Maximum Sag Given Tension At Midspan For UDL On Parabolic Cable Calculator

Formula Used:

\[ d = \frac{q \times L_{span}^2}{8 \times T_{mid}} \]

Maximum Sag (d):

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1. What is Maximum Sag Given Tension At Midspan For UDL On Parabolic Cable?

The Maximum Sag Given Tension At Midspan For UDL On Parabolic Cable calculation determines the maximum vertical displacement (sag) of a cable under a uniformly distributed load, based on the tension at the midpoint of the cable span. This is essential in cable structure design and analysis.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ d = \frac{q \times L_{span}^2}{8 \times T_{mid}} \]

Where:

\( d \) — Maximum Sag (m)
\( q \) — Uniformly Distributed Load (N/m)
\( L_{span} \) — Cable Span (m)
\( T_{mid} \) — Tension at Midspan (N)

Explanation: The formula calculates the maximum sag in a parabolic cable under uniform load by relating the load, span length, and midspan tension.

3. Importance of Maximum Sag Calculation

Details: Accurate sag calculation is crucial for structural engineering, cable system design, and ensuring proper clearance and tension in cable-supported structures like bridges and transmission lines.

4. Using the Calculator

Tips: Enter the uniformly distributed load in N/m, cable span in meters, and tension at midspan in Newtons. All values must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What is a parabolic cable?
A: A parabolic cable is one that takes the shape of a parabola under a uniformly distributed load, commonly used in suspension bridges and cable systems.

Q2: Why is tension at midspan important?
A: Tension at midspan is a key parameter that affects the cable's sag and overall structural behavior under load.

Q3: What units should be used for inputs?
A: Use consistent units: load in N/m, span in meters, and tension in Newtons for accurate results in meters for sag.

Q4: Are there limitations to this formula?
A: This formula assumes a perfectly parabolic cable shape and uniform load distribution. It may not be accurate for non-uniform loads or non-parabolic cables.

Q5: How does sag affect cable design?
A: Sag affects clearance, tension distribution, and structural stability. Excessive sag can lead to insufficient clearance or increased tension at supports.