Παράδειγμα ανάλυσης και σχεδίασης Ζευκτών (Trusses) σύμφωνα με τον Ευρωκώδικα EC3, του Δρ. Κώστα Σαχπάζη. Truss Analysis and Design example to EC3, by Dr. Costas Sachpazis

1. GEODOMISI Ltd. - Dr. Costas
Sachpazis
Civil & Geotechnical Engineering Consulting
Company – www.geodomisi.com
Project
Truss Analysis and Design, to EC3
Job Ref.
Section Sheet no./rev.
1
Calc. by
Dr. C. Sachpazis
Date
28-Feb-21
Chk'd by Date App'd by Date
TRUSS ANALYSIS AND DESIGN TO EC3 EXAMPLE
ANALYSIS
Geometry
Geometry (m) - Steel (BS5950)
Loading
Roof D&S - Loading (kN)
Results
Forces
Roof D&S - Moment (kNm)
1
9
3
.
2
8
1
2
0
3
.
2
8
1
2
1
3
.
2
6
5
2
2
3
.
2
9
8
2
5
3
.
2
8
1
2
6
3
.
2
8
1
3
6
3
.
2
8
2
3
7
3
.
2
8
2

2. GEODOMISI Ltd. - Dr. Costas
Sachpazis
Civil & Geotechnical Engineering Consulting
Company – www.geodomisi.com
Project
Truss Analysis and Design, to EC3
Job Ref.
Section Sheet no./rev.
2
Calc. by
Dr. C. Sachpazis
Date
28-Feb-21
Chk'd by Date App'd by Date
Roof D&S - Shear (kN)
Roof D&S - Axial force (kN)
Element results
Load case: Roof D&S
Element Shear force Moment
Pos Max abs Pos Max Pos Min
(m) (kN) (m) (kNm) (m) (kNm)
1 0 0.7 2.038 1.1 0 -0.2
2 0 -0.3 0 1 2.038 0.4
3 0 -0.3 0 0.6 2.038 -0.1
4 0 -0.1 0 0 2.038 -0.2
5 0 0.5 2.038 0.9 0 -0.2
6 0 -1.1 (max abs) 0 1 2.038 -1.3 (min)
7 0 1.1 2.038 1 0 -1.3
8 0 -0.5 0 0.9 2.037 -0.2
9 0 0.1 2.038 0 0 -0.2
10 0 0.3 2.038 0.6 0 -0.1
11 0 0.3 2.038 1 0 0.4
12 0 -0.7 0 1.1 (max) 2.038 -0.2
13 0 0 3.647 0.4 0 0.2
14 0 -0.1 0 0.4 3.648 -0.1
15 0 0 0 0 3.647 0
16 0 0 0 0 3.647 0
17 0 0.1 3.648 0.4 0 -0.1

3. GEODOMISI Ltd. - Dr. Costas
Sachpazis
Civil & Geotechnical Engineering Consulting
Company – www.geodomisi.com
Project
Truss Analysis and Design, to EC3
Job Ref.
Section Sheet no./rev.
3
Calc. by
Dr. C. Sachpazis
Date
28-Feb-21
Chk'd by Date App'd by Date
Element Shear force Moment
Pos Max abs Pos Max Pos Min
(m) (kN) (m) (kNm) (m) (kNm)
18 0 0 0 0.4 3.647 0.2
19 0 0 3.281 0 0 0
20 0 0 0 0.1 3.281 -0.1
21 0 0 3.265 0.1 0 -0.1
22 0 0 0 0 3.298 0
23 0 -0.1 0 0.1 2.037 0
24 0 0.1 1.819 0.1 0 -0.1
25 0 0 0 0 3.281 0
26 0 0 3.281 0.1 0 -0.1
27 0 0 3.647 0 0 0
28 0 0 0 0 2.037 0
29 0 0.1 1.818 0.1 0 -0.1
30 0 -0.1 0 0.1 1.818 -0.1
31 0 0 0 0 2.064 0
32 0 0 0 0 3.677 0
33 0 -0.2 0 0.2 1.824 -0.2
34 0 0.2 1.794 0.2 0 -0.2
35 0 0 2.728 0 0 0
36 0 0 0 0.1 3.282 -0.1
37 0 0 3.282 0 0 0
38 0 -0.1 0 0.1 1.819 -0.1
39 0 0.1 2.037 0.1 0 0
Load case: Roof D&S
Element Axial force
Pos Max Pos Min
(m) (kN) (m) (kN)
1 0 128.6 0 128.6
2 0 117.6 0 117.6
3 0 117.5 0 117.5
4 0 76.1 0 76.1
5 0 63.8 0 63.8
6 0 62.8 0 62.8
7 0 62.5 0 62.5
8 0 63.6 0 63.6
9 0 76 0 76
10 0 117.4 0 117.4
11 0 117.6 0 117.6
12 0 128.7 (max) 0 128.7 (max)
13 0 -114.8 0 -114.8
14 0 -95.2 0 -95.2
15 0 -85.1 0 -85.1

