Diameter of Circular Section given Maximum Bending Stress Calculator

✖Bending Stress in Column is the normal stress that is induced at a point in a column subjected to loads that cause it to bend.ⓘ Bending Stress in Column [σ_b]			+10% -10%
✖MOI of Area of Circular Section is the second moment of the area of the circular section about the neutral axis.ⓘ MOI of Area of Circular Section [I_circular]			+10% -10%
✖Moment due to Eccentric Load is the bending moment created when a load is applied at a point that is offset (or "eccentric") from the central axis of a structural element, like a beam or column.ⓘ Moment due to Eccentric Load [M]			+10% -10%

✖Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Diameter of Circular Section given Maximum Bending Stress [d]

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Diameter of Circular Section given Maximum Bending Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Moment due to Eccentric Load
d = (σ_b*(2*I_circular))/M
This formula uses 4 Variables

Variables Used

Diameter - (Measured in Meter) - Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Bending Stress in Column - (Measured in Pascal) - Bending Stress in Column is the normal stress that is induced at a point in a column subjected to loads that cause it to bend.
MOI of Area of Circular Section - (Measured in Meter⁴) - MOI of Area of Circular Section is the second moment of the area of the circular section about the neutral axis.
Moment due to Eccentric Load - (Measured in Newton Meter) - Moment due to Eccentric Load is the bending moment created when a load is applied at a point that is offset (or "eccentric") from the central axis of a structural element, like a beam or column.

STEP 1: Convert Input(s) to Base Unit

Bending Stress in Column: 0.04 Megapascal --> 40000 Pascal (Check conversion here)
MOI of Area of Circular Section: 455.1887 Millimeter⁴ --> 4.551887E-10 Meter⁴ (Check conversion here)
Moment due to Eccentric Load: 0.000256 Newton Meter --> 0.000256 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = (σ_b*(2*I_circular))/M --> (40000*(2*4.551887E-10))/0.000256

Evaluating ... ...

d = 0.14224646875

STEP 3: Convert Result to Output's Unit

0.14224646875 Meter -->142.24646875 Millimeter (Check conversion here)

FINAL ANSWER

142.24646875 ≈ 142.2465 Millimeter <-- Diameter

(Calculation completed in 00.020 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Middle Quarter Rule for Circular Section Calculators

Eccentricity of Load given Minimum Bending Stress

Go Eccentricity of Loading = (((4*Eccentric Load on Column)/(pi*(Diameter^2)))-Minimum Bending Stress)*((pi*(Diameter^3))/(32*Eccentric Load on Column))

Condition for Maximum Bending Stress given Diameter

Go Diameter = 2*Distance from Neutral Layer

Diameter of Circular Section given Maximum Value of Eccentricity

Go Diameter = 8*Eccentricity of Loading

Maximum value of Eccentricity for No Tensile Stress

Go Eccentricity of Loading = Diameter/8

Diameter of Circular Section given Maximum Bending Stress Formula

Diameter = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Moment due to Eccentric Load
d = (σ_b*(2*I_circular))/M

What is Shear Stress and Strain?

Shear strain is the deformation of an object or medium under shear stress. The shear modulus is the elastic modulus in this case. Shear stress is caused by forces acting along the object's two parallel surfaces.

How to Calculate Diameter of Circular Section given Maximum Bending Stress?

Diameter of Circular Section given Maximum Bending Stress calculator uses Diameter = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Moment due to Eccentric Load to calculate the Diameter, The Diameter of Circular Section given Maximum Bending Stress formula is defined as a measure of the diameter of a circular section that can withstand a maximum bending stress, which is critical in designing and analyzing beams and columns in structural engineering applications. Diameter is denoted by d symbol.

How to calculate Diameter of Circular Section given Maximum Bending Stress using this online calculator? To use this online calculator for Diameter of Circular Section given Maximum Bending Stress, enter Bending Stress in Column (σ_b), MOI of Area of Circular Section (I_circular) & Moment due to Eccentric Load (M) and hit the calculate button. Here is how the Diameter of Circular Section given Maximum Bending Stress calculation can be explained with given input values -> 4.495691 = (40000*(2*4.551887E-10))/0.000256.

FAQ

What is Diameter of Circular Section given Maximum Bending Stress?

The Diameter of Circular Section given Maximum Bending Stress formula is defined as a measure of the diameter of a circular section that can withstand a maximum bending stress, which is critical in designing and analyzing beams and columns in structural engineering applications and is represented as d = (σ_b*(2*I_circular))/M or Diameter = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Moment due to Eccentric Load. Bending Stress in Column is the normal stress that is induced at a point in a column subjected to loads that cause it to bend, MOI of Area of Circular Section is the second moment of the area of the circular section about the neutral axis & Moment due to Eccentric Load is the bending moment created when a load is applied at a point that is offset (or "eccentric") from the central axis of a structural element, like a beam or column.

How to calculate Diameter of Circular Section given Maximum Bending Stress?

The Diameter of Circular Section given Maximum Bending Stress formula is defined as a measure of the diameter of a circular section that can withstand a maximum bending stress, which is critical in designing and analyzing beams and columns in structural engineering applications is calculated using Diameter = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Moment due to Eccentric Load. To calculate Diameter of Circular Section given Maximum Bending Stress, you need Bending Stress in Column (σ_b), MOI of Area of Circular Section (I_circular) & Moment due to Eccentric Load (M). With our tool, you need to enter the respective value for Bending Stress in Column, MOI of Area of Circular Section & Moment due to Eccentric Load 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 Diameter?

In this formula, Diameter uses Bending Stress in Column, MOI of Area of Circular Section & Moment due to Eccentric Load. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter = 8*Eccentricity of Loading
Diameter = 2*Distance from Neutral Layer
Diameter = sqrt((4*Eccentric Load on Column)/(pi*Direct Stress))

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