Figure 12: Defining tension and compression

Transcription

Figure 12: Defining tension and compression
Tragwerksentwurf I – Structural Design I
Figure 12: Defining tension and compression
To define tension and compression, we look at the local equilibrium of a node in the defined reading direction and draw the respective polygon as a
free-body-diagram (FBD). The fastest and easiest way is to do this parallel to the drawing of the force diagram. The direction of the array defines the
112 BEISPIEL IN EINZELNEN SCHRIT TEN
art of load: Away from node: tension (usually red); towards the node: compression (usually blue). Once all elements are known, the resultant can be
drawn to the form
diagram.MIT LAGEPLAN UND KRÄFTEPLAN
ARBEITEN
F1
I
II
F2
s1
s3
s4
VII
s10
F1
III
s6
s2
s5
F3
F3
F1 s'1
s7
IV
s'9
Druck
Compression
s'2
s'3
BV
s8
s9
F2
Zug
Tension
s'4
F1
s'8
Nullstab
Unstrained
member
s'5
s'6
V
Lageplan
(1 cm
= 7 m)
Form
diagram
(1cm=7m)
^
BH
s'7
BV
BH
BV
Lageplan
mit Angabe
der Beanspruchungsart
Form
diagram
including
type of force
der Tragwerkselemente
(1 cm = 7 m)
(1cm=7m)
Kräfteplan
(1 cm
= 2700 kN)
Force
diagram
(1cm=2700kN)
^
Knoten
Node
IVIV
=NC
N5
N4
russi
pDre
o5=m
Knoten
Node
III III
^
s6
F3
s5
N7
= Zug
NN
=Tension
6 6
rsuio
cnk
rDes
s4
N7
s8
N
7
7
=C
No
Interpretation des Kräfteplans
= Zug
4
NN
=Tension
4
n
Vorgehen zur Bestimmung von Zug und Druck
N5
N8
m=p
F3
s7
io
rupcrekss
NN8=8=CDom
s7
cokn
N6
F3
n
VI
F3
NN
=
7 7=C
oDmr
purec
sksi
o
BH
s11
6. Bestimmen von Zug und Druck

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