Stiffness of Tapered Rod under Axial Load Calculator

✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%
✖End Diameter 1 is the diameter of the first end of the rod.ⓘ End Diameter 1 [d₁]			+10% -10%
✖End Diameter 2 is the diameter of the second end or another end of the rod.ⓘ End Diameter 2 [d₂]			+10% -10%
✖Total Length is the measurement or extent of something from end to end.ⓘ Total Length [L]			+10% -10%

✖The Stiffness Constant is a measure of the extent to which an object resists deformation in response to an applied force.ⓘ Stiffness of Tapered Rod under Axial Load [K]

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Stiffness of Tapered Rod under Axial Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stiffness Constant = (pi*Young's Modulus*End Diameter 1*End Diameter 2)/(4*Total Length)
K = (pi*E*d₁*d₂)/(4*L)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Stiffness Constant - (Measured in Newton per Meter) - The Stiffness Constant is a measure of the extent to which an object resists deformation in response to an applied force.
Young's Modulus - (Measured in Newton per Meter) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
End Diameter 1 - (Measured in Meter) - End Diameter 1 is the diameter of the first end of the rod.
End Diameter 2 - (Measured in Meter) - End Diameter 2 is the diameter of the second end or another end of the rod.
Total Length - (Measured in Meter) - Total Length is the measurement or extent of something from end to end.

STEP 1: Convert Input(s) to Base Unit

Young's Modulus: 15 Newton per Meter --> 15 Newton per Meter No Conversion Required
End Diameter 1: 466000.2 Millimeter --> 466.0002 Meter (Check conversion here)
End Diameter 2: 4.1 Millimeter --> 0.0041 Meter (Check conversion here)
Total Length: 1300 Millimeter --> 1.3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (pi*E*d₁*d₂)/(4*L) --> (pi*15*466.0002*0.0041)/(4*1.3)

Evaluating ... ...

K = 17.3144120193884

STEP 3: Convert Result to Output's Unit

17.3144120193884 Newton per Meter --> No Conversion Required

FINAL ANSWER

17.3144120193884 ≈ 17.31441 Newton per Meter <-- Stiffness Constant

(Calculation completed in 00.020 seconds)

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< Stiffness Calculators

Stiffness of Tapered Rod under Axial Load

LaTeX Go Stiffness Constant = (pi*Young's Modulus*End Diameter 1*End Diameter 2)/(4*Total Length)

Stiffness of Cantilever Beam

LaTeX Go Spring Constant of Cantilever Beam = (3*Young's Modulus*Moment of Inertia of Beam About Bending Axis)/Total Length^3

Stiffness of Rod under Axial Load

LaTeX Go Stiffness Constant = (Young's Modulus*Rod Cross Sectional Area)/Total Length

Stiffness of Fixed-Fixed Beam with Load at Middle

LaTeX Go Stiffness Constant = (192*Young's Modulus*Moment of Inertia)/Total Length^3

Stiffness of Tapered Rod under Axial Load Formula

LaTeX Go

Stiffness Constant = (pi*Young's Modulus*End Diameter 1*End Diameter 2)/(4*Total Length)
K = (pi*E*d₁*d₂)/(4*L)

What does it mean by axial load?

Axial loading is defined as applying a force on a structure directly along an axis of the structure.

What is difference between stiffness and strength?

Stiffness is an indicator of the tendency for an element to return to its original form after being subjected to a force. Strength measures how much stress can be applied to an element before it deforms permanently or fractures.

How to Calculate Stiffness of Tapered Rod under Axial Load?

Stiffness of Tapered Rod under Axial Load calculator uses Stiffness Constant = (pi*Young's Modulus*End Diameter 1*End Diameter 2)/(4*Total Length) to calculate the Stiffness Constant, Stiffness of Tapered Rod under Axial Load formula is defined as a measure of the resistance of a tapered rod to deformation under axial loading, providing a way to quantify the rod's ability to withstand compressive or tensile forces without changing its shape. Stiffness Constant is denoted by K symbol.

How to calculate Stiffness of Tapered Rod under Axial Load using this online calculator? To use this online calculator for Stiffness of Tapered Rod under Axial Load, enter Young's Modulus (E), End Diameter 1 (d₁), End Diameter 2 (d₂) & Total Length (L) and hit the calculate button. Here is how the Stiffness of Tapered Rod under Axial Load calculation can be explained with given input values -> 0.000119 = (pi*15*466.0002*0.0041)/(4*1.3).

FAQ

What is Stiffness of Tapered Rod under Axial Load?

Stiffness of Tapered Rod under Axial Load formula is defined as a measure of the resistance of a tapered rod to deformation under axial loading, providing a way to quantify the rod's ability to withstand compressive or tensile forces without changing its shape and is represented as K = (pi*E*d₁*d₂)/(4*L) or Stiffness Constant = (pi*Young's Modulus*End Diameter 1*End Diameter 2)/(4*Total Length). Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, End Diameter 1 is the diameter of the first end of the rod, End Diameter 2 is the diameter of the second end or another end of the rod & Total Length is the measurement or extent of something from end to end.

How to calculate Stiffness of Tapered Rod under Axial Load?

Stiffness of Tapered Rod under Axial Load formula is defined as a measure of the resistance of a tapered rod to deformation under axial loading, providing a way to quantify the rod's ability to withstand compressive or tensile forces without changing its shape is calculated using Stiffness Constant = (pi*Young's Modulus*End Diameter 1*End Diameter 2)/(4*Total Length). To calculate Stiffness of Tapered Rod under Axial Load, you need Young's Modulus (E), End Diameter 1 (d₁), End Diameter 2 (d₂) & Total Length (L). With our tool, you need to enter the respective value for Young's Modulus, End Diameter 1, End Diameter 2 & Total Length 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 Stiffness Constant?

In this formula, Stiffness Constant uses Young's Modulus, End Diameter 1, End Diameter 2 & Total Length. We can use 2 other way(s) to calculate the same, which is/are as follows -

Stiffness Constant = (Young's Modulus*Rod Cross Sectional Area)/Total Length
Stiffness Constant = (192*Young's Modulus*Moment of Inertia)/Total Length^3

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