Geometry

2.00
LC1
1.00

0.00 1 HEA120 6 1 2

-1.00
HEA120

HEA120
-2.00 4

-3.00
6.00 [m]
6.00 [m]

-4.00
2 3
HEA120

-5.00

-6.00
3 5 4
Free version
-7.00
z 4.00 [m] 6.00 [m]
-8.00 10.00 [m]

10.00

11.00

12.00

13.00

14.00

15.00
-4.00

-3.00

-2.00

-1.00

0.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

8.00

9.00
x
-9.00
Beams
l EA EI
# beam Profile Material #pi #pj
[m] [N] [Nmm²]
1 10.00 HEA120 S235 5.32⋅108 1.27⋅1012 1 (0.00 , 0.00) 2 (10.00 , 0.00)
2 6.00 HEA120 S235 5.32⋅108 1.27⋅1012 1 (0.00 , 0.00) 3 (0.00 , -6.00)

3 6.00 HEA120 S235 5.32⋅108 1.27⋅1012 2 (10.00 , 0.00) 4 (10.00 , -6.00)

4 6.00 HEA120 S235 5.32⋅108 1.27⋅1012 5 (4.00 , -6.00) 6 (4.00 , 0.00)

Nodes
x y
#
[m] [m]
1 0.00 0.00

2 10.00 0.00
3 0.00 -6.00

4 10.00 -6.00
5 4.00 -6.00

6 4.00 0.00

Supports
loc x y
Beam# Type
[m] [m] [m]
2 6.00 0.00 , -6.00 Fixed
3 6.00 10.00 , -6.00 Fixed

4 0.00 4.00 , -6.00 Fixed

Material
Emod Weight αthermal
Name
[MPa] [kN/m³] [1/°C]
S235 210000.00 78.00 1.20⋅10-5

Profiles
A Avz Iy Wyel width height
Name
[mm²] [mm²] [mm⁴] [mm³] [m] [m]
HEA120 2534.00 490.00 6.06⋅106 106347.00 0.12 0.11
Results
Load cases
Self weight

2.00
0.20 [kN/m]

0.20 [kN/m]
Self weight
1.00

-0.16

-0.04
0.00 0.26/EI HEA120
0.28/EI 0.26/EI 0.26/EI
1
0.37/EI
-263.18/W

0.10

0.07

-0.31
-1.00
1.24/EI
HEA120

HEA120
0.30/EI

-2.00
4
0.42
0.38[m]

1.54[m]

2.65[m]

5.22[m]

7.16[m]

9.35[m]
-3.00
0.13

0.27/EI
3.48[m]
-0.10 2.33[m]
6.00 [m]
6.00 [m]

-4.00 2 3-0.31
4.20[m]
0.20HEA120
[kN/m]

-0.48
-0.65
-5.00

0.65
-0.04
0.10

-6.00 0.03 [kN] 0.04 [kN] 0.07 [kN]

1.51[m]

7.29[m]

0.30
-0.07

0.07

0.13

Free version
0.

0.
07
1.49 [kN]

2.33 [kN]

1.72 [kN]
0.
10

13

-7.00
[k

[k
N

[k
N
m

N
m
]

z
m
]

4.00 [m] 6.00 [m]

]

-0.49 -0.54
-8.00
10.00 [m]
10.00

11.00

12.00

13.00

14.00

15.00
-4.00

-3.00

-2.00

-1.00

0.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

8.00

9.00

x
-9.00 261.87/W 262.13/W 263.18/W

Distributed loads
pi pj loc lforce
Beam
[kN/m] [kN/m] [m] [m]
1 0.20 0.20 0.00 10.00
 2 0.20 0.20 0.00 6.00
3 0.20 0.20 0.00 6.00
4 0.20 0.20 0.00 6.00

Results
Beam# pi pj min max u.c.

