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Length of Bar using Elongation due to Self Weight in Prismatic bar Formula

GoLength of Bar using its Uniform Strength Formula

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

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

L - Length?δl - Elongation?γ_Rod - Specific Weight of Rod?E - Young's Modulus?

Length of Bar using Elongation due to Self Weight in Prismatic bar Example

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

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

Here is how the Length of Bar using Elongation due to Self Weight in Prismatic bar equation looks like.

12.7374 = \sqrt{\frac{0.02}{\frac{4930.96}{20000 \cdot 2}}}

12.7374m = \sqrt{\frac{0.02m}{\frac{4930.96kN/m³}{20000MPa \cdot 2}}}

12.7374 = \sqrt{\frac{0.02}{\frac{4930.96}{20000 \cdot 2}}}

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Length of Bar using Elongation due to Self Weight in Prismatic bar Solution

Follow our step by step solution on how to calculate Length of Bar using Elongation due to Self Weight in Prismatic bar?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = \sqrt{\frac{0.02m}{\frac{4930.96kN/m³}{20000MPa \cdot 2}}}

Next Step Convert Units

∴

L = \sqrt{\frac{0.02m}{\frac{4.9E+6N/m³}{2E+10Pa \cdot 2}}}

Next Step Prepare to Evaluate

∴

L = \sqrt{\frac{0.02}{\frac{4.9E+6}{2E+10 \cdot 2}}}

Next Step Evaluate

∴

L = 12.7373550181802m

LAST Step Rounding Answer

∴

L = 12.7374m

Length of Bar using Elongation due to Self Weight in Prismatic bar Formula Elements

Variables

Functions

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Length

Go Length of Bar using its Uniform Strength

L = (2.303 \cdot \log 10 (\frac{A 1}{A 2})) \cdot (\frac{σ Uniform}{γ Rod})

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 Modulus of Elasticity of Rod using Extension 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)}

How to Evaluate Length of Bar using Elongation due to Self Weight in Prismatic bar?

Length of Bar using Elongation due to Self Weight in Prismatic bar evaluator uses Length = sqrt(Elongation/(Specific Weight of Rod/(Young's Modulus*2))) to evaluate the Length, Length of Bar using Elongation due to Self Weight in Prismatic bar is defined as the overall length of the bar after being subjected to elongation due to the self-weight of the bar acting on it. Length is denoted by L symbol.

How to evaluate Length of Bar using Elongation due to Self Weight in Prismatic bar using this online evaluator? To use this online evaluator for Length of Bar using Elongation due to Self Weight in Prismatic bar, enter Elongation (δl), Specific Weight of Rod (γ_Rod) & Young's Modulus (E) and hit the calculate button.

FAQs on Length of Bar using Elongation due to Self Weight in Prismatic bar

What is the formula to find Length of Bar using Elongation due to Self Weight in Prismatic bar?

The formula of Length of Bar using Elongation due to Self Weight in Prismatic bar is expressed as Length = sqrt(Elongation/(Specific Weight of Rod/(Young's Modulus*2))). Here is an example- 106.9045 = sqrt(0.02/(4930960/(20000000000*2))).

How to calculate Length of Bar using Elongation due to Self Weight in Prismatic bar?

With Elongation (δl), Specific Weight of Rod (γ_Rod) & Young's Modulus (E) we can find Length of Bar using Elongation due to Self Weight in Prismatic bar using the formula - Length = sqrt(Elongation/(Specific Weight of Rod/(Young's Modulus*2))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Length?

Here are the different ways to Calculate Length-

Length=(2.303*log10(Area 1/Area 2))*(Uniform Stress/Specific Weight of Rod)

Can the Length of Bar using Elongation due to Self Weight in Prismatic bar be negative?

No, the Length of Bar using Elongation due to Self Weight in Prismatic bar, measured in Length cannot be negative.

Which unit is used to measure Length of Bar using Elongation due to Self Weight in Prismatic bar?

Length of Bar using Elongation due to Self Weight in Prismatic 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 Bar using Elongation due to Self Weight in Prismatic bar can be measured.

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Length of Bar using Elongation due to Self Weight in Prismatic bar Formula

​GoLength of Bar using its Uniform Strength Formula

Length of Bar using Elongation due to Self Weight in Prismatic bar Example

Length of Bar using Elongation due to Self Weight in Prismatic bar Solution

Length of Bar using Elongation due to Self Weight in Prismatic bar Formula Elements

Other Formulas to find Length

Other formulas in Elongation due to Self weight category

How to Evaluate Length of Bar using Elongation due to Self Weight in Prismatic bar?

FAQs on Length of Bar using Elongation due to Self Weight in Prismatic bar

Variable Name

GoLength of Bar using its Uniform Strength Formula