From 0d613df4180270569b753e1b8e4f9be0fb506fb0 Mon Sep 17 00:00:00 2001
From: mistangl <m.stangl@schoenenberger.de>
Date: Wed, 20 Nov 2024 11:28:59 +0100
Subject: [PATCH] =?UTF-8?q?Einfache=20Berechnung=20der=20Gef=C3=A4llestrec?=
 =?UTF-8?q?ke=20mit=20Ein=20und=20Auslauf?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 Doku/Berechnung-Gefällestrecke_Einlauf.md     |  44 +++
 .../bilder/SkizzeGefälleStreckeMitEinlauf.svg | 361 ++++++++++++++++++
 2 files changed, 405 insertions(+)
 create mode 100644 Doku/Berechnung-Gefällestrecke_Einlauf.md
 create mode 100644 Doku/bilder/SkizzeGefälleStreckeMitEinlauf.svg

diff --git a/Doku/Berechnung-Gefällestrecke_Einlauf.md b/Doku/Berechnung-Gefällestrecke_Einlauf.md
new file mode 100644
index 0000000..0dc8ef1
--- /dev/null
+++ b/Doku/Berechnung-Gefällestrecke_Einlauf.md
@@ -0,0 +1,44 @@
+# Gefällestrecke mit Einlauf
+
+![Alt text](bilder/SkizzeGefälleStreckeMitEinlauf.svg "Skizze von Gefällestrecke und Einlauf")
+
+Bekannt: 
+
+$$
+L_1, H_0, H_1, \alpha, \Delta H_{EA}, L_{EA}
+$$
+
+Gesucht:
+
+$$
+L_G, \Delta H_G
+$$
+
+
+Beziehungen:
+
+$$
+  \frac{\Delta{H_G}}{L_G} = tan(\alpha) [1]
+$$
+
+$$
+  \Delta{H_F} = H_1 - H_0 + \Delta{H_S} [2]
+$$
+$$
+L_1 = L_G + L_{EA} [3]
+$$
+$$
+H_0 = H_1 + \Delta H_{EA} + \Delta H_G [4]
+$$
+
+
+aus [1]
+$$
+  \Delta{H_G} = tan(\alpha) \cdot L_G  
+              =  tan(\alpha) \cdot L_1 - L_{EA}  
+$$
+
+aus [3]
+$$
+L_G = L_1 - L_{EA} 
+$$
diff --git a/Doku/bilder/SkizzeGefälleStreckeMitEinlauf.svg b/Doku/bilder/SkizzeGefälleStreckeMitEinlauf.svg
new file mode 100644
index 0000000..43c9048
--- /dev/null
+++ b/Doku/bilder/SkizzeGefälleStreckeMitEinlauf.svg
@@ -0,0 +1,361 @@
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