calculator for Inner Diameter of Hollow Circular Section given Section Modulus, enter Outer Diameter of Hollow Circular Section (d_o) & Section Modulus (Z) and hit the calculate button. Here is how the Inner Diameter of Hollow Circular Section given Section Modulus calculation can be explained with given input values -> 238887 = (0.24^4-(32*0.24*2.5E-05)/pi)^(1/4).

FAQ

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

Inner Diameter of Hollow Circular section given Section modulus is defined as the length of a chord that runs through the center point of the inner circle and is represented as d_i = (d_o^4-(32*d_o*Z)/pi)^(1/4) or Inner Diameter of Hollow Circular Section = (Outer Diameter of Hollow Circular Section^4-(32*Outer Diameter of Hollow Circular Section*Section Modulus)/pi)^(1/4). Outer Diameter of Hollow Circular Section is the diameter of outer edge of circular hollow shaft & Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.

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

Inner Diameter of Hollow Circular section given Section modulus is defined as the length of a chord that runs through the center point of the inner circle is calculated using Inner Diameter of Hollow Circular Section = (Outer Diameter of Hollow Circular Section^4-(32*Outer Diameter of Hollow Circular Section*Section Modulus)/pi)^(1/4). To calculate Inner Diameter of Hollow Circular Section given Section Modulus, you need Outer Diameter of Hollow Circular Section (d_o) & Section Modulus (Z). With our tool, you need to enter the respective value for Outer Diameter of Hollow Circular Section & Section Modulus 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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