Concrete guideways for proposed MAGLEV vehicles may be reinforced with
electrically conducting and magnetizable steel rebars, Transient magn
etic fields due to passing MAGLEV vehicles will then induce transient
currents in the rebars leading to power dissipation and temperature ri
se as well as Lorentz and magnetization forces on the rebars, In order
to evaluate if this heating and force on the rebars affects concrete
life and performance, analysis is presented for an infinitely long con
ducting and magnetizable cylinder in imposed uniform axial or transver
se magnetic fields, Exact and approximate solutions are presented for
sinusoidal steady state and step transient magnetic fields inside and
outside the cylinder, the induced current density, the vector potentia
l for transverse magnetic fields, the time average dissipated power in
the sinusoidal steady state, and the total energy dissipated for step
transients, Forces are approximately calculated for imposed magnetic
fields with a weak spatial gradient, The analysis is applied to repres
entative rebar materials.