1 M [kNm] 0.10 0.31 -0.65 0.42

V [kN] -0.30 -0.06 -0.54 0.65
N [kN] 0.03 0.07 -0.07 -0.03
σM [MPa] 0.91 2.87 -6.07 3.95
σN [MPa] -0.01 -0.03 -0.03 -0.01
τ [MPa] -0.61 1.09 -1.09 1.33
σtot [MPa] 0.92 2.90 0.40 6.10
φ [rad] 6.30⋅10-5 -0.00 -0.00 0.00
δx [mm] 0.21 0.21 0.21 0.21
δz [mm] -0.01 -0.01 -0.96 0.01
δtot [mm] 0.21 0.21 0.21 0.98
2 M [kNm] -0.10 0.07 -0.07 0.10
V [kN] 0.03 0.03 -0.03 -0.03

N [kN] 0.30 -0.29 -1.49 -0.30

σM [MPa] -0.91 0.66 -0.66 0.91
σN [MPa] -0.12 -0.59 -0.59 -0.12
τ [MPa] 0.06 0.06 -0.06 -0.06
 σtot [MPa] 1.03 1.25 0.45 1.25
φ [rad] 6.30⋅10-5 0.00 -6.30⋅10-5 6.97⋅10-5
δx [mm] -0.01 0.00 -0.01 0.00
δz [mm] -0.21 -0.00 -0.23 -0.00
δtot [mm] 0.21 0.00 0.00 0.23

3 M [kNm] 0.31 -0.13 -0.31 0.13

V [kN] -0.07 -0.07 0.07 0.07
N [kN] 0.54 -0.06 -1.72 -0.54
σM [MPa] 2.87 -1.23 -2.87 1.23
σN [MPa] -0.21 -0.68 -0.68 -0.21
τ [MPa] -0.15 -0.15 0.15 0.15
σtot [MPa] 3.08 1.91 0.68 3.08
φ [rad] -0.00 -0.00 -9.22⋅10-5 0.00
δx [mm] -0.01 0.00 -0.01 0.00
δz [mm] -0.21 0.00 -0.21 0.22
δtot [mm] 0.21 0.00 0.00 0.22
4 M [kNm] -0.10 0.16 -0.16 0.10
V [kN] 0.04 0.04 -0.04 -0.04
N [kN] 2.33 2.92 -2.33 -1.14
σM [MPa] -0.98 1.55 -1.55 0.98
σN [MPa] -0.92 -0.45 -0.92 -0.45
τ [MPa] 0.09 0.09 -0.09 -0.09
 σtot [MPa] 1.90 2.00 0.81 2.00
φ [rad] -0.00 0.00 -0.00 9.49⋅10-5
δx [mm] 0.00 0.02 0.00 0.02
δz [mm] 0.00 0.21 0.00 0.29
δtot [mm] 0.00 0.21 0.00 0.30

Reaction forces
Support# p Fx[kN] Fz[kN] M[kNm]

1 (0.00, -6.00) 1.49 0.03 0.07

2 (10.00, -6.00) 1.72 -0.07 -0.13
3 (4.00, -6.00) 2.33 0.04 0.10
LC1

2.00

34.33 [kN/m]

34.33 [kN/m]
LC1
1.00

-28.46

-7.78
0.00 48/EI HEA120 48/EI 50/EI
51/EI 1
17.29

11388.70/W

12.77

-53.77
66/EI
63[m]
-1.00
HEA120

HEA120
207/EI
54/EI

-2.00 4

50/EI
48837/W
48836.73/W

11925.15/W

12.77

-23.12
-3.00 73.14
0.38[m]

1.54[m]

2.66[m]

5.21[m]

7.16[m]

9.34[m]
3.47[m] 22.58
2.34[m]
6.00 [m]
6.00 [m]

-4.00
2-17.29 4.21[m] 3
HEA120

-53.77

10.00 [mm]
-5.00 -82.62
-111.08

18.24

-7.78
-6.00 4.99 [kN] 7.78 [kN] 12.77 [kN]
112.54
-12.65

12.77

22.86

Free version
12
52.33 [kN]

