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Area of upper end of bar Formula

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The Area of Upper End is the area of the upper end of the rod. Check FAQs

A 1 = A 2 \cdot e^{w \cdot \frac{L bar}{σ}}

A₁ - Area of Upper End?A₂ - Area of The Lower End?w - Weight per unit volume?L_bar - Length of Bar?σ - Stress in Bar?

Area of upper end of bar Example

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With units

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Here is how the Area of upper end of bar equation looks like with Values.

Here is how the Area of upper end of bar equation looks like with Units.

Here is how the Area of upper end of bar equation looks like.

3000.6417 = 3000 \cdot e^{10 \cdot \frac{256.66}{0.012}}

3000.6417mm² = 3000mm² \cdot e^{10N/m³ \cdot \frac{256.66mm}{0.012MPa}}

3000.6417 = 3000 \cdot e^{10 \cdot \frac{256.66}{0.012}}

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Area of upper end of bar Solution

Follow our step by step solution on how to calculate Area of upper end of bar?

FIRST Step Consider the formula

A 1 = A 2 \cdot e^{w \cdot \frac{L bar}{σ}}

Next Step Substitute values of Variables

∴

A 1 = 3000mm² \cdot e^{10N/m³ \cdot \frac{256.66mm}{0.012MPa}}

Next Step Convert Units

∴

A 1 = 0.003m² \cdot e^{10N/m³ \cdot \frac{0.2567m}{12000Pa}}

Next Step Prepare to Evaluate

∴

A 1 = 0.003 \cdot e^{10 \cdot \frac{0.2567}{12000}}

Next Step Evaluate

∴

A 1 = 0.00300064171862401m²

Next Step Convert to Output's Unit

∴

A 1 = 3000.64171862401mm²

LAST Step Rounding Answer

∴

A 1 = 3000.6417mm²

Area of upper end of bar Formula Elements

Variables

Area of Upper End

The Area of Upper End is the area of the upper end of the rod.

Symbol: A₁

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Upper End

Area of The Lower End

The Area of the lower end of the rod s defined as an exponential function of the product of specific weight with the ratio of the length of rod and stress.

Symbol: A₂

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of The Lower End

Weight per unit volume

Weight per unit volume is the ratio of weight of a body to its volume.

Symbol: w

Measurement: Specific WeightUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Weight per unit volume

Length of Bar

Length of Bar is defined as the total length of the Bar.

Symbol: L_bar

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Bar

Stress in Bar

Stress in Bar applied to a bar is the force per unit area applied to the barl. The maximum stress a material can stand before it breaks is called the breaking stress or ultimate tensile stress.

Symbol: σ

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Stress in Bar

Other formulas in Strain in Bar category

Go Longitudinal Strain using Poisson's Ratio

ε ln = - (\frac{ε L}{𝛎})

Go Elongation of bar given applied tensile load, area and length

∆ = P \cdot \frac{L 0}{A cs \cdot E}

Go Area of lower end of bar

A 2 = \frac{A 1}{e^{w \cdot \frac{L bar}{σ}}}

Go Change in length of Tapered Bar

ΔL = (F a \cdot \frac{l}{t \cdot E \cdot (L Right - L Left)}) \cdot \frac{\ln (\frac{L Right}{L Left})}{1000000}

How to Evaluate Area of upper end of bar?

Area of upper end of bar evaluator uses Area of Upper End = Area of The Lower End*e^(Weight per unit volume*Length of Bar/Stress in Bar) to evaluate the Area of Upper End, Area of upper end of bar formula is defined as a representation of the relationship between the area at the upper end of a bar and its physical properties, such as width, length, and stress. It helps in understanding how these factors influence structural integrity. Area of Upper End is denoted by A₁ symbol.

How to evaluate Area of upper end of bar using this online evaluator? To use this online evaluator for Area of upper end of bar, enter Area of The Lower End (A₂), Weight per unit volume (w), Length of Bar (L_bar) & Stress in Bar (σ) and hit the calculate button.

FAQs on Area of upper end of bar

What is the formula to find Area of upper end of bar?

The formula of Area of upper end of bar is expressed as Area of Upper End = Area of The Lower End*e^(Weight per unit volume*Length of Bar/Stress in Bar). Here is an example- 3E+9 = 0.003*e^(10*0.25666/12000).

How to calculate Area of upper end of bar?

With Area of The Lower End (A₂), Weight per unit volume (w), Length of Bar (L_bar) & Stress in Bar (σ) we can find Area of upper end of bar using the formula - Area of Upper End = Area of The Lower End*e^(Weight per unit volume*Length of Bar/Stress in Bar).

Can the Area of upper end of bar be negative?

No, the Area of upper end of bar, measured in Area cannot be negative.

Which unit is used to measure Area of upper end of bar?

Area of upper end of bar 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 Area of upper end of bar can be measured.

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Area of upper end of bar Formula

Area of upper end of bar Example

Area of upper end of bar Solution

Area of upper end of bar Formula Elements

Other formulas in Strain in Bar category

How to Evaluate Area of upper end of bar?

FAQs on Area of upper end of bar

Variable Name