Sag Of Cable At Midway Between Supports Given Horizontal Component Of Cable Tension For UDL Calculator

Formula Used:

\[ f = \frac{q \times L_{span}^2}{8 \times T_{cable\ udl}} \]

Sag of Cable at Midway between Supports (f):

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1. What is Sag of Cable at Midway between Supports?

Sag of Cable at Midway between Supports is the vertical sag at the midpoint of a cable when subjected to a uniformly distributed load. It represents the maximum deflection of the cable from its horizontal position.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ f = \frac{q \times L_{span}^2}{8 \times T_{cable\ udl}} \]

Where:

\( f \) — Sag of Cable at Midway between Supports (m)
\( q \) — Uniformly Distributed Load (N/m)
\( L_{span} \) — Cable Span (m)
\( T_{cable\ udl} \) — Cable Tension for UDL (N)

Explanation: The formula calculates the maximum vertical deflection of a cable under uniform loading, which is proportional to the square of the span length and inversely proportional to the cable tension.

3. Importance of Cable Sag Calculation

Details: Accurate sag calculation is crucial for designing overhead power lines, suspension bridges, and cable-supported structures to ensure proper clearance, structural integrity, and safety.

4. Using the Calculator

Tips: Enter uniformly distributed load in N/m, cable span in meters, and cable tension in Newtons. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What factors affect cable sag?
A: Cable sag is affected by the span length, cable tension, weight of the cable, and any additional loads on the cable.

Q2: Why is cable sag important in power transmission lines?
A: Proper sag ensures adequate ground clearance, prevents excessive tension that could damage towers, and accommodates temperature variations.

Q3: How does temperature affect cable sag?
A: Higher temperatures cause cables to expand and sag more, while lower temperatures cause contraction and reduced sag.

Q4: What is the relationship between tension and sag?
A: Sag is inversely proportional to tension - higher tension results in less sag, and lower tension results in more sag.

Q5: Are there limitations to this formula?
A: This formula assumes a perfectly flexible cable, uniform loading, and small sag-to-span ratios. It may not be accurate for very large sags or non-uniform loading conditions.