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Master’s Thesis Engineering Technology
Supervisors / Cosupervisors:
Simon De Bruycker
Research into fire stability RF60
(according to Eurocode 3) of modular units
José Gouveia Henriques
Mark Brouwers
Master of Civil Engineering Technology Master of Civil Engineering Technology
2016-­‐2017	
  
Ruben Vaes
The	
  main	
  objec3ve	
  of	
  this	
  document	
  is	
  to	
  provide	
  the	
  reader	
  with	
  a	
  be=er	
  understanding	
  of	
  the	
  current	
  
methods	
  used	
  in	
  fire	
  design	
  for	
  steel	
  modular	
  units	
  according	
  to	
  the	
  European	
  Standard	
  Eurocode,	
  as	
  well	
  
as	
  to	
  use	
  this	
  informa3on	
  to	
  gain	
  more	
  insight	
  in	
  the	
  proper	
  use	
  of	
  the	
  soDware	
  RFEM	
  for	
  the	
  fire	
  stability	
  
calcula3ons.	
  	
  This	
  objec3ve	
  will	
  be	
  realised	
  by	
  carefully	
  analysing	
  the	
  background	
  of	
  a	
  fire	
  situa3on	
  and	
  its	
  
condi3ons.	
  	
  Various	
  models	
  can	
  be	
  designed	
  in	
  fire	
  situa3on,	
  giving	
  the	
  company	
  CBZ	
  in	
  Zutendaal-­‐Belgium	
  
the	
  op3on	
  to	
  do	
  so	
  for	
  all	
  modular	
  units	
  they	
  construct.	
  One	
  of	
  these	
  basic	
  modular	
  units	
  used	
  by	
  CBZ	
  will	
  
finally	
   be	
   analysed	
   in	
   this	
   document,	
   for	
   fire	
   stability	
   R60,	
   in	
   order	
   to	
   provide	
   CBZ	
   with	
   the	
   calcula3on	
  
methods	
  and	
  results.	
  By	
  doing	
  so,	
  this	
  document	
  will	
  serve	
  as	
  a	
  guide	
  for	
  engineers	
  that	
  use	
  RFEM.[1]	
  
	
  
Objec've	
  
Method	
  
An	
  analysis	
  of	
  the	
  concept	
  "fire	
  situa3on"	
  is	
  made	
  according	
  to	
  EN	
  1993-­‐1-­‐2.	
  The	
  backgrounds	
  of	
  the	
  
calcula3ons	
  are	
  explored	
  before	
  the	
  3D	
  structural	
  analysis	
  soDware	
  RFEM	
  is	
  validated.	
  This	
  is	
  done	
  by	
  working	
  
out	
  three	
  examples,	
  first	
  by	
  hand	
  and	
  then	
  with	
  the	
  calcula3on	
  soDware.	
  Once	
  the	
  soDware	
  is	
  validated	
  the	
  
results,	
  obtained	
  by	
  the	
  soDware	
  can	
  be	
  assumed	
  valid.	
  Finally,	
  the	
  modular	
  units,	
  as	
  constructed	
  by	
  CBZ,	
  are	
  
tested	
  for	
  the	
  fire	
  stability	
  R60	
  with	
  RFEM.	
  
	
  
So/ware	
  Valida'on	
  
The	
  soDware	
  RFEM	
  is	
  validated	
  in	
  order	
  to	
  prove	
  the	
  results,	
  obtained	
  with	
  the	
  soDware,	
  are	
  representa3ve.	
  This	
  is	
  done	
  by	
  calcula3ng	
  three	
  
examples	
  by	
  using	
  the	
  formulas	
  from	
  NBN	
  XXX	
  and	
  aDerwards	
  working	
  out	
  the	
  same	
  examples	
  in	
  RFEM.	
  
	
  
Results	
  
Summary	
   Profiles	
   Rigid	
   Orthogonal	
  
Case	
  I	
   0,48	
  	
  (6)	
   0,27	
  (2)	
   0,18	
  (2)	
  
Case	
  II	
   0,97	
  (6)	
   0,27	
  (2)	
   0,28	
  (6)	
  
Case	
  III	
   2,06	
  (6)	
   0,27	
  (2)	
   0,45	
  (6)	
  
Case	
  IV	
   0,48	
  (6)	
   0,27	
  (2)	
   0,18	
  (2)	
  
Case	
  V	
   0,95	
  (6)	
   0,85	
  (1)	
   0,40	
  (1)	
  
Case	
  VI	
   2,94	
  (6)	
   1,51	
  (1)	
   0,71	
  (1)	
  
Case	
  VII	
   0,46	
  (6)	
   0,79	
  (6)	
   0,98	
  (6)	
  
