Water tank design as per moody chart

Binnoor Engineers Consultants, Vapi

Sludge tank for CETP, Vapi

1.1 Moment & Reaction for Rectangular Plate Plate - Interpolation - (Chamber Wall C1) - Water Pressure Chamber design _ Moment, Shear force & Direct tension calcualation Note: Co-efficient are taken from Moody"s chart.  Assume angle of friction of of sol ɸ = 0 where ka Co-efficient of active pressure = (1-sin ɸ)/(1+sinɸ) = γ= Density of soil h= Height ight at which ich press ressu ure is act acting ing Earth pressure upto bottom slab = a= b= a/b

Half width Height

y/b

x/a

1.00 * Ht 0.80 * Ht 0.60 * Ht Ht 0.40 * Ht 0.20 * Ht 0.00 * Ht

Rx Ry Top -0.0061 0.0505 0.102 0.1517 0.1495 Botto 0.0304 Ry

y/b

x/a

1.00 * Ht 0.80 * Ht 0.60 * Ht 0.40 * Ht 0.20 * Ht 0.00 * Ht

Rx Ry Top -0.00495 0.045446 0.091694 0.136538 0.13852 Botto 0.033472   Ry Ry

1.25 5.55 1/4.44

1.000 Phi ka

x 5.55

x 10

a/ b = 1/4.00 Mx - Horizontal moment coefficient 0 0.2 0.4 0.6 0.8 1 -0.0061 -0.0102 0.0056 0.0169 0.0237 0.026 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0042 0.0019 0.0001 -0.0011 -0.0018 -0.0021 0.0082 0.0037 0.0002 -0.0023 -0.0037 -0.0042 0.0114 0.0049 0.0000 -0.0032 -0.0051 -0.0057 0.0102 0.0037 -0.0004 -0.0030 -0.0043 -0.0047 0.0000 0.0004 0.0010 0.0016 0.0020 0.0021 0.0304 0.0309 0.1052 0.1563 0.1856 0.195 a/ b = 1/4.44 Mx - Horizontal moment coefficient 0 0.2 0.4 0.6 0.8 1 -0.005 -0.0077 0.0058 0.0154 0.0212 0.0231 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0036 0.0016 0.0001 -0.0009 -0.0015 -0.0018 0.0070 0.0031 0.0002 -0.0020 -0.0031 -0.0036 0.0098 0.0042 0.0000 -0.0027 -0.0044 -0.0049 0.0089 0.0033 -0.0003 -0.0026 -0.0038 -0.0041 0.0000 0.0003 0.0009 0.0014 0.0017 0.0018 0.0335 0.0275 0.0952 0.1419 0.1687 0.1773

= =

=

1.000 3 10.000 kN/m

55.5 kN/m

My - Vertical moment coefficient 0 0.2 0.4 0.6

2

0.8

1

0.0000 -0.0002 -0.0006 -0.0013 -0.0022 0.0081

0.0000 -0.0004 -0.0010 -0.0019 -0.0029 0.0100

0.0000 -0.0005 -0.0011 -0.0021 -0.0031 0.0107

My - Vertical moment coefficient 0 0.2 0.4 0.6

0.8

1

0.0000 -0.0003 -0.0008 -0.0016 -0.0024 0.0086

0.0000 -0.0004 -0.0009 -0.0017 -0.0026 0.0092

0.0000 0.0008 0.0016 0.0023 0.0020 0.0000

0.0000 0.0007 0.0014 0.0020 0.0018 0.0000

0.0000 0.0000 0.0004 0.0000 0.0007 0.0000 0.0009 -0.0004 0.0004 -0.0011 0.0020 0.0052

0.0000 0.0000 0.0003 0.0000 0.0006 0.0000 0.0008 -0.0003 0.0004 -0.0009 0.0017 0.0044

0.0000 -0.0002 -0.0005 -0.0011 -0.0018 0.0070

55.5

Binnoor Engineers Consultants, Vapi

y/b

x/a

1.00 * Ht 0.80 * Ht 0.60 * Ht 0.40 * Ht 0.20 * Ht 0.00 * Ht

Rx Ry Top -0.0003 0.0250 0.0500 0.0752 0.0941 Botto 0.0459   Ry

a/ b = 1/8.00 Mx - Horizontal moment coefficient 0 0.2 0.4 0.6 0.8 1 -0.0003 0.0024 0.0064 0.0092 0.0109 0.0114 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0010 0.0005 0.0000 -0.0003 -0.0005 -0.0005 0.0021 0.0009 0.0001 -0.0006 -0.0009 -0.0011 0.0031 0.0014 0.0001 -0.0008 -0.0014 -0.0016 0.0038 0.0016 0.0000 -0.0010 -0.0017 -0.0019 0.0000 0.0001 0.0003 0.0005 0.0006 0.0006 0.0459 0.0139 0.0546 0.0835 0.1003 0.1058

Sludge tank for CETP, Vapi

My - Vertical moment coefficient 0 0.2 0.4 0.6 0.0000 0.0002 0.0004 0.0006 0.0008 0.0000

