31 Foundation Design

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Page 31 - 1

FOUNDATION DESIGN

31

EXHAUST STACK

Christy 07:03 08/31/09

ENGINEERING with the SPREADSHEET Copyright 2006 American Society of Civil Engineers A

B

C

D

E

21562196.xls F

G

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I

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M

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CONCRETE DESIGN IN UPLIFT For Bolt Circle cg 8.00 ft longest cg to be considered radius 2.00 ft radius of tank pads or bolts from CL tank box 3.54 ft (PI()*radius^2)^0.5 equivalent side of square arm 4.46 ft slab_h q_ult Pu Mu

2.00 ft 0.42 ksf_ult 1.9 k_ult 4.2 k-ft_ult

depth of slab 1.4 * slab_h * 0.15 k/ft3 force top reinforcing in tension

LRFD FACTORING '97 UBC DL 1.31 ksf wind+DL 2.18 ksf wind 0.87 ksf

4.46 8.00

1612.2.1 Basic load combinations with exception 2 -- multiply loads with 1.1 for loads including seismic forces D 1.309 dead load -- max DL righting moment L 0 live load or earth pressure Lr 0 roof live load S 0 snow W 0.874 wind E 0 seismic -- when derived from the UBC, use E/1.4 T 0 differential settlement H 0 earth pressure F 0 fluid pressure, load factor = 1.4 f1

1.0

f2

0.2

E_

1.1 multiplier

12-1 12-2 12-3 12-4 12-5a 12-6a 12-6b max 1909.2 9-1 9-2a 9-2b 9-3a 9-3b 9-4a 9-4b 9-5 9-6 max ratio

21562196.xls row 20

3.54

Figure 31-1 CIRCULAR LOADING PLAN

row 30

DL 1.309 ksf LL 0.000 ksf Figure 31-2 At-rest DL and LL loads. row 40

1.0 floors in public assembly, LL >100 psf, garage 0.5 of other live loads 0.7 roofs that can't shed snow, 0.2 other use 1.1 for concrete and masonry subjected to seismic forces

2.016 1.728 2.497 2.978 1.728 2.546 2.546 2.978 ksf ult

1.1 * 1.4 D wind + DL 2.18 ksf 1.1 * (1.2D + 1.6*L +0.5* (L or S)) 1.1 * (1.2D + 1.6(Lr or S) + (f_1 L or 0.8W)) Figure 31-3 Overturning soil loading profile. 1.1 * (1.2D + 1.3W +f_1 L + 0.5(Lr or S )) 1.1 * (1.2D + 1.0E + (f_1 LL_ + f_2 S)) 1.1 * (0.9D + 1.0E or 1.3W) 1.1 * (0.9D - 1.0E or 1.3W)

1.833 2.489 1.512 2.314 1.440 1.833 1.178 1.374 1.833 2.489 ksf ult 1.364

1.4D + 1.7L 0.75 (1.4D + 1.7L + 1.7W) 1.1 * 0.75 (1.4D + 1.7L + 1.7E) 0.9D + 1.3W 1.1 * (0.9D + 1.3 E) 1.4D + 1.7L + 1.7H 0.9D + 0L + 1.7H 0.75 (1.4D + 1.4T + 1.7L) 1.4 (D + T)

row 50

row 60

wind + DL ultimate / wind + LL row 70

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CONCRETE DESIGN IN BEARING 1 0.5 0 -0.5 -1 -1.5

21562196.xls row 80

-2 0

2.5

5

7.5

10

12.5

15

17.5

20

22.5

Figure 31-5 SOIL PRESSURE PROFILE

Figure 31-4 SOIL PRESSURE VIEW q loaded q unload 3a L W

1.66 ksf 0.000 ksf 19.98 ft 21 ft 17 ft

soil pressure loading slab + DL + LL 3 * ax or ay or length/width of footing length of footing in direction of 3a width of footing perpindicular to direction of vessel movement

h d

2.5 ft 2.17 ft

depth of footing

ratio ratio use

0.89 unitless 1 unitless

ratio of LRFD to ASD loads use this ratio of LRFD to ASD loads

0.000 1.66 row 90

1.121 1.453 Figure 31-6 SOIL PRESSURE DIAGRAM

2.17 ft

Moment One Determine cantilever moment from face of equivalent square. Use and averaged soil pressure agains an approximated beam of width = d. Cant 1 q triangle q rect q avg M Mu

6.50 ft 1.453 ksf 0.000 ksf 1.453 ksf 30.7 k-ft 30.7 k-ft ult

row 100 6.50

cantilevered slab approximated to face of equivalent square (1 - 2.50 /MIN(21.00, 19.98)) * (1.661 - 0.000) Equivalent Rectangle

row 110

Figure 31-7 LOADING PLAN Moment 2 CG down M q triangle q rect q M2 M3 M sum Mu

6.5 ft 6.5 ft FALSE -2.7 1.121 ksf 0.00 ksf 1.121 ksf 15.8 k-ft 0 k-ft 15.8 k-ft 15.8 k-ft ult

baseplate(s) bearing down to loaded edge full triangle (1 - 6.50 /MIN(21.00, 19.98)) * (1.661 - 0.000) row 120 for reference 6.50 * 2/3 * 1.121 * 6.50 /2 0.000 * 6.50^2 /2

Figure 31-8 LOADING PLAN row 130

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21562196.xls

x y

0 0

21 0

21 -1.66

1.02 0

14.5 0

14.5 0.83

13.98 0.17

14.5 0

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15.03 0.17

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