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Length of Bar using its Uniform Strength Formula

GoLength of Bar using Elongation due to Self Weight in Prismatic bar Formula

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Length is the measurement or extent of something from end to end. Check FAQs

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

L - Length?A₁ - Area 1?A₂ - Area 2?σ_Uniform - Uniform Stress?γ_Rod - Specific Weight of Rod?

Length of Bar using its Uniform Strength Example

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Here is how the Length of Bar using its Uniform Strength equation looks like with Values.

Here is how the Length of Bar using its Uniform Strength equation looks like with Units.

Here is how the Length of Bar using its Uniform Strength equation looks like.

0.0262 = (2.303 \cdot \log 10 (\frac{0.0013}{0.0012})) \cdot (\frac{27}{4930.96})

0.0262m = (2.303 \cdot \log 10 (\frac{0.0013m²}{0.0012m²})) \cdot (\frac{27MPa}{4930.96kN/m³})

0.0262 = (2.303 \cdot \log 10 (\frac{0.0013}{0.0012})) \cdot (\frac{27}{4930.96})

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Length of Bar using its Uniform Strength Solution

Follow our step by step solution on how to calculate Length of Bar using its Uniform Strength?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = (2.303 \cdot \log 10 (\frac{0.0013m²}{0.0012m²})) \cdot (\frac{27MPa}{4930.96kN/m³})

Next Step Convert Units

∴

L = (2.303 \cdot \log 10 (\frac{0.0013m²}{0.0012m²})) \cdot (\frac{2.7E+7Pa}{4.9E+6N/m³})

Next Step Prepare to Evaluate

∴

L = (2.303 \cdot \log 10 (\frac{0.0013}{0.0012})) \cdot (\frac{2.7E+7}{4.9E+6})

Next Step Evaluate

∴

L = 0.0262247612535184m

LAST Step Rounding Answer

∴

L = 0.0262m

Length of Bar using its Uniform Strength Formula Elements

Variables

Functions

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

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

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

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 to find Length

Go Length of Bar using Elongation due to Self Weight in Prismatic bar

L = \sqrt{\frac{δl}{\frac{γ Rod}{E \cdot 2}}}

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 Length of Bar using its Uniform Strength?

Length of Bar using its Uniform Strength evaluator uses Length = (2.303*log10(Area 1/Area 2))*(Uniform Stress/Specific Weight of Rod) to evaluate the Length, The Length of Bar using its Uniform Strength formula is defined as the length where the pull is experienced on the bars when strength is uniform throughout. Length is denoted by L symbol.

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

FAQs on Length of Bar using its Uniform Strength

What is the formula to find Length of Bar using its Uniform Strength?

The formula of Length of Bar using its Uniform Strength is expressed as Length = (2.303*log10(Area 1/Area 2))*(Uniform Stress/Specific Weight of Rod). Here is an example- 0.026225 = (2.303*log10(0.001256/0.00125))*(27000000/4930960).

How to calculate Length of Bar using its Uniform Strength?

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

What are the other ways to Calculate Length?

Here are the different ways to Calculate Length-

Length=sqrt(Elongation/(Specific Weight of Rod/(Young's Modulus*2)))

Can the Length of Bar using its Uniform Strength be negative?

No, the Length of Bar using its Uniform Strength, measured in Length cannot be negative.

Which unit is used to measure Length of Bar using its Uniform Strength?

Length of Bar using its Uniform Strength is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Bar using its Uniform Strength can be measured.

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Length of Bar using its Uniform Strength Formula

​GoLength of Bar using Elongation due to Self Weight in Prismatic bar Formula

Length of Bar using its Uniform Strength Example

Length of Bar using its Uniform Strength Solution

Length of Bar using its Uniform Strength Formula Elements

Other Formulas to find Length

Other formulas in Elongation due to Self weight category

How to Evaluate Length of Bar using its Uniform Strength?

FAQs on Length of Bar using its Uniform Strength

Variable Name

GoLength of Bar using Elongation due to Self Weight in Prismatic bar Formula