Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns Calculator

✖Allowable unit stress is the maximum load or stress allowed per unit area of the timber column.ⓘ Allowable Unit Stress [P\|A]			+10% -10%
✖Unsupported Length of Column is the distance between the end supports of a beam.ⓘ Unsupported Length of Column [L]			+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 given Allowable Unit Stress of Square or Rectangular Timber Columns [E]

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Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity = (Allowable Unit Stress*((Unsupported Length of Column/Least Dimension)^2))/0.3
E = (P|A*((L/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 Unit Stress - (Measured in Pascal) - Allowable unit stress is the maximum load or stress allowed per unit area of the timber column.
Unsupported Length of Column - (Measured in Meter) - Unsupported Length of Column is the distance between the end supports of a beam.
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 Unit Stress: 1.78 Megapascal --> 1780000 Pascal (Check conversion here)
Unsupported Length of Column: 1500 Millimeter --> 1.5 Meter (Check conversion here)
Least Dimension: 200 Millimeter --> 0.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (P|A*((L/d)^2))/0.3 --> (1780000*((1.5/0.2)^2))/0.3

Evaluating ... ...

E = 333750000

STEP 3: Convert Result to Output's Unit

333750000 Pascal -->333.75 Megapascal (Check conversion here)

FINAL ANSWER

333.75 Megapascal <-- Modulus of Elasticity

(Calculation completed in 00.004 seconds)

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< Columns Calculators

Allowable Unit Stress on Timber Columns for Single Member

LaTeX Go Allowable Unit Stress = (3.619*Modulus of Elasticity)/((Unsupported Length of Column/Radius of Gyration)^2)

Allowable Unit Stress on Timber Columns of Circular Cross Section

LaTeX Go Allowable Unit Stress = (0.22*Modulus of Elasticity)/((Unsupported Length of Column/Least Dimension)^2)

Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns

LaTeX Go Modulus of Elasticity = (Allowable Unit Stress*((Unsupported Length of Column/Least Dimension)^2))/0.3

Allowable Unit Stress on Timber Columns of Square or Rectangular Cross Section

LaTeX Go Allowable Unit Stress = (0.3*Modulus of Elasticity)/((Unsupported Length of Column/Least Dimension)^2)

Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns Formula

LaTeX Go

Modulus of Elasticity = (Allowable Unit Stress*((Unsupported Length of Column/Least Dimension)^2))/0.3
E = (P|A*((L/d)^2))/0.3

What is Allowable Unit Stress?

Allowable Unit Stress is the maximum stress per unit area (tensile, compressive or bending) that is allowed to be applied on a structural material.

How to Calculate Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns?

Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns calculator uses Modulus of Elasticity = (Allowable Unit Stress*((Unsupported Length of Column/Least Dimension)^2))/0.3 to calculate the Modulus of Elasticity, The Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns formula calculates the modulus of elasticity when we have prior info of Allowable Unit Stress from timber columns whose cross-section shape is either rectangular or square. Modulus of Elasticity is denoted by E symbol.

How to calculate Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns using this online calculator? To use this online calculator for Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns, enter Allowable Unit Stress (P|A), Unsupported Length of Column (L) & Least Dimension (d) and hit the calculate button. Here is how the Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns calculation can be explained with given input values -> 3.3E-10 = (1780000*((1.5/0.2)^2))/0.3.

FAQ

What is Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns?

The Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns formula calculates the modulus of elasticity when we have prior info of Allowable Unit Stress from timber columns whose cross-section shape is either rectangular or square and is represented as E = (P|A*((L/d)^2))/0.3 or Modulus of Elasticity = (Allowable Unit Stress*((Unsupported Length of Column/Least Dimension)^2))/0.3. Allowable unit stress is the maximum load or stress allowed per unit area of the timber column, Unsupported Length of Column is the distance between the end supports of a beam & Least Dimension is the measure of the shortest side of the column.

How to calculate Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns?

The Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns formula calculates the modulus of elasticity when we have prior info of Allowable Unit Stress from timber columns whose cross-section shape is either rectangular or square is calculated using Modulus of Elasticity = (Allowable Unit Stress*((Unsupported Length of Column/Least Dimension)^2))/0.3. To calculate Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns, you need Allowable Unit Stress (P|A), Unsupported Length of Column (L) & Least Dimension (d). With our tool, you need to enter the respective value for Allowable Unit Stress, Unsupported Length of Column & 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 Modulus of Elasticity?

In this formula, Modulus of Elasticity uses Allowable Unit Stress, Unsupported Length of Column & Least Dimension. We can use 1 other way(s) to calculate the same, which is/are as follows -

Modulus of Elasticity = (Allowable Unit Stress*((Unsupported Length of Column/Least Dimension)^2))/0.22

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