Length of Prismatic Rod given Elongation due to Self Weight in Uniform Bar Calculator

Length Formula:

\[ L = \frac{\delta l}{\left(\frac{W_{Load}}{2 \times A \times E}\right)} \]

Elongation:

Applied Load SOM:

Area of Cross-Section:

Young's Modulus:

Length (m):

Definition: This calculator determines the length of a prismatic rod when the elongation caused by its own weight is known.

Purpose: It helps engineers and designers calculate rod dimensions based on material properties and deformation requirements.

The calculator uses the formula:

\[ L = \frac{\delta l}{\left(\frac{W_{Load}}{2 \times A \times E}\right)} \]

Where:

Explanation: The formula relates the rod's length to its deformation under self-weight, considering material stiffness and cross-section.

Details: Accurate length calculation ensures structural integrity and prevents excessive deformation in load-bearing applications.

Tips: Enter elongation, applied load, cross-sectional area, and Young's Modulus. All values must be > 0. Results include ±5% tolerance.

Q1: What is elongation in this context?
A: Elongation refers to the increase in length of the rod due to its own weight.

Q2: Why is Young's Modulus important?
A: Young's Modulus quantifies material stiffness and its resistance to deformation under load.

Q3: What does the ±5% tolerance mean?
A: It indicates the calculation accounts for a 5% variation in input parameters.

Q4: Can this be used for non-prismatic rods?
A: No, this calculator is specifically for uniform, prismatic rods.

Q5: How does cross-sectional area affect the result?
A: Larger cross-sections reduce elongation for a given length and load.