Elongation Circular Tapered Bar Calculator

✖Load is the instantaneous load applied perpendicular to the specimen cross-section.ⓘ Load [W_load]			+10% -10%
✖Length Of Bar is defined as the total length of the Bar.ⓘ Length of Bar [L_bar]			+10% -10%
✖The Diameter of Bigger End is the diameter of larger end of circular tapered bar.ⓘ Diameter of Bigger End [D₁]			+10% -10%
✖The Diameter of Smaller End is diameter of smaller end of circular tapered bar.ⓘ Diameter of Smaller End [D₂]			+10% -10%
✖The Elastic Modulus is the ratio of Stress to Strain.ⓘ Elastic Modulus [e]			+10% -10%

✖The Elongation is change in length due to subjected load.ⓘ Elongation Circular Tapered Bar [∆]

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Formula

✖

Elongation Circular Tapered Bar

Formula

`"∆" = (4*"W"_{"load"}*"L"_{"bar"})/(pi*"D"_{"1"}*"D"_{"2"}*"e")`

Example

`"7051.788mm"=(4*"3.6kN"*"2000mm")/(pi*"5200mm"*"5000mm"*"50Pa")`

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Elongation Circular Tapered Bar Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elongation = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus)
∆ = (4*W_load*L_bar)/(pi*D₁*D₂*e)
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Elongation - (Measured in Meter) - The Elongation is change in length due to subjected load.
Load - (Measured in Newton) - Load is the instantaneous load applied perpendicular to the specimen cross-section.
Length of Bar - (Measured in Meter) - Length Of Bar is defined as the total length of the Bar.
Diameter of Bigger End - (Measured in Meter) - The Diameter of Bigger End is the diameter of larger end of circular tapered bar.
Diameter of Smaller End - (Measured in Meter) - The Diameter of Smaller End is diameter of smaller end of circular tapered bar.
Elastic Modulus - (Measured in Pascal) - The Elastic Modulus is the ratio of Stress to Strain.

STEP 1: Convert Input(s) to Base Unit

Load: 3.6 Kilonewton --> 3600 Newton (Check conversion here)
Length of Bar: 2000 Millimeter --> 2 Meter (Check conversion here)
Diameter of Bigger End: 5200 Millimeter --> 5.2 Meter (Check conversion here)
Diameter of Smaller End: 5000 Millimeter --> 5 Meter (Check conversion here)
Elastic Modulus: 50 Pascal --> 50 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∆ = (4*W_load*L_bar)/(pi*D₁*D₂*e) --> (4*3600*2)/(pi*5.2*5*50)

Evaluating ... ...

∆ = 7.05178824776398

STEP 3: Convert Result to Output's Unit

7.05178824776398 Meter -->7051.78824776398 Millimeter (Check conversion here)

FINAL ANSWER

7051.78824776398 ≈ 7051.788 Millimeter <-- Elongation

(Calculation completed in 00.020 seconds)

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Home » Engineering » Mechanical » Strength of Materials » Stress and Strain » Elongation Circular Tapered Bar

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College Of Engineering (COEP), Pune

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< 21 Stress and Strain Calculators

Normal Stress 1

Go Normal Stress 1 = (Principal Stress along x+Principal Stress along y)/2+sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress on Upper Surface^2)

Normal Stress 2

Go Normal Stress 2 = (Principal Stress along x+Principal Stress along y)/2-sqrt(((Principal Stress along x-Principal Stress along y)/2)^2+Shear Stress on Upper Surface^2)

Elongation Circular Tapered Bar

Go Elongation = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus)

Total Angle of Twist

Go Total Angle of Twist = (Torque Exerted on Wheel*Shaft Length)/(Shear Modulus*Polar Moment of Inertia)

Moment of Inertia for Hollow Circular Shaft

Go Polar Moment of Inertia = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4))

Equivalent Bending Moment

Go Equivalent Bending Moment = Bending Moment+sqrt(Bending Moment^(2)+Torque Exerted on Wheel^(2))

