F 2 π R t ≤ σ c {\displaystyle {\frac {F}{2\pi Rt}}\leq \sigma _{c}}
F = π 2 E I L 2 {\displaystyle F={\frac {\pi ^{2}EI}{L^{2}}}}
m = 2 ⋅ π ⋅ R ⋅ t ⋅ L ⋅ ρ {\displaystyle m=2\cdot \pi \cdot R\cdot t\cdot L\cdot \rho }
F 2 π R t ≤ σ c ⇔ t ≥ F 2 π R σ c {\displaystyle {\frac {F}{2\pi Rt}}\leq \sigma _{c}\Leftrightarrow t\geq {\frac {F}{2\pi R\sigma _{c}}}}
m = F ⋅ L ⋅ ρ σ c {\displaystyle m=F\cdot L\cdot {\frac {\rho }{\sigma _{c}}}}
F = π 2 E I L 2 , I = π R 3 t , F = π 3 E R 3 t L 2 {\displaystyle F={\frac {\pi ^{2}EI}{L^{2}}},I=\pi R^{3}t,F={\frac {\pi ^{3}ER^{3}t}{L^{2}}}}
t = F L 2 π 3 E R 3 {\displaystyle t={\frac {FL^{2}}{\pi ^{3}ER^{3}}}}
m = F ⋅ 2 L 3 π 2 R 3 ⋅ ρ E {\displaystyle m=F\cdot {\frac {2L^{3}}{\pi ^{2}R^{3}}}\cdot {\frac {\rho }{E}}}
M 1 ( σ c ρ ) {\displaystyle M_{1}\left({\frac {\sigma _{c}}{\rho }}\right)}
M 2 ( E ρ ) {\displaystyle M_{2}\left({\frac {E}{\rho }}\right)}