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Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight Formula

GoModulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight Formula

GoModulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area 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 = γ \cdot \frac{{L Taperedbar}^{2}}{6 \cdot δl}

E - Young's Modulus?γ - Specific Weight?L_Taperedbar - Tapered Bar Length?δl - Elongation?

Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight Example

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Here is how the Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight equation looks like with Values.

Here is how the Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight equation looks like with Units.

Here is how the Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight equation looks like.

19964.5833 = 70 \cdot \frac{185^{2}}{6 \cdot 0.02}

19964.5833MPa = 70kN/m³ \cdot \frac{{185m}^{2}}{6 \cdot 0.02m}

19964.5833 = 70 \cdot \frac{185^{2}}{6 \cdot 0.02}

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Strength of Materials » fx Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight

Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight Solution

Follow our step by step solution on how to calculate Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight?

FIRST Step Consider the formula

E = γ \cdot \frac{{L Taperedbar}^{2}}{6 \cdot δl}

Next Step Substitute values of Variables

∴

E = 70kN/m³ \cdot \frac{{185m}^{2}}{6 \cdot 0.02m}

Next Step Convert Units

∴

E = 70000N/m³ \cdot \frac{{185m}^{2}}{6 \cdot 0.02m}

Next Step Prepare to Evaluate

∴

E = 70000 \cdot \frac{185^{2}}{6 \cdot 0.02}

Next Step Evaluate

∴

E = 19964583333.3333Pa

Next Step Convert to Output's Unit

∴

E = 19964.5833333333MPa

LAST Step Rounding Answer

∴

E = 19964.5833MPa

Modulus of Elasticity of Bar given Elongation of Conical Bar 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

Specific Weight is defined as weight per unit volume.

Symbol: γ

Measurement: Specific WeightUnit: kN/m³

Note: Value can be positive or negative.

Formulas to find Specific Weight

Tapered Bar Length

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

Symbol: L_Taperedbar

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Tapered Bar Length

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 Prismatic Bar with known Elongation due to Self Weight

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

Go Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area

E = W Load \cdot \frac{l}{6 \cdot A \cdot δl}

Other formulas in Elongation of Tapering Bar due to Self Weight category

Go Length of Circular Tapering Rod when deflection due to load

L = \frac{δl}{4 \cdot \frac{W Load}{π \cdot E \cdot (d 1 \cdot d 2)}}

Go Self Weight of Prismatic Bar with known Elongation

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

Go Load on Prismatic Bar with known Elongation due to Self Weight

W Load = \frac{δl}{\frac{L}{2 \cdot A \cdot E}}

Go Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar

L = \frac{δl}{\frac{W Load}{2 \cdot A \cdot E}}

How to Evaluate Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight?

Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight evaluator uses Young's Modulus = Specific Weight*Tapered Bar Length^2/(6*Elongation) to evaluate the Young's Modulus, The Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight is defined as the ratio of stress to strain or is the measure of the stiffness of a material. Young's Modulus is denoted by E symbol.

How to evaluate Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight using this online evaluator? To use this online evaluator for Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight, enter Specific Weight (γ), Tapered Bar Length (L_Taperedbar) & Elongation (δl) and hit the calculate button.

FAQs on Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight

What is the formula to find Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight?

The formula of Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight is expressed as Young's Modulus = Specific Weight*Tapered Bar Length^2/(6*Elongation). Here is an example- 3.5E-5 = 70000*185^2/(6*0.02).

How to calculate Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight?

With Specific Weight (γ), Tapered Bar Length (L_Taperedbar) & Elongation (δl) we can find Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight using the formula - Young's Modulus = Specific Weight*Tapered Bar Length^2/(6*Elongation).

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*Length*Length/(Elongation*2)
Young's Modulus=Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Elongation)

Can the Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight be negative?

Yes, the Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight, measured in Stress can be negative.

Which unit is used to measure Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight?

Modulus of Elasticity of Bar given Elongation of Conical Bar 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 Bar given Elongation of Conical Bar due to Self Weight can be measured.

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Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight Formula

​GoModulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight Formula

​GoModulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area Formula

Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight Example

Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight Solution

Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight Formula Elements

Other Formulas to find Young's Modulus

Other formulas in Elongation of Tapering Bar due to Self Weight category

How to Evaluate Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight?

FAQs on Modulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight

Variable Name

GoModulus of Elasticity of Prismatic Bar with known Elongation due to Self Weight Formula

GoModulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area Formula