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Lecturer : M. LY Hav
Student : KUY Limeng
ID : e20190482
Group : I4-GCI B
CONSTRUCTION MÉTALLIQUE I
I-BEAM
2022-2023
Contents
I. Objective .............................................................................................................1
II. Equipment .......................................................................................................1
III. Procedure.........................................................................................................1
IV. Calculation.......................................................................................................2
V. Conclusion...........................................................................................................6
VI. REFERENCES: ..............................................................................................7
Institute of Technology of Cambodia Lecturer: M. LY Hav
KUY Limeng 1
I. Objective
The purpose of this project is to know how to find materials to mock up I-Beam. There are
many materials in this process, such as steel cutting motors, polishing motors, steel plates and
epoxy of glue. The I-beam is the kind of beam that is used the most often in structural steel
construction. There are many types of steel beams of different sizes to use in the construction of
steel structures. Other important things are the calculation of the cross section, including the
classification of the cross section, the inertia of the moment and the internal force diagram of the
beam. I used the actual measured data.
II. Equipment
There is some material in this process such as:
- Steel Plates (We cut in 3 part: two flanges and a web) (Fig.1)
- Epoxy steel glue (Fig.2)
- Caliper
- Sand Paper
III. Procedure
In this process, we bought steel and cut it in three parts such as a web and two flanges. We
work as a team because we need to a long steel and it need to spend much money, so we decided
to work as a team, but we do the connecting steel I-Beam individual. Because of the small sample
steel, mock up I-Beam so we used the Epoxy Steel Glue to connect the steel.
I spend the half day to do this project. Firstly, we cut the steel (Web and Flanges), then i do
the polish those steel to make it smooth. After that, I brought those steel to calibrate the position
of flange with web before i connected with epoxy steel glue.
• BOQ (Bill of Quantity)
Steel Plate Free
Epoxy 6500 riels
Caliper Free
Sand Paper 1000 riels
(Fig.1)
(Fig.2)
Institute of Technology of Cambodia Lecturer: M. LY Hav
KUY Limeng 2
IV. Calculation
𝜖 = √
235
𝑓𝑦
= √
235
235
= 1
• Find Class of Section:
- Paroi en console:
𝑐
𝑡𝑓
=?
𝑐 =
𝑏 − 𝑡𝑤
2
=
8.7 − 1
2
= 3.85𝑚𝑚
⇒
𝑐
𝑡𝑓
=
3.85
1
= 3.85
• 9 × 𝜖 = 9 × 1 = 9 >
𝑐
𝑡𝑓
Thus, Paroi en Console en Classe 1
tf
tw
b
h
We have: h= 21.6 mm L=145 mm
b= 8.7 mm tw= 1.0 mm
tf= 1.0 mm fy=235 MPa (S235)
r=0 mm
Measurement Connection steel
c
L
Institute of Technology of Cambodia Lecturer: M. LY Hav
KUY Limeng 3
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16
N
[kN]
x
Normal Force : N
• Find Class of Section:
- Paroi interne
𝑐
𝑡𝑤
=?
