Strain Energy Stored in Tension Rod Calculator

✖The Axial Force on Beam is the internal force acting along the length of a beam, influencing its stability and structural integrity under various loads.ⓘ Axial Force on Beam [P]			+10% -10%
✖The Length of Rod or Shaft is the measurement of the distance from one end of the rod or shaft to the other, crucial for structural analysis.ⓘ Length of Rod or Shaft [L]			+10% -10%
✖The Cross Sectional Area of Rod is the area of the cut surface of a rod, which influences its strength and stiffness in structural applications.ⓘ Cross Sectional Area of Rod [A]			+10% -10%
✖The Modulus of Elasticity is a measure of a material's stiffness, indicating how much it deforms under stress in relation to its original dimensions.ⓘ Modulus of Elasticity [E]			+10% -10%

✖The Strain Energy is the energy stored in a material due to deformation, which can be released when the material returns to its original shape.ⓘ Strain Energy Stored in Tension Rod [U]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Castigliano's Theorem for Deflection in Complex Structures Formulas PDF PDF Image

Strain Energy Stored in Tension Rod Solution

STEP 0: Pre-Calculation Summary

Formula Used

Strain Energy = (Axial Force on Beam^2*Length of Rod or Shaft)/(2*Cross Sectional Area of Rod*Modulus of Elasticity)
U = (P^2*L)/(2*A*E)
This formula uses 5 Variables

Variables Used

Strain Energy - (Measured in Joule) - The Strain Energy is the energy stored in a material due to deformation, which can be released when the material returns to its original shape.
Axial Force on Beam - (Measured in Newton) - The Axial Force on Beam is the internal force acting along the length of a beam, influencing its stability and structural integrity under various loads.
Length of Rod or Shaft - (Measured in Meter) - The Length of Rod or Shaft is the measurement of the distance from one end of the rod or shaft to the other, crucial for structural analysis.
Cross Sectional Area of Rod - (Measured in Square Meter) - The Cross Sectional Area of Rod is the area of the cut surface of a rod, which influences its strength and stiffness in structural applications.
Modulus of Elasticity - (Measured in Pascal) - The Modulus of Elasticity is a measure of a material's stiffness, indicating how much it deforms under stress in relation to its original dimensions.

STEP 1: Convert Input(s) to Base Unit

Axial Force on Beam: 55000 Newton --> 55000 Newton No Conversion Required
Length of Rod or Shaft: 1432.449 Millimeter --> 1.432449 Meter (Check conversion here)
Cross Sectional Area of Rod: 552.6987 Square Millimeter --> 0.0005526987 Square Meter (Check conversion here)
Modulus of Elasticity: 105548.9 Newton per Square Millimeter --> 105548900000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U = (P^2*L)/(2*A*E) --> (55000^2*1.432449)/(2*0.0005526987*105548900000)

Evaluating ... ...

U = 37.1391874026152

STEP 3: Convert Result to Output's Unit

37.1391874026152 Joule --> No Conversion Required

FINAL ANSWER

37.1391874026152 ≈ 37.13919 Joule <-- Strain Energy

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Machine Design » Castigliano's Theorem for Deflection in Complex Structures » Strain Energy Stored in Tension Rod

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has verified this Calculator and 1900+ more calculators!

< Castigliano's Theorem for Deflection in Complex Structures Calculators

Force Applied on Rod given Strain Energy Stored in Tension Rod

LaTeX Go Axial Force on Beam = sqrt(Strain Energy*2*Cross Sectional Area of Rod*Modulus of Elasticity/Length of Rod or Shaft)

Strain Energy Stored in Tension Rod

LaTeX Go Strain Energy = (Axial Force on Beam^2*Length of Rod or Shaft)/(2*Cross Sectional Area of Rod*Modulus of Elasticity)

Modulus of Elasticity of Rod given Strain Energy Stored

LaTeX Go Modulus of Elasticity = Axial Force on Beam^2*Length of Rod or Shaft/(2*Cross Sectional Area of Rod*Strain Energy)

Length of Rod given Strain Energy Stored

LaTeX Go Length of Rod or Shaft = Strain Energy*2*Cross Sectional Area of Rod*Modulus of Elasticity/Axial Force on Beam^2

Strain Energy Stored in Tension Rod Formula

LaTeX Go

Strain Energy = (Axial Force on Beam^2*Length of Rod or Shaft)/(2*Cross Sectional Area of Rod*Modulus of Elasticity)
U = (P^2*L)/(2*A*E)

Define Strain Energy?

