Force Applied On Rod Given Strain Energy Stored In Tension Rod Calculator

Formula Used:

\[ P = \sqrt{\frac{U \times 2 \times A \times E}{L}} \]

Strain Energy in Rod or Shaft (U):

Joule

Cross Sectional Area of Rod (A):

m²

Modulus of Elasticity of Rod or Shaft (E):

Pascal

Length of Rod or Shaft (L):

Meter

Axial Force on Beam (P):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Axial Force Calculation Formula?

The formula calculates the axial force on a beam, rod, or shaft based on the strain energy stored in the material, cross-sectional area, modulus of elasticity, and length of the component. It provides an accurate assessment of the force applied to a tension rod.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P = \sqrt{\frac{U \times 2 \times A \times E}{L}} \]

Where:

\( P \) — Axial Force on Beam (Newton)
\( U \) — Strain Energy in Rod or Shaft (Joule)
\( A \) — Cross Sectional Area of Rod (m²)
\( E \) — Modulus of Elasticity of Rod or Shaft (Pascal)
\( L \) — Length of Rod or Shaft (Meter)

Explanation: The formula calculates the axial force by considering the relationship between strain energy, material properties, and geometric dimensions of the rod or shaft.

3. Importance of Axial Force Calculation

Details: Accurate axial force calculation is crucial for structural analysis, material strength assessment, and ensuring the safety and integrity of mechanical components under tension or compression loads.

4. Using the Calculator

Tips: Enter strain energy in joules, cross-sectional area in square meters, modulus of elasticity in pascals, and length in meters. All values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is axial force?
A: Axial force is a force that acts along the longitudinal axis of a structural member, causing either tension (stretching) or compression (shortening) of the material.

Q2: What is strain energy?
A: Strain energy is the energy stored in a material when it is deformed elastically under load. It represents the work done on the material to cause the deformation.

Q3: What is modulus of elasticity?
A: Modulus of elasticity (Young's modulus) is a measure of a material's stiffness, defined as the ratio of stress to strain in the elastic deformation region.

Q4: When is this formula applicable?
A: This formula is applicable for calculating axial force in rods or shafts under tension where the strain energy is known, and the material behaves elastically.

Q5: What are the limitations of this calculation?
A: The calculation assumes linear elastic material behavior, uniform cross-section, and homogeneous material properties throughout the rod or shaft.