Minimum Bending Stress given Direct and Bending Stress Calculator

✖Direct Stress is defined as axial thrust acting per unit area.ⓘ Direct Stress [σ]			+10% -10%
✖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%

✖Minimum Bending Stress is the minimum stress caused by the bending moments.ⓘ Minimum Bending Stress given Direct and Bending Stress [σb^min]

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Formula

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Minimum Bending Stress given Direct and Bending Stress

Formula

`"σb"^{"min"} = "σ"-"σ"_{"b"}`

Example

`"0.01MPa"="0.05MPa"-"0.04MPa"`

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Minimum Bending Stress given Direct and Bending Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Minimum Bending Stress = Direct Stress-Bending Stress in Column
σb^min = σ-σ_b
This formula uses 3 Variables

Variables Used

Minimum Bending Stress - (Measured in Pascal) - Minimum Bending Stress is the minimum stress caused by the bending moments.
Direct Stress - (Measured in Pascal) - Direct Stress is defined as axial thrust acting per unit area.
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.

STEP 1: Convert Input(s) to Base Unit

Direct Stress: 0.05 Megapascal --> 50000 Pascal (Check conversion here)
Bending Stress in Column: 0.04 Megapascal --> 40000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σb^min = σ-σ_b --> 50000-40000

Evaluating ... ...

σb^min = 10000

STEP 3: Convert Result to Output's Unit

10000 Pascal -->0.01 Megapascal (Check conversion here)

FINAL ANSWER

0.01 Megapascal <-- Minimum Bending Stress

(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 » Minimum Bending Stress given Direct and Bending Stress

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Verified by Parul Keshav

National Institute of Technology (NIT), Srinagar

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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

Minimum Bending Stress given Direct and Bending Stress Formula

Minimum Bending Stress = Direct Stress-Bending Stress in Column
σb^min = σ-σ_b

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 Minimum Bending Stress given Direct and Bending Stress?

Minimum Bending Stress given Direct and Bending Stress calculator uses Minimum Bending Stress = Direct Stress-Bending Stress in Column to calculate the Minimum Bending Stress, The Minimum bending stress given direct and bending stress formula is defined as a more specific type of normal stress. Minimum Bending Stress is denoted by σb^min symbol.

How to calculate Minimum Bending Stress given Direct and Bending Stress using this online calculator? To use this online calculator for Minimum Bending Stress given Direct and Bending Stress, enter Direct Stress (σ) & Bending Stress in Column (σ_b) and hit the calculate button. Here is how the Minimum Bending Stress given Direct and Bending Stress calculation can be explained with given input values -> 1E-8 = 50000-40000.

FAQ

What is Minimum Bending Stress given Direct and Bending Stress?

The Minimum bending stress given direct and bending stress formula is defined as a more specific type of normal stress and is represented as σb^min = σ-σ_b or Minimum Bending Stress = Direct Stress-Bending Stress in Column. Direct Stress is defined as axial thrust acting per unit area & 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.

How to calculate Minimum Bending Stress given Direct and Bending Stress?

The Minimum bending stress given direct and bending stress formula is defined as a more specific type of normal stress is calculated using Minimum Bending Stress = Direct Stress-Bending Stress in Column. To calculate Minimum Bending Stress given Direct and Bending Stress, you need Direct Stress (σ) & Bending Stress in Column (σ_b). With our tool, you need to enter the respective value for Direct Stress & Bending Stress in Column 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 Minimum Bending Stress?

In this formula, Minimum Bending Stress uses Direct Stress & Bending Stress in Column. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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