Example: Parametric fire curve for a fire compartment

Transcription

1 Documen Ref: SX04a-EN-EU Shee 1 of 5 Tile Eurocode Ref EN :00 Made by Z Sokol Dae Jan 006 Checked by F Wald Dae Jan 006 Example: Parameric fire curve for a fire comparmen This example shows he deerminaion of he parameric fire curve for a fire comparmen in an office building, according o nnex of EN The walls and he floors above and below he comparmen are of reinforced concree; he walls have several openings. Reference is made o SD006 for he hermal properies of he walls and floors. Basic daa Dimensions of he fire comparmen widh: a 8,5 m lengh: b 10,0 m heigh: h 3,15 m Creaed on Thursday, March, 007 This maerial is copyrigh - all righs reserved. Use of his documen is subjec o he erms and condiions of he ccess Seel Licence greemen heigh of opening h op 1,537 m widh of opening b op 3,85 m number of openings n 4; see Figure 1. a 8,5 m b 10,0 m h op 1,537 m b op 3,85 m Figure 1: Considered fire comparmen The floor and ceiling are made from reinforced concree densiy ρ 300 kg m -3 specific hea c 840 J kg -1 K -1 hermal conduciviy λ 1,57 W m -1 K -1 The walls are made from lighweigh concree densiy ρ 500 kg m -3 specific hea c 840 J kg -1 K -1 hermal conduciviy λ 0, W m -1 K -1 h 3,15 m SD006 SD006

2 Documen Ref: SX04a-EN-EU Shee of 5 Tile Eurocode Ref EN :00 Made by Z Sokol Dae Jan 006 Checked by F Wald Dae Jan 006 Fire load densiy For office buildings, he characerisic fire load densiy relaed o floor area, for he 80% fracile case (Gumbel disribuion) is given by Table E.4 as: q f,k 511 MJ m - EN nnex E Table E.4 The floor area is f a b 8,5 10,0 85 m The facor o ake ino accoun he fire acivaion risk due o he size of he comparmen is given by linear inerpolaion from Table E.1: ( 15, + 11, ) ( 85 5) / ( 50 5) 10 δq1 11, +, EN nnex E Table E.1 Creaed on Thursday, March, 007 This maerial is copyrigh - all righs reserved. Use of his documen is subjec o he erms and condiions of he ccess Seel Licence greemen For he facor o ake ino accoun he fire acivaion risk due o he ype of occupancy δ q 1,00. The facor o ake ino accoun he differen fire fighing measures δ n 1,00 The design fire load densiy is given by: q f,d q f,k δ q1 δ q δ n 511 1,0 1,00 1, MJ m Thermal properies of he fire comparmen The oal area of he enclosure is: f ( a + b) 85 + ( 8,5 + 10,0) 3,15 86,55 m + h The oal area of verical openings is: v n h b op op 4 1,537 3,85 3,67 m The surface facor for floor and ceiling is: b ρ c λ , J m The surface facor for walls is: b ρ c λ , 304 J m Boh values are wihin he limi 100 b s - s -0,5-0,5 K K 1 1 EN nnex

3 Documen Ref: SX04a-EN-EU Shee 3 of 5 Tile Eurocode Ref EN :00 Made by Z Sokol Dae Jan 006 Checked by F Wald Dae Jan 006 The resuling surface facor is ( bi i ) b v ( ( 8,5 + 10,0) 3,15 3,67) , J m s K 86,55 3,67 Venilaion properies of he fire comparmen The opening facor is: Creaed on Thursday, March, 007 This maerial is copyrigh - all righs reserved. Use of his documen is subjec o he erms and condiions of he ccess Seel Licence greemen O v h eq 3,67 1,537 86,55 0,104 m where he weighed average heigh of he openings h eq 1,537 m. The opening facor should be wihin he limis 0,0 O 0, [m 0,5 ]. The limiaion is saisfied. Time facor funcion The Γ facor is given by: Γ O b 0, , 134 0, , 791 Fire load densiy relaed o surface area The design fire load densiy relaed o he surface area is given by: q q f,d f, d 181,8 MJ m 86,55 0,5 EN nnex (3)

4 Documen Ref: SX04a-EN-EU Shee 4 of 5 Tile Eurocode Ref EN :00 Made by Z Sokol Dae Jan 006 Checked by F Wald Dae Jan 006 Evaluaion of he limiing ime and maximum emperaure Medium fire growh rae is expeced, wih lim 0 min 0,333 hour. The ime max o reach he maximum emperaure is given by: 0, 10 max O lim 3 q,d 3 0, ,8 max 0,104 0,333 max 0,355 hour The fire is venilaion-conrolled. because max is given by he firs erm. The ime o reach maximum emperaure, aking accoun of he openings and hermal absorpiviy, is given by: max max max Γ 0,355 5,791,056 hour and he maximum gas emperaure is given by: θ max C The curve in he heaing phase 0,,056 1,7,056 19,056 ( 1 0,34 e 0,04 e 0,47 e ) The gas emperaure in he heaing phase is given by 0, 1,7 θ g, ,34 e 0,04 e 0, 47 e where he ime is given by: Γ 5, 791 The curve in he cooling phase 19 For max > hours, he gas emperaure in he cooling phase is given by: θ g, θ max ( max x) (,056 1) where he facor x 1 for a venilaion-conrolled fire. The resuling parameric curve is shown in Figure. Creaed This on Thursday, March, 007 maerial is copyrigh - all righs reserved. Use of his documen is subjec o he erms and condiions of he ccess Seel Licence greemen

5 C r e a e d o n T h u r s d a y, M a r T h i s m a e r i a l i s c o p y r i g E x a m p l e : P a r a m e r θ [ C] θ g, Documen Ref: SX04a-EN-EU Shee 5 of 5 Tile Eurocode Ref EN :00 Made by Z Sokol Dae Jan 006 Checked by F Wald Dae Jan Figure : Gas emperaure-ime curve 10 [min]

6 SX04a-EN-EU Qualiy Record RESOURCE TITLE Reference(s) ORIGINL DOCUMENT Name Company Dae Creaed by Z. Sokol CTU Prague 07/06/006 Technical conen checked by F. Wald CTU Prague 07/06/006 Ediorial conen checked by Technical conen endorsed by he following STEEL Parners: 1. UK G W Owens SCI 31/5/06. France Bureau CTICM 31/5/06 3. Sweden B Uppfeld SBI 31/5/06 Creaed on Thursday, March, 007 This maerial is copyrigh - all righs reserved. Use of his documen is subjec o he erms and condiions of he ccess Seel Licence greemen 4. Germany C Müller RWTH 31/5/06 5. Spain J Chica Labein 31/5/06 6. Luxembourg M Haller PRE 31/5/06 Resource approved by Technical Coordinaor G W Owens SCI 1/9/06 Page 6