update

Leichtbau_02/index.md

@@ -22,7 +22,7 @@ footer {
 Prof. Dr.-Ing. Christian Willberg<a href="https://orcid.org/0000-0003-2433-9183"><img src="../assets/styles/ORCIDiD_iconvector.png" alt="ORCID symbol" style="height:15px;width:auto;vertical-align: top;background-color:transparent;"></a>
 Magdeburg-Stendal University of Applied Sciences
 
-![bg right](https://upload.wikimedia.org/wikipedia/commons/a/a2/Bochumer_Verein-23-50078.jpg)
+![bg right](../assets/Figures/FKV_struktur.png)
 
 Contact: christian.willberg@h2.de
 
@@ -32,7 +32,7 @@ Contact: christian.willberg@h2.de
 
 $\rightarrow : F_1 \cos\alpha + F_2 + F_3 \cos\beta=0$
 
-$\rightarrow : F_1 \sin\alpha - F_e - F_3 \sin\beta=0$
+$\uparrow : F_1 \sin\alpha - F_e - F_3 \sin\beta=0$
 
 $\sigma_i = \frac{F_i}{A_i}=E_i\varepsilon = E_i\frac{\delta u_i}{l_i}$
 $F_i = E_iA_i\frac{\delta u_i}{l_i}$
@@ -49,14 +49,14 @@ $F_e \delta u_y = F_1 \frac{\delta u_y}{\sin \alpha} + F_2 \delta u_2 +  F_3 \fr
 
 ---
 
-$W_x$
+aus $\rightarrow$
 
-$E_2A_2\frac{\delta u_x}{l_2} \delta u_x = E_1A_1\frac{\delta u_1}{l_1} \cos \alpha \delta u_1 + E_3A_3\frac{\delta u_3}{l_3} \cos \beta \delta u_3$
+$E_2A_2\frac{\delta u_x}{l_2} = E_1A_1\frac{\delta u_1}{l_1}\cos \alpha  + E_3A_3\frac{\delta u_3}{l_3}\cos \beta$
 
-$E_2A_2\frac{\delta u_x}{l_2} \delta u_x = E_1A_1\frac{1}{l_1} \cos \alpha  \frac{\delta u_y}{\sin \alpha^2} + E_3A_3\frac{1}{l_3} \cos \beta  \frac{\delta u_y}{\sin \beta^2}$
+$E_2A_2\frac{\delta u_x}{l_2}  = E_1A_1\frac{1}{l_1} \cos \alpha  \frac{\delta u_y}{\sin \alpha} + E_3A_3\frac{1}{l_3} \cos \beta  \frac{\delta u_y}{\sin \beta}$
 
-$\delta u_x^2= l_2\frac{E_1A_1\frac{\cos \alpha}{l_1 \sin \alpha^2}  + E_3A_3\frac{\cos \beta }{l_3 \sin \beta^2}}{E_2A_2} \delta u_y^2$
+$\delta u_x^2= \left[l_2\frac{E_1A_1\frac{\cos \alpha}{l_1 \sin \alpha}  + E_3A_3\frac{\cos \beta }{l_3 \sin \beta}}{E_2A_2}\right]^2 \delta u_y^2 =A\delta u_y^2$
 
-$F_e \delta u_y = \left(\frac{E_1A_1}{l_1\sin \alpha^2}+\frac{E_3A_3}{l_3\cos\beta^2} \right) \delta u_y^2 + \frac{E_2A_2}{l_2} l_2\frac{E_1A_1\frac{\cos \alpha}{l_1 \sin \alpha^2}  + E_3A_3\frac{\cos \beta }{l_3 \sin \beta^2}}{E_2A_2} \delta u_y^2$
+$F_e \delta u_y = \left(\frac{E_1A_1}{l_1\sin \alpha^2}+\frac{E_3A_3}{l_3\cos\beta^2} \right) \delta u_y^2 + \frac{E_2A_2}{l_2} A \delta u_y^2$
 
-nach $\delta u_y$ auflösen und dann den Rest bestimmen
+nach $\delta u_y$ auflösen und dann den Rest bestimmen.

wst_mb_13/index.md

@@ -76,6 +76,8 @@ Kontakt: christian.willberg@h2.de
 - Material und seine Eigenschaften entstehen in der Fertigung 
 ![bg right 70%](../assets/QR/wst_mb_13.png)
 
+---
+
 ## Fokus von Industrien
 
 - Luft- und Raumfahrt