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Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns Formula

GoElasticity Modulus using Allowable Unit Stress of Circular Timber Columns 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{P|A \cdot ({(\frac{L}{d})}^{2})}{0.3}

E - Modulus of Elasticity?P|A - Allowable Unit Stress?L - Unsupported Length of Column?d - Least Dimension?

Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns Example

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Here is how the Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns equation looks like with Values.

Here is how the Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns equation looks like with Units.

Here is how the Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns equation looks like.

333.75 = \frac{1.78 \cdot ({(\frac{1500}{200})}^{2})}{0.3}

333.75MPa = \frac{1.78MPa \cdot ({(\frac{1500mm}{200mm})}^{2})}{0.3}

333.75 = \frac{1.78 \cdot ({(\frac{1500}{200})}^{2})}{0.3}

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Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns Solution

Follow our step by step solution on how to calculate Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns?

FIRST Step Consider the formula

E = \frac{P|A \cdot ({(\frac{L}{d})}^{2})}{0.3}

Next Step Substitute values of Variables

∴

E = \frac{1.78MPa \cdot ({(\frac{1500mm}{200mm})}^{2})}{0.3}

Next Step Convert Units

∴

E = \frac{1.8E+6Pa \cdot ({(\frac{1.5m}{0.2m})}^{2})}{0.3}

Next Step Prepare to Evaluate

∴

E = \frac{1.8E+6 \cdot ({(\frac{1.5}{0.2})}^{2})}{0.3}

Next Step Evaluate

∴

E = 333750000Pa

LAST Step Convert to Output's Unit

∴

E = 333.75MPa

Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns 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 Unit Stress

Allowable unit stress is the maximum load or stress allowed per unit area of the timber column.

Symbol: P|A

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Allowable Unit Stress

Unsupported Length of Column

Unsupported Length of Column is the distance between the end supports of a beam.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Unsupported Length of Column

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 Modulus of Elasticity

Go Elasticity Modulus using Allowable Unit Stress of Circular Timber Columns

E = \frac{P|A \cdot ({(\frac{L}{d})}^{2})}{0.22}

Other formulas in Columns category

Go Allowable Unit Stress on Timber Columns for Single Member

P|A = \frac{3.619 \cdot E}{{(\frac{L}{k G})}^{2}}

Go Allowable Unit Stress on Timber Columns of Square or Rectangular Cross Section

P|A = \frac{0.3 \cdot E}{{(\frac{L}{d})}^{2}}

Go Allowable Unit Stress on Timber Columns of Circular Cross Section

P|A = \frac{0.22 \cdot E}{{(\frac{L}{d})}^{2}}

Go Allowable Unit Stress at Angle to Grain

c' = \frac{c \cdot c ⟂}{c \cdot ({\sin (θ)}^{2}) + c ⟂ \cdot ({\cos (θ)}^{2})}

How to Evaluate Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns?

Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns evaluator uses Modulus of Elasticity = (Allowable Unit Stress*((Unsupported Length of Column/Least Dimension)^2))/0.3 to evaluate the Modulus of Elasticity, The Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns formula calculates the modulus of elasticity when we have prior info of Allowable Unit Stress from timber columns whose cross-section shape is either rectangular or square. Modulus of Elasticity is denoted by E symbol.

How to evaluate Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns using this online evaluator? To use this online evaluator for Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns, enter Allowable Unit Stress (P|A), Unsupported Length of Column (L) & Least Dimension (d) and hit the calculate button.

FAQs on Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns

What is the formula to find Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns?

The formula of Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns is expressed as Modulus of Elasticity = (Allowable Unit Stress*((Unsupported Length of Column/Least Dimension)^2))/0.3. Here is an example- 3.3E-10 = (1780000*((1.5/0.2)^2))/0.3.

How to calculate Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns?

With Allowable Unit Stress (P|A), Unsupported Length of Column (L) & Least Dimension (d) we can find Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns using the formula - Modulus of Elasticity = (Allowable Unit Stress*((Unsupported Length of Column/Least Dimension)^2))/0.3.

What are the other ways to Calculate Modulus of Elasticity?

Here are the different ways to Calculate Modulus of Elasticity-

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

Can the Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns be negative?

No, the Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns, measured in Stress cannot be negative.

Which unit is used to measure Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns?

Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns 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 given Allowable Unit Stress of Square or Rectangular Timber Columns can be measured.

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Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns Formula

​GoElasticity Modulus using Allowable Unit Stress of Circular Timber Columns Formula

Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns Example

Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns Solution

Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns Formula Elements

Other Formulas to find Modulus of Elasticity

Other formulas in Columns category

How to Evaluate Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns?

FAQs on Elasticity Modulus given Allowable Unit Stress of Square or Rectangular Timber Columns

Variable Name

GoElasticity Modulus using Allowable Unit Stress of Circular Timber Columns Formula