Box Culvert Limit State Xls

January 23, 2018 | Author: Mahadev Sastry | Category: Strength Of Materials, Tire, Concrete, Engineering, Mechanical Engineering
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Short Description

Design of RCC Box Culvert to IRC-112 code...

Description

NATIONAL HIGHWAYS AUTHORITY OF INDIA FOUR LANING OF TIRUPATI-TIRUTHANI -CHENNAI-SECTION OF NH-205 FROM Km 274+800 to Km 341+600 IN THE STATE OF ANDHRA PRADESH & FROM Km 0+000 TO Km 59+600 IN THE STATE OF TAMIL NADU ON DESIGN,BUILD,FINANCE,OPERATE AND TRANSFER (DBFOT) TOLL BASIS

Structural Design Report DESIGN OF BOX CULVERT 3M x 3M WITHOUT CUSHION Note No:39/TTC/CUL-BOX/1X3X3/RO

Concessionaire TRANSTORY TIRUPATI-TIRUTHANI-CHENNAI TOLLWAYS PVT.LTD.

Document/File No.: Designed by:

Venkatesh

Approved by:

T R Reddy

R "O"

12/13/2010

Rev

Date

No. of Pages:

22

Checked by:

Praveen

Remarks

DESIGN CONSULTANT Egis India Consulting Engineers Pvt. Ltd. 9-1-77/3, N0.31, Adjacent ITC Agri Building, S.D Road, Secunderabad. Tel: +91-40-40179495, Fax: +91-40-40179496

F NH-205 PRADESH NADU ON OLL BASIS

n Report

.

22 Praveen

marks

ineers Pvt. Ltd. TC Agri Building, erabad. +91-40-40179496

Project

: Four Laning of Tirupati-Tiruthani-Chennai Section of NH-205

Job Name : Design of Single Cell Box Culvert Subject

: DESIGN OF BOX CULVERT 3M x 3M WITHOUT CUSHION

DESIGN OF BOX CULVERT 3M x 3M WITHOUT CUSHION 1.0

Design Data

1.1

Dimension Detail

1.2

No of cells

=

1

Clear Span

=

3.00 m

Clear Height (at outer edge) Clear Height (at median location)

= =

3.00 m 3.000 m

Width of road at top

=

12.00 m

Width of Box

=

12.00 m

Ht of fill (W.C / P.C.C / pavement layers) over the top slab

=

0.065 m

Thickness of top slab Thickness of bottom slab Thickness of external vertical wall

= = =

Size of haunch

=

Width of Crash barrier Distance of edge of crash barrier from edge of box

= =

Height of surcharge Safe Bearing Capacity of the soil Permissible Settlement

= = =

150

x

0.500 m 0.500 m 1.20 m 120.00 KN/m2 75.00 mm

Material Properties Density of concrete Density of soil Density of wearing coat Density of Profile corrective course Coefficient of active earth pressure Angle of internal friction (in degree)

1.3

600 mm 600 mm 600 mm

= = = = = =

25.00 20.00 22.00 22.00 0.500 30.00

KN/m3 KN/m3 KN/m3 KN/m3

Grade of Concrete

=

M25

Clear Cover for earth face structural component Clear Cover for inside face structural component Clear Cover for bottom slab

= = =

75 mm 50 mm 75 mm

Permissible direct comp. strength of Concrete (cc)

=

6.25 N/mm2

Permissible flexural comp. strength of Concrete (cb)

=

8.33 N/mm2

Permissible tensile strength of Concrete ( ct )

=

0.61 N/mm2

Permissible tensile strength of Steel ( st )

=

240 N/mm2

deg

Design Parameters

Design Costants:

Base Projection

k j

= =

0.258 0.914

R

=

0.981 N/mm2

=

0 mm

Page # 3

Page # 4

NOT OK OK OK 150

Page # 5

Page # 6

Project

: Four Laning of Tirupati-Tiruthani-Chennai Section of NH-205

Job Name : Design of Single Cell Box Culvert Subject

: DESIGN OF BOX CULVERT 3M x 3M WITHOUT CUSHION

2.0

Load Calculations for the Box Structure

2.1

Dead Load Self weight of the structure has been calculated directly in STAAD file by the comment "SELFWEIGHT -1".

