Allowable Compressive Stress in Rectangular Section Calculator

✖The Modulus of Elasticity is the measure of the stiffness of a material. It is the slope of stress and strain diagram up to the limit of proportionality.ⓘ Modulus of Elasticity [E]			+10% -10%
✖Unbraced length of member is defined as the distance between adjacent Points.ⓘ Unbraced Length of Member [L_Unbraced]			+10% -10%
✖Least Dimension is the measure of the shortest side of the column.ⓘ Least Dimension [d]			+10% -10%

✖Allowable compressive stress in given column either long column, short column or intermediate column parallel to the grain.ⓘ Allowable Compressive Stress in Rectangular Section [f]

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Formula

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Allowable Compressive Stress in Rectangular Section

Formula

`"f" = (0.3*"E")/("L"_{"Unbraced"}/"d")^2`

Example

`"0.6MPa"=(0.3*"50MPa")/("1000mm"/"200mm")^2`

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Allowable Compressive Stress in Rectangular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Allowable Compressive Stress in Given Column = (0.3*Modulus of Elasticity)/(Unbraced Length of Member/Least Dimension)^2
f = (0.3*E)/(L_Unbraced/d)^2
This formula uses 4 Variables

Variables Used

Allowable Compressive Stress in Given Column - (Measured in Pascal) - Allowable compressive stress in given column either long column, short column or intermediate column parallel to the grain.
Modulus of Elasticity - (Measured in Pascal) - The Modulus of Elasticity is the measure of the stiffness of a material. It is the slope of stress and strain diagram up to the limit of proportionality.
Unbraced Length of Member - (Measured in Meter) - Unbraced length of member is defined as the distance between adjacent Points.
Least Dimension - (Measured in Meter) - Least Dimension is the measure of the shortest side of the column.

STEP 1: Convert Input(s) to Base Unit

Modulus of Elasticity: 50 Megapascal --> 50000000 Pascal (Check conversion here)
Unbraced Length of Member: 1000 Millimeter --> 1 Meter (Check conversion here)
Least Dimension: 200 Millimeter --> 0.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = (0.3*E)/(L_Unbraced/d)^2 --> (0.3*50000000)/(1/0.2)^2

Evaluating ... ...

f = 600000

STEP 3: Convert Result to Output's Unit

600000 Pascal -->0.6 Megapascal (Check conversion here)

FINAL ANSWER

0.6 Megapascal <-- Allowable Compressive Stress in Given Column

(Calculation completed in 00.004 seconds)

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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Allowable Compressive Stress Parallel to Grain for Intermediate Columns

Go Allowable Compressive Stress in Given Column = Allowable Compressive Stress in Short Column*(1-(1/3)*((Unbraced Length of Member/Least Dimension)/Value of k for Columns)^4)

Allowable Compressive Stress Parallel to Grain for Long Columns

Go Allowable Compressive Stress in Given Column = (0.274*Modulus of Elasticity)/(Unbraced Length of Member/Least Dimension)^2

Elasticity Modulus for Allowable Compressive Stress in Rectangular Section

Go Modulus of Elasticity = (Allowable Compressive Stress in Given Column*(Unbraced Length of Member/Least Dimension)^2)/0.3

Allowable Compressive Stress in Rectangular Section

Go Allowable Compressive Stress in Given Column = (0.3*Modulus of Elasticity)/(Unbraced Length of Member/Least Dimension)^2

Allowable Compressive Stress in Rectangular Section Formula

Allowable Compressive Stress in Given Column = (0.3*Modulus of Elasticity)/(Unbraced Length of Member/Least Dimension)^2
f = (0.3*E)/(L_Unbraced/d)^2

How do you calculate Allowable Compressive Stress?

Divide the yield strength by the factor of safety to calculate the allowable stress. For example: the allowable stress of A36 steel = 36,000 psi / 4.0 = 9,000 pounds per square inch.

How do you calculate Permissible Compressive Stress?

Permissible stresses are obtained by dividing the ultimate strength of concrete or yield strength of steel (0.2% proof stress) by appropriate factors of safety. The factors of safety used in the working stress method are (i) For concrete (a) in bending compression – 3.0. (b) in direct compression- 2.0.

How to Calculate Allowable Compressive Stress in Rectangular Section?

Allowable Compressive Stress in Rectangular Section calculator uses Allowable Compressive Stress in Given Column = (0.3*Modulus of Elasticity)/(Unbraced Length of Member/Least Dimension)^2 to calculate the Allowable Compressive Stress in Given Column, The Allowable Compressive Stress in Rectangular Section formula is defined as it calculates the maximum compressive stress allowed in a rectangular section. Allowable Compressive Stress in Given Column is denoted by f symbol.

How to calculate Allowable Compressive Stress in Rectangular Section using this online calculator? To use this online calculator for Allowable Compressive Stress in Rectangular Section, enter Modulus of Elasticity (E), Unbraced Length of Member (L_Unbraced) & Least Dimension (d) and hit the calculate button. Here is how the Allowable Compressive Stress in Rectangular Section calculation can be explained with given input values -> 6E-7 = (0.3*50000000)/(1/0.2)^2.

FAQ

What is Allowable Compressive Stress in Rectangular Section?

The Allowable Compressive Stress in Rectangular Section formula is defined as it calculates the maximum compressive stress allowed in a rectangular section and is represented as f = (0.3*E)/(L_Unbraced/d)^2 or Allowable Compressive Stress in Given Column = (0.3*Modulus of Elasticity)/(Unbraced Length of Member/Least Dimension)^2. The Modulus of Elasticity is the measure of the stiffness of a material. It is the slope of stress and strain diagram up to the limit of proportionality, Unbraced length of member is defined as the distance between adjacent Points & Least Dimension is the measure of the shortest side of the column.

How to calculate Allowable Compressive Stress in Rectangular Section?

The Allowable Compressive Stress in Rectangular Section formula is defined as it calculates the maximum compressive stress allowed in a rectangular section is calculated using Allowable Compressive Stress in Given Column = (0.3*Modulus of Elasticity)/(Unbraced Length of Member/Least Dimension)^2. To calculate Allowable Compressive Stress in Rectangular Section, you need Modulus of Elasticity (E), Unbraced Length of Member (L_Unbraced) & Least Dimension (d). With our tool, you need to enter the respective value for Modulus of Elasticity, Unbraced Length of Member & Least Dimension 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 Allowable Compressive Stress in Given Column?

In this formula, Allowable Compressive Stress in Given Column uses Modulus of Elasticity, Unbraced Length of Member & Least Dimension. We can use 2 other way(s) to calculate the same, which is/are as follows -

Allowable Compressive Stress in Given Column = Allowable Compressive Stress in Short Column*(1-(1/3)*((Unbraced Length of Member/Least Dimension)/Value of k for Columns)^4)
Allowable Compressive Stress in Given Column = (0.274*Modulus of Elasticity)/(Unbraced Length of Member/Least Dimension)^2

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