Applying the ASME Codes: Plant Piping & Pressure Vessels (Mister Mech Mentor, Vol. 2)
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The next little group of equations is a time-saver I collected some years ago.
My original purpose pertained to computerized pipe stress analysis, and was to facilitate a quick but relatively accurate estimate of an elastic spring constant to input for each of a few common configurations of steel shapes used as pipe supports.
The computed stress and nodal deflection results thus obtained were, and still are, more realistic than those made by assuming infinite rigidity of all hard support types such as pipe shoes, slide guides, clevis hanger rods, posts, base-plates, pipe rolls, etc.