Case	
  VIII	
   1,46	
  (6)	
   0,79	
  (6)	
   1,41	
  (6)	
  
Case	
  IX	
   0,47	
  (6)	
   0,42	
  (6)	
   1,03	
  (6)	
  
Case	
  X	
   1,49	
  (6)	
   1,12	
  (6)	
   1,68	
  (6)	
  
Summary	
  (Tie)	
   R15	
  (Manual)	
   R60	
  (Manual)	
   R15	
  (RFEM)	
   R60	
  (RFEM)	
  
Fire	
  load	
   346.03	
  kN	
   346.03	
  kN	
   346.05	
  kN	
   346.05	
  kN	
  
Plas3c	
  resistance	
   363.00	
  kN	
   363.00	
  kN	
   363.28	
  kN	
   363.28	
  kN	
  
Steel	
  temperature	
   695.00	
  °C	
   555.74	
  °C	
   700.541	
  °C	
   231.65	
  °C	
  
ky,θ	
   0.232	
   1.00	
   0.229	
   1.00	
  
Fire	
  resistance	
   84.216	
  kN	
   363.00	
  kN	
   83.32	
  kN	
   363.28	
  kN	
  
Valida3on	
   NOK	
   OK	
   NOK	
   OK	
  
	
  
Summary	
  (Beam	
  AB)	
   R60	
  (Manual)	
   R60	
  (RFEM)	
  
Bending	
  moment	
   262	
  kN	
   259.27	
  kN	
  
Shear	
  load	
   175	
  kN	
   218.32	
  kN	
  
Bending	
  resistance	
   280.5	
  kNm	
   280.23	
  kNm	
  
Shear	
  resistance	
   557.92	
  kN	
   557.89	
  kN	
  
Cri3cal	
  temperature	
   602°C	
   602°C	
  
Steel	
  temperature	
   597°C	
   584°C	
  
Reduc3on	
  factor	
  ky,θ	
   1	
   0.454	
  
Fire	
  resistance	
   280.5	
  kNm	
   127.11	
  kNm	
  
Valida3on	
   OK	
   NOK	
  
Summary	
   R60	
  (Manual)	
   R60	
  (RFEM)	
  
Fire	
  load	
   596.08	
  kN	
   596.21	
  kN	
  
Buckling	
  length	
   2.24	
  m	
   2.24	
  m	
  
Rela3ve	
  slenderness	
  at	
  ambient	
  
temperature	
  
0.56	
   0.565	
  
Steel	
  temperature	
  at	
  60	
  
minutes	
  
521.9°C	
   521.946°C	
  
Reduc3on	
  factor	
  ky,θ	
   0.712	
   0.712	
  
Reduc3on	
  factor	
  kE,θ	
   0.538	
   0.536	
  
Rela3ve	
  slenderness	
  at	
  60	
  
minutes	
  
0.66	
   0.65	
  
Imperfec3on	
  factor	
  α	
   0.60	
   0.601	
  
Reduc3on	
  factor	
  φ	
   0.92	
   0.907	
  
Reduc3on	
  factor	
  χ	
   0.64	
   0.65	
  
Fire	
  design	
  resistance	
   821.142	
  kN	
   830.11	
  kN	
  
Valida3on	
   OK	
   OK	
  
Master’s Thesis Engineering Technology
Supervisors / Cosupervisors:
Simon De Bruycker
Research into fire stability RF60
(according to Eurocode 3) of modular units
José Gouveia Henriques
Mark Brouwers
Master of Civil Engineering Technology Master of Civil Engineering Technology
2016-­‐2017	
  
Ruben Vaes
The	
  main	
  objec3ve	
  of	
  this	
  document	
  is	
  to	
  provide	
  the	
  reader	
  with	
  a	
  be=er	
  understanding	
  of	
  the	
  current	
  
methods	
  used	
  in	
  fire	
  design	
  for	
  steel	
  modular	
  units	
  according	
  to	
  the	
  European	
  Standard	
  Eurocode,	
  as	
  well	
  
as	
  to	
  use	
  this	
  informa3on	
  to	
  gain	
  more	
  insight	
  in	
  the	
  proper	
  use	
  of	
  the	
  soDware	
  RFEM	
  for	
  the	
  fire	
  stability	
  
calcula3ons.	
  	
  This	
  objec3ve	
  will	
  be	
  realised	
  by	
  carefully	
  analysing	
  the	
  background	
  of	
  a	
  fire	
  situa3on	
  and	
  its	
  
condi3ons.	
  	
