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Length of Rod of Truncated Conical Section Formula

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

l = \sqrt{\frac{δl}{\frac{(γ Rod) \cdot (d 1 + d 2)}{6 \cdot E \cdot (d 1 - d 2)}}}

l - Length of Tapered Bar?δl - Elongation?γ_Rod - Specific Weight of Rod?d₁ - Diameter1?d₂ - Diameter2?E - Young's Modulus?

Length of Rod of Truncated Conical Section Example

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Here is how the Length of Rod of Truncated Conical Section equation looks like with Values.

Here is how the Length of Rod of Truncated Conical Section equation looks like with Units.

Here is how the Length of Rod of Truncated Conical Section equation looks like.

7.8 = \sqrt{\frac{0.02}{\frac{(4930.96) \cdot (0.045 + 0.035)}{6 \cdot 20000 \cdot (0.045 - 0.035)}}}

7.8m = \sqrt{\frac{0.02m}{\frac{(4930.96kN/m³) \cdot (0.045m + 0.035m)}{6 \cdot 20000MPa \cdot (0.045m - 0.035m)}}}

7.8 = \sqrt{\frac{0.02}{\frac{(4930.96) \cdot (0.045 + 0.035)}{6 \cdot 20000 \cdot (0.045 - 0.035)}}}

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Length of Rod of Truncated Conical Section Solution

Follow our step by step solution on how to calculate Length of Rod of Truncated Conical Section?

FIRST Step Consider the formula

l = \sqrt{\frac{δl}{\frac{(γ Rod) \cdot (d 1 + d 2)}{6 \cdot E \cdot (d 1 - d 2)}}}

Next Step Substitute values of Variables

∴

l = \sqrt{\frac{0.02m}{\frac{(4930.96kN/m³) \cdot (0.045m + 0.035m)}{6 \cdot 20000MPa \cdot (0.045m - 0.035m)}}}

Next Step Convert Units

∴

l = \sqrt{\frac{0.02m}{\frac{(4.9E+6N/m³) \cdot (0.045m + 0.035m)}{6 \cdot 2E+10Pa \cdot (0.045m - 0.035m)}}}

Next Step Prepare to Evaluate

∴

l = \sqrt{\frac{0.02}{\frac{(4.9E+6) \cdot (0.045 + 0.035)}{6 \cdot 2E+10 \cdot (0.045 - 0.035)}}}

Next Step Evaluate

∴

l = 7.80000511680503m

LAST Step Rounding Answer

∴

l = 7.8m

Length of Rod of Truncated Conical Section Formula Elements

Variables

Functions

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

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

Diameter1

Diameter1 is the diameter on one side of the rod.

Symbol: d₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Diameter1

Diameter2

Diameter2 is the length of the diameter on 2nd side.

Symbol: d₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter2

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 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 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)}

Go Modulus of Elasticity of Bar with known elongation 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 Rod of Truncated Conical Section?

Length of Rod of Truncated Conical Section evaluator uses Length of Tapered Bar = sqrt(Elongation/(((Specific Weight of Rod)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2)))) to evaluate the Length of Tapered Bar, Length of Rod of Truncated Conical Section is defined as the length of the bar under which pull is applied. Here, the pull is due to self-weight of the structute. Note Diameter1 > diamter2. Length of Tapered Bar is denoted by l symbol.

How to evaluate Length of Rod of Truncated Conical Section using this online evaluator? To use this online evaluator for Length of Rod of Truncated Conical Section, enter Elongation (δl), Specific Weight of Rod (γ_Rod), Diameter1 (d₁), Diameter2 (d₂) & Young's Modulus (E) and hit the calculate button.

FAQs on Length of Rod of Truncated Conical Section

What is the formula to find Length of Rod of Truncated Conical Section?

The formula of Length of Rod of Truncated Conical Section is expressed as Length of Tapered Bar = sqrt(Elongation/(((Specific Weight of Rod)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2)))). Here is an example- 65.46537 = sqrt(0.02/(((4930960)*(0.045+0.035))/(6*20000000000*(0.045-0.035)))).

How to calculate Length of Rod of Truncated Conical Section?

With Elongation (δl), Specific Weight of Rod (γ_Rod), Diameter1 (d₁), Diameter2 (d₂) & Young's Modulus (E) we can find Length of Rod of Truncated Conical Section using the formula - Length of Tapered Bar = sqrt(Elongation/(((Specific Weight of Rod)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2)))). This formula also uses Square Root (sqrt) function(s).

Can the Length of Rod of Truncated Conical Section be negative?

Yes, the Length of Rod of Truncated Conical Section, measured in Length can be negative.

Which unit is used to measure Length of Rod of Truncated Conical Section?

Length of Rod of Truncated Conical Section is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Rod of Truncated Conical Section can be measured.

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Length of Rod of Truncated Conical Section Formula

Length of Rod of Truncated Conical Section Example

Length of Rod of Truncated Conical Section Solution

Length of Rod of Truncated Conical Section Formula Elements

Other formulas in Elongation due to Self weight category

How to Evaluate Length of Rod of Truncated Conical Section?

FAQs on Length of Rod of Truncated Conical Section

Variable Name