Allowable Compressive Stress Parallel to Grain for Intermediate Columns Calculator

✖Allowable compressive stress in short column parallel to the grain.ⓘ Allowable Compressive Stress in Short Column [f_c]			+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%
✖Value of k for Columns is the factor used to mention the neutral axis depth.ⓘ Value of k for Columns [k_col]			+10% -10%

✖Allowable compressive stress in given column either long column, short column or intermediate column parallel to the grain.ⓘ Allowable Compressive Stress Parallel to Grain for Intermediate Columns [f]

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Allowable Compressive Stress Parallel to Grain for Intermediate Columns

Formula

`"f" = "f"_{"c"}*(1-(1/3)*(("L"_{"Unbraced"}/"d")/"k"_{"col"})^4)`

Example

`"0.599219MPa"="0.60MPa"*(1-(1/3)*(("1000mm"/"200mm")/"20")^4)`

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Allowable Compressive Stress Parallel to Grain for Intermediate Columns Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
f = f_c*(1-(1/3)*((L_Unbraced/d)/k_col)^4)
This formula uses 5 Variables

Variables Used

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.
Allowable Compressive Stress in Short Column - (Measured in Pascal) - Allowable compressive stress in short 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.
Value of k for Columns - Value of k for Columns is the factor used to mention the neutral axis depth.

STEP 1: Convert Input(s) to Base Unit

Allowable Compressive Stress in Short 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)
Value of k for Columns: 20 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = f_c*(1-(1/3)*((L_Unbraced/d)/k_col)^4) --> 600000*(1-(1/3)*((1/0.2)/20)^4)

Evaluating ... ...

f = 599218.75

STEP 3: Convert Result to Output's Unit

599218.75 Pascal -->0.59921875 Megapascal (Check conversion here)

FINAL ANSWER

0.59921875 ≈ 0.599219 Megapascal <-- Allowable Compressive Stress in Given Column

(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

Allowable Compressive Stress Parallel to Grain for Intermediate Columns Formula

How do you calculate Allowable 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.

How do you calculate Permissible Compressive Stress?

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 Allowable Compressive Stress Parallel to Grain for Intermediate Columns?

Allowable Compressive Stress Parallel to Grain for Intermediate Columns calculator uses 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) to calculate the Allowable Compressive Stress in Given Column, The Allowable Compressive Stress Parallel to Grain for Intermediate Columns formula is defined as it calculates the maximum stress allowed for compression for intermediate columns which acts parallel to the grain. Allowable Compressive Stress in Given Column is denoted by f symbol.

How to calculate Allowable Compressive Stress Parallel to Grain for Intermediate Columns using this online calculator? To use this online calculator for Allowable Compressive Stress Parallel to Grain for Intermediate Columns, enter Allowable Compressive Stress in Short Column (f_c), Unbraced Length of Member (L_Unbraced), Least Dimension (d) & Value of k for Columns (k_col) and hit the calculate button. Here is how the Allowable Compressive Stress Parallel to Grain for Intermediate Columns calculation can be explained with given input values -> 6E-7 = 600000*(1-(1/3)*((1/0.2)/20)^4).

FAQ

What is Allowable Compressive Stress Parallel to Grain for Intermediate Columns?

The Allowable Compressive Stress Parallel to Grain for Intermediate Columns formula is defined as it calculates the maximum stress allowed for compression for intermediate columns which acts parallel to the grain and is represented as f = f_c*(1-(1/3)*((L_Unbraced/d)/k_col)^4) or 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 in short 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 & Value of k for Columns is the factor used to mention the neutral axis depth.

How to calculate Allowable Compressive Stress Parallel to Grain for Intermediate Columns?

The Allowable Compressive Stress Parallel to Grain for Intermediate Columns formula is defined as it calculates the maximum stress allowed for compression for intermediate columns which acts parallel to the grain is calculated using 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). To calculate Allowable Compressive Stress Parallel to Grain for Intermediate Columns, you need Allowable Compressive Stress in Short Column (f_c), Unbraced Length of Member (L_Unbraced), Least Dimension (d) & Value of k for Columns (k_col). With our tool, you need to enter the respective value for Allowable Compressive Stress in Short Column, Unbraced Length of Member, Least Dimension & Value of k for Columns 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 Compressive Stress in Given Column?

In this formula, Allowable Compressive Stress in Given Column uses Allowable Compressive Stress in Short Column, Unbraced Length of Member, Least Dimension & Value of k for Columns. We can use 2 other way(s) to calculate the same, which is/are as follows -

Allowable Compressive Stress in Given Column = (0.274*Modulus of Elasticity)/(Unbraced Length of Member/Least Dimension)^2
Allowable Compressive Stress in Given Column = (0.3*Modulus of Elasticity)/(Unbraced Length of Member/Least Dimension)^2

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