Hoop Tension Formula:
Definition: Hoop tension is the circumferential stress that develops in the walls of a circular water tank due to the internal water pressure.
Purpose: Calculating hoop tension helps engineers design reinforced concrete (RCC) water tanks with adequate steel reinforcement to resist these tensile forces.
The calculator uses the formula:
Where:
Explanation: The formula calculates the tensile force per unit height of the tank wall at any depth.
Details: Accurate hoop tension calculation ensures the tank walls have sufficient reinforcement to prevent cracking and failure under water pressure.
Tips: Enter water density (default 10000 N/m³), water depth, and tank diameter. All values must be > 0. Results include ±5% margin.
Q1: Why is hoop tension important in tank design?
A: Concrete is weak in tension, so we need to calculate hoop tension to determine the required steel reinforcement.
Q2: Does this calculation consider safety factors?
A: No, this is the theoretical hoop tension. Design codes typically require applying safety factors to this value.
Q3: How does water depth affect hoop tension?
A: Hoop tension increases linearly with water depth - maximum at the base, zero at the water surface.
Q4: What's the typical density value for water?
A: 10000 N/m³ (or 10 kN/m³) is standard, but may vary slightly with temperature and impurities.
Q5: How do I use this result for reinforcement design?
A: Divide hoop tension by allowable steel stress to get required steel area per unit height of tank.