From 89d4e02bd1901b5fb2f1424dd13b7f24e8bd3179 Mon Sep 17 00:00:00 2001 From: mistangl Date: Wed, 12 Jun 2024 15:10:41 +0200 Subject: [PATCH] =?UTF-8?q?Gleichungen=20f=C3=BCr=20F=C3=B6rderer=20abw?= =?UTF-8?q?=C3=A4rts=20als=20Bild=20dazu=20gemacht,=20da=20MathMarkdown=20?= =?UTF-8?q?nicht=20unterst=C3=BCtzt=20wird?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- Doku/Berechnung-foerderer-Längen.md | 8 +++++++- Doku/bilder/Berechnung-Foerderer-abwaerts.png | Bin 0 -> 47652 bytes 2 files changed, 7 insertions(+), 1 deletion(-) create mode 100644 Doku/bilder/Berechnung-Foerderer-abwaerts.png diff --git a/Doku/Berechnung-foerderer-Längen.md b/Doku/Berechnung-foerderer-Längen.md index 7536a5d..1dff5fe 100644 --- a/Doku/Berechnung-foerderer-Längen.md +++ b/Doku/Berechnung-foerderer-Längen.md @@ -92,6 +92,9 @@ $$ # Förderer transportiert abwärts ![Alt text](bilder/SkizzeFördererAbwärtsStrecke.svg "Skizze von Förder und Strecke") +Formaln als Bild: +![Alt text](bilder/Berechnung-Foerderer-abwaerts.png) + Unterschied ist hier, dass der Winkel $\alpha_F$ in einem anderen Ursprung definiert wird. Alternativ kann man bei gleichem Ursprung wie vorher über die Z-Winkel Beziehung $\alpha_F$ als negativen Winkel definieren, der dann als positiver Wert in $\alpha_F'$ eingesetzt wird. Dadurch ändert sich Gleichung 3 in: @@ -103,7 +106,10 @@ $$ \Delta{H_F} = H_0 - H_1 - \Delta{H_S} [3.2] $$ d.h. auf der rechten Seite haben alle Komponenten das jeweils inverse Vorzeichen. - +Anstatt wie oben +$$ + \Delta{H_F} = - H_0 + H_1 + \Delta{H_S} [3-Aufwärts] +$$ daraus ergibt sich für $L_F$: $$ L_F \cdot [tan(\alpha_F') + tan(\alpha_S) ] = - H_1 + H_0 + tan(\alpha_S) \cdot L_1 [9] diff --git a/Doku/bilder/Berechnung-Foerderer-abwaerts.png b/Doku/bilder/Berechnung-Foerderer-abwaerts.png new file mode 100644 index 0000000000000000000000000000000000000000..fd003beee7bcb80d8d2a0e67a130c33345f30c04 GIT binary patch literal 47652 zcmdSBWmH{Rw6=MG1cF0wcL@+YxCIFA0fKvQ5AGzvf_n%S9D=*M2Z9H83GVK_PO9#` z{f)leqx(nq9nDCMqE1f1*=w&k*PPG$&K;tpAc=}Zhy;N^P^G2BRUi;JM+gL_@) z@N`n0N~OCgB|XQckrAcQRC`u%)+W^<#ZGP=nwJxWw(P{}<78ADD>pZlR$tTTnPA69 zQu->1Ur?IwU{H?vLU+F^iD=H4e;)0-*Hmou%EmoxEP+fAHLDgS=S5Nw~OLjL_81&;UccbV9o zA`!vRFZyoQD5`(n$cD21_oZN!|1aP6fv~S$Q0Q*;9DQ_job04l@D?rOT53~=mX2a{ 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