Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section Calculator

✖Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.ⓘ Eccentricity of Loading [e_load]			+10% -10%
✖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%

✖Hollow Circular Section Inner Diameter is the diameter of inner circle of circular hollow shaft.ⓘ Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section [d_i]

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Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hollow Circular Section Inner Diameter = sqrt((Eccentricity of Loading*8*Outer Diameter of Hollow Circular Section)-(Outer Diameter of Hollow Circular Section^2))
d_i = sqrt((e_load*8*d_circle)-(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.
Eccentricity of Loading - (Measured in Meter) - Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.
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.

STEP 1: Convert Input(s) to Base Unit

Eccentricity of Loading: 25 Millimeter --> 0.025 Meter (Check conversion here)
Outer Diameter of Hollow Circular Section: 23 Millimeter --> 0.023 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_i = sqrt((e_load*8*d_circle)-(d_circle^2)) --> sqrt((0.025*8*0.023)-(0.023^2))

Evaluating ... ...

d_i = 0.0638043885637971

STEP 3: Convert Result to Output's Unit

0.0638043885637971 Meter -->63.8043885637971 Millimeter (Check conversion here)

FINAL ANSWER

63.8043885637971 ≈ 63.80439 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 » Mechanical » Kernel of Hollow Circular Section » Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section

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< Kernel of Hollow Circular Section Calculators

Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section

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

Inner Diameter of Hollow Circular Section given Diameter of kernel

LaTeX 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

LaTeX 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

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

Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section Formula

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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 Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section?

Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section calculator uses Hollow Circular Section Inner Diameter = sqrt((Eccentricity of Loading*8*Outer Diameter of Hollow Circular Section)-(Outer Diameter of Hollow Circular Section^2)) to calculate the Hollow Circular Section Inner Diameter, The Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section formula is defined as a measure of the internal diameter of a hollow circular section under maximum eccentricity of load, which is essential in calculating direct and bending stresses in structural analysis. Hollow Circular Section Inner Diameter is denoted by d_i symbol.

How to calculate Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section using this online calculator? To use this online calculator for Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section, enter Eccentricity of Loading (e_load) & Outer Diameter of Hollow Circular Section (d_circle) and hit the calculate button. Here is how the Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section calculation can be explained with given input values -> 63804.39 = sqrt((0.025*8*0.023)-(0.023^2)).

FAQ

What is Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section?

The Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section formula is defined as a measure of the internal diameter of a hollow circular section under maximum eccentricity of load, which is essential in calculating direct and bending stresses in structural analysis and is represented as d_i = sqrt((e_load*8*d_circle)-(d_circle^2)) or Hollow Circular Section Inner Diameter = sqrt((Eccentricity of Loading*8*Outer Diameter of Hollow Circular Section)-(Outer Diameter of Hollow Circular Section^2)). Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen & Outer Diameter of Hollow Circular Section is the measure of largest diameter of 2D concentric circular cross section.

How to calculate Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section?

The Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section formula is defined as a measure of the internal diameter of a hollow circular section under maximum eccentricity of load, which is essential in calculating direct and bending stresses in structural analysis is calculated using Hollow Circular Section Inner Diameter = sqrt((Eccentricity of Loading*8*Outer Diameter of Hollow Circular Section)-(Outer Diameter of Hollow Circular Section^2)). To calculate Internal Diameter given Maximum Eccentricity of Load for Hollow Circular Section, you need Eccentricity of Loading (e_load) & Outer Diameter of Hollow Circular Section (d_circle). With our tool, you need to enter the respective value for Eccentricity of Loading & Outer Diameter of Hollow Circular Section 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 Eccentricity of Loading & Outer Diameter of Hollow Circular Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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