1110 ws ec2

Page 78

Limit state design (ULS-SLS) J. Walraven and S. Gmainer

z  0,5(1  1  2K )  0,5  (1  1  2  0,144)  0,922 d

Asl 

1 49,1 106 ( )  856 mm² 435 143  0,922

So the reinforcement ratio ρ can be determined (Eqn. 3.24).

ρ

As bd

ρ

As 856,36   0,60% bd 1000  1,43

(3.24)

Longitudinal reinforcement in X-direction at mid span 1-2: K

MEd  bd 2 fcd

18,32  106  0,0538  0,295  25 103  1432  1,5

z  0,5(1  1  2K )  0,5  (1  1  2  0,0538)  0,972 d

Asl 

ρ

1 18,32  106 ( )  303 mm² 435 143  0,972

As 303   0,21% bd 1000  1,43

Longitudinal reinforcement in X-direction at mid span 2-3 and at support in axis 3: K

MEd  bd 2fcd

36,95  106  0,108  0,295  25 103  1432  1,5

z  0,5  (1  1  2  K )  0,5  (1  1  2  0,108)  0,942 d

Asl 

ρ

1 36,95  106 ( )  630 mm² 435 143  0,942

As 630   0,44% b  d 1000  1,43

Longitudinal reinforcement in Y-direction at intermediate support in axis B: K

MEd  bd 2 fcd

68,15  106  0,200  0,295  25 103  143 2  1,5

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