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Catenary Cable Tension Formula:
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The catenary cable tension formula calculates the horizontal tension in a suspended cable or chain. It's based on the parabolic approximation of the catenary curve and is widely used in engineering for overhead power lines, suspension bridges, and cable systems.
The calculator uses the catenary tension formula:
Where:
Explanation: This formula provides the horizontal component of tension in a cable suspended between two points, assuming a uniform weight distribution and small sag-to-span ratio.
Details: Accurate tension calculation is crucial for structural design, ensuring cable integrity, determining support loads, and maintaining proper clearances in overhead systems.
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.
Q1: What is the difference between horizontal and total tension?
A: Horizontal tension is the constant component along the cable. Total tension varies along the cable and is maximum at the supports.
Q2: When is the parabolic approximation valid?
A: The formula is accurate when the sag-to-span ratio is small (typically d/S < 1/8) and the cable weight is uniformly distributed.
Q3: How does temperature affect cable tension?
A: Temperature changes cause thermal expansion/contraction, altering cable length and thus affecting both sag and tension.
Q4: What are typical applications of this calculation?
A: Overhead power transmission lines, suspension bridge cables, aerial tramways, and any suspended cable system design.
Q5: How accurate is this formula for real-world applications?
A: For engineering purposes with proper safety factors, it provides sufficiently accurate results for initial design calculations.