Document Type
Thesis
Date of Award
5-31-1986
Degree Name
Master of Science in Mechanical Engineering - (M.S.)
Department
Mechanical Engineering
First Advisor
Benedict C. Sun
Second Advisor
Bernard Koplik
Third Advisor
Rong-Yaw Chen
Abstract
Numerical values and analytical expressions for spring constant in the radial direction, and rotational spring constants in the circumferential and longitudinal directions of piping with square structural tubing attachment are presented.
Following Bijlaard's approach, the double Fourier series solution for the thin shell equation are used to express these spring constants as a function of internal pressure, q, and pipe-structural tubing parameters, such as alpha (piping length/radius), beta (tube size/pipe dia.), gamma (pipe radius/thickness) and thickness of the structural tubing. Numerical results of these spring constants are presented in tabulated form. These Tables include a set of eight standard square tubings from 2"x2" to 10"x10" with various thickness as specified by the American Institute of Steel Construction Manual, and the piping nominal size from 2-1/2" to 24". The piping internal pressures of 0, 100, 500, and 1,000 psi divide the tables into four separate groups to facilitate the tabulation. Again, when the internal pressure is assigned as zero the spring coefficients of KR/c, Kc/a33 and KL/a3 are plotted. These plots are divided into four separate groups by ratio of R (tube thickness/half of tube size) with value of 0.125, 0.1, 0.0625 and 0.01875 respectively. In each plots the beta ranges from 0.05 to 0.55 and gamma ranges from 10 to 50. These are in pratical power piping design ranges. For all the plots and tabulations, the piping length is assigned as four times of piping radius. i.e., alpha is 4.0. A numerical example is also given.
Recommended Citation
Sun, Hson-Chih, "On radial and rotational spring constants of piping with square tubing attachment" (1986). Theses. 3388.
https://digitalcommons.njit.edu/theses/3388
