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Catenary Cable Tension Equation:
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The catenary cable tension equation calculates the horizontal tension in a suspended cable or chain under its own weight. This fundamental engineering formula is essential for designing overhead power lines, suspension bridges, and cable systems.
The calculator uses the catenary cable tension equation:
Where:
Explanation: The equation calculates the horizontal component of tension in a cable suspended between two points, considering the cable's weight, span length, and sag.
Details: Accurate tension calculation is crucial for structural integrity, safety assessment, and proper design of cable-supported structures to prevent failure under various loading conditions.
Tips: Enter weight per unit length in N/m, span length in meters, and sag in meters. All values must be positive numbers greater than zero.
Q1: What is a catenary curve?
A: A catenary is the natural curve that a flexible chain or cable forms under its own weight when supported only at its ends.
Q2: Does this equation account for additional loads?
A: This basic equation calculates tension due to the cable's self-weight only. Additional loads (ice, wind, etc.) require more complex calculations.
Q3: 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.
Q4: When is this approximation valid?
A: This formula provides a good approximation for cables with relatively small sag-to-span ratios (typically less than 1:8).
Q5: How does temperature affect cable tension?
A: Temperature changes cause thermal expansion/contraction, altering cable length and thus affecting both sag and tension in the system.