Change in length of Tapered Bar Calculator

✖Applied force is a force that is applied to an object by a person or another object.ⓘ Applied Force [F_a]			+10% -10%
✖The Length of Tapered Bar is defined as the total length of the Bar.ⓘ Length of Tapered Bar [l]			+10% -10%
✖Thickness is the distance through an object.ⓘ Thickness [t]			+10% -10%
✖Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus Bar [E]			+10% -10%
✖Length of Tapered Bar on Right is the length of the tapered bar on the right side.ⓘ Length of Tapered Bar on Right [L^Right]			+10% -10%
✖Length of Tapered Bar on Left is the length of the tapered bar on the left side.ⓘ Length of Tapered Bar on Left [L_Left]			+10% -10%

✖Change in Length of Tapered Bar is defined as change in length due to applied force.ⓘ Change in length of Tapered Bar [ΔL]

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Formula

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Change in length of Tapered Bar

Formula

`"ΔL" = ("F"_{"a"}*"l"/("t"*"E"*("L"^{"Right"}-"L"_{"Left"})))*ln("L"^{"Right"}/"L"_{"Left"})/1000000`

Example

`"0.0084mm"=("2500N"*"7.8m"/("1.2m"*"0.023MPa"*("70mm"-"100mm")))*ln("70mm"/"100mm")/1000000`

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Change in length of Tapered Bar Solution

STEP 0: Pre-Calculation Summary

Formula Used

Change in Length of Tapered Bar = (Applied Force*Length of Tapered Bar/(Thickness*Young's Modulus Bar*(Length of Tapered Bar on Right-Length of Tapered Bar on Left)))*ln(Length of Tapered Bar on Right/Length of Tapered Bar on Left)/1000000
ΔL = (F_a*l/(t*E*(L^Right-L_Left)))*ln(L^Right/L_Left)/1000000
This formula uses 1 Functions, 7 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Change in Length of Tapered Bar - (Measured in Meter) - Change in Length of Tapered Bar is defined as change in length due to applied force.
Applied Force - (Measured in Newton) - Applied force is a force that is applied to an object by a person or another object.
Length of Tapered Bar - (Measured in Meter) - The Length of Tapered Bar is defined as the total length of the Bar.
Thickness - (Measured in Meter) - Thickness is the distance through an object.
Young's Modulus Bar - (Measured in Pascal) - Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Length of Tapered Bar on Right - (Measured in Meter) - Length of Tapered Bar on Right is the length of the tapered bar on the right side.
Length of Tapered Bar on Left - (Measured in Meter) - Length of Tapered Bar on Left is the length of the tapered bar on the left side.

STEP 1: Convert Input(s) to Base Unit

Applied Force: 2500 Newton --> 2500 Newton No Conversion Required
Length of Tapered Bar: 7.8 Meter --> 7.8 Meter No Conversion Required
Thickness: 1.2 Meter --> 1.2 Meter No Conversion Required
Young's Modulus Bar: 0.023 Megapascal --> 23000 Pascal (Check conversion here)
Length of Tapered Bar on Right: 70 Millimeter --> 0.07 Meter (Check conversion here)
Length of Tapered Bar on Left: 100 Millimeter --> 0.1 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔL = (F_a*l/(t*E*(L^Right-L_Left)))*ln(L^Right/L_Left)/1000000 --> (2500*7.8/(1.2*23000*(0.07-0.1)))*ln(0.07/0.1)/1000000

Evaluating ... ...

ΔL = 8.39995338986145E-06

STEP 3: Convert Result to Output's Unit

8.39995338986145E-06 Meter -->0.00839995338986145 Millimeter (Check conversion here)

FINAL ANSWER

0.00839995338986145 ≈ 0.0084 Millimeter <-- Change in Length of Tapered Bar

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 1 Change in length of Tapered bar Calculators

Change in length of Tapered Bar

Go Change in Length of Tapered Bar = (Applied Force*Length of Tapered Bar/(Thickness*Young's Modulus Bar*(Length of Tapered Bar on Right-Length of Tapered Bar on Left)))*ln(Length of Tapered Bar on Right/Length of Tapered Bar on Left)/1000000

Change in length of Tapered Bar Formula

What is tapering bar?

A tapered bar subjected to an axial load will be analyzed in order to predict the distributions of stress and displacement in the bar.

How to Calculate Change in length of Tapered Bar?

Change in length of Tapered Bar calculator uses Change in Length of Tapered Bar = (Applied Force*Length of Tapered Bar/(Thickness*Young's Modulus Bar*(Length of Tapered Bar on Right-Length of Tapered Bar on Left)))*ln(Length of Tapered Bar on Right/Length of Tapered Bar on Left)/1000000 to calculate the Change in Length of Tapered Bar, The Change in length of Tapered Bar formula is defined as the Change in length of Tapered Bar formula is defined as deformation in a tapered bar due to applied load. Change in Length of Tapered Bar is denoted by ΔL symbol.

How to calculate Change in length of Tapered Bar using this online calculator? To use this online calculator for Change in length of Tapered Bar, enter Applied Force (F_a), Length of Tapered Bar (l), Thickness (t), Young's Modulus Bar (E), Length of Tapered Bar on Right (L^Right) & Length of Tapered Bar on Left (L_Left) and hit the calculate button. Here is how the Change in length of Tapered Bar calculation can be explained with given input values -> 0.016128 = (2500*7.8/(1.2*23000*(0.07-0.1)))*ln(0.07/0.1)/1000000.

FAQ

What is Change in length of Tapered Bar?

The Change in length of Tapered Bar formula is defined as the Change in length of Tapered Bar formula is defined as deformation in a tapered bar due to applied load and is represented as ΔL = (F_a*l/(t*E*(L^Right-L_Left)))*ln(L^Right/L_Left)/1000000 or Change in Length of Tapered Bar = (Applied Force*Length of Tapered Bar/(Thickness*Young's Modulus Bar*(Length of Tapered Bar on Right-Length of Tapered Bar on Left)))*ln(Length of Tapered Bar on Right/Length of Tapered Bar on Left)/1000000. Applied force is a force that is applied to an object by a person or another object, The Length of Tapered Bar is defined as the total length of the Bar, Thickness is the distance through an object, Young's Modulus Bar is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Length of Tapered Bar on Right is the length of the tapered bar on the right side & Length of Tapered Bar on Left is the length of the tapered bar on the left side.

How to calculate Change in length of Tapered Bar?

The Change in length of Tapered Bar formula is defined as the Change in length of Tapered Bar formula is defined as deformation in a tapered bar due to applied load is calculated using Change in Length of Tapered Bar = (Applied Force*Length of Tapered Bar/(Thickness*Young's Modulus Bar*(Length of Tapered Bar on Right-Length of Tapered Bar on Left)))*ln(Length of Tapered Bar on Right/Length of Tapered Bar on Left)/1000000. To calculate Change in length of Tapered Bar, you need Applied Force (F_a), Length of Tapered Bar (l), Thickness (t), Young's Modulus Bar (E), Length of Tapered Bar on Right (L^Right) & Length of Tapered Bar on Left (L_Left). With our tool, you need to enter the respective value for Applied Force, Length of Tapered Bar, Thickness, Young's Modulus Bar, Length of Tapered Bar on Right & Length of Tapered Bar on Left 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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