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ECP-201
Egyptian Code for Loads
Prepared By
Eng: Mohamed Ismail Kotb
Email: m.ismailkotb@gmial.com
Tel: 01121549164
Eng. Mohamed Ismail Kotb
Eng. Mohamed Ismail Kotb
Chapter(2) Outlines
Definitions of Loads
Load Combinations Concepts
Load Combinations (ASD & LRFD)
LRFD Method
Resistance Concepts in LRFD
Reliability and LRFD Specification
Eng. Mohamed Ismail Kotb
Chapter(2) LRFD Method
 General Equation for LRFD Method
All the computation for factored resistance and factored load shall be in accordance with the following equation.
ø: resistance factor
∅ 𝑹𝒏 ≥ ෍ ∝𝒊 𝑸𝒊
Qi: Load effect
Rn: Nominal resistance α: Load factors
Pu: Factored Load
Increase in Load effect ≥ 1
Pu=1.2 PDL +1.6 PLL
Pu
PD
PD: Factored Design Strength
Reduction in strength <1
PD= ø Pn =0.9 Pn
Eng. Mohamed Ismail Kotb
Chapter (2) Resistance Concepts
Eng. Mohamed Ismail Kotb
Chapter (2) Resistance Concepts
Eng. Mohamed Ismail Kotb
Resistance Concepts
 Q and R are assumed statistically independent random variables
 R is sometimes < Q ln
𝑅
𝑄
< 0
 To differentiate between R < Q & R >Q Use ln
𝑅
𝑄
 ∅ = (
𝑹𝒎
𝑹𝒏
)𝒆(−𝟎.𝟓𝟓𝜷𝑽𝑹)
 Where:
 Rm mean resistance
 Rn nominal resistance
 VR Coefficient of variation of the resistance
 LRFD target is to satisfy the following condition
Factored Resistance ≥ Factored Loads
Ф Pn ≥ Pu
Eng. Mohamed Ismail Kotb
Resistance Concepts
 Reliability, is referred to the estimated percentage of times that the
resistance of a structure will equal or exceed the maximum loading
combination applied to the structure during its estimated life (say 50
years)
 Usually steel structures are designed to be 99.7% reliable, then only a
probability of 0.3% the strength will be lower than the applied loads, but
it doesn’t mean failure !!!
 The typical distribution of the Resistance (R) of a member and the
applied loads (Q) are varied and as shown to be normal distribution
Eng. Mohamed Ismail Kotb
Resistance Concepts
 β : reliability Index = number of standard deviations from the mean
Where;
Rm is the mean value for resistance
Qm is the mean value for Load
VR is the coefficients of variation for resistance (𝑉𝑅 =
𝜎𝑅
𝑅𝑚
)
VQ is the coefficients of variation for Load (𝑉𝑄 =
𝜎𝑄
𝑄𝑚
)
Eng. Mohamed Ismail Kotb
Resistance Concepts
 The recommended common load factors, as developed for the ANSI load code, were based o the load statistics
given in Table 1,
 A sampling of the data for hot-rolled steel structural members is given in Tables 2, 3, and 4.
Eng. Mohamed Ismail Kotb
Resistance Concepts
 A sampling of the data for hot-rolled steel structural members is given in Tables 2, 3, and 4.
Eng. Mohamed Ismail Kotb
Resistance Concepts
 Where Ф-1 is the inverse standard normal distribution function.
 Table 1 show the probability of failure corresponding to
different reliability indices.
Eng. Mohamed Ismail Kotb
Resistance Concepts
 β : reliability Index = number of standard deviations from the mean
 β = 1.75 for member subjected to gravity loads and earthquake loads
 β = 2.50 for member subjected to gravity loads and wind loads
 β = 3.00 for members subjected to gravity loads
 β = 4.50 for connections (bolts and weld)
When (β is larger, the probability of exceeding the limit state is smaller, i.e., the "reliability"
is increased; the converse is true when β decreases
 Therefore the resistance factors (Ф) for different members and load factors for different load
combinations are adjusted accordingly to be as mentioned before.
