Uniform Stress on Bar due to Self-Weight Calculator

✖Length is the measurement or extent of something from end to end.ⓘ Length [L]			+10% -10%
✖Area 1 is the cross-sectional area at one end of a bar/shaft.ⓘ Area 1 [A₁]			+10% -10%
✖Area 2 is the cross-sectional area at the second end of the bar/section.ⓘ Area 2 [A₂]			+10% -10%
✖Specific Weight of Rod is defined as weight per unit volume of the rod.ⓘ Specific Weight of Rod [γ_Rod]			+10% -10%

✖Uniform Stress is one in which stress developed at every cross-section of the bar remains the same along the longitudinal axis.ⓘ Uniform Stress on Bar due to Self-Weight [σ_Uniform]

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Uniform Stress on Bar due to Self-Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Uniform Stress = Length/((2.303*log10(Area 1/Area 2))/Specific Weight of Rod)
σ_Uniform = L/((2.303*log10(A₁/A₂))/γ_Rod)
This formula uses 1 Functions, 5 Variables

Functions Used

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., log10(Number)

Variables Used

Uniform Stress - (Measured in Pascal) - Uniform Stress is one in which stress developed at every cross-section of the bar remains the same along the longitudinal axis.
Length - (Measured in Meter) - Length is the measurement or extent of something from end to end.
Area 1 - (Measured in Square Meter) - Area 1 is the cross-sectional area at one end of a bar/shaft.
Area 2 - (Measured in Square Meter) - Area 2 is the cross-sectional area at the second end of the bar/section.
Specific Weight of Rod - (Measured in Newton per Cubic Meter) - Specific Weight of Rod is defined as weight per unit volume of the rod.

STEP 1: Convert Input(s) to Base Unit

Length: 3 Meter --> 3 Meter No Conversion Required
Area 1: 0.001256 Square Meter --> 0.001256 Square Meter No Conversion Required
Area 2: 0.00125 Square Meter --> 0.00125 Square Meter No Conversion Required
Specific Weight of Rod: 4930.96 Kilonewton per Cubic Meter --> 4930960 Newton per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_Uniform = L/((2.303*log10(A₁/A₂))/γ_Rod) --> 3/((2.303*log10(0.001256/0.00125))/4930960)

Evaluating ... ...

σ_Uniform = 3088683981.40833

STEP 3: Convert Result to Output's Unit

3088683981.40833 Pascal -->3088.68398140833 Megapascal (Check conversion here)

FINAL ANSWER

3088.68398140833 ≈ 3088.684 Megapascal <-- Uniform Stress

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Elongation due to Self weight Calculators

Length of Rod of Truncated Conical Section

LaTeX Go Length of Tapered Bar = sqrt(Elongation/(((Specific Weight of Rod)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))))

Specific weight of Truncated Conical Rod using its elongation due to Self Weight

LaTeX Go Specific Weight of Rod = Elongation/(((Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2)))

Modulus of Elasticity of Rod using Extension of Truncated Conical Rod due to Self Weight

LaTeX Go Young's Modulus = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Elongation*(Diameter1-Diameter2))

Elongation of Truncated Conical Rod due to Self Weight

LaTeX Go Elongation = ((Specific Weight of Rod*Length of Tapered Bar^2)*(Diameter1+Diameter2))/(6*Young's Modulus*(Diameter1-Diameter2))

Uniform Stress on Bar due to Self-Weight Formula

LaTeX Go

Uniform Stress = Length/((2.303*log10(Area 1/Area 2))/Specific Weight of Rod)
σ_Uniform = L/((2.303*log10(A₁/A₂))/γ_Rod)

What is Uniform Strength of Bar?

The extreme fibres can be loaded to the maximum capacity of permissible stress (say p max), but they are loaded to less capacity. When a beam is suitably designed such that the extreme fibres are loaded to the maximum permissible stress p max by varying the cross section it will be known as a beam of uniform strength.c

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

Uniform Stress on Bar due to Self-Weight calculator uses Uniform Stress = Length/((2.303*log10(Area 1/Area 2))/Specific Weight of Rod) to calculate 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 calculate Uniform Stress on Bar due to Self-Weight using this online calculator? To use this online calculator 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. Here is how the Uniform Stress on Bar due to Self-Weight calculation can be explained with given input values -> 0.003089 = 3/((2.303*log10(0.001256/0.00125))/4930960).

FAQ

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

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 and is represented as σ_Uniform = L/((2.303*log10(A₁/A₂))/γ_Rod) or Uniform Stress = Length/((2.303*log10(Area 1/Area 2))/Specific Weight of Rod). Length is the measurement or extent of something from end to end, Area 1 is the cross-sectional area at one end of a bar/shaft, Area 2 is the cross-sectional area at the second end of the bar/section & Specific Weight of Rod is defined as weight per unit volume of the rod.

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

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 is calculated using Uniform Stress = Length/((2.303*log10(Area 1/Area 2))/Specific Weight of Rod). To calculate Uniform Stress on Bar due to Self-Weight, you need Length (L), Area 1 (A₁), Area 2 (A₂) & Specific Weight of Rod (γ_Rod). With our tool, you need to enter the respective value for Length, Area 1, Area 2 & Specific Weight of Rod and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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