Seminar Buildings 1 - Part 2

Page 1 of 11

PANNEL TYPE 1

1x 1y 1x 1y

ly

q l x x

Mx

My

lx

y y

q l

0.50 0.0059 0.0946 0.0588 0.9412

0.55 0.008 0.0881 0.0838 0.9162

0.60 0.0105 0.0813 0.1147 0.8853

0.65 0.0133 0.0744 0.1515 0.8485

0.70 0.0162 0.0676 0.1936 0.8064

0.75 0.0193 0.0612 0.2404 0.7596

0.80 0.0227 0.0555 0.2906 0.7094

0.85 0.0261 0.0491 0.3430 0.6570 = ly / lx

0.90 0.0292 0.0447 0.3962 0.6038

2

xx1x lqM ;

2

yy1y lqM ;

qq x1x

qq y1y

0.95 0.0329 0.0403 0.4489 0.5511

1.00 0.0365 0.0365 0.5000 0.5000

1.10 0.0439 0.0300 0.5942 0.4058

1.20 0.0514 0.0248 0.6747 0.3253

1.30 0.0588 0.0206 0.7407 0.2593

1.40 0.0657 0.0171 0.7935 0.2065

1.50 0.0721 0.0142 0.8351 0.1649

1.60 0.0776 0.0118 0.8676 0.1324

1.70 0.0829 0.0099 0.8931 0.1069

1.80 0.0873 0.0082 0.913 0.087

1.90 0.0912 0.007 0.9287 0.0713

2.00 0.0946 0.0059 0.9412 0.0588

Page 2 of 11

PANNEL TYPE 2

2x 2y 2x 2y

q l x x

M'x

ly

Mx

My

lx

y y

q l

0.50 0.0071 0.0887 0.1351 0.8649

0.55 0.0093 0.0808 0.1862 0.8138

0.60 0.0117 0.0730 0.2447 0.7553

0.65 0.0142 0.0654 0.3086 0.6914

0.70 0.0169 0.0582 0.3751 0.6249

0.75 0.0197 0.0515 0.4417 0.5583

0.80 0.0224 0.0455 0.5059 0.4941

0.85 0.0252 0.0401 0.5661 0.4339 = ly / lx

0.90 0.0280 0.0352 0.6212 0.3788 2

xx2x lqM ; qq x2x

2

yy2y lqM ; qq y2y

8

lqM

2

xx'

x

;

8

lqM

2

yy'

y

0.95 0.0307 0.0310 0.6706 0.3294

1.00 0.0334 0.0272 0.7143 0.2857

1.10 0.0384 0.0210 0.7854 0.2146

1.20 0.0429 0.0163 0.8383 0.1617 When the built-in side is parallel

to lx, the lower titles are valid

for ’ 1.30 0.0467 0.0127 0.8772 0.1228

1.40 0.0499 0.0100 0.9057 0.0943

ly

x xq l

lx

My

Mx

M'y

y y

q l

1.50 0.0526 0.0079 0.9268 0.0732

1.60 0.0546 0.0063 0.9425 0.0575

1.70 0.0567 0.0051 0.9543 0.0457

1.80 0.0587 0.0042 0.9633 0.0367

1.90 0.0600 0.0034 0.9702 0.0298

2.00 0.0606 0.0028 0.9756 0.0244

' y x y x ' = lx / ly

Page 3 of 11

PANNEL TYPE 3

3x 3y 3x 3y

ly

x xq l

lx

My

Mx

M'x

y y

q l M'x

0.50 0.0073 0.0801 0.2381 0.7619

0.55 0.0093 0.0709 0.3139 0.6861

0.60 0.0114 0.062 0.3932 0.6068

0.65 0.0136 0.0538 0.4716 0.5284

0.70 0.0157 0.0463 0.5456 0.4544

0.75 0.0178 0.0396 0.6127 0.3873

0.80 0.0198 0.0338 0.6709 0.3291

0.85 0.0218 0.0289 0.7230 0.277 = ly / lx

0.90 0.0235 0.0246 0.7664 0.2336 2

xx3x lqM ; qq x3x

2

yy3y lqM ; qq y3y

8

lqM

2

xx'

x

;

8

lqM

2

yy'

