General Design Chart and Design Table to EBCS EN :2014

Transcription

1 General Design Chart an Design Table to EBCS EN :014 isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair is baba University is baba, Ethiopia

2 General Design Chart an Design Table to EBCS EN : Strength an eormation characteristics or concrete Table 1-1 Strength an eormation characteristics or concrete Strength classes or concrete Class 1/15 1/0 0/5 c (Pa) cu (Pa) ctm (Pa) Ecm (GPa) εc εcu n 5/ / / / / / / / / / / Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 1

3 General Design Chart an Design Table to EBCS EN :014 Reinorcing steel tension strain limit B Concrete compression strain limit C Concrete pure compression strain limit Figure 1-1 Possible strain istribution in the ultimate limit state Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair.

4 General Design Chart an Design Table to EBCS EN :014. Design is or Reinorce Concrete Beams.1 Design Table or Reinorce Concrete Beams Table -1 Steps to be taen when using Design Tables Calculate cb I, lim, then compression reinorcement is not require an 1 ω b c N I, lim, then compression reinorcement is require an s ω ' 1 s, lim / s ' ω b 1 ω c s lim ' ω b c N Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 3

5 General Design Chart an Design Table to EBCS EN :014 Table - Design Table or C 1/15 C 50/0 cb ω c b c Percentage Reistribution % % % Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 4

6 General Design Chart an Design Table to EBCS EN :014 Table -3 Design Table or C 55/7 cb ω c b c Percentage Reistribution % % % Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 5

7 General Design Chart an Design Table to EBCS EN :014 Table -4 Design Table or C 0/75 cb ω c b c Percentage Reistribution % % % Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair.

8 General Design Chart an Design Table to EBCS EN :014 Table -5 Design Table or C 70/85 cb ω c b c Percentage Reistribution % % % Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 7

9 General Design Chart an Design Table to EBCS EN :014 Table - Design Table or C 80/95 cb ω c b c Percentage Reistribution % % % Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 8

10 General Design Chart an Design Table to EBCS EN :014 Table -7 Design Table or C 90/105 cb ω c b c Percentage Reistribution % % % Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 9

11 General Design Chart an Design Table to EBCS EN :014. General Design Charts Figure -1 General Design Chart or C 1/15 C 50/0 Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 10

12 General Design Chart an Design Table to EBCS EN :014 Figure - General Design Chart or C 55/7 Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 11

13 General Design Chart an Design Table to EBCS EN :014 Figure -3 General Design Chart or C 0/75 Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 1

14 General Design Chart an Design Table to EBCS EN :014 Figure -4 General Design Chart or C 70/85 Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 13

15 General Design Chart an Design Table to EBCS EN :014 Figure -5 General Design Chart or C 80/95 Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 14

16 General Design Chart an Design Table to EBCS EN :014 Figure - General Design Chart or C 90/105 Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 15

17 General Design Chart an Design Table to EBCS EN :014.3 Design Eamples.3.1 Singly Reinorce Section without Normal Loa Given: Cross-section: b/h/ = 300/00/550 mm ction Eects: Design moment = 350 Nm aterial Data: Concrete C 70/85 an Steel S 40 Require: mount o tension reinorcement or Class I Wors Solution: Using Design Table:,lim,s 0.185,s cb ,lim Since,s,lim, the section is singly reinorce. Reaing ω rom Table -5, c 4.7 b mm 400 Using General Design Chart:,lim,s 0.185,s cb ,lim Since,s,lim, the section is singly reinorce. Reaing rom Figure -4, Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 1

18 General Design Chart an Design Table to EBCS EN : ,s mm Singly Reinorce Section with Normal Loa (Compressive) Given: Cross-section: b/h/ = 300/00/550 mm ction Eects: Design moment = 350 Nm & Normal Loa = 500 Nm aterial Data: Concrete C 70/85 an Steel S 40 Require: mount o tension reinorcement or Class I Wors Solution: Using Design Table:,s,lim,s ,s cb Nm 0.11 Since,s,lim, the section is singly reinorce. Reaing ω rom Table -5,,lim c N b mm Using General Design Chart:,s,lim,s ,s cb Nm 0.11,lim Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 17

19 General Design Chart an Design Table to EBCS EN :014 Since,s,lim, the section is singly reinorce. Reaing rom Figure -4, 0.95,s N mm.3.3 Doubly Reinorce Section with oment Reistribution Given: Cross-section: b/h// = 300/00/550/55 mm ction Eects: Design moment = 00 Nm ater moment reistribution aterial Data: Concrete C 70/85 an Steel S 40 Percent oment Reistribution: 0% Require: mount o tension an compression reinorcement or Class I Wors Solution: Using Design Table:,lim = or 0% moment reistribution,s 0010, s cb , lim Since,s >,lim, the section is oubly reinorce. Reaing ωlim rom Table -5, lim ',s,lim / rea o tension reinorcement, Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 18

20 General Design Chart an Design Table to EBCS EN :014 ' c 4.7 b mm lim 400 Chec whether the compression reinorcement has yiele, s 1 c s s ses Pa Calculate the stress in concrete at the level o compression reinorcement to avoi ouble counting o area, cs 1.3 c.4 c, s c 1 1 cs c n Pa rea o compression reinorcement, s ' b s c c,s mm Using General Design Chart:,lim = or 0% moment reistribution,s 0010, s cb , lim Since,s >,lim, the section is oubly reinorce., lim,lim b c Nm Reaing,lim rom Figure -4, Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 19

21 General Design Chart an Design Table to EBCS EN :014, lim rea o tension reinorcement, lim, lim ( ), lim ( ) 10 ( ) (550 50) mm Chec whether the compression reinorcement has yiele, Reaing εs rom Figure -4, s s ses Pa Calculate the stress in concrete at the level o compression reinorcement to avoi ouble counting o area, cs 1.5 c.4 c, s c 1 1 cs c n Pa rea o compression reinorcement, s s 1 c ( (,lim ) s ) 1 ( ) (550 50) s mm Prepare by: isgun Samuel, it, School o Civil & Environmental Engineering, Concrete Structures an aterials Chair. 0