  Various	
  models	
  can	
  be	
  designed	
  in	
  fire	
  situa3on,	
  giving	
  the	
  company	
  CBZ	
  in	
  Zutendaal-­‐Belgium	
  
the	
  op3on	
  to	
  do	
  so	
  for	
  all	
  modular	
  units	
  they	
  construct.	
  One	
  of	
  these	
  basic	
  modular	
  units	
  used	
  by	
  CBZ	
  will	
  
finally	
   be	
   analysed	
   in	
   this	
   document,	
   for	
   fire	
   stability	
   R60,	
   in	
   order	
   to	
   provide	
   CBZ	
   with	
   the	
   calcula3on	
  
methods	
  and	
  results.	
  By	
  doing	
  so,	
  this	
  document	
  will	
  serve	
  as	
  a	
  guide	
  for	
  engineers	
  that	
  use	
  RFEM.[1]	
  
	
  
Objec've	
  
Method	
  
An	
  analysis	
  of	
  the	
  concept	
  "fire	
  situa3on"	
  is	
  made	
  according	
  to	
  EN	
  1993-­‐1-­‐2.	
  The	
  backgrounds	
  of	
  the	
  
calcula3ons	
  are	
  explored	
  before	
  the	
  3D	
  structural	
  analysis	
  soDware	
  RFEM	
  is	
  validated.	
  This	
  is	
  done	
  by	
  working	
  
out	
  three	
  examples,	
  first	
  by	
  hand	
  and	
  then	
  with	
  the	
  calcula3on	
  soDware.	
  Once	
  the	
  soDware	
  is	
  validated	
  the	
  
results,	
  obtained	
  by	
  the	
  soDware	
  can	
  be	
  assumed	
  valid.	
  Finally,	
  the	
  modular	
  units,	
  as	
  constructed	
  by	
  CBZ,	
  are	
  
tested	
  for	
  the	
  fire	
  stability	
  R60	
  with	
  RFEM.	
  
	
  
So/ware	
  Valida'on	
  
The	
  soDware	
  RFEM	
  is	
  validated	
  in	
  order	
  to	
  prove	
  the	
  results,	
  obtained	
  with	
  the	
  soDware,	
  are	
  representa3ve.	
  This	
  is	
  done	
  by	
  calcula3ng	
  three	
  
examples	
  by	
  using	
  the	
  formulas	
  from	
  NBN	
  XXX	
  and	
  aDerwards	
  working	
  out	
  the	
  same	
  examples	
  in	
  RFEM.	
  
	
  
Results	
  
Summary	
   Profiles	
   Rigid	
   Orthogonal	
  
Case	
  I	
   0,48	
  	
  (6)	
   0,27	
  (2)	
   0,18	
  (2)	
  
Case	
  II	
   0,97	
  (6)	
   0,27	
  (2)	
   0,28	
  (6)	
  
Case	
  III	
   2,06	
  (6)	
   0,27	
  (2)	
   0,45	
  (6)	
  
Case	
  IV	
   0,48	
  (6)	
   0,27	
  (2)	
   0,18	
  (2)	
  
Case	
  V	
   0,95	
  (6)	
   0,85	
  (1)	
   0,40	
  (1)	
  
Case	
  VI	
   2,94	
  (6)	
   1,51	
  (1)	
   0,71	
  (1)	
  
Case	
  VII	
   0,46	
  (6)	
   0,79	
  (6)	
   0,98	
  (6)	
  
Case	
  VIII	
   1,46	
  (6)	
   0,79	
  (6)	
   1,41	
  (6)	
  
Case	
  IX	
   0,47	
  (6)	
   0,42	
  (6)	
   1,03	
  (6)	
  
Case	
  X	
   1,49	
  (6)	
   1,12	
  (6)	
   1,68	
  (6)	
  
Summary	
  (Tie)	
   R15	
  (Manual)	
   R60	
  (Manual)	
   R15	
  (RFEM)	
   R60	
  (RFEM)	
  
Fire	
  load	
   346.03	
  kN	
   346.03	
  kN	
   346.05	
  kN	
   346.05	
  kN	
  
Plas3c	
  resistance	
   363.00	
  kN	
   363.00	
  kN	
   363.28	
  kN	
   363.28	
  kN	
  
Steel	
  temperature	
   695.00	
  °C	
   555.74	
  °C	
   700.541	
  °C	
   231.65	
  °C	
  
ky,θ	
   0.232	
   1.00	
   0.229	
   1.00	
  
Fire	
  resistance	
   84.216	
  kN	
   363.00	
  kN	
   83.32	
  kN	
   363.28	
  kN	
  
Valida3on	
   NOK	
   OK	
   NOK	
   OK	
  
	
  
Summary	
  (Beam	
  AB)	
   R60	
  (Manual)	
   R60	
  (RFEM)	
  
