Stiffness of 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%
✖Rod Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Rod Cross Sectional Area [A_c]			+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 Rod under Axial Load [K]

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Stiffness of Rod under Axial Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stiffness Constant = (Young's Modulus*Rod Cross Sectional Area)/Total Length
K = (E*A_c)/L
This formula uses 4 Variables

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.
Rod Cross Sectional Area - (Measured in Square Meter) - Rod Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
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
Rod Cross Sectional Area: 1.5 Square Meter --> 1.5 Square Meter No Conversion Required
Total Length: 1300 Millimeter --> 1.3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (E*A_c)/L --> (15*1.5)/1.3

Evaluating ... ...

K = 17.3076923076923

STEP 3: Convert Result to Output's Unit

17.3076923076923 Newton per Meter --> No Conversion Required

FINAL ANSWER

17.3076923076923 ≈ 17.30769 Newton per Meter <-- Stiffness Constant

(Calculation completed in 00.020 seconds)

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Created by Pavan Kumar

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Stiffness of Rod under Axial Load Formula

LaTeX Go

Stiffness Constant = (Young's Modulus*Rod Cross Sectional Area)/Total Length
K = (E*A_c)/L

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.

What is axial load and radial load?

The force applied to a bearing is called the "load". The force applied perpendicularly to the shaft is called the "radial load", and that applied in the same direction as the shaft is called the "axial load".

How to Calculate Stiffness of Rod under Axial Load?

Stiffness of Rod under Axial Load calculator uses Stiffness Constant = (Young's Modulus*Rod Cross Sectional Area)/Total Length to calculate the Stiffness Constant, Stiffness of Rod under Axial Load formula is defined as a measure of the rigidity of a rod when it is subjected to an axial load, providing a way to quantify the rod's ability to resist deformation under compressive or tensile forces. Stiffness Constant is denoted by K symbol.

How to calculate Stiffness of Rod under Axial Load using this online calculator? To use this online calculator for Stiffness of Rod under Axial Load, enter Young's Modulus (E), Rod Cross Sectional Area (A_c) & Total Length (L) and hit the calculate button. Here is how the Stiffness of Rod under Axial Load calculation can be explained with given input values -> 17.30769 = (15*1.5)/1.3.

FAQ

What is Stiffness of Rod under Axial Load?

Stiffness of Rod under Axial Load formula is defined as a measure of the rigidity of a rod when it is subjected to an axial load, providing a way to quantify the rod's ability to resist deformation under compressive or tensile forces and is represented as K = (E*A_c)/L or Stiffness Constant = (Young's Modulus*Rod Cross Sectional Area)/Total Length. Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Rod Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point & Total Length is the measurement or extent of something from end to end.

How to calculate Stiffness of Rod under Axial Load?

Stiffness of Rod under Axial Load formula is defined as a measure of the rigidity of a rod when it is subjected to an axial load, providing a way to quantify the rod's ability to resist deformation under compressive or tensile forces is calculated using Stiffness Constant = (Young's Modulus*Rod Cross Sectional Area)/Total Length. To calculate Stiffness of Rod under Axial Load, you need Young's Modulus (E), Rod Cross Sectional Area (A_c) & Total Length (L). With our tool, you need to enter the respective value for Young's Modulus, Rod Cross Sectional Area & 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, Rod Cross Sectional Area & Total Length. We can use 2 other way(s) to calculate the same, which is/are as follows -

Stiffness Constant = (pi*Young's Modulus*End Diameter 1*End Diameter 2)/(4*Total Length)
Stiffness Constant = (192*Young's Modulus*Moment of Inertia)/Total Length^3

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