4. GEODOMISI Ltd. - Dr. Costas
Sachpazis
Civil & Geotechnical Engineering Consulting
Company – www.geodomisi.com
Project
Truss Analysis and Design, to EC3
Job Ref.
Section Sheet no./rev.
4
Calc. by
Dr. C. Sachpazis
Date
28-Feb-21
Chk'd by Date App'd by Date
Element Axial force
Pos Max Pos Min
(m) (kN) (m) (kN)
16 0 -85.1 0 -85.1
17 0 -95.2 0 -95.2
18 0 -114.9 (min) 0 -114.9 (min)
19 0 -9.1 0 -9.1
20 0 -25.9 0 -25.9
21 0 -25.6 0 -25.6
22 0 -9 0 -9
23 0 10.6 0 10.6
24 0 10.4 0 10.4
25 0 -18.1 0 -18.1
26 0 9 0 9
27 0 22.1 0 22.1
28 0 12.6 0 12.6
29 0 8.6 0 8.6
30 0 8.6 0 8.6
31 0 12.6 0 12.6
32 0 22.2 0 22.2
33 0 42.8 0 42.8
34 0 42.8 0 42.8
35 0 -0.4 0 -0.4
36 0 8.9 0 8.9
37 0 -18.1 0 -18.1
38 0 10.4 0 10.4
39 0 10.7 0 10.7
Combination 1 (Strength) - Moment (kNm)

5. GEODOMISI Ltd. - Dr. Costas
Sachpazis
Civil & Geotechnical Engineering Consulting
Company – www.geodomisi.com
Project
Truss Analysis and Design, to EC3
Job Ref.
Section Sheet no./rev.
5
Calc. by
Dr. C. Sachpazis
Date
28-Feb-21
Chk'd by Date App'd by Date
Combination 1 (Strength) - Shear (kN)
Combination 1 (Strength) - Axial force (kN)
Element results
Load combination: Combination 1 (Strength)
Element Shear force Moment
Pos Max abs Pos Max Pos Min
(m) (kN) (m) (kNm) (m) (kNm)
1 0 0.7 2.038 1.1 0 -0.2
2 0 -0.3 0 1 2.038 0.4
3 0 -0.3 0 0.6 2.038 -0.1
4 0 -0.1 0 0 2.038 -0.2
5 0 0.5 2.038 0.9 0 -0.2
6 0 -1.1 (max abs) 0 1 2.038 -1.3 (min)
7 0 1.1 2.038 1 0 -1.3
8 0 -0.5 0 0.9 2.037 -0.2
9 0 0.1 2.038 0 0 -0.2
10 0 0.3 2.038 0.6 0 -0.1
11 0 0.3 2.038 1 0 0.4
12 0 -0.7 0 1.1 (max) 2.038 -0.2
13 0 0 3.647 0.4 0 0.2
14 0 -0.1 0 0.4 3.648 -0.1
15 0 0 0 0 3.647 0
16 0 0 0 0 3.647 0
17 0 0.1 3.648 0.4 0 -0.1

