The warping caused by the differential contraction (
Δl) between sheet steel and enamel layer was studied. Warping is a phenomenon of bending, so it should be considered that the internal moment of force must exist. The internal stresses, originating from
Δl, act as a moment (
M1), and on the other hand a moment of resistance (
M2) of enameled sheet for warping must occured. From this view point, we could find a fundamental equation of warping under the condition of equilibrium
M1=
M2, as shown by equation (6) and (9).
In the equations, the warping is a function of factors that are differential contraction (
Δl), modulus of elasticity of sheet steel (
Es) and enamel layer (
Ee), thickness of sheet steel (
s) and enamel layers (
E or
u and
f), and moment of inertia of enameled sheet. But, by the decision of mechanical section, we can easily calculate the moment of inertia.
From the equation, the relation between warping and structural dimensions (
S and
E or
S,
u and
f) at room temperature with the assumption of
Δl=0.001 were calculated minutely within the range of common application shown in the diagrams (Fig. 7-Fig. 10).
As the warping is approximately proportional to the
Δl, here the results are useful to observe the variations of warping relating with structures and to obtain the value of
Δl at room temperature approximately from the data of measurement of warping and sectional dimensions without complicated calculations.
Obtaining the variation of warping with the change of temperature by experiment, we can calculate the
Δl in the cooling period after firing of enameled sheet, and able to make clear the contractive conditions in cooling, but it is necessary to know the variations of
Es and
Ee by the change of temperature previousely. Therefore the warping was measured with the change of temperature on several kinds of enamels, and the results are shown in the diagrams (Fig. 13-Fig. 17).
With the decision of neutral line of mechanical section we are able to examine the distribution of internal stresses in warping or bending. These examples are shown in the diagrams (Fig. 18-Fig. 21). If we consider the stress and strength of enamel layer, we can find the safety condition of enameled sheet, in case of mechanical dealing is required.
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