Torsion in Circular Shafts
$T=Torque$
$L= Length\ of\ shaft$
$\rho=distance\ from\ the\ center\ to\ the\ point\ of\ interest$
$J=polar\ moment\ of\ inertia\ (I_x+I_y)$
$G=shear\ modulus\ or\ modulus\ of\ rigidity$
$γ=shear\ strain$
$L= Length\ of\ shaft$
$\rho=distance\ from\ the\ center\ to\ the\ point\ of\ interest$
$J=polar\ moment\ of\ inertia\ (I_x+I_y)$
$G=shear\ modulus\ or\ modulus\ of\ rigidity$
$γ=shear\ strain$