Table 5 Material safety factors for Marshall’s cross section (Figure 6a) Probability Standard fire [17] Natural Parametric fires [17] – of failure Moment Minimum moment Safety factor Minimum moment Safety factor Safety factor for γΜ,fi Pf Capacity(kNm) after Capacity(kNm) and for slow Capacity(kNm) and for fast γΜ,fi γΜ,fi standard fire exposure safety factor for slow fire safety factor for fast fire time of fire fire 30 minutes 60 30 60 minutes minutes minutes 10-1 58.64 28.02 1.52 1.58 21.22 1.59 28.97 1.55 10-2 35.13 15.33 2.54 2.89 11.63 2.90 16.15 2.78 10-3 24.66 8.01 3.62 5.53 6.08 5.55 8.26 5.44 Mfi,LT 89.34 44.37 33.74 44.91 Material model [8] Table 6 Material safety factors for Armley’s cross section (Figure 6b) Probability Standard fire [17] Natural Parametric fires [17] – of failure Moment Moment Safety factor Minimum moment Safety factor Safety factor for γΜ,fi Pf Capacity(kNm) after Capacity(kNm) after for Capacity(kNm) and for fast γΜ,fi γΜ,fi standard fire exposure natural fire exposure slow fire safety factor for fast fire time of time for minimum fire moment capacity of 30 60 minutes 30 minutes 60 minutes minutes 10-1 421.40 251.09 1.40 1.51 233.87 1.51 260.35 1.50 10-2 304.10 140.42 1.94 2.70 128.42 2.75 144.64 2.70 10-3 209.95 76.91 2.81 4.93 71.06 4.97 79.54 4.91 Mfi,LT 589.96 379.15 353.15 390.52 Material model [8] Table 7 Material safety factors for Shaw’s G cross section (Figure 6c) Probability Standard fire [17] Natural Parametric fires [17] – of failure Moment for Moment Safety factor γΜ,fi Pf Capacity(kNm) after Capacity(kNm) after
Table 5 Material safety factors for Marshall’s cross section (Figure 6a) Probability of failure Pf Standard fire [17] Natural – Parametric fires [17] Moment Capacity(kNm) after standard fire exposure time of Safety factor γΜ,fi for Minimum moment Capacity(kNm) and safety factor for slow fire Safety factor γΜ,fi for slow fire Minimum moment Capacity(kNm) and safety factor for fast fire Safety factor γΜ,fi for fast fire 30 minutes 60 minutes 30 minutes 60 minutes 10-1 58.64 28.02 1.52 1.58 21.22 1.59 28.97 1.55 10-2 35.13 15.33 2.54 2.89 11.63 2.90 16.15 2.78 10-3 24.66 8.01 3.62 5.53 6.08 5.55 8.26 5.44 Mfi,LT Material model [8] 89.34 44.37 33.74 44.91 Table 6 Material safety factors for Armley’s cross section (Figure 6b) Probability of failure Pf Standard fire [17] Natural – Parametric fires [17] Moment Capacity(kNm) after standard fire exposure time of Safety factor γΜ,fi for Moment Capacity(kNm) after natural fire exposure time for minimum moment capacity of Safety factor γΜ,fi for slow fire Minimum moment Capacity(kNm) and safety factor for fast fire Safety factor γΜ,fi for fast fire 30 minutes 60 minutes 30 minutes 60 minutes 10-1 421.40 251.09 1.40 1.51 233.87 1.51 260.35 1.50 10-2 304.10 140.42 1.94 2.70 128.42 2.75 144.64 2.70 10-3 209.95 76.91 2.81 4.93 71.06 4.97 79.54 4.91 Mfi,LT Material model [8] 589.96 379.15 353.15 390.52 Table 7 Material safety factors for Shaw’s G cross section (Figure 6c) Probability of failure Pf Standard fire [17] Natural – Parametric fires [17] Moment Capacity(kNm) after Safety factor γΜ,fi for Moment Capacity(kNm) after
Reliability_manuscript_R2.docx