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

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Specific Weight is defined as weight per unit volume. Check FAQs

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

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

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

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Here is how the Weight Density of Bar using Area at Section 1 of Bars of uniform Strength equation looks like with Values.

Here is how the Weight Density of Bar using Area at Section 1 of Bars of uniform Strength equation looks like with Units.

Here is how the Weight Density of Bar using Area at Section 1 of Bars of uniform Strength equation looks like.

70.663 = (2.303 \cdot \log 10 (\frac{0.0013}{0.0012})) \cdot \frac{27}{1.83}

70.663kN/m³ = (2.303 \cdot \log 10 (\frac{0.0013m²}{0.0012m²})) \cdot \frac{27MPa}{1.83m}

70.663 = (2.303 \cdot \log 10 (\frac{0.0013}{0.0012})) \cdot \frac{27}{1.83}

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

Follow our step by step solution on how to calculate Weight Density of Bar using Area at Section 1 of Bars of uniform Strength?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

γ = (2.303 \cdot \log 10 (\frac{0.0013m²}{0.0012m²})) \cdot \frac{27MPa}{1.83m}

Next Step Convert Units

∴

γ = (2.303 \cdot \log 10 (\frac{0.0013m²}{0.0012m²})) \cdot \frac{2.7E+7Pa}{1.83m}

Next Step Prepare to Evaluate

∴

γ = (2.303 \cdot \log 10 (\frac{0.0013}{0.0012})) \cdot \frac{2.7E+7}{1.83}

Next Step Evaluate

∴

γ = 70662.977459371N/m³

Next Step Convert to Output's Unit

∴

γ = 70.662977459371kN/m³

LAST Step Rounding Answer

∴

γ = 70.663kN/m³

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

Variables

Functions

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

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

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

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

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(Number)

Other formulas in Bar of Uniform Strength category

Go Area at Section 1 of Bars of Uniform Strength

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

Go Area at Section 2 of Bars of Uniform Strength

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

How to Evaluate Weight Density of Bar using Area at Section 1 of Bars of uniform Strength?

Weight Density of Bar using Area at Section 1 of Bars of uniform Strength evaluator uses Specific Weight = (2.303*log10(Area 1/Area 2))*Uniform Stress/Length of Rod to evaluate the Specific Weight, The Weight Density of Bar using Area at Section 1 of Bars of uniform Strength is defined as self weight of bar. Specific Weight is denoted by γ symbol.

How to evaluate Weight Density of Bar using Area at Section 1 of Bars of uniform Strength using this online evaluator? To use this online evaluator for Weight Density of Bar using Area at Section 1 of Bars of uniform Strength, enter Area 1 (A₁), Area 2 (A₂), Uniform Stress (σ_Uniform) & Length of Rod (L_Rod) and hit the calculate button.

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

What is the formula to find Weight Density of Bar using Area at Section 1 of Bars of uniform Strength?

The formula of Weight Density of Bar using Area at Section 1 of Bars of uniform Strength is expressed as Specific Weight = (2.303*log10(Area 1/Area 2))*Uniform Stress/Length of Rod. Here is an example- 0.070663 = (2.303*log10(0.001256/0.00125))*27000000/1.83.

How to calculate Weight Density of Bar using Area at Section 1 of Bars of uniform Strength?

With Area 1 (A₁), Area 2 (A₂), Uniform Stress (σ_Uniform) & Length of Rod (L_Rod) we can find Weight Density of Bar using Area at Section 1 of Bars of uniform Strength using the formula - Specific Weight = (2.303*log10(Area 1/Area 2))*Uniform Stress/Length of Rod. This formula also uses Common Logarithm (log10) function(s).

Can the Weight Density of Bar using Area at Section 1 of Bars of uniform Strength be negative?

Yes, the Weight Density of Bar using Area at Section 1 of Bars of uniform Strength, measured in Specific Weight can be negative.

Which unit is used to measure Weight Density of Bar using Area at Section 1 of Bars of uniform Strength?

Weight Density of Bar using Area at Section 1 of Bars of uniform Strength 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 Weight Density of Bar using Area at Section 1 of Bars of uniform Strength can be measured.

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

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

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

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

Other formulas in Bar of Uniform Strength category

How to Evaluate Weight Density of Bar using Area at Section 1 of Bars of uniform Strength?

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

Variable Name