Gleichungen

\beta_{2\;max}=\frac{C_\beta+\beta_1}{\beta_1}

\beta_{4\;max}=\frac{3\cdot C_\beta+\beta_1}{\beta_1\cdot\beta_2\cdot\beta_3}

\beta_{max}=\left(\beta_{100}+e\right)-\frac{e\cdot d_1}{100\cdot s_0}

\beta_{n\;max}=\frac{C_\beta\cdot\left(n-1\right)+\beta_1}{\beta_1\cdot\beta_2\cdot...\cdot\beta_{n-1}}

\Delta l=\frac\sigma E\cdot l_{0}

\Delta\approx\left(0,45\cdot\sqrt[3]D+0,001\cdot D\right)\cdot\left(\sqrt[5]{10}\right)^{\left(IT-6\right)}\cdot10

\lambda=\frac {4\cdot l_{K}}{d}

\lambda=\frac {l_{K}}{i}

\lambda=\frac{4\cdot l_{K}}{\sqrt{d_a^{2}+d_i^{2}}}

\sigma_Z=\frac{F_{Zg}}{b\cdot s_0}

\sigma_{d~zul}\leq\left\{\begin{array}{l}\frac{E\cdot\pi^{2}}{3\cdot\lambda^{2}}&\mbox{if $\lambda$ $\geq $ 30}\\2620-62\cdot \lambda&\mbox{if 10 $\leq$ $\lambda$$\leq$ 30}\\2000&\mbox{if $\lambda$ $\leq $ 10}\end{array}\right.

\sigma_{P}=\frac{F_{S}}{A_{P}}

\varphi=\ln\frac{A_{0}}{A_{1}}=\ln\frac{d_{0}^{2}-d_{1}^{2}}{d_{2}^{2}-d_{3}^{2}}

\varphi_2=\beta_i=\ln\left(\frac{d_V}{d_1}\right)=\ln\left(\frac{\sqrt{d_0^2-d_A^2+d_1^2}}{d_1}\right)

A=\frac{r^2}2\cdot\left(2\cdot\alpha-\sin\;\left(2\cdot\alpha\right)\right)

A_D=d_K^2\cdot\frac\pi4~~~~~~~A_Z=\left(d_K^2-d_S^2\right)\cdot\frac\pi4

A_D=n\cdot d_{K}^2\cdot\frac\pi4

A_S=\left(d_K^2-d_S^2\right)\cdot\frac\pi4

A_S\geq\frac{F_{SG}}{{\displaystyle\frac{R_{p0,2}}{2.975}}-{\displaystyle\frac{2541}{l_{Kl}}}}

A_Z=n\cdot \left(d_K^2-d_S^2\right)\cdot\frac\pi4

C=\frac{A_L}{r_e}<64

C=\sqrt{0,6+\frac{0,4\cdot d_1^2}{d_0^2}}

d_{A0}=\sqrt{\frac4\pi\cdot A_0}=1,13\cdot\sqrt{A_0}

d_{Ap}=\sqrt{\frac4\pi\cdot A_p}=1,13\cdot\sqrt{A_p}

E=mc^2

Exxxx = mc^2

F_D=n\cdot p\cdot\eta_K\cdot A_D

F_N=\frac\pi4\cdot\left[d_0^2-\left(d_1+2\cdot r_M+2\cdot u_z\right)^2\right]\cdot P_n

F_Z=n\cdot p\cdot\eta_K\cdot A_Z

F_{ab}=0,25\cdot F_{St}

F_{BR}=\pi\cdot\left(d_1+s_0\right)\cdot s_0\cdot R_m\cdot a_R

F_{H}=l_{St}\cdot s_{t}\cdot R_{M~max}\cdot \sin \alpha

F_{id}=d_1\cdot\pi\cdot s_0\cdot k_{fm}\cdot\ln\left(\frac{d_A}{d_1}\right)

F_{K~e}=30\%\cdot F_{K}

F_{N}=\frac{\pi}4\cdot\left[D_{0}^2-\left(d_{1}+2\cdot r_{M}+2\cdot u_{z}\right)^{2}\right]\cdot P_{N}

F_{R\;B/ZR}=\left(e^{\mu_3\cdot\frac\pi2}-1\right)\cdot\left(F_{id}+F_{R\;B/N}+F_{R\;B/Z}\right)

F_{S g}=0,8^{2}\cdot l_S\cdot s_{0}\cdot R_{m}

F_{S}\approx 0,8\cdot l_S\cdot s_{0}\cdot R_{m}

F_{ZB}=\pi\cdot d_{1}\cdot s\cdot\frac{k_{fm}}{1000}

F_{ZW}=0,5\cdot F_{Z}+5\cdot d_{2}\cdot s_{0}\cdot k_{fm}\cdot ln(\beta_{1})

G=\frac1{2\cdot\left(1+v\right)}\cdot E

I_\eta=\frac{I_y+I_z}2+\frac{I_y-I_z}2\cdot\cos\left(2\cdot\varphi\right)-I_{yz}\cdot\sin\left(2\cdot\varphi\right)

I_x=\frac{h_a^3}{36}\cdot\left(a_1+a_2\right)

I_y=\frac{r^4}4\cdot\left(\alpha-\frac23\cdot\sin\left(2\cdot\alpha\right)+\frac1{12}\cdot\sin\left(4\cdot\alpha\right)\right)

i_{min}=\sqrt{\frac{I_{min}}A}

I_{xy}=\frac{h_a^2}{72}\cdot\left(a_2^2-a_1^2\right)

K_e=\left(F_{Zmax}\cdot h_z\cdot m_u+F_{nh}\cdot h_{nh}\cdot m_{nh}\right)\cdot\;K_I\cdot M\cdot\frac1{3600\cdot\eta_{ges}}

k_f=260\cdot\varphi^{0,1975}

k_f=452\cdot\left(0,003+\varphi\right)^{0,252}

k_f=\left\{\begin{array}{lc}1480\cdot\left(0,08+\varphi\right)^{0,447}&if\;\varphi\;<0,4\\1045&else\end{array}\right.

k_f=C\cdot\left(\varphi_0+\varphi\right)^n

k_{fm}=130\cdot\left(\varphi_1^{0,1975}+\varphi_2^{0,1975}\right)

k_{fm}=226\cdot\left(\left(0,003+\varphi_1\right)^{0,252}+\left(0,003+\varphi_2\right)^{0,252}\right)

k_{fm}=\frac{k_{f1}+k_{f2}}2

k_{f}=C\cdot\varphi^{n}

n=\ln\left(1+\varepsilon_{gl}\right)