Torsional stiffness
Torsional stiffness
(OP)
Hello,
The chapter on torsion in my Advanced Mechanics of Materials textbook from university says that, for a solid section with a given cross-sectional area A, stiffness is greatest when the centroidal polar moment of inertia K is least. What confuses me is that twist (= TL / GK) is inversely proportional to K. Wouldn't lower K mean more twist and, therefore, less stiffness?
The chapter on torsion in my Advanced Mechanics of Materials textbook from university says that, for a solid section with a given cross-sectional area A, stiffness is greatest when the centroidal polar moment of inertia K is least. What confuses me is that twist (= TL / GK) is inversely proportional to K. Wouldn't lower K mean more twist and, therefore, less stiffness?






RE: Torsional stiffness
Torsional stress, τ = Tc / K
Torsional twist, θ = TL/GK
RE: Torsional stiffness
RE: Torsional stiffness
For a rectangular cross section, the maximum torsional stress occurs at the middle of the long side and is equal to Mt/J .
BA
RE: Torsional stiffness