An Analytical Solution for Hoop Tension in Liquid Storage Cylindrical Tanks

Anand Daftardar, Shirish Vichare, Jigisha Vashi

Design codes for liquid storage cylindrical tanks give values of design forces (hoop tension, bending moment and shear force) through a dimensionless parameter H2/Dt. The values of this parameter range from 0.4 to 16. The parameter H2/Dt encompasses key dimensions of the tank and gives corresponding coefficients for hoop tension, bending moment and shear force. However, for values of H2/Dt range below 0.4 and above 16, the coefficients are not easily available. Availability of these coefficients are crucial for design engineers who deal with variety of tank dimensions. This paper calculates the values of hoop tension coefficients for H2/Dt range from 0.1 to 100 by providing analytical solution. Further, the paper also gives maximum value of hoop tension coefficients from 0.1 to 100. It is observed that for H2/Dt range from 0.4 to 0.1, the decrease in the maximum hoop tension coefficients value is about 4 % and for H2/Dt range from 16 to 100 the increase is about 22 %.