huangyhg

modelling thermal expansion
i've modelled a stainless 12 ga ss304 duct for a kiln where the temperature goes between ambient room and 120 degrees c. currently, the duct is proposed to be built with fixed ends. in my risa model, i end up with 44 kips/ft force along the perimeter of the ends of the duct. the numbers correspond with my hand calculations.
the thing is, this intuitively doesn't seem right. for this 8' by 8' duct we're talking about 1400 kips of force acting at the ends. i've noticed that the risa model shows no deflection in the steel. wouldn't the plate deflect/buckle under the loads?
any help would be greatly appreciated.
mike
risa 3d only makes elastic analyses. hence anything above the proportional limit is not going to be well analyzed nor represented. this is not to say the tool can't be used to other purposes but it must be within the understandign of what at hand.
now the question is, if the material was elastic and of your properties the duct would sustain such big forces. big forces appear quite typically with full restraint. now you need to see what happens... is the pipe yielding? does overall bend buckling develop?
in any case the solution to these full restraint problems are expansion joints, many times c or s shapes formed in the duct, or other proper devices that allow almost unrestrained expansion.
forces due to restrained thermal expansion/contraction are usually very large - 44kips/ft and 1400kips is a not insignificant 642kn/m and 6230kn in my language!
it's impractical and uneconomic to restrain such forces. consequently expansion joints are a ubiquitous feature in all the ducting i've ever seen.
what is your client's reason for requiring that the ducting be fixed at each end?
thank you both for your reply!
i agree about the expansion joint. it was my intuition from the start. but it's one of those "we've always done it that way" things.
i'm still curious as to whether or not steel would buckle. i'm exceeding the yield stress in the model, but not getting any deflection. is this due to the elastic analysis ishvaaag is referring to, or is this realistice to expect in real life?
cheers,
mike
it is a device of the way and tool of analysis you are using. even by the mere fact of the section being overall yielded you know that the pipe is failed.
you can use even a elastic analysis program such risa to ascertain some of the effects of anelasticity, bout to this you need to model geometrical anelasticity and material anelasticity. the first you more easily introduce in your model by assuming initial imperfections, both maybe for the overall
thanks ishavaaag,
i've re-run the model with a 0.05 ft offset for the middle of my
just in order to complete what said, the "notional" modulus of young to use to model material anelasticity when the concurrent axial stress becomes the yield strength is 0.
hence you wouldn't see a lateral deflection of over 1", but to the purpose of calculation infinite... or just very big, as you were suspecting when placing your initial question.

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