Lecture2 Introduction - before lecture.pdf

Lecture2 Introduction - before lecture.pdf - Engineering...

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Engineering Design of Concrete & Masonry Structures Dr. Ye Lu Lecture #2 (week 1) CIV3284
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Methods of analysis and design (Part 2) Simplified Method of Analysis of Continuous Beams Next: (Chapter 2)
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Strength Check Is the structure strong enough ? Serviceability Check Is the structure stiff enough? Strength and Serviceability Check
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Strength Strength varies between batches Histogram 0 10 20 30 40 50 60 70 80 40 45 50 55 60 65 70 Strength (MPa) Number of Specimens
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Strength Probability Mean, f cm f ' c f ' c = Characteristic Strength f cm = Mean Strength 5% Strength Characteristic Strength : 95% of tested specimens would have a strength higher than this value
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Loads Loads Probability Mean Load Characteristic Load Characteristic Load : 95% of the load applied on the structure during the life of service would be lower than this value. 95%
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Which one is correct? A. f cm = 40 MPa and f ' c = 45 MPa B. f cm = 40 MPa and f ' c = 40 MPa C. f cm = 45 MPa and f ' c = 40 MPa A. Characteristic Load > Mean Load B. Characteristic Load = Mean Load C. Characteristic Load < Mean Load
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Probability density Resistance < Effect =Collapse Magnitude (load effect E or resistance R) Limit State Design
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  • Three '13
  • FrankCollins&YuBai
  • Probability theory, Tensile strength, Serviceability Check

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