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

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

GoModulus of Elasticity of Bar given Elongation of Conical Bar 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 = W Load \cdot \frac{l}{6 \cdot A \cdot δl}

E - Young's Modulus?W_Load - Applied Load SOM?l - Length of Tapered Bar?A - Area of Cross-Section?δl - Elongation?

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

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Here is how the Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area equation looks like with Values.

Here is how the Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area equation looks like with Units.

Here is how the Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area equation looks like.

20312.5 = 1750 \cdot \frac{7.8}{6 \cdot 5600 \cdot 0.02}

20312.5MPa = 1750kN \cdot \frac{7.8m}{6 \cdot 5600mm² \cdot 0.02m}

20312.5 = 1750 \cdot \frac{7.8}{6 \cdot 5600 \cdot 0.02}

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Strength of Materials » fx Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area

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

Follow our step by step solution on how to calculate Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = 1750kN \cdot \frac{7.8m}{6 \cdot 5600mm² \cdot 0.02m}

Next Step Convert Units

∴

E = 1.8E+6N \cdot \frac{7.8m}{6 \cdot 0.0056m² \cdot 0.02m}

Next Step Prepare to Evaluate

∴

E = 1.8E+6 \cdot \frac{7.8}{6 \cdot 0.0056 \cdot 0.02}

Next Step Evaluate

∴

E = 20312500000Pa

LAST Step Convert to Output's Unit

∴

E = 20312.5MPa

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

Applied Load SOM

The Applied Load SOM is a force imposed on an object by a person or another object.

Symbol: W_Load

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Applied Load SOM

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

Area of Cross-Section

Area of Cross-section is a cross-sectional area which we obtain when the same object is cut into two pieces. The area of that particular cross-section is known as the cross-sectional area.

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Cross-Section

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 Bar given Elongation of Conical Bar due to Self Weight

E = γ \cdot \frac{{L Taperedbar}^{2}}{6 \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 Conical Bar with known Elongation and Cross-sectional area?

Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area evaluator uses Young's Modulus = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Elongation) to evaluate the Young's Modulus, The Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area is defined as ratio of stress to strain. Young's Modulus is denoted by E symbol.

How to evaluate Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area using this online evaluator? To use this online evaluator for Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area, enter Applied Load SOM (W_Load), Length of Tapered Bar (l), Area of Cross-Section (A) & Elongation (δl) and hit the calculate button.

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

What is the formula to find Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area?

The formula of Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area is expressed as Young's Modulus = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*Elongation). Here is an example- 0.020312 = 1750000*7.8/(6*0.0056*0.02).

How to calculate Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area?

With Applied Load SOM (W_Load), Length of Tapered Bar (l), Area of Cross-Section (A) & Elongation (δl) we can find Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area using the formula - Young's Modulus = Applied Load SOM*Length of Tapered Bar/(6*Area of Cross-Section*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=Specific Weight*Tapered Bar Length^2/(6*Elongation)

Can the Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area be negative?

Yes, the Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area, measured in Stress can be negative.

Which unit is used to measure Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area?

Modulus of Elasticity of Conical Bar with known Elongation and Cross-sectional area 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 Conical Bar with known Elongation and Cross-sectional area can be measured.

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

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

​GoModulus of Elasticity of Bar given Elongation of Conical Bar due to Self Weight Formula

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

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

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

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

Variable Name

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

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