𝑐 = ℎ − 2 × 𝑡𝑓 = 21.6 − 2 = 19.6𝑚𝑚
⇒
𝑐
𝑡𝑤
=
19.6
1
= 19.6
• 72 × 𝜖 = 72 × 1 = 72 >
𝑐
𝑡𝑤
Donc, Paroi interne en Classe 1
• Find P
𝑀𝐸𝑑 =
𝑃 × 𝐿
4
⇒ 𝑃 =
4 × 𝑀𝐸𝑑
𝐿
(𝑤𝑝𝑙,𝑧 = 275.26 𝑚𝑚3
)
𝑆𝑖𝑛𝑐𝑒, 𝑀𝑐,𝑅𝑑 = 𝑀𝑅𝑑,𝑝𝑙 = 𝑓𝑦 × 𝑤𝑝𝑙,𝑧 = 235 × 275.26 = 64686.1 𝑁𝑚𝑚
𝑀𝑅𝑑,𝑝𝑙 ≥ 𝑀𝐸𝑑 = 64686.1 𝑁𝑚𝑚 = 0.0646 𝑘𝑁𝑚
⇒ 𝑃 =
4 × 64686.1
140
= 1848.174 𝑁 = 1.85 𝑘𝑁
Thus, P= 1.85 kN
• Diagram N, V, M and Deflection
➢ Normal Force: N=0 [kNm]
Institute of Technology of Cambodia Lecturer: M. LY Hav
KUY Limeng 4
-1.5
-1
-0.5
0
0.5
1
1.5
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16
N
[kN]
x
Shear Force : V
0
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16
M
[kNm]
x
Bending Moment : M
➢ Shear Force:
• 𝑅𝐴𝑍 + 𝑅𝐵𝑍 = 𝑃 (1)
• 𝑅𝐴𝑍 =
𝑃
2
=
1.85
2
= 0.924 𝑘𝑁
• (1) ∶ 𝑅𝐵𝑍 = 𝑃 − 𝑅𝐴𝑍 = 0.924 𝑘𝑁
➢ Bending Moment:
• 𝑀𝐸𝑑 =
𝑃×𝐿
4
=
1.85×0.14
4
= 0.0646 𝑘𝑁𝑚
𝑀𝐸𝑑 = 0.0646 𝑘𝑁𝑚
0.924 𝑘𝑁
0.924𝑘𝑁
Institute of Technology of Cambodia Lecturer: M. LY Hav
KUY Limeng 5
0
2E-08
4E-08
6E-08
8E-08
0.0000001
1.2E-07
1.4E-07
0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16
Deflection
x
Deflection
➢ Deflection:
• Moment inertia:
𝐴1 = 𝑏 × 𝑡𝑓
𝐴2 = (ℎ − 2 × 𝑡𝑓) × 𝑡𝑤
𝐴3 = 𝑏 × 𝑡𝑓
𝐼𝑦1 =
𝑏 × 𝑡𝑓
2
12
× (
ℎ
2
−
𝑡𝑓
2
)
2
× 𝐴1
𝐼𝑦2 = (𝑡𝑤 ×
(ℎ − 2 × 𝑡𝑓
2
)
3
12
)
𝐼𝑦3 =
𝑏 × 𝑡𝑓
2
12
× (
ℎ
2
−
𝑡𝑓
2
)
2
× 𝐴3
𝐼𝑧1 =
𝑏 × 𝑡𝑓
3
12
𝐼𝑧2 =
(ℎ − 2 × 𝑡𝑓) × 𝑡𝑤
3
12
𝐼𝑧3 =
𝑏 × 𝑡𝑓
3
12
𝐼𝑦 = 𝐼𝑦1 + 𝐼𝑦2 + 𝐼𝑦3
𝐼𝑧 = 𝐼𝑧1 + 𝐼𝑧2 + 𝐼𝑧3
We have:
Δ = 1.3 × 10−7
𝑚
Institute of Technology of Cambodia Lecturer: M. LY Hav
KUY Limeng 6
V. Conclusion
After working in this process, make sure to understand the process of steel production, how to
use the material and connecting the steel according to various cross-sections, obviously cross-
sections I of a beam. Moreover, i also understand the calculation of this cross-section such as I
defined the class of the cross-section, determined the interior force (Normal force, Shear force and
Moment bending), Deflection and moment inertia of cross-section I-Beam.
This mock up beam project gave me more knowledge related to my studies. In fact, the cross
section of the steel is not cataloged, so I decided to calculate based on the actual data. In the
calculations I designed based on welding but in the process, I used epoxy glue so there may be
some errors in the test.
