Moment of Load given Maximum Bending Stress for Circular Section Calculator

✖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.ⓘ Bending Stress in Column [σ_b]			+10% -10%
✖MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis.ⓘ MOI of Area of Circular Section [I_circular]			+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%

✖Moment due to eccentric load is at any point of column section due to eccentric load.ⓘ Moment of Load given Maximum Bending Stress for Circular Section [M]

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Formula

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Moment of Load given Maximum Bending Stress for Circular Section

Formula

`"M" = ("σ"_{"b"}*(2*"I"_{"circular"}))/"d"`

Example

`"0.00065N*m"=("0.04MPa"*(2*"1154mm⁴"))/"142mm"`

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Moment of Load given Maximum Bending Stress for Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

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)
Diameter: 142 Millimeter --> 0.142 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = (σ_b*(2*I_circular))/d --> (40000*(2*1.154E-09))/0.142

Evaluating ... ...

M = 0.000650140845070423

STEP 3: Convert Result to Output's Unit

0.000650140845070423 Newton Meter --> No Conversion Required

FINAL ANSWER

0.000650140845070423 ≈ 0.00065 Newton Meter <-- Moment due to eccentric load

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Direct And Bending Stress » Middle Quarter Rule For Circular Section » Moment of Load given Maximum Bending Stress for Circular Section

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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

Moment of Load given Maximum Bending Stress for Circular Section Formula

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

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 Moment of Load given Maximum Bending Stress for Circular Section?

Moment of Load given Maximum Bending Stress for Circular Section calculator uses Moment due to eccentric load = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Diameter to calculate the Moment due to eccentric load, The Moment of load given maximum bending stress for circular section formula is defined as a geometrical property of an area that reflects how its points are distributed with regard to an arbitrary axis. Moment due to eccentric load is denoted by M symbol.

How to calculate Moment of Load given Maximum Bending Stress for Circular Section using this online calculator? To use this online calculator for Moment of Load given Maximum Bending Stress for Circular Section, enter Bending Stress in Column (σ_b), MOI of Area of Circular Section (I_circular) & Diameter (d) and hit the calculate button. Here is how the Moment of Load given Maximum Bending Stress for Circular Section calculation can be explained with given input values -> 3.8E-5 = (40000*(2*1.154E-09))/0.142.

FAQ

What is Moment of Load given Maximum Bending Stress for Circular Section?

The Moment of load given maximum bending stress for circular section formula is defined as a geometrical property of an area that reflects how its points are distributed with regard to an arbitrary axis and is represented as M = (σ_b*(2*I_circular))/d or Moment due to eccentric load = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Diameter. 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 & 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 Moment of Load given Maximum Bending Stress for Circular Section?

The Moment of load given maximum bending stress for circular section formula is defined as a geometrical property of an area that reflects how its points are distributed with regard to an arbitrary axis is calculated using Moment due to eccentric load = (Bending Stress in Column*(2*MOI of Area of Circular Section))/Diameter. To calculate Moment of Load given Maximum Bending Stress for Circular Section, you need Bending Stress in Column (σ_b), MOI of Area of Circular Section (I_circular) & Diameter (d). With our tool, you need to enter the respective value for Bending Stress in Column, MOI of Area of Circular Section & 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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