Diameter of Circular Section given Direct Stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter = sqrt((4*Eccentric load on column)/(pi*Direct Stress))
d = sqrt((4*P)/(pi*σ))
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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
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.
Eccentric load on column - (Measured in Newton) - Eccentric load on column is the load that causes direct stress as well as bending stress.
Direct Stress - (Measured in Pascal) - Direct Stress is defined as axial thrust acting per unit area.
STEP 1: Convert Input(s) to Base Unit
Eccentric load on column: 7 Kilonewton --> 7000 Newton (Check conversion here)
Direct Stress: 0.05 Megapascal --> 50000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d = sqrt((4*P)/(pi*σ)) --> sqrt((4*7000)/(pi*50000))
Evaluating ... ...
d = 0.422200824564475
STEP 3: Convert Result to Output's Unit
0.422200824564475 Meter -->422.200824564475 Millimeter (Check conversion here)
FINAL ANSWER
422.200824564475 422.2008 Millimeter <-- Diameter
(Calculation completed in 00.004 seconds)

Credits

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National Institute Of Technology (NIT), Hamirpur
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Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur
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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 Direct Stress Formula

Diameter = sqrt((4*Eccentric load on column)/(pi*Direct Stress))
d = sqrt((4*P)/(pi*σ))

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 Direct Stress?

Diameter of Circular Section given Direct Stress calculator uses Diameter = sqrt((4*Eccentric load on column)/(pi*Direct Stress)) to calculate the Diameter, The Diameter of Circular Section given Direct 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 Direct Stress using this online calculator? To use this online calculator for Diameter of Circular Section given Direct Stress, enter Eccentric load on column (P) & Direct Stress (σ) and hit the calculate button. Here is how the Diameter of Circular Section given Direct Stress calculation can be explained with given input values -> 422200.8 = sqrt((4*7000)/(pi*50000)).

FAQ

What is Diameter of Circular Section given Direct Stress?
The Diameter of Circular Section given Direct Stress formula is defined as a chord that runs through the center point of the circle and is represented as d = sqrt((4*P)/(pi*σ)) or Diameter = sqrt((4*Eccentric load on column)/(pi*Direct Stress)). Eccentric load on column is the load that causes direct stress as well as bending stress & Direct Stress is defined as axial thrust acting per unit area.
How to calculate Diameter of Circular Section given Direct Stress?
The Diameter of Circular Section given Direct Stress formula is defined as a chord that runs through the center point of the circle is calculated using Diameter = sqrt((4*Eccentric load on column)/(pi*Direct Stress)). To calculate Diameter of Circular Section given Direct Stress, you need Eccentric load on column (P) & Direct Stress (σ). With our tool, you need to enter the respective value for Eccentric load on column & Direct Stress 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 Eccentric load on column & Direct Stress. 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 = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Moment due to eccentric load
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