2.5.3.4 Membrane forces

Membrane forces

With the governing lever arm from the preliminary design, it is now possible to transform the internal forces of the linear plate analysis into membrane forces. For this, the equations presented in the design concept (Eq. 2.40) are used.

$n_{sx, +z} = \frac{m_x}{Z_{min, +z}} + \frac{n_x}{2} =\hspace{0.17em}\frac{123.35}{1.239} + \frac{-103.911}{2} = 48.408 \mathrm{kN}/\mathrm{m}$

$n_{sy, +z} =\hspace{0.17em}\frac{m_y}{Z_{min, +z}} + \frac{n_y}{2} =\hspace{0.17em}\frac{54.36}{1.239} + \frac{-285.386}{2} = -98.819 \mathrm{kN}/\mathrm{m}$

$n_{xy, +z} = \frac{m_{xy}}{Z_{min, +z}} + \frac{n_{xy}}{2} = \frac{-135.39}{1.239} + \frac{135.935}{2} = -109.910 \mathrm{kN}/\mathrm{m}$

These membrane forces can also be found in the design details.