Document Type


Date of Award


Degree Name

Master of Science in Mechanical Engineering - (M.S.)


Mechanical and Industrial Engineering

First Advisor

Benedict C. Sun

Second Advisor

Bernard Koplik

Third Advisor

Rong-Yaw Chen

Fourth Advisor

John Vincent Droughton


This thesis presents a series of stress factor data which provide more detailed information for the calculation of local stresses at the nozzle region, as well as the pipe region, of a pipe-nozzle intersection, subjected to an external radial load, circumferential bending moment, and longitudinal bending moment, respectively.

The pipe and nozzle thicknesses are assumed to be identical. Numerical solutions are obtained through the use of the finite element method. In obtaining the numerical solutions via ANSYS, the quadrilateral element is used to simulate the thin shell pipe-nozzle geometries. The local stresses, at eight different points on both the pipe and the nozzle at the intersections of the pipe's symmetric planes ( longitudinal and transverse) are investigated. The resulting circumferential and longitudinal stresses, on the pipe and the nozzle, respectively, are first resolved into the bending and membrane components, and then further normalized into stress factors by the geometric parameters, beta, β, ( nozzle radius/pipe radius ), and gamma, γ, ( pipe radius/pipe thickness ).

Presented in this thesis are sixteen ( 16 ) stress factor plots for the external radial loading, P, and eight ( 8 ) plots for the external circumferential moment, Mc, and longitudinal bending moment, ML. The values of beta vary from 0.1 to 0.9 with values for gamma varying from 10 to 300. However, in the nozzle stress factor plots, when the product of beta and gamma are less than ten the results are not included since they are not in the thin shell range.



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