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Allowable Compressive Stress in Rectangular Section Formula

GoAllowable Compressive Stress Parallel to Grain for Intermediate Columns Formula

GoAllowable Compressive Stress Parallel to Grain for Long Columns Formula

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Allowable compressive stress in given column either long column, short column or intermediate column parallel to the grain. Check FAQs

f = \frac{0.3 \cdot E}{{(\frac{L Unbraced}{d})}^{2}}

f - Allowable Compressive Stress in Given Column?E - Modulus of Elasticity?L_Unbraced - Unbraced Length of Member?d - Least Dimension?

Allowable Compressive Stress in Rectangular Section Example

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With units

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Here is how the Allowable Compressive Stress in Rectangular Section equation looks like with Values.

Here is how the Allowable Compressive Stress in Rectangular Section equation looks like with Units.

Here is how the Allowable Compressive Stress in Rectangular Section equation looks like.

0.6 = \frac{0.3 \cdot 50}{{(\frac{1000}{200})}^{2}}

0.6MPa = \frac{0.3 \cdot 50MPa}{{(\frac{1000mm}{200mm})}^{2}}

0.6 = \frac{0.3 \cdot 50}{{(\frac{1000}{200})}^{2}}

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Allowable Compressive Stress in Rectangular Section Solution

Follow our step by step solution on how to calculate Allowable Compressive Stress in Rectangular Section?

FIRST Step Consider the formula

f = \frac{0.3 \cdot E}{{(\frac{L Unbraced}{d})}^{2}}

Next Step Substitute values of Variables

∴

f = \frac{0.3 \cdot 50MPa}{{(\frac{1000mm}{200mm})}^{2}}

Next Step Convert Units

∴

f = \frac{0.3 \cdot 5E+7Pa}{{(\frac{1m}{0.2m})}^{2}}

Next Step Prepare to Evaluate

∴

f = \frac{0.3 \cdot 5E+7}{{(\frac{1}{0.2})}^{2}}

Next Step Evaluate

∴

f = 600000Pa

LAST Step Convert to Output's Unit

∴

f = 0.6MPa

Allowable Compressive Stress in Rectangular Section Formula Elements

Variables

Allowable Compressive Stress in Given Column

Allowable compressive stress in given column either long column, short column or intermediate column parallel to the grain.

Symbol: f

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Allowable Compressive Stress in Given Column

Modulus of Elasticity

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.

Symbol: E

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity

Unbraced Length of Member

Unbraced length of member is defined as the distance between adjacent Points.

Symbol: L_Unbraced

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Unbraced Length of Member

Least Dimension

Least Dimension is the measure of the shortest side of the column.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Least Dimension

Other Formulas to find Allowable Compressive Stress in Given Column

Go Allowable Compressive Stress Parallel to Grain for Intermediate Columns

f = f c \cdot (1 - (\frac{1}{3}) \cdot {(\frac{\frac{L Unbraced}{d}}{k col})}^{4})

Go Allowable Compressive Stress Parallel to Grain for Long Columns

f = \frac{0.274 \cdot E}{{(\frac{L Unbraced}{d})}^{2}}

Other formulas in Forest Products Laboratory Recommendations category

Go Elasticity Modulus for Allowable Compressive Stress in Rectangular Section

E = \frac{f \cdot {(\frac{L Unbraced}{d})}^{2}}{0.3}

How to Evaluate Allowable Compressive Stress in Rectangular Section?

Allowable Compressive Stress in Rectangular Section evaluator uses Allowable Compressive Stress in Given Column = (0.3*Modulus of Elasticity)/(Unbraced Length of Member/Least Dimension)^2 to evaluate the Allowable Compressive Stress in Given Column, The Allowable Compressive Stress in Rectangular Section formula is defined as it calculates the maximum compressive stress allowed in a rectangular section. Allowable Compressive Stress in Given Column is denoted by f symbol.

How to evaluate Allowable Compressive Stress in Rectangular Section using this online evaluator? To use this online evaluator for Allowable Compressive Stress in Rectangular Section, enter Modulus of Elasticity (E), Unbraced Length of Member (L_Unbraced) & Least Dimension (d) and hit the calculate button.

FAQs on Allowable Compressive Stress in Rectangular Section

What is the formula to find Allowable Compressive Stress in Rectangular Section?

The formula of Allowable Compressive Stress in Rectangular Section is expressed as Allowable Compressive Stress in Given Column = (0.3*Modulus of Elasticity)/(Unbraced Length of Member/Least Dimension)^2. Here is an example- 6E-7 = (0.3*50000000)/(1/0.2)^2.

How to calculate Allowable Compressive Stress in Rectangular Section?

With Modulus of Elasticity (E), Unbraced Length of Member (L_Unbraced) & Least Dimension (d) we can find Allowable Compressive Stress in Rectangular Section using the formula - Allowable Compressive Stress in Given Column = (0.3*Modulus of Elasticity)/(Unbraced Length of Member/Least Dimension)^2.

What are the other ways to Calculate Allowable Compressive Stress in Given Column?

Here are the different ways to Calculate Allowable Compressive Stress in Given Column-

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 Given Column=(0.274*Modulus of Elasticity)/(Unbraced Length of Member/Least Dimension)^2

Can the Allowable Compressive Stress in Rectangular Section be negative?

No, the Allowable Compressive Stress in Rectangular Section, measured in Stress cannot be negative.

Which unit is used to measure Allowable Compressive Stress in Rectangular Section?

Allowable Compressive Stress in Rectangular Section is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Allowable Compressive Stress in Rectangular Section can be measured.

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Allowable Compressive Stress in Rectangular Section Formula

​GoAllowable Compressive Stress Parallel to Grain for Intermediate Columns Formula

​GoAllowable Compressive Stress Parallel to Grain for Long Columns Formula

Allowable Compressive Stress in Rectangular Section Example

Allowable Compressive Stress in Rectangular Section Solution

Allowable Compressive Stress in Rectangular Section Formula Elements

Other Formulas to find Allowable Compressive Stress in Given Column

Other formulas in Forest Products Laboratory Recommendations category

How to Evaluate Allowable Compressive Stress in Rectangular Section?

FAQs on Allowable Compressive Stress in Rectangular Section

Variable Name

GoAllowable Compressive Stress Parallel to Grain for Intermediate Columns Formula

GoAllowable Compressive Stress Parallel to Grain for Long Columns Formula