Allowable Unit Stress on Timber Columns for Single Member 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%
✖The radius of gyration or gyradius is defined as the radial distance to a point that would have a moment of inertia the same as the body's actual distribution of mass.ⓘ Radius of Gyration [k_G]			+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 for Single Member [P|A]

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Allowable Unit Stress on Timber Columns for Single Member Solution

STEP 0: Pre-Calculation Summary

Formula Used

Allowable Unit Stress = (3.619*Modulus of Elasticity)/((Unsupported Length of Column/Radius of Gyration)^2)
P|A = (3.619*E)/((L/k_G)^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.
Radius of Gyration - (Measured in Meter) - The radius of gyration or gyradius is defined as the radial distance to a point that would have a moment of inertia the same as the body's actual distribution of mass.

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)
Radius of Gyration: 3 Millimeter --> 0.003 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P|A = (3.619*E)/((L/k_G)^2) --> (3.619*50000000)/((1.5/0.003)^2)

Evaluating ... ...

P|A = 723.8

STEP 3: Convert Result to Output's Unit

723.8 Pascal -->0.0007238 Megapascal (Check conversion here)

FINAL ANSWER

0.0007238 ≈ 0.000724 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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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 for Single Member Formula

LaTeX Go

Allowable Unit Stress = (3.619*Modulus of Elasticity)/((Unsupported Length of Column/Radius of Gyration)^2)
P|A = (3.619*E)/((L/k_G)^2)

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 Allowable Unit Stress on Timber Columns for Single Member?

Allowable Unit Stress on Timber Columns for Single Member calculator uses Allowable Unit Stress = (3.619*Modulus of Elasticity)/((Unsupported Length of Column/Radius of Gyration)^2) to calculate the Allowable Unit Stress, The Allowable Unit Stress on Timber Columns for Single Member formula calculates the maximum stress or load allowed per unit area for timber columns. Allowable Unit Stress is denoted by P|A symbol.

How to calculate Allowable Unit Stress on Timber Columns for Single Member using this online calculator? To use this online calculator for Allowable Unit Stress on Timber Columns for Single Member, enter Modulus of Elasticity (E), Unsupported Length of Column (L) & Radius of Gyration (k_G) and hit the calculate button. Here is how the Allowable Unit Stress on Timber Columns for Single Member calculation can be explained with given input values -> 0.000724 = (3.619*50000000)/((1.5/0.003)^2).

FAQ

What is Allowable Unit Stress on Timber Columns for Single Member?

The Allowable Unit Stress on Timber Columns for Single Member formula calculates the maximum stress or load allowed per unit area for timber columns and is represented as P|A = (3.619*E)/((L/k_G)^2) or Allowable Unit Stress = (3.619*Modulus of Elasticity)/((Unsupported Length of Column/Radius of Gyration)^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 & The radius of gyration or gyradius is defined as the radial distance to a point that would have a moment of inertia the same as the body's actual distribution of mass.

How to calculate Allowable Unit Stress on Timber Columns for Single Member?

The Allowable Unit Stress on Timber Columns for Single Member formula calculates the maximum stress or load allowed per unit area for timber columns is calculated using Allowable Unit Stress = (3.619*Modulus of Elasticity)/((Unsupported Length of Column/Radius of Gyration)^2). To calculate Allowable Unit Stress on Timber Columns for Single Member, you need Modulus of Elasticity (E), Unsupported Length of Column (L) & Radius of Gyration (k_G). With our tool, you need to enter the respective value for Modulus of Elasticity, Unsupported Length of Column & Radius of Gyration 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 & Radius of Gyration. We can use 2 other way(s) to calculate the same, which is/are as follows -

Allowable Unit Stress = (0.3*Modulus of Elasticity)/((Unsupported Length of Column/Least Dimension)^2)
Allowable Unit Stress = (0.22*Modulus of Elasticity)/((Unsupported Length of Column/Least Dimension)^2)

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