Force Applied on Rod given Strain Energy Stored in Tension Rod Calculator

✖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 [U]			+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 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 Axial Force on Beam is the internal force acting along the length of a beam, influencing its stability and structural integrity under various loads.ⓘ Force Applied on Rod given Strain Energy Stored in Tension Rod [P]

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Force Applied on Rod given Strain Energy Stored in Tension Rod Solution

STEP 0: Pre-Calculation Summary

Formula Used

Axial Force on Beam = sqrt(Strain Energy*2*Cross Sectional Area of Rod*Modulus of Elasticity/Length of Rod or Shaft)
P = sqrt(U*2*A*E/L)
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Strain Energy: 37.13919 Joule --> 37.13919 Joule No Conversion Required
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)
Length of Rod or Shaft: 1432.449 Millimeter --> 1.432449 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = sqrt(U*2*A*E/L) --> sqrt(37.13919*2*0.0005526987*105548900000/1.432449)

Evaluating ... ...

P = 55000.0019232537

STEP 3: Convert Result to Output's Unit

55000.0019232537 Newton --> No Conversion Required

FINAL ANSWER

55000.0019232537 ≈ 55000 Newton <-- Axial Force on Beam

(Calculation completed in 00.005 seconds)

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< Castigliano's Theorem for Deflection in Complex Structures Calculators

Force Applied on Rod given Strain Energy Stored in Tension Rod

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

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

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

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

Force Applied on Rod given Strain Energy Stored in Tension Rod Formula

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

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 Force Applied on Rod given Strain Energy Stored in Tension Rod?

Force Applied on Rod given Strain Energy Stored in Tension Rod calculator uses Axial Force on Beam = sqrt(Strain Energy*2*Cross Sectional Area of Rod*Modulus of Elasticity/Length of Rod or Shaft) to calculate the Axial Force on Beam, Force Applied on Rod given Strain Energy Stored in Tension Rod formula is defined as a method to determine the force exerted on a rod based on the strain energy it has stored. This concept is crucial in understanding material behavior under tension in mechanical design. Axial Force on Beam is denoted by P symbol.

How to calculate Force Applied on Rod given Strain Energy Stored in Tension Rod using this online calculator? To use this online calculator for Force Applied on Rod given Strain Energy Stored in Tension Rod, enter Strain Energy (U), Cross Sectional Area of Rod (A), Modulus of Elasticity (E) & Length of Rod or Shaft (L) and hit the calculate button. Here is how the Force Applied on Rod given Strain Energy Stored in Tension Rod calculation can be explained with given input values -> 51066.39 = sqrt(37.13919*2*0.0005526987*105548900000/1.432449).

FAQ

What is Force Applied on Rod given Strain Energy Stored in Tension Rod?

Force Applied on Rod given Strain Energy Stored in Tension Rod formula is defined as a method to determine the force exerted on a rod based on the strain energy it has stored. This concept is crucial in understanding material behavior under tension in mechanical design and is represented as P = sqrt(U*2*A*E/L) or Axial Force on Beam = sqrt(Strain Energy*2*Cross Sectional Area of Rod*Modulus of Elasticity/Length of Rod or Shaft). 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, 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 & 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.

How to calculate Force Applied on Rod given Strain Energy Stored in Tension Rod?

Force Applied on Rod given Strain Energy Stored in Tension Rod formula is defined as a method to determine the force exerted on a rod based on the strain energy it has stored. This concept is crucial in understanding material behavior under tension in mechanical design is calculated using Axial Force on Beam = sqrt(Strain Energy*2*Cross Sectional Area of Rod*Modulus of Elasticity/Length of Rod or Shaft). To calculate Force Applied on Rod given Strain Energy Stored in Tension Rod, you need Strain Energy (U), Cross Sectional Area of Rod (A), Modulus of Elasticity (E) & Length of Rod or Shaft (L). With our tool, you need to enter the respective value for Strain Energy, Cross Sectional Area of Rod, Modulus of Elasticity & Length of Rod or Shaft 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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