Direct stress for circular section Calculator

✖Eccentric load on column is the load that causes direct stress as well as bending stress.ⓘ Eccentric load on column [P]			+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 [d]			+10% -10%

✖Direct Stress is defined as axial thrust acting per unit area.ⓘ Direct stress for circular section [σ]

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Formula

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Direct stress for circular section

Formula

`"σ" = (4*"P")/(pi*("d"^2))`

Example

`"0.442009MPa"=(4*"7kN")/(pi*(("142mm")^2))`

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Direct stress for circular section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Direct Stress = (4*Eccentric load on column)/(pi*(Diameter^2))
σ = (4*P)/(pi*(d^2))
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Direct Stress - (Measured in Pascal) - Direct Stress is defined as axial thrust acting per unit area.
Eccentric load on column - (Measured in Newton) - Eccentric load on column is the load that causes direct stress as well as bending stress.
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.

STEP 1: Convert Input(s) to Base Unit

Eccentric load on column: 7 Kilonewton --> 7000 Newton (Check conversion here)
Diameter: 142 Millimeter --> 0.142 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ = (4*P)/(pi*(d^2)) --> (4*7000)/(pi*(0.142^2))

Evaluating ... ...

σ = 442009.363873544

STEP 3: Convert Result to Output's Unit

442009.363873544 Pascal -->0.442009363873544 Megapascal (Check conversion here)

FINAL ANSWER

0.442009363873544 ≈ 0.442009 Megapascal <-- Direct Stress

(Calculation completed in 00.007 seconds)

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Home » Physics » Strength of Materials » Direct And Bending Stress » Middle Quarter Rule For Circular Section » Direct stress for circular section

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Kumar Siddhant

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

Direct stress for circular section Formula

Direct Stress = (4*Eccentric load on column)/(pi*(Diameter^2))
σ = (4*P)/(pi*(d^2))

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 Direct stress for circular section?

Direct stress for circular section calculator uses Direct Stress = (4*Eccentric load on column)/(pi*(Diameter^2)) to calculate the Direct Stress, The Direct stress for circular section formula is defined as the force that acts normal to a surface that causes stress which also acts normal to that surface. Direct Stress is denoted by σ symbol.

How to calculate Direct stress for circular section using this online calculator? To use this online calculator for Direct stress for circular section, enter Eccentric load on column (P) & Diameter (d) and hit the calculate button. Here is how the Direct stress for circular section calculation can be explained with given input values -> 4.4E-7 = (4*7000)/(pi*(0.142^2)).

FAQ

What is Direct stress for circular section?

The Direct stress for circular section formula is defined as the force that acts normal to a surface that causes stress which also acts normal to that surface and is represented as σ = (4*P)/(pi*(d^2)) or Direct Stress = (4*Eccentric load on column)/(pi*(Diameter^2)). Eccentric load on column is the load that causes direct stress as well as bending stress & Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.

How to calculate Direct stress for circular section?

The Direct stress for circular section formula is defined as the force that acts normal to a surface that causes stress which also acts normal to that surface is calculated using Direct Stress = (4*Eccentric load on column)/(pi*(Diameter^2)). To calculate Direct stress for circular section, you need Eccentric load on column (P) & Diameter (d). With our tool, you need to enter the respective value for Eccentric load on column & Diameter 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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