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Cable Span Tension Formula:
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The cable span tension formula calculates the horizontal tension in a suspended cable or wire based on its weight per unit length, span length, and sag. This is essential for engineering applications involving overhead lines, cables, and suspension systems.
The calculator uses the cable tension formula:
Where:
Explanation: The formula calculates the horizontal tension in a catenary cable based on the parabolic approximation, which is accurate for cables with small sag-to-span ratios.
Details: Accurate tension calculation is crucial for structural engineering, electrical line design, and safety assessments. Proper tension ensures cable stability, prevents excessive sag, and maintains structural integrity.
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 the practical application of this formula?
A: This formula is used in designing overhead power lines, suspension bridges, cable-supported structures, and telecommunications lines.
Q2: How accurate is the parabolic approximation?
A: The parabolic approximation is accurate when the sag is less than about 10% of the span length. For larger sags, the full catenary equation should be used.
Q3: What factors affect cable tension?
A: Cable tension is affected by temperature changes, wind loading, ice accumulation, and the material properties of the cable.
Q4: How does tension relate to cable safety?
A: Excessive tension can lead to cable failure, while insufficient tension can cause excessive sag and potential clearance issues.
Q5: Can this formula be used for inclined spans?
A: This formula is for level spans. For inclined spans, additional calculations are needed to account for the elevation difference between supports.