Institute of Technology of Cambodia Lecturer: M. LY Hav
KUY Limeng 7
VI. REFERENCES:
1. Eurocode 3: Design Steel structures Part 1.1-General rules and rules for buildings
2. TOME II : Voilement local et classification des sections (Prof. LY Hav)
3. Résistance des Matériaux (Prof. VONG Seng)
4. Analyse des Structures (Prof. VONG Seng)

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KUY Limeng(e20190482)_Group B.pdf

  • 1. Lecturer : M. LY Hav Student : KUY Limeng ID : e20190482 Group : I4-GCI B CONSTRUCTION MÉTALLIQUE I I-BEAM 2022-2023
  • 2. Contents I. Objective .............................................................................................................1 II. Equipment .......................................................................................................1 III. Procedure.........................................................................................................1 IV. Calculation.......................................................................................................2 V. Conclusion...........................................................................................................6 VI. REFERENCES: ..............................................................................................7
  • 3. Institute of Technology of Cambodia Lecturer: M. LY Hav KUY Limeng 1 I. Objective The purpose of this project is to know how to find materials to mock up I-Beam. There are many materials in this process, such as steel cutting motors, polishing motors, steel plates and epoxy of glue. The I-beam is the kind of beam that is used the most often in structural steel construction. There are many types of steel beams of different sizes to use in the construction of steel structures. Other important things are the calculation of the cross section, including the classification of the cross section, the inertia of the moment and the internal force diagram of the beam. I used the actual measured data. II. Equipment There is some material in this process such as: - Steel Plates (We cut in 3 part: two flanges and a web) (Fig.1) - Epoxy steel glue (Fig.2) - Caliper - Sand Paper III. Procedure In this process, we bought steel and cut it in three parts such as a web and two flanges. We work as a team because we need to a long steel and it need to spend much money, so we decided to work as a team, but we do the connecting steel I-Beam individual. Because of the small sample steel, mock up I-Beam so we used the Epoxy Steel Glue to connect the steel. I spend the half day to do this project. Firstly, we cut the steel (Web and Flanges), then i do the polish those steel to make it smooth. After that, I brought those steel to calibrate the position of flange with web before i connected with epoxy steel glue. • BOQ (Bill of Quantity) Steel Plate Free Epoxy 6500 riels Caliper Free Sand Paper 1000 riels (Fig.1) (Fig.2)
