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: 3.2 Millimeter --> 0.0032 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*0.0032*0.0041)/(4*1.3)
Evaluating ... ...
K = 0.000118897198889706
STEP 3: Convert Result to Output's Unit
0.000118897198889706 Newton per Meter --> No Conversion Required
FINAL ANSWER
0.000118897198889706 0.000119 Newton per Meter <-- Stiffness Constant
(Calculation completed in 00.020 seconds)

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4 Stiffness Calculators

Stiffness of Tapered Rod under Axial Load
Go Stiffness Constant = (pi*Young's Modulus*End Diameter 1*End Diameter 2)/(4*Total Length)
Stiffness of Cantilever Beam
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
Go Stiffness Constant = (Young's Modulus*Rod cross-sectional area)/Total Length
Stiffness of Fixed-Fixed Beam with Load at Middle
Go Stiffness Constant = (192*Young's Modulus*Moment of Inertia)/Total Length^3

Stiffness of Tapered Rod under Axial Load Formula

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, The Stiffness of Tapered Rod under Axial Load is defined as the ability of the material of the rod to resist the deformation when an axial load acts on it. 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*0.0032*0.0041)/(4*1.3).

FAQ

What is Stiffness of Tapered Rod under Axial Load?
The Stiffness of Tapered Rod under Axial Load is defined as the ability of the material of the rod to resist the deformation when an axial load acts on it 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?
The Stiffness of Tapered Rod under Axial Load is defined as the ability of the material of the rod to resist the deformation when an axial load acts on it 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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