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Elasticity Modulus for Allowable Compressive Stress in Rectangular Section Formula

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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. Check FAQs

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

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

Elasticity Modulus for Allowable Compressive Stress in Rectangular Section Example

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

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

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

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

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

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

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Elasticity Modulus for Allowable Compressive Stress in Rectangular Section Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

E = \frac{600000Pa \cdot {(\frac{1m}{0.2m})}^{2}}{0.3}

Next Step Prepare to Evaluate

∴

E = \frac{600000 \cdot {(\frac{1}{0.2})}^{2}}{0.3}

Next Step Evaluate

∴

E = 50000000Pa

LAST Step Convert to Output's Unit

∴

E = 50MPa

Elasticity Modulus for Allowable Compressive Stress in Rectangular Section Formula Elements

Variables

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

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

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 in Forest Products Laboratory Recommendations category

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}}

Go Allowable Compressive Stress in Rectangular Section

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

How to Evaluate Elasticity Modulus for Allowable Compressive Stress in Rectangular Section?

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

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

FAQs on Elasticity Modulus for Allowable Compressive Stress in Rectangular Section

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

The formula of Elasticity Modulus for Allowable Compressive Stress in Rectangular Section is expressed as Modulus of Elasticity = (Allowable Compressive Stress in Given Column*(Unbraced Length of Member/Least Dimension)^2)/0.3. Here is an example- 5E-5 = (600000*(1/0.2)^2)/0.3.

How to calculate Elasticity Modulus for Allowable Compressive Stress in Rectangular Section?

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

Can the Elasticity Modulus for Allowable Compressive Stress in Rectangular Section be negative?

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

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

Elasticity Modulus for 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 Elasticity Modulus for Allowable Compressive Stress in Rectangular Section can be measured.

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Elasticity Modulus for Allowable Compressive Stress in Rectangular Section Formula

Elasticity Modulus for Allowable Compressive Stress in Rectangular Section Example

Elasticity Modulus for Allowable Compressive Stress in Rectangular Section Solution

Elasticity Modulus for Allowable Compressive Stress in Rectangular Section Formula Elements

Other formulas in Forest Products Laboratory Recommendations category

How to Evaluate Elasticity Modulus for Allowable Compressive Stress in Rectangular Section?

FAQs on Elasticity Modulus for Allowable Compressive Stress in Rectangular Section

Variable Name