Elasticity Modulus for Allowable Compressive Stress in Rectangular Section Calculator

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

✖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.ⓘ Elasticity Modulus for Allowable Compressive Stress in Rectangular Section [E]

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Elasticity Modulus for Allowable Compressive Stress in Rectangular Section

Formula

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

Example

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

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Elasticity Modulus for Allowable Compressive Stress in Rectangular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Allowable Compressive Stress in Given Column: 0.6 Megapascal --> 600000 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

E = (f*(L_Unbraced/d)^2)/0.3 --> (600000*(1/0.2)^2)/0.3

Evaluating ... ...

E = 50000000

STEP 3: Convert Result to Output's Unit

50000000 Pascal -->50 Megapascal (Check conversion here)

FINAL ANSWER

50 Megapascal <-- Modulus of Elasticity

(Calculation completed in 00.004 seconds)

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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

Elasticity Modulus for Allowable Compressive Stress in Rectangular Section Formula

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

What do you mean by Modulus of elasticity?

Modulus of elasticity is a measure of stiffness, with higher-modulus materials exhibiting less deformation under load compared to low-modulus materials. When making a repair, the modulus of elasticity should be similar to that of the concrete substrate. This allows for uniform load transfer across a repaired section.

How do you calculate Allowable Compressive Stress & Permissible 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.
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 Elasticity Modulus for Allowable Compressive Stress in Rectangular Section?

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

How to calculate Elasticity Modulus for Allowable Compressive Stress in Rectangular Section using this online calculator? To use this online calculator for Elasticity Modulus for Allowable Compressive Stress in Rectangular Section, enter Allowable Compressive Stress in Given Column (f), Unbraced Length of Member (L_Unbraced) & Least Dimension (d) and hit the calculate button. Here is how the Elasticity Modulus for Allowable Compressive Stress in Rectangular Section calculation can be explained with given input values -> 5E-5 = (600000*(1/0.2)^2)/0.3.

FAQ

What is Elasticity Modulus for Allowable Compressive Stress in Rectangular Section?

The Elasticity Modulus for Allowable Compressive Stress in Rectangular Section formula is defined as it calculates the Modulus of elasticity when we have prior info on the maximum allowed compressive stress in a rectangular section and is represented as E = (f*(L_Unbraced/d)^2)/0.3 or Modulus of Elasticity = (Allowable Compressive Stress in Given Column*(Unbraced Length of Member/Least Dimension)^2)/0.3. Allowable compressive stress in given column either long column, short column or intermediate column parallel to the grain, 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 Elasticity Modulus for Allowable Compressive Stress in Rectangular Section?

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

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