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

GoLength of Circular Tapering Rod when deflection due to load Formula

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

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

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

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

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Here is how the Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar equation looks like with Values.

Here is how the Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar equation looks like with Units.

Here is how the Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar equation looks like.

2.56 = \frac{0.02}{\frac{1750}{2 \cdot 5600 \cdot 20000}}

2.56m = \frac{0.02m}{\frac{1750kN}{2 \cdot 5600mm² \cdot 20000MPa}}

2.56 = \frac{0.02}{\frac{1750}{2 \cdot 5600 \cdot 20000}}

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Strength of Materials » fx Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar

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

Follow our step by step solution on how to calculate Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = \frac{0.02m}{\frac{1750kN}{2 \cdot 5600mm² \cdot 20000MPa}}

Next Step Convert Units

∴

L = \frac{0.02m}{\frac{1.8E+6N}{2 \cdot 0.0056m² \cdot 2E+10Pa}}

Next Step Prepare to Evaluate

∴

L = \frac{0.02}{\frac{1.8E+6}{2 \cdot 0.0056 \cdot 2E+10}}

LAST Step Evaluate

∴

L = 2.56m

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

Variables

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

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

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

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

Other Formulas to find Length

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)}}

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

Go Self Weight of Prismatic Bar with known Elongation

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

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 Load on Prismatic Bar with known Elongation due to Self Weight

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

Go Self Weight of Conical section with known Elongation

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

How to Evaluate Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar?

Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar evaluator uses Length = Elongation/(Applied Load SOM/(2*Area of Cross-Section*Young's Modulus)) to evaluate the Length, The Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar is defined as overall length of loading influencing the elongation in uniform bars due to weight per unit volume. Length is denoted by L symbol.

How to evaluate Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar using this online evaluator? To use this online evaluator for Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar, enter Elongation (δl), Applied Load SOM (W_Load), Area of Cross-Section (A) & Young's Modulus (E) and hit the calculate button.

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

What is the formula to find Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar?

The formula of Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar is expressed as Length = Elongation/(Applied Load SOM/(2*Area of Cross-Section*Young's Modulus)). Here is an example- 2.56 = 0.02/(1750000/(2*0.0056*20000000000)).

How to calculate Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar?

With Elongation (δl), Applied Load SOM (W_Load), Area of Cross-Section (A) & Young's Modulus (E) we can find Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar using the formula - Length = Elongation/(Applied Load SOM/(2*Area of Cross-Section*Young's Modulus)).

What are the other ways to Calculate Length?

Here are the different ways to Calculate Length-

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

Can the Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar be negative?

No, the Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar, measured in Length cannot be negative.

Which unit is used to measure Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar?

Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar can be measured.

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

​GoLength of Circular Tapering Rod when deflection due to load Formula

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

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

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

Other Formulas to find Length

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

How to Evaluate Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar?

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

Variable Name

GoLength of Circular Tapering Rod when deflection due to load Formula