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Elongation Circular Tapered Bar Calculator

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Stress and Strain Strain Stress

✖Load is the instantaneous load applied perpendicular to the specimen cross-section.ⓘ Load [W_load]			+10% -10%
✖Length of Bar refers to the distance from one end of a structural or mechanical bar to the other.ⓘ 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 a fundamental property that quantifies the stiffness of a material. It is defined as the ratio of stress to strain within the elastic range of a material.ⓘ Elastic Modulus [e]			+10% -10%

✖Elongation in Circular Tapered Bar is the change in length of the circular tapered bar due to subjected load.ⓘ Elongation Circular Tapered Bar [Δ_c]

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Elongation Circular Tapered Bar Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elongation in Circular Tapered Bar = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus)
Δ_c = (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 in Circular Tapered Bar - (Measured in Meter) - Elongation in Circular Tapered Bar is the change in length of the circular tapered bar 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 refers to the distance from one end of a structural or mechanical bar to the other.
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 a fundamental property that quantifies the stiffness of a material. It is defined as the ratio of stress to strain within the elastic range of a material.

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

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

Evaluating ... ...

Δ_c = 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 in Circular Tapered Bar

(Calculation completed in 00.007 seconds)

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< Stress and Strain Calculators

Elongation Circular Tapered Bar

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

Moment of Inertia for Hollow Circular Shaft

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

Elongation of Prismatic Bar due to its Own Weight

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

Moment of Inertia about Polar Axis

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

Elongation Circular Tapered Bar Formula

LaTeX Go

Elongation in Circular Tapered Bar = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus)
Δ_c = (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 in Circular Tapered Bar = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus) to calculate the Elongation in Circular Tapered Bar, The Elongation Circular Tapered Bar formula is defined as a measure of the change in length of a circular tapered bar under axial loading, providing a critical parameter in the analysis of stress and strain in mechanical systems, particularly in the design of shafts, axles, and other mechanical components. Elongation in Circular Tapered Bar is denoted by Δ_c 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 formula is defined as a measure of the change in length of a circular tapered bar under axial loading, providing a critical parameter in the analysis of stress and strain in mechanical systems, particularly in the design of shafts, axles, and other mechanical components and is represented as Δ_c = (4*W_load*L_bar)/(pi*D₁*D₂*e) or Elongation in Circular Tapered Bar = (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 refers to the distance from one end of a structural or mechanical bar to the other, 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 a fundamental property that quantifies the stiffness of a material. It is defined as the ratio of stress to strain within the elastic range of a material.

How to calculate Elongation Circular Tapered Bar?

The Elongation Circular Tapered Bar formula is defined as a measure of the change in length of a circular tapered bar under axial loading, providing a critical parameter in the analysis of stress and strain in mechanical systems, particularly in the design of shafts, axles, and other mechanical components is calculated using Elongation in Circular Tapered Bar = (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.

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