Allowable Unit Stress on Timber Columns of Square or Rectangular Cross 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%
✖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%

✖Allowable unit stress is the maximum load or stress allowed per unit area of the timber column.ⓘ Allowable Unit Stress on Timber Columns of Square or Rectangular Cross Section [P|A]

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

STEP 0: Pre-Calculation Summary

Formula Used

Allowable Unit Stress = (0.3*Modulus of Elasticity)/((Unsupported Length of Column/Least Dimension)^2)
P|A = (0.3*E)/((L/d)^2)
This formula uses 4 Variables

Variables Used

Allowable Unit Stress - (Measured in Pascal) - Allowable unit stress is the maximum load or stress allowed per unit area of the timber column.
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.
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

Modulus of Elasticity: 50 Megapascal --> 50000000 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

P|A = (0.3*E)/((L/d)^2) --> (0.3*50000000)/((1.5/0.2)^2)

Evaluating ... ...

P|A = 266666.666666667

STEP 3: Convert Result to Output's Unit

266666.666666667 Pascal -->0.266666666666667 Megapascal (Check conversion here)

FINAL ANSWER

0.266666666666667 ≈ 0.266667 Megapascal <-- Allowable Unit Stress

(Calculation completed in 00.020 seconds)

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Created by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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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)

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

LaTeX Go

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

What is Allowable Unit Stress?

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

How to Calculate Allowable Unit Stress on Timber Columns of Square or Rectangular Cross Section?

Allowable Unit Stress on Timber Columns of Square or Rectangular Cross Section calculator uses Allowable Unit Stress = (0.3*Modulus of Elasticity)/((Unsupported Length of Column/Least Dimension)^2) to calculate the Allowable Unit Stress, The Allowable Unit Stress on Timber Columns of Square or Rectangular Cross Section formula calculates the maximum stress or load allowed per unit area of the timber columns whose cross-sectional shape is either rectangular or square. Allowable Unit Stress is denoted by P|A symbol.

How to calculate Allowable Unit Stress on Timber Columns of Square or Rectangular Cross Section using this online calculator? To use this online calculator for Allowable Unit Stress on Timber Columns of Square or Rectangular Cross Section, enter Modulus of Elasticity (E), Unsupported Length of Column (L) & Least Dimension (d) and hit the calculate button. Here is how the Allowable Unit Stress on Timber Columns of Square or Rectangular Cross Section calculation can be explained with given input values -> 0.266667 = (0.3*50000000)/((1.5/0.2)^2).

FAQ

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

The Allowable Unit Stress on Timber Columns of Square or Rectangular Cross Section formula calculates the maximum stress or load allowed per unit area of the timber columns whose cross-sectional shape is either rectangular or square and is represented as P|A = (0.3*E)/((L/d)^2) or Allowable Unit Stress = (0.3*Modulus of Elasticity)/((Unsupported Length of Column/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, 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 Allowable Unit Stress on Timber Columns of Square or Rectangular Cross Section?

The Allowable Unit Stress on Timber Columns of Square or Rectangular Cross Section formula calculates the maximum stress or load allowed per unit area of the timber columns whose cross-sectional shape is either rectangular or square is calculated using Allowable Unit Stress = (0.3*Modulus of Elasticity)/((Unsupported Length of Column/Least Dimension)^2). To calculate Allowable Unit Stress on Timber Columns of Square or Rectangular Cross Section, you need Modulus of Elasticity (E), Unsupported Length of Column (L) & Least Dimension (d). With our tool, you need to enter the respective value for Modulus of Elasticity, 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 Allowable Unit Stress?

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

Allowable Unit Stress = (3.619*Modulus of Elasticity)/((Unsupported Length of Column/Radius of Gyration)^2)
Allowable Unit Stress = (0.22*Modulus of Elasticity)/((Unsupported Length of Column/Least Dimension)^2)

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