Eccentric Load given maximum Bending Stress Calculator

✖The Maximum Bending Moment is the absolute value of the maximum moment in the unbraced beam segment.ⓘ Maximum Bending Moment [M_max]			+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%
✖Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.ⓘ Eccentricity of Loading [e_load]			+10% -10%

✖Eccentric load on column is the load that causes direct stress as well as bending stress.ⓘ Eccentric Load given maximum Bending Stress [P]

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Formula

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Eccentric Load given maximum Bending Stress

Formula

`"P" = ("M"_{"max"}*(pi*("d"^3)))/(32*"e"_{"load"})`

Example

`"0.001223kN"=("10.01N*m"*(pi*(("142mm")^3)))/(32*"2.3mm")`

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Eccentric Load given maximum Bending Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eccentric load on column = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentricity of Loading)
P = (M_max*(pi*(d^3)))/(32*e_load)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Eccentric load on column - (Measured in Newton) - Eccentric load on column is the load that causes direct stress as well as bending stress.
Maximum Bending Moment - (Measured in Newton Meter) - The Maximum Bending Moment is the absolute value of the maximum moment in the unbraced beam segment.
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.
Eccentricity of Loading - (Measured in Meter) - Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.

STEP 1: Convert Input(s) to Base Unit

Maximum Bending Moment: 10.01 Newton Meter --> 10.01 Newton Meter No Conversion Required
Diameter: 142 Millimeter --> 0.142 Meter (Check conversion here)
Eccentricity of Loading: 2.3 Millimeter --> 0.0023 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (M_max*(pi*(d^3)))/(32*e_load) --> (10.01*(pi*(0.142^3)))/(32*0.0023)

Evaluating ... ...

P = 1.22340758566002

STEP 3: Convert Result to Output's Unit

1.22340758566002 Newton -->0.00122340758566002 Kilonewton (Check conversion here)

FINAL ANSWER

0.00122340758566002 ≈ 0.001223 Kilonewton <-- Eccentric load on column

(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 » Eccentric Load given maximum Bending Stress

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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

Eccentric Load given maximum Bending Stress Formula

Eccentric load on column = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentricity of Loading)
P = (M_max*(pi*(d^3)))/(32*e_load)

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 Eccentric Load given maximum Bending Stress?

Eccentric Load given maximum Bending Stress calculator uses Eccentric load on column = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentricity of Loading) to calculate the Eccentric load on column, Eccentric load given maximum bending stress formula is defined as load on a column or pile which is nonsymmetric with respect to the central axis, therefore producing a bending moment. Eccentric load on column is denoted by P symbol.

How to calculate Eccentric Load given maximum Bending Stress using this online calculator? To use this online calculator for Eccentric Load given maximum Bending Stress, enter Maximum Bending Moment (M_max), Diameter (d) & Eccentricity of Loading (e_load) and hit the calculate button. Here is how the Eccentric Load given maximum Bending Stress calculation can be explained with given input values -> 1.4E-8 = (10.01*(pi*(0.142^3)))/(32*0.0023).

FAQ

What is Eccentric Load given maximum Bending Stress?

Eccentric load given maximum bending stress formula is defined as load on a column or pile which is nonsymmetric with respect to the central axis, therefore producing a bending moment and is represented as P = (M_max*(pi*(d^3)))/(32*e_load) or Eccentric load on column = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentricity of Loading). The Maximum Bending Moment is the absolute value of the maximum moment in the unbraced beam segment, Diameter is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere & Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.

How to calculate Eccentric Load given maximum Bending Stress?

Eccentric load given maximum bending stress formula is defined as load on a column or pile which is nonsymmetric with respect to the central axis, therefore producing a bending moment is calculated using Eccentric load on column = (Maximum Bending Moment*(pi*(Diameter^3)))/(32*Eccentricity of Loading). To calculate Eccentric Load given maximum Bending Stress, you need Maximum Bending Moment (M_max), Diameter (d) & Eccentricity of Loading (e_load). With our tool, you need to enter the respective value for Maximum Bending Moment, Diameter & Eccentricity of Loading 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 Eccentric load on column?

In this formula, Eccentric load on column uses Maximum Bending Moment, Diameter & Eccentricity of Loading. We can use 2 other way(s) to calculate the same, which is/are as follows -

Eccentric load on column = (Minimum Bending Stress*(pi*(Diameter^2)))*(1-((8*Eccentricity of Loading)/Diameter))/4
Eccentric load on column = (Direct Stress*pi*(Diameter^2))/4

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