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Length of Bar given Elongation of Conical Bar due to Self Weight Formula

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

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

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

Length of Bar given Elongation of Conical Bar due to Self Weight Example

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

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

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

185.164 = \sqrt{\frac{0.02}{\frac{70}{6 \cdot 20000}}}

185.164m = \sqrt{\frac{0.02m}{\frac{70kN/m³}{6 \cdot 20000MPa}}}

185.164 = \sqrt{\frac{0.02}{\frac{70}{6 \cdot 20000}}}

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Length of Bar given Elongation of Conical Bar due to Self Weight Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L Taperedbar = \sqrt{\frac{0.02m}{\frac{70kN/m³}{6 \cdot 20000MPa}}}

Next Step Convert Units

∴

L Taperedbar = \sqrt{\frac{0.02m}{\frac{70000N/m³}{6 \cdot 2E+10Pa}}}

Next Step Prepare to Evaluate

∴

L Taperedbar = \sqrt{\frac{0.02}{\frac{70000}{6 \cdot 2E+10}}}

Next Step Evaluate

∴

L Taperedbar = 185.16401995451m

LAST Step Rounding Answer

∴

L Taperedbar = 185.164m

Length of Bar given Elongation of Conical Bar due to Self Weight Formula Elements

Variables

Functions

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

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

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 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 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}}

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

Length of Bar given Elongation of Conical Bar due to Self Weight evaluator uses Tapered Bar Length = sqrt(Elongation/(Specific Weight/(6*Young's Modulus))) to evaluate the Tapered Bar Length, The Length of Bar given Elongation of Conical Bar due to Self Weight is defined as overall length influencing the elongation of Tapering bars. Tapered Bar Length is denoted by L_Taperedbar symbol.

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

FAQs on Length of Bar given Elongation of Conical Bar due to Self Weight

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

The formula of Length of Bar given Elongation of Conical Bar due to Self Weight is expressed as Tapered Bar Length = sqrt(Elongation/(Specific Weight/(6*Young's Modulus))). Here is an example- 185.164 = sqrt(0.02/(70000/(6*20000000000))).

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

With Elongation (δl), Specific Weight (γ) & Young's Modulus (E) we can find Length of Bar given Elongation of Conical Bar due to Self Weight using the formula - Tapered Bar Length = sqrt(Elongation/(Specific Weight/(6*Young's Modulus))). This formula also uses Square Root (sqrt) function(s).

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

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

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

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

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Length of Bar given Elongation of Conical Bar due to Self Weight Formula

Length of Bar given Elongation of Conical Bar due to Self Weight Example

Length of Bar given Elongation of Conical Bar due to Self Weight Solution

Length of Bar given Elongation of Conical Bar due to Self Weight Formula Elements

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

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

FAQs on Length of Bar given Elongation of Conical Bar due to Self Weight

Variable Name