Bending	
  moment	
   262	
  kN	
   259.27	
  kN	
  
Shear	
  load	
   175	
  kN	
   218.32	
  kN	
  
Bending	
  resistance	
   280.5	
  kNm	
   280.23	
  kNm	
  
Shear	
  resistance	
   557.92	
  kN	
   557.89	
  kN	
  
Cri3cal	
  temperature	
   602°C	
   602°C	
  
Steel	
  temperature	
   597°C	
   584°C	
  
Reduc3on	
  factor	
  ky,θ	
   1	
   0.454	
  
Fire	
  resistance	
   280.5	
  kNm	
   127.11	
  kNm	
  
Valida3on	
   OK	
   NOK	
  
Summary	
   R60	
  (Manual)	
   R60	
  (RFEM)	
  
Fire	
  load	
   596.08	
  kN	
   596.21	
  kN	
  
Buckling	
  length	
   2.24	
  m	
   2.24	
  m	
  
Rela3ve	
  slenderness	
  at	
  ambient	
  
temperature	
  
0.56	
   0.565	
  
Steel	
  temperature	
  at	
  60	
  
minutes	
  
521.9°C	
   521.946°C	
  
Reduc3on	
  factor	
  ky,θ	
   0.712	
   0.712	
  
Reduc3on	
  factor	
  kE,θ	
   0.538	
   0.536	
  
Rela3ve	
  slenderness	
  at	
  60	
  
minutes	
  
0.66	
   0.65	
  
Imperfec3on	
  factor	
  α	
   0.60	
   0.601	
  
Reduc3on	
  factor	
  φ	
   0.92	
   0.907	
  
Reduc3on	
  factor	
  χ	
   0.64	
   0.65	
  
Fire	
  design	
  resistance	
   821.142	
  kN	
   830.11	
  kN	
  
Valida3on	
   OK	
   OK	
  
The main objective of this document is to provide the reader with a
better understanding of the current methods used in structural fire design
for steel modular units according to the European Standard Eurocode, as
well as to use this information to gain more insight in the proper use of the
software RFEM for fire stability calculations.
First of all, a general analysis of a fire situation and its conditions is made. As
a next step, these conditions are applied on the modular units used by CBZ
(a construction company from Zutendaal, Belgium) in the RFEM software. One
of these basic modular units is analysed in this document for fire stability
R60. This in order to provide CBZ with the calculation methods and results.
By doing so, this document serves as a guide for engineers that use RFEM.
1. OBJECTIVE
An analysis of the concept “fire situation” is made according to EN 1993-1-2. The backgrounds of the calcu-
lations are explored before the 3D structural analysis software RFEM is validated. This is done by working out three
examples, first by hand and then with the calculation software. Once the software is validated, the results, obtained
by RFEM, are valid. Finally, the modular units, as constructed by CBZ, are tested for the fire stability R60 with RFEM.
2. METHOD
The software RFEM is validated in order to prove that the results, obtained with the software, are representative. This is done by
calculating three examples while using the formulas from EN 1993-1-2 and afterwards working out the same examples in RFEM.
3. SOFTWARE VALIDATION
When failures for the calculation of fire stability R60 do occur, it was
attempted to solve the problems. Two possible solutions are tested:
Improving the steel quality and adding extra supports.
This research also opens the opportunity for other researches. The
wall configuration for the models of the modular units can be further
improved. This can be done with an analysis of the load dispersion for
the wall build-up. Also , it can be useful to explore the influence of the
insulation on the fire resistance of some of the elements. This was not
possible to do for this research, due to the limitations of the software.
4. RESULTS & CONCLUSION
Summary	
  (Beam	
  AB)	
   R60	
  (Manual)	
   R60	
  (RFEM)	
  
Bending	
  moment	
   262	
  kN	
   259.27	
  kN	
  
Shear	
  load	
   175	
  kN	
   218.32	
  kN	
  
Bending	
  resistance	
   280.5	
  kNm	
   280.23	
  kNm	
  
Shear	
  resistance	
   557.92	
  kN	
   557.89	
  kN	
  
CriDcal	
  temperature	
   602°C	
   602°C	
  
Steel	
  temperature	
   597°C	
   584°C	
  
ReducDon	
  factor	
  ky,θ	
   1	
   0.454	
  
Fire	
  resistance	
   280.5	
  kNm	
   127.11	
  kNm	
  
ValidaDon	
   OK	
   NOK	
  
Summary	
   R60	
  (Manual)	
   R60	
  (RFEM)	
  
