Allowable Unit Load for Douglas Fir Lumber Solution

STEP 0: Pre-Calculation Summary
Formula Used
Allowable Unit Load = 1200*(1-0.00000112*(Length of Column/Least Dimension)^4)
Q|A = 1200*(1-0.00000112*(L/d)^4)
This formula uses 3 Variables
Variables Used
Allowable Unit Load - (Measured in Newton per Square Millimeter) - Allowable unit load is the maximum load that can be given on the cross-section or lumber in timber.
Length of Column - (Measured in Meter) - Length of Column is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.
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
Length of Column: 5000 Millimeter --> 5 Meter (Check conversion here)
Least Dimension: 200 Millimeter --> 0.2 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q|A = 1200*(1-0.00000112*(L/d)^4) --> 1200*(1-0.00000112*(5/0.2)^4)
Evaluating ... ...
Q|A = 675
STEP 3: Convert Result to Output's Unit
675000000 Pascal -->675 Megapascal (Check conversion here)
FINAL ANSWER
675 Megapascal <-- Allowable Unit Load
(Calculation completed in 00.004 seconds)

Credits

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NSS College of Engineering (NSSCE), Palakkad
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4 Solid Rectangular or Square Columns with Flat Ends Calculators

Allowable Unit Load for Longleaf Yellow Pine Lumber
Go Allowable Unit Load = 1450*(1-0.00000162*(Length of Column/Least Dimension)^4)
Allowable Unit Load for Southern Cypress Lumber
Go Allowable Unit Load = 1100*(1-0.00000168*(Length of Column/Least Dimension)^4)
Allowable Unit Load for Douglas Fir Lumber
Go Allowable Unit Load = 1200*(1-0.00000112*(Length of Column/Least Dimension)^4)
Allowable Unit Load for Hemlock Lumber
Go Allowable Unit Load = 700*(1-0.00000097*(Length of Column/Least Dimension)^4)

Allowable Unit Load for Douglas Fir Lumber Formula

Allowable Unit Load = 1200*(1-0.00000112*(Length of Column/Least Dimension)^4)
Q|A = 1200*(1-0.00000112*(L/d)^4)

What is Douglas Fir Lumber?

Douglas Fir Lumber is medium to extreme-sized evergreen trees (20-100 meters) used for construction (flooring, columns, etc.) due to their strength and hardness.

What is Allowable Load?

The load induces the maximum permissible unit stress at a critical section of a structural member or timber member.

How to Calculate Allowable Unit Load for Douglas Fir Lumber?

Allowable Unit Load for Douglas Fir Lumber calculator uses Allowable Unit Load = 1200*(1-0.00000112*(Length of Column/Least Dimension)^4) to calculate the Allowable Unit Load, The Allowable Unit Load for Douglas Fir Lumber formula is defined as the maximum allowable load that can be carried by the cross-section of Douglas fir lumber. Allowable Unit Load is denoted by Q|A symbol.

How to calculate Allowable Unit Load for Douglas Fir Lumber using this online calculator? To use this online calculator for Allowable Unit Load for Douglas Fir Lumber, enter Length of Column (L) & Least Dimension (d) and hit the calculate button. Here is how the Allowable Unit Load for Douglas Fir Lumber calculation can be explained with given input values -> 0.000675 = 1200*(1-0.00000112*(5/0.2)^4).

FAQ

What is Allowable Unit Load for Douglas Fir Lumber?
The Allowable Unit Load for Douglas Fir Lumber formula is defined as the maximum allowable load that can be carried by the cross-section of Douglas fir lumber and is represented as Q|A = 1200*(1-0.00000112*(L/d)^4) or Allowable Unit Load = 1200*(1-0.00000112*(Length of Column/Least Dimension)^4). Length of Column is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions & Least Dimension is the measure of the shortest side of the column.
How to calculate Allowable Unit Load for Douglas Fir Lumber?
The Allowable Unit Load for Douglas Fir Lumber formula is defined as the maximum allowable load that can be carried by the cross-section of Douglas fir lumber is calculated using Allowable Unit Load = 1200*(1-0.00000112*(Length of Column/Least Dimension)^4). To calculate Allowable Unit Load for Douglas Fir Lumber, you need Length of Column (L) & Least Dimension (d). With our tool, you need to enter the respective value for 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 Load?
In this formula, Allowable Unit Load uses Length of Column & Least Dimension. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Allowable Unit Load = 700*(1-0.00000097*(Length of Column/Least Dimension)^4)
  • Allowable Unit Load = 1450*(1-0.00000162*(Length of Column/Least Dimension)^4)
  • Allowable Unit Load = 1100*(1-0.00000168*(Length of Column/Least Dimension)^4)
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