y

0.95 0.0252 0.0210 0.8029 0.1971

1.00 0.0267 0.0179 0.8333 0.1667

1.10 0.0293 0.0133 0.8798 0.1202

1.20 0.0313 0.0098 0.9120 0.088 When the built-in sides are

parallel to lx, the lower titles are

valid for ’ 1.30 0.0330 0.0074 0.9346 0.0654

1.40 0.0343 0.0057 0.9505 0.0495

My

lx

q l x x

ly

M'y

Mx q l y y

M'y

1.50 0.0353 0.0044 0.962 0.0380

1.60 0.0362 0.0035 0.9704 0.0296

1.70 0.0369 0.0028 0.9766 0.0234

1.80 0.0374 0.0022 0.9813 0.0187

1.90 0.0379 0.0018 0.9849 0.0151

2.00 0.0383 0.0015 0.9877 0.0123

' y x y x ' = lx / ly

Page 4 of 11

PANNEL TYPE 4

4x 4y 4x 4y lx

ly

q l x x

M'xMy

Mx q l

y y

M'y

0.50 0.0037 0.0589 0.0588 0.9412

0.55 0.0051 0.0561 0.0838 0.9162

0.60 0.0069 0.0529 0.1147 0.8853

0.65 0.0089 0.0496 0.1515 0.8485

0.70 0.0111 0.0462 0.1936 0.8064

0.75 0.0135 0.0427 0.2404 0.7596

0.80 0.0161 0.0393 0.2906 0.7094 = ly / lx

0.85 0.0187 0.0359 0.343 0.657

2

xx4x lqM ; qq x4x

2

yy4y lqM ; qq y4y

8

lqM

2

xx'

x

;

8

lqM

2

yy'

y

0.90 0.0215 0.0327 0.3962 0.6038

0.95 0.0242 0.0297 0.4489 0.5511

1.00 0.0269 0.0269 0.5 0.5

1.10 0.0322 0.022 0.5942 0.4058

1.20 0.037 0.0179 0.6747 0.3253

1.30 0.0414 0.0145 0.7407 0.2593

y y

q l

ly

x xq l

M'y

Mx

lx

M'x My

1.40 0.0452 0.0118 0.7935 0.2065

1.50 0.0485 0.0096 0.8351 0.1649

1.60 0.0513 0.0078 0.8676 0.1324

1.70 0.0537 0.0064 0.8931 0.1069

1.80 0.0557 0.0053 0.913 0.087

1.90 0.0574 0.0044 0.9287 0.0713

2.00 0.0589 0.0037 0.9412 0.0588

Page 5 of 11

PANNEL TYPE 5

5x 5y 5x 5y

ly q l

y y

lx

M'x

M'x

M'xMy

Mx

q l x x

0.50 0.0041 0.056 0.1111 0.8889

0.55 0.0053 0.0523 0.1547 0.8453

0.60 0.0072 0.0484 0.2058 0.7942

0.65 0.0091 0.0442 0.2631 0.7369

0.70 0.011 0.0401 0.3244 0.6756

0.75 0.0131 0.0361 0.3876 0.6124

0.80 0.0151 0.0323 0.4503 0.5497 = ly / lx

0.85 0.0171 0.0287 0.5108 0.4892 2

xx5x lqM ; qq x5x

2

yy5y lqM ; qq y5y

8

lqM

2

xx'

x

;

8

lqM

2

yy'

y

0.90 0.019 0.0254 0.5675 0.4325

0.95 0.0209 0.0224 0.6196 0.3804

1.00 0.0226 0.0198 0.6667 0.3333

1.10 0.0257 0.0153 0.7454 0.2546

1.20 0.0284 0.0119 0.8057 0.1943 When the simple supported side is

parallel to ly, the lower titles are

valid for ’ 1.30 0.0305 0.0092 0.851 0.149

1.40 0.0322 0.0072 0.8848 0.1152

y y

q l

ly

x xq l

M'y

Mx

lx

M'xMy

M'y

1.50 0.0337 0.0057 0.9101 0.0899

1.60 0.0348 0.0046 0.9291 0.0709

1.70 0.0358 0.0037 0.9435 0.0565

1.80 0.0365 0.003 0.9545 0.0455

1.90 0.0371 0.0024 0.9631 0.0369

2.00 0.0377 0.002 0.9697 0.0303

' 5y 5x 5y 5x ' = lx / ly

Page 6 of 11

PANNEL TYPE 6

x y x y

M'y

ly

1 1q l

M'y

Mx

My

M'x

q l

2 2

lx

M'x

0.50 0.0023 0.0367 0.0588 0.9412

0.55 0.0032 0.0352 0.0838 0.9162

0.60 0.0044 0.0336 0.1147 0.8853

0.65 0.0057 0.0322 0.1515 0.8485

0.70 0.0072 0.0299 0.1936 0.8064

0.75 0.0088 0.0279 0.2401 0.7599

0.80 0.0106 0.0258 0.2906 0.7094

0.85 0.0124 0.0238 0.343 0.657 = ly / lx

0.90 0.0143 0.0217 0.3962 0.6038

2

xx6x lqM ;

2

yy6y lqM ;

qq x6x

qq y6y

8

lqM

2

xx'

x

;