0.0000 0.0000 0.0001 0.0000 0.0002 0.0000 0.0003 0.0000 0.0003 -0.0001 0.0005 0.0014

0.0000 -0.0001 -0.0001 -0.0002 -0.0003 0.0023

0.8

1

0.0000 -0.0001 -0.0002 -0.0003 -0.0005 0.0028

0.0000 -0.0001 -0.0002 -0.0003 -0.0006 0.0030

Binnoor Engineers Consultants, Vapi

Sludge tank for CETP, Vapi

1.2 Moment & Reaction co-efficient for Rectangular Plate of (Chamber Wall C1) - Water Pressure Chamber design _ Moment, Shear force & Direct tension calcualation Note: Co-efficient are taken from Moody"s chart.  Assume angle of friction of sol ɸ = 0 where ka Co-efficient of active pressure = (1-sin ɸ)/(1+sinɸ) = γ= Density of soil h= Height at which pressure is acting Earth pressure upto bottom slab = a= b= a/b

Half width Height

y/b

x/a

1.00 * Ht 0.80 * Ht 0.60 * Ht 0.40 * Ht 0.20 * Ht 0.00 * Ht

Rx Ry Top -0.00495 0.045446 0.091694 0.136538 0.13852 Botto 0.033472   Ry

y/b

x/a

5.55 4.44 3.33 2.22 1.11 0.00

1.000 Phi ka

1.25 5.55 1/4.44

Mx - Horizontal moment coefficient 0 0.2 0.4 0.6 -0.005 -0.0077 0.0058 0.0154 0.0000 0.0000 0.0000 0.0000 0.0036 0.0016 0.0001 -0.0009 0.0070 0.0031 0.0002 -0.0020 0.0098 0.0042 0.0000 -0.0027 0.0089 0.0033 -0.0003 -0.0026 0.0000 0.0003 0.0009 0.0014 0.0335 0.0275 0.0952 0.1419

0 Rx Ry -1.52 14.00 28.24 42.06 42.67 10.31

x 5.55

-1.52 0.00 6.10 11.95 16.68 15.27 0.00 10.31

x 10

0.8 0.0212 0.0000 -0.0015 -0.0031 -0.0044 -0.0038 0.0017 0.1687

Mx - Horizontal moment coefficient 0.2 0.4 0.6 0.8 -2.37 1.77 4.74 6.52 0.00 0.00 0.00 0.00 2.77 0.14 -1.61 -2.64 5.38 0.31 -3.36 -5.38 7.19 0.03 -4.66 -7.46 5.61 -0.55 -4.45 -6.47 0.58 1.47 2.36 2.94 8.48 29.32 43.70 51.96

= =

1.000 3 10.000 kN/m

2

55.5 kN/m

=

1 0.0231 0.0000 -0.0018 -0.0036 -0.0049 -0.0041 0.0018 0.1773

My - Vertical moment coefficient 0 0.2 0.4 0.6 0.0000 0.0007 0.0014 0.0020 0.0018 0.0000

1 7.12 0.00 -3.05 -6.13 -8.36 -7.09 3.08 54.62

0 0.00 1.16 2.33 3.36 3.01 0.00

0.8

1

0.0000 -0.0003 -0.0008 -0.0016 -0.0024 0.0086

0.0000 -0.0004 -0.0009 -0.0017 -0.0026 0.0092

My - Vertical moment coefficient 0.2 0.4 0.6 0.8

1

0.0000 0.0000 0.0000 0.0003 0.0000 -0.0002 0.0006 0.0000 -0.0005 0.0008 -0.0003 -0.0011 0.0004 -0.0009 -0.0018 0.0017 0.0044 0.0070

0.00 0.58 1.03 1.34 0.65 2.91

0.00 0.00 -0.02 -0.55 -1.54 7.60

0.00 -0.31 -0.86 -1.85 -3.12 11.88

0.00 -0.58 -1.44 -2.71 -4.14 14.66

0.00 -0.72 -1.58 -2.98 -4.45 15.68

55.5

Binnoor Engineers Consultants, Vapi

Sludge tank for CETP, Vapi

1.3 Design of tank - ( Chamber wall C1) (LC - 100 - Water Pressure) :Grade of concrete Grade of steel Modular ratio Permissible comp. flex. stress in concrete Permissible tensile. stress in steel Liquid f Remote Liquid face Remote face n1 = 0.384 0.329  j = 0.872 0.890 Q = 1.17 1.03  Design of section A. Design of section for flexural Location Tension Moment Direct Face Horizontal Wall Liquid Corner y=0, Ht = 1.11 Horizontal Wall Liquid Corner y=0, Ht = 2.22 Horizontal Wall Liquid Corner y=0, Ht = 3.33 Horizontal Wall Liquid Corner y=0, Ht = 4.44 Horizontal Wall Liquid Corner y=0, Ht = 5.55 Horizontal Wall Liquid Centre y=1.25, Ht = 1.11 Horizontal Wall Liquid Centre y=1.25, Ht = 2.22 Horizontal Wall Liquid Centre y=1.25, Ht = 3.33 Horizontal Wall Liquid Centre y=1.25, Ht = 4.44 Horizontal Wall Liquid Centre y=1.25, Ht = 5.55 Vertical Wall Liquid Centre y=1.25, Ht = 1.11 Vertical Wall Liquid Centre y=1.25, Ht = 2.22

213802507.xls.ms_office

b

D

Tension

clear

= = = = = =

20 415 13.33 7.0 150 190

0

d

Mbal.

