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

✖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%
✖Uniform Stress is one in which stress developed at every cross-section of the bar remains the same along the longitudinal axis.ⓘ Uniform Stress [σ_Uniform]			+10% -10%
✖Length of Rod is defined as the total length of the conducting rod.ⓘ Length of Rod [L_Rod]			+10% -10%

✖Specific Weight is defined as weight per unit volume.ⓘ Weight Density of Bar using Area at Section 1 of Bars of uniform Strength [γ]

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Formula

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

Formula

`"γ" = (2.303*log10("A"_{"1"}/"A"_{"2"}))*"σ"_{"Uniform"}/"L"_{"Rod"}`

Example

`"70.66298kN/m³"=(2.303*log10("0.001256m²"/"0.001250m²"))*"27MPa"/"1.83m"`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Specific Weight - (Measured in Newton per Cubic Meter) - Specific Weight is defined as weight per unit volume.
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.
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 of Rod - (Measured in Meter) - Length of Rod is defined as the total length of the conducting rod.

STEP 1: Convert Input(s) to Base Unit

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
Uniform Stress: 27 Megapascal --> 27000000 Pascal (Check conversion here)
Length of Rod: 1.83 Meter --> 1.83 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = (2.303*log10(A₁/A₂))*σ_Uniform/L_Rod --> (2.303*log10(0.001256/0.00125))*27000000/1.83

Evaluating ... ...

γ = 70662.977459371

STEP 3: Convert Result to Output's Unit

70662.977459371 Newton per Cubic Meter -->70.662977459371 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

70.662977459371 ≈ 70.66298 Kilonewton per Cubic Meter <-- Specific Weight

(Calculation completed in 00.004 seconds)

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< 3 Bar of Uniform Strength Calculators

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

Go Specific Weight = (2.303*log10(Area 1/Area 2))*Uniform Stress/Length of Rod

Area at Section 1 of Bars of Uniform Strength

Go Area 1 = Area 2*e^(Specific Weight*Length of Rod/Uniform Stress)

Area at Section 2 of Bars of Uniform Strength

Go Area 2 = Area 1/e^(Specific Weight*Length of Rod/Uniform Stress)

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

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

What is Uniform Strength of Bar?

The extreme fibers 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 fibers are loaded to the maximum permissible stress p max by varying the cross section it will be known as a beam of uniform strength.

How to Calculate 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 calculator uses Specific Weight = (2.303*log10(Area 1/Area 2))*Uniform Stress/Length of Rod to calculate 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 calculate Weight Density of Bar using Area at Section 1 of Bars of uniform Strength using this online calculator? To use this online calculator 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. Here is how the Weight Density of Bar using Area at Section 1 of Bars of uniform Strength calculation can be explained with given input values -> 0.070663 = (2.303*log10(0.001256/0.00125))*27000000/1.83.

FAQ

What is Weight Density of Bar using Area at Section 1 of Bars of uniform Strength?

The Weight Density of Bar using Area at Section 1 of Bars of uniform Strength is defined as self weight of bar and is represented as γ = (2.303*log10(A₁/A₂))*σ_Uniform/L_Rod or Specific Weight = (2.303*log10(Area 1/Area 2))*Uniform Stress/Length of Rod. 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, Uniform Stress is one in which stress developed at every cross-section of the bar remains the same along the longitudinal axis & Length of Rod is defined as the total length of the conducting rod.

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

The Weight Density of Bar using Area at Section 1 of Bars of uniform Strength is defined as self weight of bar is calculated using Specific Weight = (2.303*log10(Area 1/Area 2))*Uniform Stress/Length of Rod. To calculate Weight Density of Bar using Area at Section 1 of Bars of uniform Strength, you need Area 1 (A₁), Area 2 (A₂), Uniform Stress (σ_Uniform) & Length of Rod (L_Rod). With our tool, you need to enter the respective value for Area 1, Area 2, Uniform Stress & Length 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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