FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section Formula

GoModulus of Elasticity using Elongation of Circular Tapering Rod Formula

Fx Copy

LaTeX Copy

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 = 4 \cdot W Applied load \cdot \frac{L}{π \cdot δl \cdot (d^{2})}

E - Young's Modulus?W_{Applied load} - Applied Load?L - Length?δl - Elongation?d - Diameter of Shaft?π - Archimedes' constant?

Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section Example

With values

With units

Only example

Here is how the Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section equation looks like with Values.

Here is how the Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section equation looks like with Units.

Here is how the Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section equation looks like.

1989.4368 = 4 \cdot 150 \cdot \frac{3}{3.1416 \cdot 0.02 \cdot ({0.12}^{2})}

1989.4368MPa = 4 \cdot 150kN \cdot \frac{3m}{3.1416 \cdot 0.02m \cdot ({0.12m}^{2})}

1989.4368 = 4 \cdot 150 \cdot \frac{3}{3.1416 \cdot 0.02 \cdot ({0.12}^{2})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Strength of Materials » fx Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section

Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section Solution

Follow our step by step solution on how to calculate Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section?

FIRST Step Consider the formula

E = 4 \cdot W Applied load \cdot \frac{L}{π \cdot δl \cdot (d^{2})}

Next Step Substitute values of Variables

∴

E = 4 \cdot 150kN \cdot \frac{3m}{π \cdot 0.02m \cdot ({0.12m}^{2})}

Next Step Substitute values of Constants

∴

E = 4 \cdot 150kN \cdot \frac{3m}{3.1416 \cdot 0.02m \cdot ({0.12m}^{2})}

Next Step Convert Units

∴

E = 4 \cdot 150000N \cdot \frac{3m}{3.1416 \cdot 0.02m \cdot ({0.12m}^{2})}

Next Step Prepare to Evaluate

∴

E = 4 \cdot 150000 \cdot \frac{3}{3.1416 \cdot 0.02 \cdot ({0.12}^{2})}

Next Step Evaluate

∴

E = 1989436788.64869Pa

Next Step Convert to Output's Unit

∴

E = 1989.43678864869MPa

LAST Step Rounding Answer

∴

E = 1989.4368MPa

Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section Formula Elements

Variables

Constants

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

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

Symbol: W_{Applied load}

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Applied Load

Length

Length is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find 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

Diameter of Shaft

The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Diameter of Shaft

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Young's Modulus

Go Modulus of Elasticity using Elongation of Circular Tapering Rod

E = 4 \cdot W Applied load \cdot \frac{L}{π \cdot δl \cdot d 1 \cdot d 2}

Other formulas in Circular Tapering Rod category

Go Elongation of Circular Tapering Rod

δl = 4 \cdot W Applied load \cdot \frac{L}{π \cdot E \cdot d 1 \cdot d 2}

Go Load at End with known Extension of Circular Tapering Rod

W Applied load = \frac{δl}{4 \cdot \frac{L}{π \cdot E \cdot d 1 \cdot d 2}}

Go Elongation of Prismatic Rod

δl = 4 \cdot W Applied load \cdot \frac{L}{π \cdot E \cdot (d^{2})}

Go Length of Circular Tapering rod

L = \frac{δl}{4 \cdot \frac{W Applied load}{π \cdot E \cdot d 1 \cdot d 2}}

How to Evaluate Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section?

Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section evaluator uses Young's Modulus = 4*Applied Load*Length/(pi*Elongation*(Diameter of Shaft^2)) to evaluate the Young's Modulus, The Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section is defined as ratio of stress to strain on the rod. Young's Modulus is denoted by E symbol.

How to evaluate Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section using this online evaluator? To use this online evaluator for Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section, enter Applied Load (W_{Applied load}), Length (L), Elongation (δl) & Diameter of Shaft (d) and hit the calculate button.

FAQs on Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section

What is the formula to find Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section?

The formula of Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section is expressed as Young's Modulus = 4*Applied Load*Length/(pi*Elongation*(Diameter of Shaft^2)). Here is an example- 0.001989 = 4*150000*3/(pi*0.02*(0.12^2)).

How to calculate Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section?

With Applied Load (W_{Applied load}), Length (L), Elongation (δl) & Diameter of Shaft (d) we can find Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section using the formula - Young's Modulus = 4*Applied Load*Length/(pi*Elongation*(Diameter of Shaft^2)). This formula also uses Archimedes' constant .

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

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

Young's Modulus=4*Applied Load*Length/(pi*Elongation*Diameter1*Diameter2)

Can the Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section be negative?

Yes, the Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section, measured in Stress can be negative.

Which unit is used to measure Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section?

Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section 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 Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section Formula

​GoModulus of Elasticity using Elongation of Circular Tapering Rod Formula

Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section Example

Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section Solution

Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section Formula Elements

Other Formulas to find Young's Modulus

Other formulas in Circular Tapering Rod category

How to Evaluate Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section?

FAQs on Modulus of Elasticity of Circular Tapering Rod with Uniform Cross Section Section

Variable Name

GoModulus of Elasticity using Elongation of Circular Tapering Rod Formula