Mpa Mpa Mpa Mpa Mpa

IS 456-2000, Table 21 IS 3370 Part II, Table 2

0

 Ast req.

 Ast req.

Total

 Astmin

(for flex.) r dir tensio  Ast req.

cover

2)

(mm 0

2)

(mm 0

2)

 Ast

emar

Pt %

(mm 524

safe

0.31

dia

@

Spacing

Prov.

(mm 369

(mm) 10

@

150

2)

2)

(kN-m) 0.00

(kN) 0.00

(mm) (mm) (mm) 1000 200 25

(mm) 170

(kn-m) 33.8

(mm 0

6.10

0.00

1000

200

25

170

33.8

274

0

274

369

10

@

150

524

safe

0.31

11.95

0.00

1000

200

25

170

33.8

537

0

537

369

0.64

1000

200

25

170

33.8

750

0

750

369

1081

safe

0.64

15.27

0.00

1000

200

25

170

33.8

687

0

687

369

1081

safe

0.64

0.00

0.00

1000

200

25

170

33.8

0

0

0

369

524

safe

0.31

3.05

0.00

1000

200

25

170

33.8

137

0

137

369

125 250 125 250 125 250 150 250 150

safe

0.00

@ @ @ @ @ @ @ @ @

1081

16.68

10 12 10 12 10 12 10 0 10

524

safe

0.31

6.13

0.00

1000

200

25

170

33.8

276

0

276

369

10

@

125

628

safe

0.37

8.36

0.00

1000

200

25

170

33.8

376

0

376

369

10

@

125

628

safe

0.37

7.09

0.00

1000

200

25

170

33.8

319

0

319

369

10

@

125

628

safe

0.37

0.72

1000

200

25

167

32.7

33

0

33

362

8

@

115

437

safe

0.26

1.58

1000

200

25

167

32.7

72

0

72

362

8

@

115

437

safe

0.26

Chamber des - Page 4/5

Binnoor Engineers Consultants, Vapi

Vertical Wall Liquid Centre y=1.25, Ht = 3.33 Vertical Wall Liquid Centre y=1.25, Ht = 4.44 Vertical Wall Liquid Centre y=1.25, Ht = 5.55

2.98

1000

200

25

167

32.7

136

0

136

362

8

@

115

437

safe

0.26

4.45

1000

200

25

167

32.7

204

0

204

362

8

@

115

437

safe

0.26

15.68

1000

200

25

163

31.1

735

0

735

354

12

@

115

983

safe

0.60

Permissible

Remark.

B. Design of section for shear Location Shear Force (kN)

Horizontal Wall Corner y=0, Ht = 1.11 Horizontal Wall Corner y=0, Ht = 2.22 Horizontal Wall Corner y=0, Ht = 3.33 Horizontal Wall Corner y=0, Ht = 4.44 Horizontal Wall Corner y=0, Ht = 5.55 Vertical Wall Centre y=1.25, Ht = 1.11 Vertical Wall Centre y=1.25, Ht = 2.22 Vertical Wall Centre y=1.25, Ht = 3.33 Vertical Wall Centre y=1.25, Ht = 4.44 Vertical Wall Centre y=1.25, Ht = 5.55

213802507.xls.ms_office

Sludge tank for CETP, Vapi

b (mm)

D

clear d cover (mm) (mm) (mm)

Shear stress dia 2 v  (N/mm ) (mm) ςv=V/bjd

Ast prov. @

Spacing (mm)

shear stress Pt % provid (IS3370-1965) ed art-2, Table 1) For M20 0.31 1.70

2

1000

200

25

170

0.01

10

@

150

14

1000

200

25

170

0.09

10

@

150

0.31

1.70

Safe

28

1000

200

25

170

0.19

10

@

125

0.64

1.70

Safe

42

1000

200

25

170

0.28

10

@

125

0.64

1.70

Safe

43

1000

200

25

170

0.29

10

@

125

0.64

1.70

Safe

14

1000

200

25

170

0.10

10

@

150

0.26

1.70

Safe

1000

200

25

170

0.00

10

@

150

0.26

1.70

Safe

1000

200

25

170

0.00

10

@

125

0.26

1.70

Safe

1000

200

25

170

0.00

10

@

125

0.26

1.70

Safe

1000

200

25

170

0.37

10

@

125

0.60

1.70

Safe

55

Safe

Chamber des - Page 5/5