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Trusses in 2-D
Mohammad Tawfik
Trusses
• Now, the problem lies in the
transformation of the local displacements
of the bar, which are always in the
direction of the bar, to the global degrees
of freedom that are generally oriented in
the plain.
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Trusses in 2-D
Mohammad Tawfik
Element Equations
0000
0101
0000
0101
1
L
EA
K
1010
0000
1010
0000
2
L
EA
K
3536.03536.03536.03536.0
3536.03536.03536.03536.0
3536.03536.03536.03536.0
3536.03536.03536.03536.0
3
L
EA
K
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Trusses in 2-D
Mohammad Tawfik
Assembly Procedure
3536.13536.0103536.03536.0
3536.03536.0003536.03536.0
101000
000101
3536.03536.0003536.03536.0
3536.03536.0013536.03536.1
L
EA
K
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Trusses in 2-D
Mohammad Tawfik
Global Force Vector
P
P
F
F
F
F
F
F
F
F
F
F
F
y
x
y
x
y
x
y
x
y
x
2
2
2
1
1
3
3
2
2
1
1
Remember!
NO distributed load
is applied to a truss
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Trusses in 2-D
Mohammad Tawfik
Post-computation
e
e
e
e
e
A
P
A
P 21
e
e
ee
e
e
u
u
L
EA
P
P
2
1
2
1
11
11
2
2
1
1
2
2
1
1
00
00
00
00
v
u
v
u
CosSin
SinCos
CosSin
SinCos
v
u
v
u