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BALLOON + JET ENGINE. = QUALITATIVELY NEW TRANSPORTATION MEAN ???????. NO !. PARTIAL FACTORS METHOD + COMPUTERS. such as EC or LRFD. = QUALITATIVELY NEW STRUCTURAL RELIABILITY ASSESSMENT CONCEPT ?????. COMPUTERS. NO !. PROBABILISTIC METHOD
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BALLOON + JET ENGINE = QUALITATIVELY NEW TRANSPORTATION MEAN ??????? NO !
PARTIAL FACTORS METHOD +COMPUTERS such as EC or LRFD = QUALITATIVELY NEW STRUCTURAL RELIABILITY ASSESSMENT CONCEPT ????? COMPUTERS NO !
PROBABILISTIC METHOD (such as SBRA) +COMPUTERS = QUALITATIVELY NEW STRUCTURAL RELIABILITY ASSESSMENT CONCEPT ??? YES!
SBRA • Input variables are expressed by bounded non-parametric histograms. • Reliability function is analyzed by the designer using Monte Carlo method. • Reliability is expressed by Pf < Pd, where Pf is the probability of failure and Pd is the target probability given in codes. R – S = 0 Pf = Σ/ Σ< Pd
What is the Load Duration Curve (LDC)? Loading History ‚Sorted‘ History LDC
Load Duration Curves, LDC, and corresponding Histograms Short Dead Wind Long
Two - and More -Component Load Duration Curves Wind Rosette Wind Directon and Wind Velocity
One-component Load Effect Combination Analysis using Monte Carlo technique and ResCom computer program
Probability of Failure Pf 0.001 EC3 LRFD 0.0001 0.00001 SBRA 0.000001 estimate
SBRA Dead + Long-Lasting Dead +Short-Lasting
x - x N, Mx, My Combination of multi-component load effects Each Load Effect is expressed, for example, by N, Mx and My
R Resistance R S Load Effect Combination S R - S = 0
Definition of the Resistance P „Reference Level“ ??? USEABILITY
Reference levels a) Onset of yielding b) Tolerable permanent deflection USEFULLNESS d) Formation of the full plastic hinge c) Limited Damage Non-tolerable permanent deflection
Yield stress Ffy Cross-section area F Avar Initial eccentricity Feo Effect of residual stresses FResvar Column Resistance: Variables Variabilities of yield stress, cross-section area, initial eccentricity and effect of residual stresses are expressed by bounded histograms:
Stress (N.mm-2) Slenderness ratio Variables: fy, eo, A, ..
Safety Assessment Using the Probabilistic Simulation-Based Reliability Assessment Concept 1
Steel beam exposed to a combination of loads Load Duration Curves and corresponding Histograms
Safety check of the steel beam (Pf,saf = 0,00003 < Pd,saf = 0,00007)
Serviceability Assessment Using the Probabilistic Simulation-Based Reliability Assessment Concept 1
Basic alternatives of serviceability reliability conditions (Cases 1 to 25)
Steel beam exposed to a combination of loads Load Duration Curves and corresponding Histograms
Serviceability Assessment of a steel beam Application of a ‘blurred’ serviceability limiting value
EXAMPLE 2 Frame containing leaning columns SF= DELtol - DEL( DELtol = 30 mm ) DEL Serviceability assessment Pf = 0.037 < Pd= 0.070 O.K.
Durability Assessment Using the Probabilistic Simulation-Based Reliability Assessment Concept 1
Hypercomputers andmore PENTIUM PC XT 1 MIPS 5 102 MIPS > 10 GIPS
How will look like the new generation of specifications and design tools?
SUMMARY AND CONCLUSIONS • Impact of computer technology • Reengineering of the design procedure • Application of powerful simulation techniques in designer‘s work • From Components to Systems • New generation of specifications, application of databases and information technology • Education of designers:From deterministic to probabilistic ‘way of thinking‘