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Uniform Stress on Bar due to Self-Weight Formula

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

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

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

Uniform Stress on Bar due to Self-Weight Example

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Here is how the Uniform Stress on Bar due to Self-Weight equation looks like with Values.

Here is how the Uniform Stress on Bar due to Self-Weight equation looks like with Units.

Here is how the Uniform Stress on Bar due to Self-Weight equation looks like.

3088.684 = \frac{3}{\frac{2.303 \cdot \log 10 (\frac{0.0013}{0.0012})}{4930.96}}

3088.684MPa = \frac{3m}{\frac{2.303 \cdot \log 10 (\frac{0.0013m²}{0.0012m²})}{4930.96kN/m³}}

3088.684 = \frac{3}{\frac{2.303 \cdot \log 10 (\frac{0.0013}{0.0012})}{4930.96}}

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Uniform Stress on Bar due to Self-Weight Solution

Follow our step by step solution on how to calculate Uniform Stress on Bar due to Self-Weight?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ Uniform = \frac{3m}{\frac{2.303 \cdot \log 10 (\frac{0.0013m²}{0.0012m²})}{4930.96kN/m³}}

Next Step Convert Units

∴

σ Uniform = \frac{3m}{\frac{2.303 \cdot \log 10 (\frac{0.0013m²}{0.0012m²})}{4.9E+6N/m³}}

Next Step Prepare to Evaluate

∴

σ Uniform = \frac{3}{\frac{2.303 \cdot \log 10 (\frac{0.0013}{0.0012})}{4.9E+6}}

Next Step Evaluate

∴

σ Uniform = 3088683981.40833Pa

Next Step Convert to Output's Unit

∴

σ Uniform = 3088.68398140833MPa

LAST Step Rounding Answer

∴

σ Uniform = 3088.684MPa

Uniform Stress on Bar due to Self-Weight Formula Elements

Variables

Functions

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

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

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 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 Uniform Stress on Bar due to Self-Weight?

Uniform Stress on Bar due to Self-Weight evaluator uses Uniform Stress = Length/((2.303*log10(Area 1/Area 2))/Specific Weight of Rod) to evaluate the Uniform Stress, The Uniform Stress on Bar due to Self-Weight formula is defined as a bar having uniform stress when it is subjected to its own weight. Uniform Stress is denoted by σ_Uniform symbol.

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

FAQs on Uniform Stress on Bar due to Self-Weight

What is the formula to find Uniform Stress on Bar due to Self-Weight?

The formula of Uniform Stress on Bar due to Self-Weight is expressed as Uniform Stress = Length/((2.303*log10(Area 1/Area 2))/Specific Weight of Rod). Here is an example- 0.003089 = 3/((2.303*log10(0.001256/0.00125))/4930960).

How to calculate Uniform Stress on Bar due to Self-Weight?

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

Can the Uniform Stress on Bar due to Self-Weight be negative?

Yes, the Uniform Stress on Bar due to Self-Weight, measured in Stress can be negative.

Which unit is used to measure Uniform Stress on Bar due to Self-Weight?

Uniform Stress on Bar due to Self-Weight is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Uniform Stress on Bar due to Self-Weight can be measured.

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Uniform Stress on Bar due to Self-Weight Formula

Uniform Stress on Bar due to Self-Weight Example

Uniform Stress on Bar due to Self-Weight Solution

Uniform Stress on Bar due to Self-Weight Formula Elements

Other formulas in Elongation due to Self weight category

How to Evaluate Uniform Stress on Bar due to Self-Weight?

FAQs on Uniform Stress on Bar due to Self-Weight

Variable Name