Abstract
The round steel beam is widely used in metallurgy, mechanical engineering, construction and is one of the major players in the engine industry. Having the excellent anti-corrosion properties, combined with a remarkable strength, the round steel beam is often indispensable in the production of the various mechanical machines and devices. The cylindrical springs for the railway and motor transport are made from the round beam with the help of the special bending machines. Billets from the round beam are also used in the metallurgy at the manufacture of seamless pipes for the oil and gas industry. The rollers of the sheet-straightening machines and rolling mills in metallurgy have the form of stepped round beam. The steel construction armature is made from the round beam and is close to it by geometric dimensions. The main foreign producers of continuous-casting-billets machines for production of round-cross-section blanks are SMS-Demag (Germany), Danieli (Italy), SMS Concast (Switzerland) and Siemens VAI (Austria). The modern production of round steel beam has place on many Russian metallurgical plants, for example, on JSC “Chusovskoy metallurgical plant”, PJSC “Chelyabinsk metallurgical plant”, JSC “Volzhsky pipe plant”, OJSC “Nizhneserginsky metizno-metallurgical plant”, JSC “Chepetsky mechanical plant”, PJSC “Seversky pipe plant” and PJSC “Taganrog metallurgical plant”. In manufacture of articles from round beam and under their exploitation, they often have an elastic or elastoplastic deformation of bending or have a complex deformation of torsion with bending. The analytical method for determining residual curvature of round steel beam under elastoplastic bend is proposed in this paper. The calculations allow us to determine residual curvature of round beam after bending and the bending moments of beam’s cross section at bending depending on the beam’ radius, elastic modulus, yield stress and hardening modulus of beam’s metal. The research results can be widely used at engineering and metallurgical plants.
Highlights
The round steel beam is widely used in metallurgy, mechanical engineering, construction and is one of the major players in the engine industry
Having the excellent anti-corrosion properties, combined with a remarkable strength, the round steel beam is often indispensable in the production of the various mechanical machines and devices
The cylindrical springs for the railway and motor transport are made from the round beam with the help of the special bending machines
Summary
Bending of round steel beam on rollers σ = Eε, а в области упрочнения зависимость нормального напряжения σ от относительного удлинения ε имеет прямолинейный вид [15 – 19]: Обозначим безразмерный изгибающий момент для круглого бруса символом. Эпюра нормальных напряжений в поперечном сечении круглого бруса радиуса R при упругопластическом изгибе показана на рис. При чисто упругом изгибе изгибающий момент M в поперечном сечении круглого бруса равен где ρ – радиус кривизны оси бруса. 3. Эпюра нормальных напряжений в поперечном сечении круглого бруса при изгибе. При упругопластическом изгибе изгибающий момент M в поперечном сечении круглого бруса равен. Зависимость безразмерного изгибающего момента от критерия при 0,044 показана на рис. Пользуясь теоремой о разгрузке Генки, получаем уравнение для определения остаточного радиуса кривизны круглого бруса ρres : Коэффициент пружинения при изгибе круглого бруса составляет.
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