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Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight Formula

GoModulus of Elasticity of Bar with known elongation of Truncated Conical Rod due to Self Weight Formula

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Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain. Check FAQs

E = \frac{(γ Rod \cdot l^{2}) \cdot (d 1 + d 2)}{6 \cdot δl \cdot (d 1 - d 2)}

E - Young's Modulus?γ_Rod - Specific Weight of Rod?l - Length of Tapered Bar?d₁ - Diameter1?d₂ - Diameter2?δl - Elongation?

Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight Example

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Here is how the Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight equation looks like with Values.

Here is how the Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight equation looks like with Units.

Here is how the Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight equation looks like.

19999.9738 = \frac{(4930.96 \cdot {7.8}^{2}) \cdot (0.045 + 0.035)}{6 \cdot 0.02 \cdot (0.045 - 0.035)}

19999.9738MPa = \frac{(4930.96kN/m³ \cdot {7.8m}^{2}) \cdot (0.045m + 0.035m)}{6 \cdot 0.02m \cdot (0.045m - 0.035m)}

19999.9738 = \frac{(4930.96 \cdot {7.8}^{2}) \cdot (0.045 + 0.035)}{6 \cdot 0.02 \cdot (0.045 - 0.035)}

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Strength of Materials » fx Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight

Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight Solution

Follow our step by step solution on how to calculate Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight?

FIRST Step Consider the formula

E = \frac{(γ Rod \cdot l^{2}) \cdot (d 1 + d 2)}{6 \cdot δl \cdot (d 1 - d 2)}

Next Step Substitute values of Variables

∴

E = \frac{(4930.96kN/m³ \cdot {7.8m}^{2}) \cdot (0.045m + 0.035m)}{6 \cdot 0.02m \cdot (0.045m - 0.035m)}

Next Step Convert Units

∴

E = \frac{(4.9E+6N/m³ \cdot {7.8m}^{2}) \cdot (0.045m + 0.035m)}{6 \cdot 0.02m \cdot (0.045m - 0.035m)}

Next Step Prepare to Evaluate

∴

E = \frac{(4.9E+6 \cdot {7.8}^{2}) \cdot (0.045 + 0.035)}{6 \cdot 0.02 \cdot (0.045 - 0.035)}

Next Step Evaluate

∴

E = 19999973760Pa

Next Step Convert to Output's Unit

∴

E = 19999.97376MPa

LAST Step Rounding Answer

∴

E = 19999.9738MPa

Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight Formula Elements

Variables

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Young's Modulus

Specific Weight of Rod

Specific Weight of Rod is defined as weight per unit volume of the rod.

Symbol: γ_Rod

Measurement: Specific WeightUnit: kN/m³

Note: Value can be positive or negative.

Formulas to find Specific Weight of Rod

Length of Tapered Bar

The Length of Tapered Bar is defined as the total length of the Bar.

Symbol: l

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Tapered Bar

Diameter1

Diameter1 is the diameter on one side of the rod.

Symbol: d₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Diameter1

Diameter2

Diameter2 is the length of the diameter on 2nd side.

Symbol: d₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter2

Elongation

Elongation is defined as the length at breaking point expressed as a percentage of its original length (i.e. length at rest).

Symbol: δl

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Elongation

Other Formulas to find Young's Modulus

Go Modulus of Elasticity of Bar with known elongation of Truncated Conical Rod due to Self Weight

E = \frac{(γ Rod \cdot l^{2}) \cdot (d 1 + d 2)}{6 \cdot δl \cdot (d 1 - d 2)}

Other formulas in Elongation due to Self weight category

Go Elongation of Truncated Conical Rod due to Self Weight

δl = \frac{(γ Rod \cdot l^{2}) \cdot (d 1 + d 2)}{6 \cdot E \cdot (d 1 - d 2)}

Go Specific weight of Truncated Conical Rod using its elongation due to Self Weight

γ Rod = \frac{δl}{\frac{(l^{2}) \cdot (d 1 + d 2)}{6 \cdot E \cdot (d 1 - d 2)}}

Go Length of Rod of Truncated Conical Section

l = \sqrt{\frac{δl}{\frac{(γ Rod) \cdot (d 1 + d 2)}{6 \cdot E \cdot (d 1 - d 2)}}}

Go Elongation due to Self Weight in Prismatic Bar

δl = γ Rod \cdot L \cdot \frac{L}{E \cdot 2}

How to Evaluate Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight?

Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight evaluator uses Young's Modulus = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Elongation*(Diameter1-Diameter2)) to evaluate the Young's Modulus, The Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight is defined as ratio of normal stress to strain. Young's Modulus is denoted by E symbol.

How to evaluate Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight using this online evaluator? To use this online evaluator for Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight, enter Specific Weight of Rod (γ_Rod), Length of Tapered Bar (l), Diameter1 (d₁), Diameter2 (d₂) & Elongation (δl) and hit the calculate button.

FAQs on Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight

What is the formula to find Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight?

The formula of Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight is expressed as Young's Modulus = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Elongation*(Diameter1-Diameter2)). Here is an example- 0.000284 = ((4930960*7.8^2)*(0.045+0.035))/(6*0.02*(0.045-0.035)).

How to calculate Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight?

With Specific Weight of Rod (γ_Rod), Length of Tapered Bar (l), Diameter1 (d₁), Diameter2 (d₂) & Elongation (δl) we can find Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight using the formula - Young's Modulus = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Elongation*(Diameter1-Diameter2)).

What are the other ways to Calculate Young's Modulus?

Here are the different ways to Calculate Young's Modulus-

Young's Modulus=((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Elongation*(Diameter1-Diameter2))

Can the Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight be negative?

Yes, the Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight, measured in Stress can be negative.

Which unit is used to measure Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight?

Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight 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 Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight can be measured.

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Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight Formula

​GoModulus of Elasticity of Bar with known elongation of Truncated Conical Rod due to Self Weight Formula

Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight Example

Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight Solution

Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight Formula Elements

Other Formulas to find Young's Modulus

Other formulas in Elongation due to Self weight category

How to Evaluate Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight?

FAQs on Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight

Variable Name

GoModulus of Elasticity of Bar with known elongation of Truncated Conical Rod due to Self Weight Formula