Shrinkage due to Spot Heating on a Rectangular Carbon Steel Plate, Report No. 2

Abstract

In the previous report, a method of theoretical analysis for the shrinkage of a finite-sized rectangular plate due to spot heating was presented. It was shown that the calculated shrinkages in case of a square plate where heating was applied on its centre lines gave an excellent agreement with the measured ones.
In the present paper, numerical calculations were conducted for a square plate where spot heat was applied on an arbitrary point situated on neither centre lines, as well as for a rectangular plate where heating was done on a point on either one of its centre lines.
Based on the results of theoretical analyses obtained from both the previous and the present reports, approximating formulae were deduced for estimating the shrinkages of a rectangular plate due to spot heating.
Physical meaning of these formulae is simple and self-explanatory, making the formulae easy to remember and convenient to apply in practice.
It is also shown that the average shrinkage due to spot heating on a rectangular plate is inversely proportional to the breadth, or the shorter side of the plate, and that the length, or the longer side, has practically no effect on the average shrinkage.