Fire	
  load	
   596.08	
  kN	
   596.21	
  kN	
  
Buckling	
  length	
   2.24	
  m	
   2.24	
  m	
  
Rela@ve	
  slenderness	
  at	
  ambient	
  
temperature	
  
0.56	
   0.565	
  
Steel	
  temperature	
  at	
  60	
  
minutes	
  
521.9°C	
   521.946°C	
  
Reduc@on	
  factor	
  ky,θ	
   0.712	
   0.712	
  
Reduc@on	
  factor	
  kE,θ	
   0.538	
   0.536	
  
Rela@ve	
  slenderness	
  at	
  60	
  
minutes	
  
0.66	
   0.65	
  
Imperfec@on	
  factor	
  α	
   0.60	
   0.601	
  
Reduc@on	
  factor	
  φ	
   0.92	
   0.907	
  
Reduc@on	
  factor	
  χ	
   0.64	
   0.65	
  
Fire	
  design	
  resistance	
   821.142	
  kN	
   830.11	
  kN	
  
Valida@on	
   OK	
   OK	
  
Summary	
  (Tie)	
   R15	
  (Manual)	
   R60	
  (Manual)	
   R15	
  (RFEM)	
   R60	
  (RFEM)	
  
Fire	
  load	
   346.03	
  kN	
   346.03	
  kN	
   346.05	
  kN	
   346.05	
  kN	
  
Plas;c	
  resistance	
   363.00	
  kN	
   363.00	
  kN	
   363.28	
  kN	
   363.28	
  kN	
  
Steel	
  temperature	
   695.00	
  °C	
   555.74	
  °C	
   700.541	
  °C	
   231.65	
  °C	
  
ky,θ	
   0.232	
   1.00	
   0.229	
   1.00	
  
Fire	
  resistance	
   84.216	
  kN	
   363.00	
  kN	
   83.32	
  kN	
   363.28	
  kN	
  
Valida;on	
   NOK	
   OK	
   NOK	
   OK	
  
E x . 1 : S t e e l t i e [1]
E x . 3 : S t e e l c o l u m n [1]
E x . 2 : S t e e l b e a m [1]
Table 1: Comparison hand-calculations
and RFEM results for a steel tie
Table 2: Comparison hand-calculations and
RFEM results for a steel beam
Table 3: Comparison hand-calculations and
RFEM results for a steel column
The results give a perspective on how the modular units, as constructed by CBZ, behave in a fire situation. Most of the tested
configurations have enough fire stability to reach a fire resistance of R60.
	
  
	
  
Summary	
   Profiles	
   Rigid	
   Orthogonal	
  
Case	
  I	
   0,48	
  	
  (6)	
   0,27	
  (2)	
   0,18	
  (2)	
  
Case	
  II	
   0,97	
  (6)	
   0,27	
  (2)	
   0,28	
  (6)	
  
Case	
  III	
   2,06	
  (6)	
   0,27	
  (2)	
   0,45	
  (6)	
  
Case	
  IV	
   0,48	
  (6)	
   0,27	
  (2)	
   0,18	
  (2)	
  
Case	
  V	
   0,95	
  (6)	
   0,85	
  (1)	
   0,40	
  (1)	
  
Case	
  VI	
   2,94	
  (6)	
   1,51	
  (1)	
   0,71	
  (1)	
  
Case	
  VII	
   0,46	
  (6)	
   0,79	
  (6)	
   0,98	
  (6)	
  
Case	
  VIII	
   1,46	
  (6)	
   0,79	
  (6)	
   1,41	
  (6)	
  
Case	
  IX	
   0,47	
  (6)	
   0,42	
  (6)	
   1,03	
  (6)	
  
Case	
  X	
   1,49	
  (6)	
   1,12	
  (6)	
   1,68	
  (6)	
  
Table 4: Comparison of the result for three types of walls
[1] C. –. A. P. d. C. M. e. Mista, Fire Guideline: Design and Examples, Portugal: Joana Albuquerque, 2015.

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Thesis Dlubal RFEM EC3 Fire UHasselt 2017

