Calculate Tension Horizontal Cable

Horizontal Tension Formula:

\[ H = \frac{w \times S^2}{8 \times d} \]

Horizontal Tension (H):

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1. What is Horizontal Tension in Cable?

Horizontal tension (H) in a cable is the tension component acting horizontally when the cable is suspended between two points. It is a crucial parameter in cable structure design and analysis, particularly for overhead lines, suspension bridges, and similar applications.

2. How Does the Calculator Work?

The calculator uses the horizontal tension formula:

\[ H = \frac{w \times S^2}{8 \times d} \]

Where:

\( H \) — Horizontal tension (Newtons)
\( w \) — Weight per unit length (N/m)
\( S \) — Span between supports (m)
\( d \) — Sag of the cable (m)

Explanation: This formula calculates the horizontal component of tension in a cable suspended between two points, assuming a parabolic shape and uniform load distribution.

3. Importance of Horizontal Tension Calculation

Details: Accurate calculation of horizontal tension is essential for structural engineering applications, ensuring cable systems are properly designed for safety, stability, and performance under various loading conditions.

4. Using the Calculator

Tips: Enter weight per unit length in N/m, span in meters, and sag in meters. All values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What assumptions does this formula make?
A: The formula assumes a parabolic cable shape, uniform load distribution, and that the cable is perfectly flexible and inextensible.

Q2: How does sag affect horizontal tension?
A: Horizontal tension decreases as sag increases. Larger sag results in lower horizontal tension for the same span and load.

Q3: What are typical applications of this calculation?
A: This calculation is used in overhead power lines, suspension bridges, cable-supported structures, and aerial cable systems.

Q4: Are there limitations to this formula?
A: The formula is less accurate for cables with significant elasticity, non-uniform loading, or when the sag-to-span ratio is large.

Q5: How does temperature affect horizontal tension?
A: Temperature changes cause thermal expansion/contraction, which affects sag and consequently changes the horizontal tension in the cable.