Deflection of Fixed Beam with Uniformly Distributed Load

Go Deflection of Beam = (Width of Beam*Beam Length^4)/(384*Elastic Modulus*Moment of Inertia)

Deflection of Fixed Beam with Load at Center

Go Deflection of Beam = (Width of Beam*Beam Length^3)/(192*Elastic Modulus*Moment of Inertia)

Elongation of Prismatic Bar due to its Own Weight

Go Elongation = (2*Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)

Axial Elongation of Prismatic Bar due to External Load

Go Elongation = (Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)

Hooke's Law

Go Young's Modulus = (Load*Elongation)/(Area of Base*Initial Length)

Equivalent Torsional Moment

Go Equivalent Torsion Moment = sqrt(Bending Moment^(2)+Torque Exerted on Wheel^(2))

Rankine's Formula for Columns

Go Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns)

Slenderness Ratio

Go Slenderness Ratio = Effective Length/Least Radius of Gyration

Moment of Inertia about Polar Axis

Go Polar Moment of Inertia = (pi*Diameter of Shaft^(4))/32

Torque on Shaft

Go Torque Exerted on Shaft = Force*Shaft Diameter/2

Bulk Modulus given Volume Stress and Strain

Go Bulk Modulus = Volume Stress/Volumetric Strain

Shear Modulus

Go Shear Modulus = Shear Stress/Shear Strain

Bulk Modulus given Bulk Stress and Strain

Go Bulk Modulus = Bulk Stress/Bulk Strain

Young's Modulus

Go Young's Modulus = Stress/Strain

Elastic Modulus

Go Young's Modulus = Stress/Strain

Elongation Circular Tapered Bar Formula

Elongation = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus)
∆ = (4*W_load*L_bar)/(pi*D₁*D₂*e)

What is circular tapered rod?

A circular rod is basically taper uniformly from one end to another end throughout the length and therefore its one end will be of larger diameter and other end will be of smaller diameter.

How to Calculate Elongation Circular Tapered Bar?

Elongation Circular Tapered Bar calculator uses Elongation = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus) to calculate the Elongation, The elongation circular tapered bar is 4 times the rod length product and the stress and elastic modulus ratio. Elongation is denoted by ∆ symbol.

How to calculate Elongation Circular Tapered Bar using this online calculator? To use this online calculator for Elongation Circular Tapered Bar, enter Load (W_load), Length of Bar (L_bar), Diameter of Bigger End (D₁), Diameter of Smaller End (D₂) & Elastic Modulus (e) and hit the calculate button. Here is how the Elongation Circular Tapered Bar calculation can be explained with given input values -> 7.1E+6 = (4*3600*2)/(pi*5.2*5*50).

FAQ

What is Elongation Circular Tapered Bar?

The elongation circular tapered bar is 4 times the rod length product and the stress and elastic modulus ratio and is represented as ∆ = (4*W_load*L_bar)/(pi*D₁*D₂*e) or Elongation = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus). Load is the instantaneous load applied perpendicular to the specimen cross-section, Length Of Bar is defined as the total length of the Bar, The Diameter of Bigger End is the diameter of larger end of circular tapered bar, The Diameter of Smaller End is diameter of smaller end of circular tapered bar & The Elastic Modulus is the ratio of Stress to Strain.

How to calculate Elongation Circular Tapered Bar?

The elongation circular tapered bar is 4 times the rod length product and the stress and elastic modulus ratio is calculated using Elongation = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus). To calculate Elongation Circular Tapered Bar, you need Load (W_load), Length of Bar (L_bar), Diameter of Bigger End (D₁), Diameter of Smaller End (D₂) & Elastic Modulus (e). With our tool, you need to enter the respective value for Load, Length of Bar, Diameter of Bigger End, Diameter of Smaller End & Elastic Modulus and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Elongation?

In this formula, Elongation uses Load, Length of Bar, Diameter of Bigger End, Diameter of Smaller End & Elastic Modulus. We can use 2 other way(s) to calculate the same, which is/are as follows -

Elongation = (2*Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)
Elongation = (Load*Length of Bar)/(Area of Prismatic Bar*Elastic Modulus)

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