  • 1. Master’s Thesis Engineering Technology Supervisors / Cosupervisors: Simon De Bruycker Research into fire stability RF60 (according to Eurocode 3) of modular units José Gouveia Henriques Mark Brouwers Master of Civil Engineering Technology Master of Civil Engineering Technology 2016-­‐2017   Ruben Vaes The  main  objec3ve  of  this  document  is  to  provide  the  reader  with  a  be=er  understanding  of  the  current   methods  used  in  fire  design  for  steel  modular  units  according  to  the  European  Standard  Eurocode,  as  well   as  to  use  this  informa3on  to  gain  more  insight  in  the  proper  use  of  the  soDware  RFEM  for  the  fire  stability   calcula3ons.    This  objec3ve  will  be  realised  by  carefully  analysing  the  background  of  a  fire  situa3on  and  its   condi3ons.    Various  models  can  be  designed  in  fire  situa3on,  giving  the  company  CBZ  in  Zutendaal-­‐Belgium   the  op3on  to  do  so  for  all  modular  units  they  construct.  One  of  these  basic  modular  units  used  by  CBZ  will   finally   be   analysed   in   this   document,   for   fire   stability   R60,   in   order   to   provide   CBZ   with   the   calcula3on   methods  and  results.  By  doing  so,  this  document  will  serve  as  a  guide  for  engineers  that  use  RFEM.[1]     Objec've   Method   An  analysis  of  the  concept  "fire  situa3on"  is  made  according  to  EN  1993-­‐1-­‐2.  The  backgrounds  of  the   calcula3ons  are  explored  before  the  3D  structural  analysis  soDware  RFEM  is  validated.  This  is  done  by  working   out  three  examples,  first  by  hand  and  then  with  the  calcula3on  soDware.  Once  the  soDware  is  validated  the   results,  obtained  by  the  soDware  can  be  assumed  valid.  Finally,  the  modular  units,  as  constructed  by  CBZ,  are   tested  for  the  fire  stability  R60  with  RFEM.     So/ware  Valida'on   The  soDware  RFEM  is  validated  in  order  to  prove  the  results,  obtained  with  the  soDware,  are  representa3ve.  This  is  done  by  calcula3ng  three   examples  by  using  the  formulas  from  NBN  XXX  and  aDerwards  working  out  the  same  examples  in  RFEM.     Results   Summary   Profiles   Rigid   Orthogonal   Case  I   0,48    (6)   0,27  (2)   0,18  (2)   Case  II   0,97  (6)   0,27  (2)   0,28  (6)   Case  III   2,06  (6)   0,27  (2)   0,45  (6)   Case  IV   0,48  (6)   0,27  (2)   0,18  (2)   Case  V   0,95  (6)   0,85  (1)   0,40  (1)   Case  VI   2,94  (6)   1,51  (1)   0,71  (1)   Case  VII   0,46  (6)   0,79  (6)   0,98  (6)   Case  VIII   1,46  (6)   0,79  (6)   1,41  (6)   Case  IX   0,47  (6)   0,42  (6)   1,03  (6)   Case  X   1,49  (6)   1,12  (6)   1,68  (6)   Summary  (Tie)   R15  (Manual)   R60  (Manual)   R15  (RFEM)   R60  (RFEM)   Fire  load   346.03  kN   346.03  kN   346.05  kN   346.05  kN   Plas3c  resistance   363.00  kN   363.00  kN   363.28  kN   363.28  kN   Steel  temperature   695.00  °C   555.74  °C   700.541  °C   231.65  °C   ky,θ   0.232   1.00   0.229   1.00   Fire  resistance   84.216  kN   363.00  kN   83.32  kN   363.28  kN   Valida3on   NOK   OK   NOK   OK     Summary  (Beam  AB)   R60  (Manual)   R60  (RFEM)   Bending  moment   262  kN   259.27  kN   Shear  load   175  kN   218.32  kN   Bending  resistance   280.5  kNm   280.23  kNm   Shear  resistance   557.92  kN   557.89  kN   Cri3cal  temperature   602°C   602°C   Steel  temperature   597°C   584°C   Reduc3on  factor  ky,θ   1   0.454   Fire  resistance   280.5  kNm   127.11  kNm   Valida3on   OK   NOK   Summary   R60  (Manual)   R60  (RFEM)   Fire  load   596.08  kN   596.21  kN   Buckling  length   2.24  m   2.24  m   Rela3ve  slenderness  at  ambient   temperature   0.56   0.565   Steel  temperature  at  60   minutes   521.9°C   521.946°C   Reduc3on  factor  ky,θ   0.712   0.712   Reduc3on  factor  kE,θ   0.538   0.536   Rela3ve  slenderness  at  60   minutes   0.66   0.65   Imperfec3on  factor  α   0.60   0.601   Reduc3on  factor  φ   0.92   0.907   Reduc3on  factor  χ   0.64   0.65   Fire  design  resistance   821.142  kN   830.11  kN   Valida3on   OK   OK   Master’s Thesis Engineering Technology Supervisors / Cosupervisors: Simon De Bruycker Research into fire stability RF60 (according to Eurocode 3) of modular units José Gouveia Henriques Mark Brouwers Master of Civil Engineering Technology Master of Civil Engineering Technology 2016-­‐2017   Ruben Vaes The  main  objec3ve  of  this  document  is  to  provide  the  reader  with  a  be=er  understanding  of  the  current   methods  used  in  fire  design  for  steel  modular  units  according  to  the  European  Standard  Eurocode,  as  well   as  to  use  this  informa3on  to  gain  more  insight  in  the  proper  use  of  the  soDware  RFEM  for  the  fire  stability   calcula3ons.    