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Area at Section 1 of Bars of Uniform Strength Formula

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Area 1 is the cross-sectional area at one end of a bar/shaft. Check FAQs

A 1 = A 2 \cdot e^{γ \cdot \frac{L Rod}{σ Uniform}}

A₁ - Area 1?A₂ - Area 2?γ - Specific Weight?L_Rod - Length of Rod?σ_Uniform - Uniform Stress?

Area at Section 1 of Bars of Uniform Strength Example

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Here is how the Area at Section 1 of Bars of Uniform Strength equation looks like with Values.

Here is how the Area at Section 1 of Bars of Uniform Strength equation looks like with Units.

Here is how the Area at Section 1 of Bars of Uniform Strength equation looks like.

0.0013 = 0.0012 \cdot e^{70 \cdot \frac{1.83}{27}}

0.0013m² = 0.0012m² \cdot e^{70kN/m³ \cdot \frac{1.83m}{27MPa}}

0.0013 = 0.0012 \cdot e^{70 \cdot \frac{1.83}{27}}

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Strength of Materials » fx Area at Section 1 of Bars of Uniform Strength

Area at Section 1 of Bars of Uniform Strength Solution

Follow our step by step solution on how to calculate Area at Section 1 of Bars of Uniform Strength?

FIRST Step Consider the formula

A 1 = A 2 \cdot e^{γ \cdot \frac{L Rod}{σ Uniform}}

Next Step Substitute values of Variables

∴

A 1 = 0.0012m² \cdot e^{70kN/m³ \cdot \frac{1.83m}{27MPa}}

Next Step Convert Units

∴

A 1 = 0.0012m² \cdot e^{70000N/m³ \cdot \frac{1.83m}{2.7E+7Pa}}

Next Step Prepare to Evaluate

∴

A 1 = 0.0012 \cdot e^{70000 \cdot \frac{1.83}{2.7E+7}}

Next Step Evaluate

∴

A 1 = 0.00125594464642687m²

LAST Step Rounding Answer

∴

A 1 = 0.0013m²

Area at Section 1 of Bars of Uniform Strength Formula Elements

Variables

Area 1

Area 1 is the cross-sectional area at one end of a bar/shaft.

Symbol: A₁

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 1

Area 2

Area 2 is the cross-sectional area at the second end of the bar/section.

Symbol: A₂

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 2

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

Length of Rod

Length of Rod is defined as the total length of the conducting rod.

Symbol: L_Rod

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Rod

Uniform Stress

Uniform Stress is one in which stress developed at every cross-section of the bar remains the same along the longitudinal axis.

Symbol: σ_Uniform

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Uniform Stress

Other formulas in Bar of Uniform Strength category

Go Area at Section 2 of Bars of Uniform Strength

A 2 = \frac{A 1}{e^{γ \cdot \frac{L Rod}{σ Uniform}}}

Go Weight Density of Bar using Area at Section 1 of Bars of uniform Strength

γ = (2.303 \cdot \log 10 (\frac{A 1}{A 2})) \cdot \frac{σ Uniform}{L Rod}

How to Evaluate Area at Section 1 of Bars of Uniform Strength?

Area at Section 1 of Bars of Uniform Strength evaluator uses Area 1 = Area 2*e^(Specific Weight*Length of Rod/Uniform Stress) to evaluate the Area 1, The Area at Section 1 of Bars of Uniform Strength formula is defined as exponential function of the product of specific weight with the ratio of length of rod and stress. The area of the upper end of the rod is further divided by this exponential function. Area 1 is denoted by A₁ symbol.

How to evaluate Area at Section 1 of Bars of Uniform Strength using this online evaluator? To use this online evaluator for Area at Section 1 of Bars of Uniform Strength, enter Area 2 (A₂), Specific Weight (γ), Length of Rod (L_Rod) & Uniform Stress (σ_Uniform) and hit the calculate button.

FAQs on Area at Section 1 of Bars of Uniform Strength

What is the formula to find Area at Section 1 of Bars of Uniform Strength?

The formula of Area at Section 1 of Bars of Uniform Strength is expressed as Area 1 = Area 2*e^(Specific Weight*Length of Rod/Uniform Stress). Here is an example- 0.001256 = 0.00125*e^(70000*1.83/27000000).

How to calculate Area at Section 1 of Bars of Uniform Strength?

With Area 2 (A₂), Specific Weight (γ), Length of Rod (L_Rod) & Uniform Stress (σ_Uniform) we can find Area at Section 1 of Bars of Uniform Strength using the formula - Area 1 = Area 2*e^(Specific Weight*Length of Rod/Uniform Stress).

Can the Area at Section 1 of Bars of Uniform Strength be negative?

No, the Area at Section 1 of Bars of Uniform Strength, measured in Area cannot be negative.

Which unit is used to measure Area at Section 1 of Bars of Uniform Strength?

Area at Section 1 of Bars of Uniform Strength is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area at Section 1 of Bars of Uniform Strength can be measured.

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Area at Section 1 of Bars of Uniform Strength Formula

Area at Section 1 of Bars of Uniform Strength Example

Area at Section 1 of Bars of Uniform Strength Solution

Area at Section 1 of Bars of Uniform Strength Formula Elements

Other formulas in Bar of Uniform Strength category

How to Evaluate Area at Section 1 of Bars of Uniform Strength?

FAQs on Area at Section 1 of Bars of Uniform Strength

Variable Name