Area at Section 2 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%
✖Specific Weight is defined as weight per unit volume.ⓘ Specific Weight [γ]			+10% -10%
✖Length of Rod is defined as the total length of the conducting rod.ⓘ Length of Rod [L_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 [σ_Uniform]			+10% -10%

✖Area 2 is the cross-sectional area at the second end of the bar/section.ⓘ Area at Section 2 of Bars of Uniform Strength [A₂]

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Area at Section 2 of Bars of Uniform Strength Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area 2 = Area 1/e^(Specific Weight*Length of Rod/Uniform Stress)
A₂ = A₁/e^(γ*L_Rod/σ_Uniform)
This formula uses 1 Constants, 5 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Variables Used

Area 2 - (Measured in Square Meter) - Area 2 is the cross-sectional area at the second end of the bar/section.
Area 1 - (Measured in Square Meter) - Area 1 is the cross-sectional area at one end of a bar/shaft.
Specific Weight - (Measured in Newton per Cubic Meter) - Specific Weight is defined as weight per unit volume.
Length of Rod - (Measured in Meter) - Length of Rod is defined as the total length of the conducting rod.
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.

STEP 1: Convert Input(s) to Base Unit

Area 1: 0.001256 Square Meter --> 0.001256 Square Meter No Conversion Required
Specific Weight: 70 Kilonewton per Cubic Meter --> 70000 Newton per Cubic Meter (Check conversion here)
Length of Rod: 1.83 Meter --> 1.83 Meter No Conversion Required
Uniform Stress: 27 Megapascal --> 27000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A₂ = A₁/e^(γ*L_Rod/σ_Uniform) --> 0.001256/e^(70000*1.83/27000000)

Evaluating ... ...

A₂ = 0.00125005509157319

STEP 3: Convert Result to Output's Unit

0.00125005509157319 Square Meter --> No Conversion Required

FINAL ANSWER

0.00125005509157319 ≈ 0.00125 Square Meter <-- Area 2

(Calculation completed in 00.004 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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< Bar of Uniform Strength Calculators

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

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

Area at Section 1 of Bars of Uniform Strength

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

Area at Section 2 of Bars of Uniform Strength

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

Area at Section 2 of Bars of Uniform Strength Formula

LaTeX Go

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

What is the Curvature of a Vertical Bar kept in Uniform Tensile Stress?

The Curvature of a Vertical Bar kept in Uniform Tensile Stress can be expressed as an exponential function that takes the least value at the lower end and maximum at the upper end.

How to Calculate Area at Section 2 of Bars of Uniform Strength?

Area at Section 2 of Bars of Uniform Strength calculator uses Area 2 = Area 1/e^(Specific Weight*Length of Rod/Uniform Stress) to calculate the Area 2, The Area at Section 2 of Bars of Uniform Strength is defined as exponential function of the product of specific weight with the ratio of length of rod and stress. The area of the upper end of the rod is further divided by this exponential function. Area 2 is denoted by A₂ symbol.

How to calculate Area at Section 2 of Bars of Uniform Strength using this online calculator? To use this online calculator for Area at Section 2 of Bars of Uniform Strength, enter Area 1 (A₁), Specific Weight (γ), Length of Rod (L_Rod) & Uniform Stress (σ_Uniform) and hit the calculate button. Here is how the Area at Section 2 of Bars of Uniform Strength calculation can be explained with given input values -> 0.00125 = 0.001256/e^(70000*1.83/27000000).

FAQ

What is Area at Section 2 of Bars of Uniform Strength?

The Area at Section 2 of Bars of Uniform Strength is defined as exponential function of the product of specific weight with the ratio of length of rod and stress. The area of the upper end of the rod is further divided by this exponential function and is represented as A₂ = A₁/e^(γ*L_Rod/σ_Uniform) or Area 2 = Area 1/e^(Specific Weight*Length of Rod/Uniform Stress). Area 1 is the cross-sectional area at one end of a bar/shaft, Specific Weight is defined as weight per unit volume, Length of Rod is defined as the total length of the conducting rod & Uniform Stress is one in which stress developed at every cross-section of the bar remains the same along the longitudinal axis.

How to calculate Area at Section 2 of Bars of Uniform Strength?

The Area at Section 2 of Bars of Uniform Strength is defined as exponential function of the product of specific weight with the ratio of length of rod and stress. The area of the upper end of the rod is further divided by this exponential function is calculated using Area 2 = Area 1/e^(Specific Weight*Length of Rod/Uniform Stress). To calculate Area at Section 2 of Bars of Uniform Strength, you need Area 1 (A₁), Specific Weight (γ), Length of Rod (L_Rod) & Uniform Stress (σ_Uniform). With our tool, you need to enter the respective value for Area 1, Specific Weight, Length of Rod & Uniform Stress 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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