This  objec3ve  will  be  realised  by  carefully  analysing  the  background  of  a  fire  situa3on  and  its   condi3ons.    Various  models  can  be  designed  in  fire  situa3on,  giving  the  company  CBZ  in  Zutendaal-­‐Belgium   the  op3on  to  do  so  for  all  modular  units  they  construct.  One  of  these  basic  modular  units  used  by  CBZ  will   finally   be   analysed   in   this   document,   for   fire   stability   R60,   in   order   to   provide   CBZ   with   the   calcula3on   methods  and  results.  By  doing  so,  this  document  will  serve  as  a  guide  for  engineers  that  use  RFEM.[1]     Objec've   Method   An  analysis  of  the  concept  "fire  situa3on"  is  made  according  to  EN  1993-­‐1-­‐2.  The  backgrounds  of  the   calcula3ons  are  explored  before  the  3D  structural  analysis  soDware  RFEM  is  validated.  This  is  done  by  working   out  three  examples,  first  by  hand  and  then  with  the  calcula3on  soDware.  Once  the  soDware  is  validated  the   results,  obtained  by  the  soDware  can  be  assumed  valid.  Finally,  the  modular  units,  as  constructed  by  CBZ,  are   tested  for  the  fire  stability  R60  with  RFEM.     So/ware  Valida'on   The  soDware  RFEM  is  validated  in  order  to  prove  the  results,  obtained  with  the  soDware,  are  representa3ve.  This  is  done  by  calcula3ng  three   examples  by  using  the  formulas  from  NBN  XXX  and  aDerwards  working  out  the  same  examples  in  RFEM.     Results   Summary   Profiles   Rigid   Orthogonal   Case  I   0,48    (6)   0,27  (2)   0,18  (2)   Case  II   0,97  (6)   0,27  (2)   0,28  (6)   Case  III   2,06  (6)   0,27  (2)   0,45  (6)   Case  IV   0,48  (6)   0,27  (2)   0,18  (2)   Case  V   0,95  (6)   0,85  (1)   0,40  (1)   Case  VI   2,94  (6)   1,51  (1)   0,71  (1)   Case  VII   0,46  (6)   0,79  (6)   0,98  (6)   Case  VIII   1,46  (6)   0,79  (6)   1,41  (6)   Case  IX   0,47  (6)   0,42  (6)   1,03  (6)   Case  X   1,49  (6)   1,12  (6)   1,68  (6)   Summary  (Tie)   R15  (Manual)   R60  (Manual)   R15  (RFEM)   R60  (RFEM)   Fire  load   346.03  kN   346.03  kN   346.05  kN   346.05  kN   Plas3c  resistance   363.00  kN   363.00  kN   363.28  kN   363.28  kN   Steel  temperature   695.00  °C   555.74  °C   700.541  °C   231.65  °C   ky,θ   0.232   1.00   0.229   1.00   Fire  resistance   84.216  kN   363.00  kN   83.32  kN   363.28  kN   Valida3on   NOK   OK   NOK   OK     Summary  (Beam  AB)   R60  (Manual)   R60  (RFEM)   Bending  moment   262  kN   259.27  kN   Shear  load   175  kN   218.32  kN   Bending  resistance   280.5  kNm   280.23  kNm   Shear  resistance   557.92  kN   557.89  kN   Cri3cal  temperature   602°C   602°C   Steel  temperature   597°C   584°C   Reduc3on  factor  ky,θ   1   0.454   Fire  resistance   280.5  kNm   127.11  kNm   Valida3on   OK   NOK   Summary   R60  (Manual)   R60  (RFEM)   Fire  load   596.08  kN   596.21  kN   Buckling  length   2.24  m   2.24  m   Rela3ve  slenderness  at  ambient   temperature   0.56   0.565   Steel  temperature  at  60   minutes   521.9°C   521.946°C   Reduc3on  factor  ky,θ   0.712   0.712   Reduc3on  factor  kE,θ   0.538   0.536   Rela3ve  slenderness  at  60   minutes   0.66   0.65   Imperfec3on  factor  α   0.60   0.601   Reduc3on  factor  φ   0.92   0.907   Reduc3on  factor  χ   0.64   0.65   Fire  design  resistance   821.142  kN   830.11  kN   Valida3on   OK   OK   The main objective of this document is to provide the reader with a better understanding of the current methods used in structural fire design for steel modular units according to the European Standard Eurocode, as well as to use this information to gain more insight in the proper use of the software RFEM for fire stability calculations. First of all, a general analysis of a fire situation and its conditions is made. As a next step, these conditions