6. GEODOMISI Ltd. - Dr. Costas
Sachpazis
Civil & Geotechnical Engineering Consulting
Company – www.geodomisi.com
Project
Truss Analysis and Design, to EC3
Job Ref.
Section Sheet no./rev.
6
Calc. by
Dr. C. Sachpazis
Date
28-Feb-21
Chk'd by Date App'd by Date
Element Shear force Moment
Pos Max abs Pos Max Pos Min
(m) (kN) (m) (kNm) (m) (kNm)
18 0 0 0 0.4 3.647 0.2
19 0 0 3.281 0 0 0
20 0 0 0 0.1 3.281 -0.1
21 0 0 3.265 0.1 0 -0.1
22 0 0 0 0 3.298 0
23 0 -0.1 0 0.1 2.037 0
24 0 0.1 1.819 0.1 0 -0.1
25 0 0 0 0 3.281 0
26 0 0 3.281 0.1 0 -0.1
27 0 0 3.647 0 0 0
28 0 0 0 0 2.037 0
29 0 0.1 1.818 0.1 0 -0.1
30 0 -0.1 0 0.1 1.818 -0.1
31 0 0 0 0 2.064 0
32 0 0 0 0 3.677 0
33 0 -0.2 0 0.2 1.824 -0.2
34 0 0.2 1.794 0.2 0 -0.2
35 0 0 2.728 0 0 0
36 0 0 0 0.1 3.282 -0.1
37 0 0 3.282 0 0 0
38 0 -0.1 0 0.1 1.819 -0.1
39 0 0.1 2.037 0.1 0 0
Load combination: Combination 1 (Strength)
Element Axial force
Pos Max Pos Min
(m) (kN) (m) (kN)
1 0 128.6 0 128.6
2 0 117.6 0 117.6
3 0 117.5 0 117.5
4 0 76.1 0 76.1
5 0 63.8 0 63.8
6 0 62.8 0 62.8
7 0 62.5 0 62.5
8 0 63.6 0 63.6
9 0 76 0 76
10 0 117.4 0 117.4
11 0 117.6 0 117.6
12 0 128.7 (max) 0 128.7 (max)
13 0 -114.8 0 -114.8
14 0 -95.2 0 -95.2
15 0 -85.1 0 -85.1

7. GEODOMISI Ltd. - Dr. Costas
Sachpazis
Civil & Geotechnical Engineering Consulting
Company – www.geodomisi.com
Project
Truss Analysis and Design, to EC3
Job Ref.
Section Sheet no./rev.
7
Calc. by
Dr. C. Sachpazis
Date
28-Feb-21
Chk'd by Date App'd by Date
Element Axial force
Pos Max Pos Min
(m) (kN) (m) (kN)
16 0 -85.1 0 -85.1
17 0 -95.2 0 -95.2
18 0 -114.9 (min) 0 -114.9 (min)
19 0 -9.1 0 -9.1
20 0 -25.9 0 -25.9
21 0 -25.6 0 -25.6
22 0 -9 0 -9
23 0 10.6 0 10.6
24 0 10.4 0 10.4
25 0 -18.1 0 -18.1
26 0 9 0 9
27 0 22.1 0 22.1
28 0 12.6 0 12.6
29 0 8.6 0 8.6
30 0 8.6 0 8.6
31 0 12.6 0 12.6
32 0 22.2 0 22.2
33 0 42.8 0 42.8
34 0 42.8 0 42.8
35 0 -0.4 0 -0.4
36 0 8.9 0 8.9
37 0 -18.1 0 -18.1
38 0 10.4 0 10.4
39 0 10.7 0 10.7
GEODOMISI Ltd. - Dr. Costas Sachpazis
Civil & Geotechnical Engineering Consulting Company for
Structural Engineering, Soil Mechanics, Rock Mechanics, Foundation
Engineering & Retaining Structures.
Tel.: (+30) 210 5238127, 210 5711263 - Fax.:+30 210 5711461 - Mobile: (+30)
6936425722 & (+44) 7585939944,
www.geodomisi.com - costas@sachpazis.info