18
197.53 [kN]

93.44 [kN]
.6

22
1.52[m]

7.28[m]

52.33
.2

-7.00
5

.8
4
[k

6
[k
N

[k
N
m

N
m
]

m
]

4.00 [m] 6.00 [m]

]
-8.00

10.00

11.00

12.00

13.00

14.00

15.00
10.00 [m]
-4.00

-3.00

-2.00

-1.00

0.00

1.00

2.00

3.00

4.00

5.00

6.00

7.00

8.00

9.00

x -84.99 -93.44
-9.00

Distributed loads
pi pj loc lforce
Beam
[kN/m] [kN/m] [m] [m]
1 34.33 34.33 0.00 10.00

Elongation loads
Size loc lforce
Beam
[mm] [m] [m]
3 10.00 2.40 3.60
Results
Beam# pi pj min max u.c.

1 M [kNm] 17.29 53.77 -111.08 73.14

V [kN] -52.33 -9.55 -93.44 112.54
N [kN] 4.99 12.77 -12.77 -4.99
σM [MPa] 162.60 505.61 -1044.52 687.75 4.44
σN [MPa] -1.97 -5.04 -5.04 -1.97
τ [MPa] -106.79 190.69 -190.69 229.68
σtot [MPa] 164.57 510.65 72.56 1049.56 4.47
φ [rad] 0.01 -0.07 -0.07 0.09
δx [mm] 37.73 37.91 37.73 37.91
δz [mm] -0.59 8.95 -161.13 8.95
δtot [mm] 37.73 38.95 37.73 165.51
2 M [kNm] -17.29 12.65 -12.65 17.29
V [kN] 4.99 4.99 -4.99 -4.99
N [kN] 52.33 52.33 -52.33 -52.33
σM [MPa] -162.60 118.93 -118.93 162.60
σN [MPa] -20.65 -20.65 -20.65 -20.65
τ [MPa] 10.18 10.18 -10.18 -10.18
σtot [MPa] 183.25 139.58 30.83 183.25
φ [rad] 0.01 -0.00 -0.01 0.01
 δx [mm] -0.59 0.00 -0.59 0.00
δz [mm] -37.73 -0.00 -42.56 -0.00
δtot [mm] 37.73 0.00 0.00 42.56

3 M [kNm] 53.77 -22.86 -53.77 22.86

V [kN] -12.77 -12.77 12.77 12.77
N [kN] 93.44 -1384.73 -93.44 1384.73
σM [MPa] 505.61 -214.99 -505.61 214.99 2.15
σN [MPa] -36.87 546.46 -36.87 546.46 2.33
τ [MPa] -26.07 -26.07 26.07 26.07
σtot [MPa] 542.48 761.45 254.24 763.83 3.25
φ [rad] -0.07 0.00 -0.02 0.07
δx [mm] 8.95 0.00 0.00 9.37
δz [mm] -37.91 0.00 -37.91 38.36
δtot [mm] 38.95 0.00 0.00 39.49
4 M [kNm] -18.24 28.46 -28.46 18.24
V [kN] 7.78 7.78 -7.78 -7.78
N [kN] 197.53 197.53 -197.53 -197.53
σM [MPa] -171.47 267.59 -267.59 171.47
σN [MPa] -77.95 -77.95 -77.95 -77.95
τ [MPa] 15.88 15.88 -15.88 -15.88
σtot [MPa] 249.42 345.55 93.84 345.55

φ [rad] -0.00 0.02 -0.02 0.02

 δx [mm] 0.00 2.23 0.00 2.23
δz [mm] 0.00 37.77 0.00 52.42
δtot [mm] 0.00 37.83 0.00 52.45

Reaction forces
Support# p Fx[kN] Fz[kN] M[kNm]

1 (0.00, -6.00) 52.33 4.99 12.65

2 (10.00, -6.00) 93.44 -12.77 -22.86
3 (4.00, -6.00) 197.53 7.78 18.24