  • 4. Institute of Technology of Cambodia Lecturer: M. LY Hav KUY Limeng 2 IV. Calculation 𝜖 = √ 235 𝑓𝑦 = √ 235 235 = 1 • Find Class of Section: - Paroi en console: 𝑐 𝑡𝑓 =? 𝑐 = 𝑏 − 𝑡𝑤 2 = 8.7 − 1 2 = 3.85𝑚𝑚 ⇒ 𝑐 𝑡𝑓 = 3.85 1 = 3.85 • 9 × 𝜖 = 9 × 1 = 9 > 𝑐 𝑡𝑓 Thus, Paroi en Console en Classe 1 tf tw b h We have: h= 21.6 mm L=145 mm b= 8.7 mm tw= 1.0 mm tf= 1.0 mm fy=235 MPa (S235) r=0 mm Measurement Connection steel c L
  • 5. Institute of Technology of Cambodia Lecturer: M. LY Hav KUY Limeng 3 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 N [kN] x Normal Force : N • Find Class of Section: - Paroi interne 𝑐 𝑡𝑤 =? 𝑐 = ℎ − 2 × 𝑡𝑓 = 21.6 − 2 = 19.6𝑚𝑚 ⇒ 𝑐 𝑡𝑤 = 19.6 1 = 19.6 • 72 × 𝜖 = 72 × 1 = 72 > 𝑐 𝑡𝑤 Donc, Paroi interne en Classe 1 • Find P 𝑀𝐸𝑑 = 𝑃 × 𝐿 4 ⇒ 𝑃 = 4 × 𝑀𝐸𝑑 𝐿 (𝑤𝑝𝑙,𝑧 = 275.26 𝑚𝑚3 ) 𝑆𝑖𝑛𝑐𝑒, 𝑀𝑐,𝑅𝑑 = 𝑀𝑅𝑑,𝑝𝑙 = 𝑓𝑦 × 𝑤𝑝𝑙,𝑧 = 235 × 275.26 = 64686.1 𝑁𝑚𝑚 𝑀𝑅𝑑,𝑝𝑙 ≥ 𝑀𝐸𝑑 = 64686.1 𝑁𝑚𝑚 = 0.0646 𝑘𝑁𝑚 ⇒ 𝑃 = 4 × 64686.1 140 = 1848.174 𝑁 = 1.85 𝑘𝑁 Thus, P= 1.85 kN • Diagram N, V, M and Deflection ➢ Normal Force: N=0 [kNm]
  • 6. Institute of Technology of Cambodia Lecturer: M. LY Hav KUY Limeng 4 -1.5 -1 -0.5 0 0.5 1 1.5 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 N [kN] x Shear Force : V 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 M [kNm] x Bending Moment : M ➢ Shear Force: • 𝑅𝐴𝑍 + 𝑅𝐵𝑍 = 𝑃 (1) • 𝑅𝐴𝑍 = 𝑃 2 = 1.85 2 = 0.924 𝑘𝑁 • (1) ∶ 𝑅𝐵𝑍 = 𝑃 − 𝑅𝐴𝑍 = 0.924 𝑘𝑁 ➢ Bending Moment: • 𝑀𝐸𝑑 = 𝑃×𝐿 4 = 1.85×0.14 4 = 0.0646 𝑘𝑁𝑚 𝑀𝐸𝑑 = 0.0646 𝑘𝑁𝑚 0.924 𝑘𝑁 0.924𝑘𝑁
  • 7. Institute of Technology of Cambodia Lecturer: M. LY Hav KUY Limeng 5 0 2E-08 4E-08 6E-08 8E-08 0.0000001 1.2E-07 1.4E-07 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 Deflection x Deflection ➢ Deflection: • Moment inertia: 𝐴1 = 𝑏 × 𝑡𝑓 𝐴2 = (ℎ − 2 × 𝑡𝑓) × 𝑡𝑤 𝐴3 = 𝑏 × 𝑡𝑓 𝐼𝑦1 = 𝑏 × 𝑡𝑓 2 12 × ( ℎ 2 − 𝑡𝑓 2 ) 2 × 𝐴1 𝐼𝑦2 = (𝑡𝑤 × (ℎ − 2 × 𝑡𝑓 2 ) 3 12 ) 𝐼𝑦3 = 𝑏 × 𝑡𝑓 2 12 × ( ℎ 2 − 𝑡𝑓 2 ) 2 × 𝐴3 𝐼𝑧1 = 𝑏 × 𝑡𝑓 3 12 𝐼𝑧2 = (ℎ − 2 × 𝑡𝑓) × 𝑡𝑤 3 12 𝐼𝑧3 = 𝑏 × 𝑡𝑓 3 12 𝐼𝑦 = 𝐼𝑦1 + 𝐼𝑦2 + 𝐼𝑦3 𝐼𝑧 = 𝐼𝑧1 + 𝐼𝑧2 + 𝐼𝑧3 We have: Δ = 1.3 × 10−7 𝑚
  • 8. Institute of Technology of Cambodia Lecturer: M. LY Hav KUY Limeng 6 V. Conclusion After working in this process, make sure to understand the process of steel production, how to use the material and connecting the steel according to various cross-sections, obviously cross- sections I of a beam. Moreover, i also understand the calculation of this cross-section such as I defined the class of the cross-section, determined the interior force (Normal force, Shear force and Moment bending), Deflection and moment inertia of cross-section I-Beam. This mock up beam project gave me more knowledge related to my studies. In fact, the cross section of the steel is not cataloged, so I decided to calculate based on the actual data. In the calculations I designed based on welding but in the process, I used epoxy glue so there may be some errors in the test.
  • 9. Institute of Technology of Cambodia Lecturer: M. LY Hav KUY Limeng 7 VI. REFERENCES: 1. Eurocode 3: Design Steel structures Part 1.1-General rules and rules for buildings 2. TOME II : Voilement local et classification des sections (Prof. LY Hav) 3. Résistance des Matériaux (Prof. VONG Seng) 4. Analyse des Structures (Prof. VONG Seng)