are applied on the modular units used by CBZ (a construction company from Zutendaal, Belgium) in the RFEM software. One of these basic modular units is analysed in this document for fire stability R60. This in order to provide CBZ with the calculation methods and results. By doing so, this document serves as a guide for engineers that use RFEM. 1. OBJECTIVE An analysis of the concept “fire situation” is made according to EN 1993-1-2. The backgrounds of the calcu- lations are explored before the 3D structural analysis software RFEM is validated. This is done by working out three examples, first by hand and then with the calculation software. Once the software is validated, the results, obtained by RFEM, are valid. Finally, the modular units, as constructed by CBZ, are tested for the fire stability R60 with RFEM. 2. METHOD The software RFEM is validated in order to prove that the results, obtained with the software, are representative. This is done by calculating three examples while using the formulas from EN 1993-1-2 and afterwards working out the same examples in RFEM. 3. SOFTWARE VALIDATION When failures for the calculation of fire stability R60 do occur, it was attempted to solve the problems. Two possible solutions are tested: Improving the steel quality and adding extra supports. This research also opens the opportunity for other researches. The wall configuration for the models of the modular units can be further improved. This can be done with an analysis of the load dispersion for the wall build-up. Also , it can be useful to explore the influence of the insulation on the fire resistance of some of the elements. This was not possible to do for this research, due to the limitations of the software. 4. RESULTS & CONCLUSION Summary  (Beam  AB)   R60  (Manual)   R60  (RFEM)   Bending  moment   262  kN   259.27  kN   Shear  load   175  kN   218.32  kN   Bending  resistance   280.5  kNm   280.23  kNm   Shear  resistance   557.92  kN   557.89  kN   CriDcal  temperature   602°C   602°C   Steel  temperature   597°C   584°C   ReducDon  factor  ky,θ   1   0.454   Fire  resistance   280.5  kNm   127.11  kNm   ValidaDon   OK   NOK   Summary   R60  (Manual)   R60  (RFEM)   Fire  load   596.08  kN   596.21  kN   Buckling  length   2.24  m   2.24  m   Rela@ve  slenderness  at  ambient   temperature   0.56   0.565   Steel  temperature  at  60   minutes   521.9°C   521.946°C   Reduc@on  factor  ky,θ   0.712   0.712   Reduc@on  factor  kE,θ   0.538   0.536   Rela@ve  slenderness  at  60   minutes   0.66   0.65   Imperfec@on  factor  α   0.60   0.601   Reduc@on  factor  φ   0.92   0.907   Reduc@on  factor  χ   0.64   0.65   Fire  design  resistance   821.142  kN   830.11  kN   Valida@on   OK   OK   Summary  (Tie)   R15  (Manual)   R60  (Manual)   R15  (RFEM)   R60  (RFEM)   Fire  load   346.03  kN   346.03  kN   346.05  kN   346.05  kN   Plas;c  resistance   363.00  kN   363.00  kN   363.28  kN   363.28  kN   Steel  temperature   695.00  °C   555.74  °C   700.541  °C   231.65  °C   ky,θ   0.232   1.00   0.229   1.00   Fire  resistance   84.216  kN   363.00  kN   83.32  kN   363.28  kN   Valida;on   NOK   OK   NOK   OK   E x . 1 : S t e e l t i e [1] E x . 3 : S t e e l c o l u m n [1] E x . 2 : S t e e l b e a m [1] Table 1: Comparison hand-calculations and RFEM results for a steel tie Table 2: Comparison hand-calculations and RFEM results for a steel beam Table 3: Comparison hand-calculations and RFEM results for a steel column The results give a perspective on how the modular units, as constructed by CBZ, behave in a fire situation. Most of the tested configurations have enough fire stability to reach a fire resistance of R60.     Summary   Profiles   Rigid   Orthogonal   Case  I   0,48    (6)   0,27  (2)   0,18  (2)   Case  II   0,97  (6)   0,27  (2)   0,28  (6)   Case  III   2,06  (6)   0,27  (2)   0,45  (6)   Case  IV   0,48  (6)   0,27  (2)   0,18  (2)   Case  V   0,95  (6)   0,85  (1)   0,40  (1)   Case  VI   2,94  (6)   1,51  (1)   0,71  (1)   Case  VII   0,46  (6)   0,79  (6)   0,98  (6)   Case  VIII   1,46  (6)   0,79  (6)   1,41  (6)   Case  IX   0,47  (6)   0,42  (6)   1,03  (6)   Case  X   1,49  (6)   1,12  (6)   1,68  (6)   Table 4: Comparison of the result for three types of walls [1] C. –. A. P. d. C. M. e. Mista, Fire Guideline: Design and Examples, Portugal: Joana Albuquerque, 2015.