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 = (σb*(2*Icircular))/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 body 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 section about the neutral axis.
Moment due to eccentric load - (Measured in Newton Meter) - Moment due to eccentric load is at any point of column section due to eccentric load.
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: 1154 Millimeter⁴ --> 1.154E-09 Meter⁴ (Check conversion here)
Moment due to eccentric load: 8.1 Newton Meter --> 8.1 Newton Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = (σb*(2*Icircular))/M --> (40000*(2*1.154E-09))/8.1
Evaluating ... ...
d = 1.13975308641975E-05
STEP 3: Convert Result to Output's Unit
1.13975308641975E-05 Meter -->0.0113975308641975 Millimeter (Check conversion here)
FINAL ANSWER
0.0113975308641975 0.011398 Millimeter <-- Diameter
(Calculation completed in 00.019 seconds)

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National Institute Of Technology (NIT), Hamirpur
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18 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))
Minimum Bending Stress given Eccentric Load
Go Minimum Bending Stress = ((4*Eccentric load on column)/(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter))
Eccentric Load given Minimum Bending Stress
Go Eccentric load on column = (Minimum Bending Stress*(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter))/4
Eccentricity of Load given Maximum Bending Stress
Go Eccentricity of Loading = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentric load on column)
Eccentric Load given maximum Bending Stress
Go Eccentric load on column = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentricity of Loading)
Maximum Bending Stress given Eccentric Load
Go Maximum bending stress = (32*Eccentric load on column*Eccentricity of Loading)/(pi*(Diameter^3))
Maximum Bending Stress for Circular Section given Moment of Load
Go Maximum bending stress = (Moment due to eccentric load*Diameter of Circular section)/(2*MOI of Area of Circular Section)
Moment of Load given Maximum Bending Stress for Circular Section
Go Moment due to eccentric load = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Diameter
Diameter of Circular Section given Maximum Bending Stress
Go Diameter = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Moment due to eccentric load
Moment of Inertia of Circular Section given Maximum Bending Stress for Circular Section
Go MOI of Area of Circular Section = (Moment due to eccentric load*Diameter)/(2*Maximum bending stress)
Diameter of Circular Section given Direct Stress
Go Diameter = sqrt((4*Eccentric load on column)/(pi*Direct Stress))
Direct stress for circular section
Go Direct Stress = (4*Eccentric load on column)/(pi*(Diameter^2))
Eccentric load for given direct stress for circular section
Go Eccentric load on column = (Direct Stress*pi*(Diameter^2))/4
Minimum Bending Stress given Direct and Bending Stress
Go Minimum Bending Stress = Direct Stress-Bending Stress in Column
Condition for Maximum Bending Stress given Diameter
Go Diameter = 2*Distance from Neutral Layer
Condition for maximum bending stress
Go Distance from Neutral Layer = Diameter/2
Diameter of circular section if maximum value of eccentricity is known(for no tensile stress case)
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 = (σb*(2*Icircular))/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 chord that runs through the center point of the circle. 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 b), MOI of Area of Circular Section (Icircular) & 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 -> 11.39753 = (40000*(2*1.154E-09))/8.1.

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 chord that runs through the center point of the circle and is represented as d = (σb*(2*Icircular))/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 body subjected to loads that cause it to bend, MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis & Moment due to eccentric load is at any point of column section due to eccentric load.
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 chord that runs through the center point of the circle 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 b), MOI of Area of Circular Section (Icircular) & 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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