Strain energy is a type of potential energy that is stored in a structural member as a result of elastic deformation. The external work done on such a member when it is deformed from its unstressed state is transformed into (and considered equal to the strain energy stored in it.

How to Calculate Strain Energy Stored in Tension Rod?

Strain Energy Stored in Tension Rod calculator uses Strain Energy = (Axial Force on Beam^2*Length of Rod or Shaft)/(2*Cross Sectional Area of Rod*Modulus of Elasticity) to calculate the Strain Energy, Strain Energy Stored in Tension Rod formula is defined as a measure of the energy accumulated in a tension rod when it is subjected to an axial load. This energy is essential for understanding the material's behavior under stress and its capacity to withstand deformation. Strain Energy is denoted by U symbol.

How to calculate Strain Energy Stored in Tension Rod using this online calculator? To use this online calculator for Strain Energy Stored in Tension Rod, enter Axial Force on Beam (P), Length of Rod or Shaft (L), Cross Sectional Area of Rod (A) & Modulus of Elasticity (E) and hit the calculate button. Here is how the Strain Energy Stored in Tension Rod calculation can be explained with given input values -> 37.13919 = (55000^2*1.432449)/(2*0.0005526987*105548900000).

FAQ

What is Strain Energy Stored in Tension Rod?

Strain Energy Stored in Tension Rod formula is defined as a measure of the energy accumulated in a tension rod when it is subjected to an axial load. This energy is essential for understanding the material's behavior under stress and its capacity to withstand deformation and is represented as U = (P^2*L)/(2*A*E) or Strain Energy = (Axial Force on Beam^2*Length of Rod or Shaft)/(2*Cross Sectional Area of Rod*Modulus of Elasticity). The Axial Force on Beam is the internal force acting along the length of a beam, influencing its stability and structural integrity under various loads, The Length of Rod or Shaft is the measurement of the distance from one end of the rod or shaft to the other, crucial for structural analysis, The Cross Sectional Area of Rod is the area of the cut surface of a rod, which influences its strength and stiffness in structural applications & The Modulus of Elasticity is a measure of a material's stiffness, indicating how much it deforms under stress in relation to its original dimensions.

How to calculate Strain Energy Stored in Tension Rod?

Strain Energy Stored in Tension Rod formula is defined as a measure of the energy accumulated in a tension rod when it is subjected to an axial load. This energy is essential for understanding the material's behavior under stress and its capacity to withstand deformation is calculated using Strain Energy = (Axial Force on Beam^2*Length of Rod or Shaft)/(2*Cross Sectional Area of Rod*Modulus of Elasticity). To calculate Strain Energy Stored in Tension Rod, you need Axial Force on Beam (P), Length of Rod or Shaft (L), Cross Sectional Area of Rod (A) & Modulus of Elasticity (E). With our tool, you need to enter the respective value for Axial Force on Beam, Length of Rod or Shaft, Cross Sectional Area of Rod & Modulus of Elasticity 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 Strain Energy?

In this formula, Strain Energy uses Axial Force on Beam, Length of Rod or Shaft, Cross Sectional Area of Rod & Modulus of Elasticity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Strain Energy = Torque^2*Length of Rod or Shaft/(2*Polar Moment of Inertia*Modulus of Rigidity)
Strain Energy = Bending Moment^2*Length of Rod or Shaft/(2*Modulus of Elasticity*Area Moment of Inertia)

Home

FREE PDFs

🔍 Search