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Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight Formula

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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. Check FAQs

A = W Load \cdot \frac{L}{6 \cdot δl \cdot E}

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

Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight Example

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Here is how the Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight equation looks like with Values.

Here is how the Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight equation looks like with Units.

Here is how the Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight equation looks like.

2187.5 = 1750 \cdot \frac{3}{6 \cdot 0.02 \cdot 20000}

2187.5mm² = 1750kN \cdot \frac{3m}{6 \cdot 0.02m \cdot 20000MPa}

2187.5 = 1750 \cdot \frac{3}{6 \cdot 0.02 \cdot 20000}

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Strength of Materials » fx Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight

Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight Solution

Follow our step by step solution on how to calculate Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight?

FIRST Step Consider the formula

A = W Load \cdot \frac{L}{6 \cdot δl \cdot E}

Next Step Substitute values of Variables

∴

A = 1750kN \cdot \frac{3m}{6 \cdot 0.02m \cdot 20000MPa}

Next Step Convert Units

∴

A = 1.8E+6N \cdot \frac{3m}{6 \cdot 0.02m \cdot 2E+10Pa}

Next Step Prepare to Evaluate

∴

A = 1.8E+6 \cdot \frac{3}{6 \cdot 0.02 \cdot 2E+10}

Next Step Evaluate

∴

A = 0.0021875m²

LAST Step Convert to Output's Unit

∴

A = 2187.5mm²

Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight Formula Elements

Variables

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

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

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

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 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 Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight?

Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight evaluator uses Area of Cross-Section = Applied Load SOM*Length/(6*Elongation*Young's Modulus) to evaluate the Area of Cross-Section, The Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight formula is defined as the area of the rod using Elongation and remaining variables. Area of Cross-Section is denoted by A symbol.

How to evaluate Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight using this online evaluator? To use this online evaluator for Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight, enter Applied Load SOM (W_Load), Length (L), Elongation (δl) & Young's Modulus (E) and hit the calculate button.

FAQs on Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight

What is the formula to find Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight?

The formula of Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight is expressed as Area of Cross-Section = Applied Load SOM*Length/(6*Elongation*Young's Modulus). Here is an example- 0.002188 = 1750000*3/(6*0.02*20000000000).

How to calculate Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight?

With Applied Load SOM (W_Load), Length (L), Elongation (δl) & Young's Modulus (E) we can find Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight using the formula - Area of Cross-Section = Applied Load SOM*Length/(6*Elongation*Young's Modulus).

Can the Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight be negative?

No, the Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight, measured in Area cannot be negative.

Which unit is used to measure Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight?

Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight can be measured.

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Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight Formula

Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight Example

Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight Solution

Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight Formula Elements

Other formulas in Elongation due to Self weight category

How to Evaluate Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight?

FAQs on Cross Sectional Area with known Elongation of Tapering Bar due to Self Weight

Variable Name