One of the critical design factors affecting overall atmosphere furnace operating costs and life is the cross-sectional shape of internal components, such as a muffle. The design of this cross-sectional shape has a profound effect on the structural strength, life and cost of a furnace component.
As temperatures rise, all materials lose structural strength. For example, an RA-330 alloy will lose about 90 percent of its creep strength as temperatures rise from 1,000 F to 1,600 F. To maximize structural strength at any given temperature, furnace component designers have three choices: increase material thickness, use a higher strength material or increase cross-sectional area using fabrication techniques. The first two alternatives result in significantly higher material costs; changing the cross-sectional shape does not.
The area moment of inertia is a characteristic of a cross-sectional area that relates to the ability of that shape to resist bending. For instance, doubling the thickness of a flat plate increases relative moment of inertial by a factor of eight; a rounded, sine-wave-shaped cross section increases relative moment of inertia by a factor of 23; while relative moment of inertial of a corrugated shape with flat, sloping sides and a flat top increases to 79 (as compared with the original thin, flat plate).
Using these values of relative moment of inertia in the equation for determining bending strength yields a load factor, or ability to resist bending, for each configuration. With a load factor of one for the thin, flat plate, doubling its thickness increases its load factor to four. Although this is a significant gain, it means twice the material costs. The sine-wave-like cross-sectional shape has a load factor of six; whereas the flat corrugated shape has a load factor of 12.
Although this last shape requires a higher labor cost and slightly more material to develop the corrugations and still maintain the specified overall component length, this design significantly increases strength while only slightly increasing overall costs.
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