Eng. Mohamed Ismail Kotb
Resistance Concepts
Example(2):
Obtain ø by using reliability index=2 For IPE300 (Zx=628 cm3) is tested in the lab using 20 samples for the
moment resistance the resistance are shown in the following table:
Solution:-
Rm=σ Τ
𝑅
𝑛 = 16.5𝑚. 𝑡
Rn= fy Zx=2.4 x 628/100 = 15.07m.t
Rm/Rn=16.5/15.07=1.0977
𝜎 = ෍
(𝑅 − 𝑅𝑚)2
𝑛
` = 2.6553 𝑚. 𝑡
𝑉𝑅 =
𝜎
𝑅𝑚
= 0.160494
∅ = (
𝑹𝒎
𝑹𝒏
)𝒆(−𝟎.𝟓𝟓𝜷𝑽𝑹)
=0.92
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
M
m.t
15.2 18.3 17.2 18 17.9 13.8 16.2 17.2 21 9 16.7 17.9 18.1 16.5 13.7 19.7 19.2 15.1 13.6 16.7
ø
β
Eng. Mohamed Ismail Kotb
REFERENCES
1- Egyptian code for loads 2012 (ECP-201)
2- Egyptian code for RC 2020 (ECP-203)
3- Egyptian code for STEEL ASD 2007 (ECP-205)
4- Egyptian code for STEEL LRFD 2007 (ECP-205)
5- STEEL DESIGN METHOD LECTURES BY PROF. SHEHAB MOURAD
6-Load and Resistance Factor Design Research by THEODORE V. GALAMBOS
Eng. Mohamed Ismail Kotb
Eng. Mohamed Ismail Kotb

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Reliability and LRFD Specification شرح الكود المصرى للأحمال ECP-201_ Ch.2 _Lecture 5.pdf

  • 1. ECP-201 Egyptian Code for Loads Prepared By Eng: Mohamed Ismail Kotb Email: m.ismailkotb@gmial.com Tel: 01121549164 Eng. Mohamed Ismail Kotb
  • 3. Chapter(2) Outlines Definitions of Loads Load Combinations Concepts Load Combinations (ASD & LRFD) LRFD Method Resistance Concepts in LRFD Reliability and LRFD Specification Eng. Mohamed Ismail Kotb
  • 4. Chapter(2) LRFD Method  General Equation for LRFD Method All the computation for factored resistance and factored load shall be in accordance with the following equation. ø: resistance factor ∅ 𝑹𝒏 ≥ ෍ ∝𝒊 𝑸𝒊 Qi: Load effect Rn: Nominal resistance α: Load factors Pu: Factored Load Increase in Load effect ≥ 1 Pu=1.2 PDL +1.6 PLL Pu PD PD: Factored Design Strength Reduction in strength <1 PD= ø Pn =0.9 Pn Eng. Mohamed Ismail Kotb
  • 5. Chapter (2) Resistance Concepts Eng. Mohamed Ismail Kotb
  • 6. Chapter (2) Resistance Concepts Eng. Mohamed Ismail Kotb
  • 7. Resistance Concepts  Q and R are assumed statistically independent random variables  R is sometimes < Q ln 𝑅 𝑄 < 0  To differentiate between R < Q & R >Q Use ln 𝑅 𝑄  ∅ = ( 𝑹𝒎 𝑹𝒏 )𝒆(−𝟎.𝟓𝟓𝜷𝑽𝑹)  Where:  Rm mean resistance  Rn nominal resistance  VR Coefficient of variation of the resistance  LRFD target is to satisfy the following condition Factored Resistance ≥ Factored Loads Ф Pn ≥ Pu Eng. Mohamed Ismail Kotb
  • 8. Resistance Concepts  Reliability, is referred to the estimated percentage of times that the resistance of a structure will equal or exceed the maximum loading combination applied to the structure during its estimated life (say 50 years)  Usually steel structures are designed to be 99.7% reliable, then only a probability of 0.3% the strength will be lower than the applied loads, but it doesn’t mean failure !!!  The typical distribution of the Resistance (R) of a member and the applied loads (Q) are varied and as shown to be normal distribution Eng. Mohamed Ismail Kotb
  • 9. Resistance Concepts  β : reliability Index = number of standard deviations from the mean Where; Rm is the mean value for resistance Qm is the mean value for Load VR is the coefficients of variation for resistance (𝑉𝑅 = 𝜎𝑅 𝑅𝑚 ) VQ is the coefficients of variation for Load (𝑉𝑄 = 𝜎𝑄 𝑄𝑚 ) Eng. Mohamed Ismail Kotb
  • 10. Resistance Concepts  The recommended common load factors, as developed for the ANSI load code, were based o the load statistics given in Table 1,  A sampling of the data for hot-rolled steel structural members is given in Tables 2, 3, and 4. Eng. Mohamed Ismail Kotb
  • 11. Resistance Concepts  A sampling of the data for hot-rolled steel structural members is given in Tables 2, 3, and 4. Eng. Mohamed Ismail Kotb
  • 12. Resistance Concepts  Where Ф-1 is the inverse standard normal distribution function.  Table 1 show the probability of failure corresponding to different reliability indices. Eng. Mohamed Ismail Kotb
  • 13. Resistance Concepts  β : reliability Index = number of standard deviations from the mean  β = 1.75 for member subjected to gravity loads and earthquake loads  β = 2.50 for member subjected to gravity loads and wind loads  β = 3.00 for members subjected to gravity loads  β = 4.50 for connections (bolts and weld) When (β is larger, the probability of exceeding the limit state is smaller, i.e., the "reliability" is increased; the converse is true when β decreases  Therefore the resistance factors (Ф) for different members and load factors for different load combinations are adjusted accordingly to be as mentioned before. Eng. Mohamed Ismail Kotb
  • 14. Resistance Concepts Example(2): Obtain ø by using reliability index=2 For IPE300 (Zx=628 cm3) is tested in the lab using 20 samples for the moment resistance the resistance are shown in the following table: Solution:- Rm=σ Τ 𝑅 𝑛 = 16.5𝑚. 𝑡 Rn= fy Zx=2.4 x 628/100 = 15.07m.t Rm/Rn=16.5/15.07=1.0977 𝜎 = ෍ (𝑅 − 𝑅𝑚)2 𝑛 ` = 2.6553 𝑚. 𝑡 𝑉𝑅 = 𝜎 𝑅𝑚 = 0.160494 ∅ = ( 𝑹𝒎 𝑹𝒏 )𝒆(−𝟎.𝟓𝟓𝜷𝑽𝑹) =0.92 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 M m.t 15.2 18.3 17.2 18 17.9 13.8 16.2 17.2 21 9 16.7 17.9 18.1 16.5 13.7 19.7 19.2 15.1 13.6 16.7 ø β Eng. Mohamed Ismail Kotb
  • 15. REFERENCES 1- Egyptian code for loads 2012 (ECP-201) 2- Egyptian code for RC 2020 (ECP-203) 3- Egyptian code for STEEL ASD 2007 (ECP-205) 4- Egyptian code for STEEL LRFD 2007 (ECP-205) 5- STEEL DESIGN METHOD LECTURES BY PROF. SHEHAB MOURAD 6-Load and Resistance Factor Design Research by THEODORE V. GALAMBOS Eng. Mohamed Ismail Kotb