Civil Engineering Reference
In-Depth Information
Allgemeines Dreieck
ah
A
=
= ⋅ ⋅ ⋅ = ⋅
s x y z
r s
2
1
1
1
=⋅ ⋅ ⋅
bc
sin
α
=⋅ ⋅ ⋅
ac
sin
β
=⋅ ⋅ ⋅
ab
sin
γ
2
2
2
mit
:
abc ah
++
bc
s r R
2 2 s 2 h
xsa ysb zsc
=
;
=
;
=
=−
;
=−
;
=−
Regelmäßiges Fünfeck
5
2
A
=⋅ ⋅
r
10
+⋅
2
5
8
1
a
=⋅ ⋅
r
10
−⋅
2
5
2
1 r625
4
δ
=⋅ ⋅ +⋅
Regelmäßiges Sechseck
3
2
A
=⋅ ⋅
a
3
2
2
d
=⋅= ⋅ ≈ ⋅
2 a
s
1 155 s
,
3
8
3
s
=⋅
d
≈ ⋅
0 866 d
,
2
Regelmäßiges Achteck
22 2
A2as 2s ds 03s
a
=⋅⋅=⋅⋅ − ≈ ⋅
=⋅
,
s
tan
22 5
,
°
s
=⋅
d
cos
22 5
,
°
s
d
=
cos
22 5
,
°
Vieleck
AAAA
ah bh bh
2
=++
⋅ +⋅ +⋅
1
2
3
1
2
3
=
Kreis
π
2
2
2
A
=⋅ =⋅ ≈ ⋅
π
r
d
0 785 d
,
4
U2r d
=⋅⋅=⋅
ππ
 
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