Minimum 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%

✖The Minimum stress value for fluctuating stress is defined as refers to the minimum compressive stress.ⓘ Minimum stress [σ_min]

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Formula

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Minimum stress

Formula

`"σ"_{"min"} = ("σ"-"σ"_{"b"})`

Example

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

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Minimum stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Minimum Stress Value = (Direct Stress-Bending Stress in Column)
σ_min = (σ-σ_b)
This formula uses 3 Variables

Variables Used

Minimum Stress Value - (Measured in Pascal) - The Minimum stress value for fluctuating stress is defined as refers to the minimum compressive stress.
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

σ_min = (σ-σ_b) --> (50000-40000)

Evaluating ... ...

σ_min = 10000

STEP 3: Convert Result to Output's Unit

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

FINAL ANSWER

0.01 Megapascal <-- Minimum Stress Value

(Calculation completed in 00.008 seconds)

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Home » Physics » Strength of Materials » Direct And Bending Stress » Resultant Stress » Rectangular Section Is Subjected To Eccentric Load » Minimum stress

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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 Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has verified this Calculator and 400+ more calculators!

< 22 Rectangular Section Is Subjected To Eccentric Load Calculators

Maximum stress when subjected to eccentric axial load

Go Maximum Stress on Column Section = (Eccentric load on column/Column Cross Sectional Area)+((Eccentric load on column*Eccentricity of Loading*Distance of Outer Fibre from Neutral Axis)/Moment of Inertia about y-y axis)

Width of Column using Bending Stress and Eccentric load

Go Width of column = sqrt((6*Eccentric load on column*Eccentricity of Loading)/(Depth of Column*Bending Stress in Column))

Maximum Stress given Eccentric Load and Eccentricity

Go Maximum Stress on Column Section = (Eccentric load on column*(1+(6*Eccentricity of Loading/Width of column)))/(Column Cross Sectional Area)

Eccentric Load using Maximum Stress

Go Eccentric load on column = (Maximum Stress on Column Section*Column Cross Sectional Area)/(1+(6*Eccentricity of Loading/Width of column))

Eccentricity using Maximum Stress

Go Eccentricity of Loading = ((Maximum Stress on Column Section*Column Cross Sectional Area/Eccentric load on column)-1)*(Width of column/6)

Minimum Stress using Eccentric Load and Eccentricity

Go Minimum Stress Value = (Eccentric load on column*(1-(6*Eccentricity of Loading/Width of column)))/(Column Cross Sectional Area)

Eccentric Load using Minimum Stress

Go Eccentric load on column = (Minimum Stress Value*Column Cross Sectional Area)/(1-(6*Eccentricity of Loading/Width of column))

Eccentricity using Minimum Stress

Go Eccentricity of Loading = (1-(Minimum Stress Value*Column Cross Sectional Area/Eccentric load on column))*(Width of column/6)

Eccentric Load using Bending Stress

Go Eccentric load on column = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/(6*Eccentricity of Loading)

Eccentricity using Bending Stress

Go Eccentricity of Loading = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/(6*Eccentric load on column)

Depth of Column using Bending Stress and Eccentric load

Go Depth of Column = (6*Eccentric load on column*Eccentricity of Loading)/(Bending Stress in Column*(Width of column^2))

Bending Stress using Eccentric Load and Eccentricity

Go Bending Stress in Column = (6*Eccentric load on column*Eccentricity of Loading)/(Depth of Column*(Width of column^2))

Width of Column given Bending Stress and Moment due to Load

Go Width of column = sqrt((6*Moment due to eccentric load)/(Depth of Column*Bending Stress in Column))

Depth of Column using Bending Stress and Moment Due to Load

Go Depth of Column = (6*Moment due to eccentric load)/(Bending Stress in Column*(Width of column^2))

Moment Due to Load given Bending Stress

Go Moment due to eccentric load = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/6

Bending Stress given Moment due to Load

Go Bending Stress in Column = (6*Moment due to eccentric load)/(Depth of Column*(Width of column^2))

Eccentricity for given moment due to eccentric load

Go Eccentricity of Loading = Moment due to eccentric load/Eccentric load on column

Load given Moment due to Eccentric Load

Go Eccentric load on column = Moment due to eccentric load/Eccentricity of Loading

Moment due to eccentric load

Go Moment due to eccentric load = Eccentric load on column*Eccentricity of Loading

Maximum stress

Go Maximum Stress on Column Section = (Direct stress+Bending Stress in Column)

Moment of inertia of column section about neutral axis

Go MOI of Area of Circular Section = (Depth of Column*(Width of column^3))/12

Minimum stress

Go Minimum Stress Value = (Direct Stress-Bending Stress in Column)

Minimum stress Formula

Minimum Stress Value = (Direct Stress-Bending Stress in Column)
σ_min = (σ-σ_b)

What type of stress is developed due to bending?

In torsion of a circular shaft, the action was all shear; contiguous cross-sections sheared over one another in their rotation about the axis of the shaft. Here, the major stresses induced due to bending are normal stresses of tension and compression.

How to Calculate Minimum stress?

Minimum stress calculator uses Minimum Stress Value = (Direct Stress-Bending Stress in Column) to calculate the Minimum Stress Value, The Minimum stress formula is defined as refers to the minimum compressive stress. The stress range was taken as the absolute difference between the maximum and minimum stress. Minimum Stress Value is denoted by σ_min symbol.

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

FAQ

What is Minimum stress?

The Minimum stress formula is defined as refers to the minimum compressive stress. The stress range was taken as the absolute difference between the maximum and minimum stress and is represented as σ_min = (σ-σ_b) or Minimum Stress Value = (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 stress?

The Minimum stress formula is defined as refers to the minimum compressive stress. The stress range was taken as the absolute difference between the maximum and minimum stress is calculated using Minimum Stress Value = (Direct Stress-Bending Stress in Column). To calculate Minimum 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 Stress Value?

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

Minimum Stress Value = (Eccentric load on column*(1-(6*Eccentricity of Loading/Width of column)))/(Column Cross Sectional Area)

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