8

lqM

2

yy'

y

0.95 0.0161 0.0198 0.4489 0.5511

1.00 0.0179 0.0179 0.5000 0.5000

1.10 0.0214 0.0146 0.5942 0.4058

1.20 0.0244 0.0118 0.6747 0.3253

1.30 0.0271 0.0095 0.7407 0.2593

1.40 0.0293 0.0076 0.7935 0.2065

1.50 0.0312 0.0062 0.8351 0.1649

1.60 0.0327 0.005 0.8676 0.1324

1.70 0.034 0.0041 0.8931 0.1069

1.80 0.0351 0.0033 0.913 0.087

1.90 0.036 0.0028 0.9287 0.0713

2.00 0.0367 0.0023 0.9412 0.0588

Page 7 of 11

Cross/section area for longitudinal tensioned tied bars

[cm2/m]

Bar

spacing

Diameter of the bar [mm]

6 8 10 12 14 16

8,0

8,5

9,0

9,5

10,0

10,5

11,0

11,5

12,0

12,5

13,0

13,5

14,0

14,5

15,0

15,5

16,0

16,5

17,0

17,5

18,0

18,5

19,0

19,5

20,0

3,53

3,33

3,14

2,98

2,83

2,69

2,57

2,46

2,36

2,26

2,17

2,09

2,02

1,95

1,89

1,82

1,77

1,71

1,66

1,62

1,57

1,53

1,49

1,45

1,41

6,28

5,91

5,59

5,29

5,03

4,79

4,57

4,37

4,19

4,02

3,87

3,72

3,59

3,47

3,35

3,24

3,14

3,05

2,98

2,87

2,79

2,72

2,65

2,58

2,51

9,82

9,24

8,73

8,27

7,85

7,48

7,14

6,83

6,54

6,28

6,04

5,82

5,61

5,42

5,24

5,07

4,91

4,76

4,62

4,49

4,36

4,25

4,13

4,03

3,93

13,14

13,31

12,57

11,90

11,31

10,77

10,28

9,84

9,42

9,05

8,70

8,38

8,08

7,80

7,54

7,30

7,07

6,85

6,65

6,46

6,28

6,11

5,95

5,80

5,65

19,24

18,11

17,10

16,20

15,39

13,66

13,99

13,39

12,83

12,32

11,84

11,40

11,00

10,62

10,26

9,93

9,62

9,33

9,05

8,79

8,55

8,32

8,10

7,89

7,69

25,14

23,66

22,34

21,17

20,11

19,15

18,28

17,49

16,76

16,09

15,47

13,90

13,36

13,87

13,41

12,97

12,57

12,19

11,83

11,49

11,17

10,87

10,58

10,31

10,05

Page 8 of 11

Calulus relations

Concrete class

Bending Bending with axial force

In the above relations, the

upper sign near the axial force

is for compression.

or

or

Page 9 of 11

Evaluation of loads

The characteristic loads should be avaluated from the specific details drown previously.

There are established the calculus strips (all different sections on the slab).

Thare is established the type of pannel for each pannel.

The coefficients x and y are extracted form the above tables. There are computed the corresponding loads for each direction (x, resp. y).

Pannel

no.

Panel

type

g

[daN/m2]

q

[daN/m2]

x y gx

[daN/m]

gy

[daN/m]

qx

[daN/m]

qy

[daN/m]

1

2

...

...

For the partition walls:

The prescriptions apply only for the partition walls for which the unit weigth is less than 5000 N/m. The equivalent uniformly distributed surface

loads have the values:

a) for the partition walls having the weigth up to 1500 N/m (included) 500 N/m2

b) for the partition walls having the weigth between 1500N/m and 3000 N/m (included) 1000 N/m2

c) for the partition walls having the weigth over 3000 N/m, but under 5000 N/m (included) 1500 N/m2

Page 10 of 11

Reinforcement calcullus

Minimum thickness for the slab – 13 [cm]

c,dev = 5 [mm]

Rest – as for the one way reinforcement situation (treated previously).

Attention should be payed for ds calculus – depending on the reinforcement row:

- For R1 – ds = cnom + R1/2

- For R2 – ds = cnom + R1 + R2/2

Usually, R1 is arranged on the short (smaller) direction of the panel. As a principle, one should keep the same rows for the entire slab.

In the table below:

- h [mm] is choosed in order to fullfill the minimum condition.

- M [Nmm] results from the static calculus, using the gric.exe program.

- - is computed

- - is chosen from the table, function of (interpolated value)

In the calculus sheets, there will be also presented the materials used (for concrete and reinforcement), stating both the characteristic and the

design strengths.

The min and max conditions for the reinforcement will be checked: As,min > 0.0013bd ; As,max < 0.04bd

Strip Section Reinforcement

Row

b

[mm]

h

[mm]

ds

[mm]

dnec

[mm]

h

[mm]

M

[Nmm] As,nec

[mm2]

Effective reinforcement

[/reinf. spacing]

Page 11 of 11

Effective reinforcement of the slab

The reinforcing will be done using only straight bars, with anchorage or constructive bent ends.

There will be checked:

- Minimum reinforcement

- Maximum reinforcement

- Minimum spacing

- Maximum spacing

- Minimum diameter

- Maximum diameter

The steel quantity will be also computed.