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Specific weight of Truncated Conical Rod using its elongation due to Self Weight Formula

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Specific Weight of Rod is defined as weight per unit volume of the rod. Check FAQs

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

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

Specific weight of Truncated Conical Rod using its elongation due to Self Weight Example

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Here is how the Specific weight of Truncated Conical Rod using its elongation due to Self Weight equation looks like with Values.

Here is how the Specific weight of Truncated Conical Rod using its elongation due to Self Weight equation looks like with Units.

Here is how the Specific weight of Truncated Conical Rod using its elongation due to Self Weight equation looks like.

4930.9665 = \frac{0.02}{\frac{({7.8}^{2}) \cdot (0.045 + 0.035)}{6 \cdot 20000 \cdot (0.045 - 0.035)}}

4930.9665kN/m³ = \frac{0.02m}{\frac{({7.8m}^{2}) \cdot (0.045m + 0.035m)}{6 \cdot 20000MPa \cdot (0.045m - 0.035m)}}

4930.9665 = \frac{0.02}{\frac{({7.8}^{2}) \cdot (0.045 + 0.035)}{6 \cdot 20000 \cdot (0.045 - 0.035)}}

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Strength of Materials » fx Specific weight of Truncated Conical Rod using its elongation due to Self Weight

Specific weight of Truncated Conical Rod using its elongation due to Self Weight Solution

Follow our step by step solution on how to calculate Specific weight of Truncated Conical Rod using its elongation due to Self Weight?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

γ Rod = \frac{0.02m}{\frac{({7.8m}^{2}) \cdot (0.045m + 0.035m)}{6 \cdot 20000MPa \cdot (0.045m - 0.035m)}}

Next Step Convert Units

∴

γ Rod = \frac{0.02m}{\frac{({7.8m}^{2}) \cdot (0.045m + 0.035m)}{6 \cdot 2E+10Pa \cdot (0.045m - 0.035m)}}

Next Step Prepare to Evaluate

∴

γ Rod = \frac{0.02}{\frac{({7.8}^{2}) \cdot (0.045 + 0.035)}{6 \cdot 2E+10 \cdot (0.045 - 0.035)}}

Next Step Evaluate

∴

γ Rod = 4930966.46942801N/m³

Next Step Convert to Output's Unit

∴

γ Rod = 4930.96646942801kN/m³

LAST Step Rounding Answer

∴

γ Rod = 4930.9665kN/m³

Specific weight of Truncated Conical Rod using its elongation due to Self Weight Formula Elements

Variables

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

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

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

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

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 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)}

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 Specific weight of Truncated Conical Rod using its elongation due to Self Weight?

Specific weight of Truncated Conical Rod using its elongation due to Self Weight evaluator uses Specific Weight of Rod = Elongation/(((Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))) to evaluate the Specific Weight of Rod, The Specific weight of Truncated Conical Rod using its elongation due to Self Weight is defined as mass per unit volume of bar. Specific Weight of Rod is denoted by γ_Rod symbol.

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

FAQs on Specific weight of Truncated Conical Rod using its elongation due to Self Weight

What is the formula to find Specific weight of Truncated Conical Rod using its elongation due to Self Weight?

The formula of Specific weight of Truncated Conical Rod using its elongation due to Self Weight is expressed as Specific Weight of Rod = Elongation/(((Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))). Here is an example- 4.930966 = 0.02/(((7.8^2)*(0.045+0.035))/(6*20000000000*(0.045-0.035))).

How to calculate Specific weight of Truncated Conical Rod using its elongation due to Self Weight?

With Elongation (δl), Length of Tapered Bar (l), Diameter1 (d₁), Diameter2 (d₂) & Young's Modulus (E) we can find Specific weight of Truncated Conical Rod using its elongation due to Self Weight using the formula - Specific Weight of Rod = Elongation/(((Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))).

Can the Specific weight of Truncated Conical Rod using its elongation due to Self Weight be negative?

Yes, the Specific weight of Truncated Conical Rod using its elongation due to Self Weight, measured in Specific Weight can be negative.

Which unit is used to measure Specific weight of Truncated Conical Rod using its elongation due to Self Weight?

Specific weight of Truncated Conical Rod using its elongation due to Self Weight is usually measured using the Kilonewton per Cubic Meter[kN/m³] for Specific Weight. Newton per Cubic Meter[kN/m³], Newton per Cubic Centimeter[kN/m³], Newton per Cubic Millimeter[kN/m³] are the few other units in which Specific weight of Truncated Conical Rod using its elongation due to Self Weight can be measured.

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Specific weight of Truncated Conical Rod using its elongation due to Self Weight Formula

Specific weight of Truncated Conical Rod using its elongation due to Self Weight Example

Specific weight of Truncated Conical Rod using its elongation due to Self Weight Solution

Specific weight of Truncated Conical Rod using its elongation due to Self Weight Formula Elements

Other formulas in Elongation due to Self weight category

How to Evaluate Specific weight of Truncated Conical Rod using its elongation due to Self Weight?

FAQs on Specific weight of Truncated Conical Rod using its elongation due to Self Weight

Variable Name