2.2

Super Imposed Dead Load

2.2.1

Top Slab Wearing coat thickness Ht of fill (Thickness of W.C / P.C.C / pavement layers) Load (UDL) on top slab =

= = 0.065*22

Wt of Crash barrier per meter Total UDL load due to S.I Dead Load Height of soil on projected portion of base slab Wt of soil on the projected portion of base slab

2.3

0.065 1.000 m

=

2.73 KN/m

=

0 KN/m

=

2.73 KN/m

= =

0.00 m 0.00 KN/m

Earth Pressure Thickness of top slab Height of top haunch Clear height between top & bottom slab Height of bottom haunch Thickness of bottom slab Height from top

0.600 0.15 3.00 0.15 0.60

m m m m m

Intensity of Earth pressure (KN/m2)

(m) 1.300 + 0.300 + 0.150 + 0.900 + 0.900 + 0.900 + 0.150 + 0.300

= = = = =

1.300 1.600 1.750 2.650 3.550 4.450 4.600 4.900

0.5 * 20 * 1.3 0.5 * 20 * 1.6 0.5 * 20 * 1.75 0.5 * 20 * 2.65 0.5 * 20 * 3.55 0.5 * 20 * 4.45 0.5 * 20 * 4.6 0.5 * 20 * 4.9

= = = = = = = =

13.00 16.00 17.50 26.50 35.50 44.50 46.00 49.00 75

2.4

Live Load Surcharge Equivalent height

=

Uniform Intensity of loading = 2.5

1.20 m

=

12.00 KN/m2

= = =

400 KN 12.00 m 6.67 KN

Braking Load Carriageway Live Load Width of the box Braking Load =

2.6

0.5 * 1.2 * 20

0.2 * 400 / 12

Additional pressure on edge 1m strip due to eccentricity of Live Load Live Load

=

400.00 KN

Width of culvert (parallel to traffic direction) Width of culvert (perpendicular to traffic direction)

= =

4.20 m 12.00 m

Distance of CG of load from outer edge of box culvert Transverse Moment

= =

3.10 m 1162.00 KNm

Section Modulus of box in transverse direction

=

100.80 m^3

Upward UDL on edge 1m strip

=

11.53 KN/m

Page # 7

"SELFWEIGHT -1".

Page # 8

Project

: Four Laning of Tirupati-Tiruthani-Chennai Section of NH-205

Job Name : Design of Single Cell Box Culvert Subject

DESIGN OF BOX CULVERT 3M x 3M WITHOUT CUSHION

3.0

Effective width of tyres and load distribution for different vehicular loadings: lo

Effective span Total Width of Box culvert

= =

= =

3.60 m 12.00 m

Ht of fill (W.C / P.C.C / pavement layers) Thickness of deck slab

= =

= =

0.065 m 0.600 m

Width of Crash barrier / Kerb

=

=

0.50 m

=

0.50 m

=

3.33

b

Dist. of edge of crash barrier/guard stone from edge of box b / lo

Span / Wdith ratio

=

As per Cl. 305.16.2 of IRC:21, for continous slab b / lo For = 3.1

Class 70R vehicle:

3.1.1

Axle - " l " :

3.33

;



=

2.6

(Refer Appendix 1, IRC : 6-2000 )

5t

5t

5t

450

410

12 / 3.6

1480

40

410

1070

5t

20 t

20 t

450

410

40

410 1220

2790 Transverse Total Load Impact factor

Longitudinal = =

= =

(Refer Cl.211.3 of IRC:6-1966)

Min. clear distance from C/B to the edge of the end wheel Distance between the axles in the direction of traffic C/C distance between end wheels in trans direction Load on one tyre Max. tyre pressure Contact width of tyre

= = =

(Refer Tab 75 (Refer Table of IRC:6-2000)

Contact area Breadth

= =

5000 / 5.273 948.23 / 36

Contact area

=

360 x 263 mm

= = = 410

360

Contact width of tyre in a direction perpendicular to the span Wheel dimension perpendicular to span Dist. from outer edge of kerb to = 0.5 + 1.2 + 0.41 / 2 c.g of wheel Effective width a b1 Effective width

5.00 t 5.273 Kg/cm2 360 mm 948.23 cm2 26.3 cm

= = =

0.36 m 0.41 m 1.905 m

a (1 - a / lo) + b1

= = =

the distance of c.g of concentrated load from nearer support 3.6 / 2 - 1.22 / 2 = 0.36 + 2 * 0.065 =

(Refer Cl.305.16.2)

= 2.6 x 1.19 x (1 - 1.19 / 3.6) + 0.49 (Dispersion width ends with in the deck slab) (Dispersion width of four wheels overlaps in trans direction)

=

1.20 m 1.22 m 2.38 m

= =

=

Effective load in trans direction Effective width for design (In transverse direction)

= = =

40.00 t 1.25

= >

1.190 m 0.49 m 2.56 m 1.48 m

=

20.00 t

=

4.942 m

Page # 9

Project

: Four Laning of Tirupati-Tiruthani-Chennai Section of NH-205

Job Name : Design of Single Cell Box Culvert Subject

DESIGN OF BOX CULVERT 3M x 3M WITHOUT CUSHION

1.905 Crash Barrier 0.50

3.1.2

2.380

1.20

0.41

0.04

0.41

1.07

0.41

0.04

Dispersion along span direction (Refer Cl.305.16.3 of IRC:21)

=

0.263 + 2 x (0.065 + 0.6)

Dispersion width for design (In longitudinal direction)

=

(IF(1.593>1.22,(1.593 + 1.22),1.593)

Total load Dispersion area Load per unit area

= = =

Load per unit area with I.F

=

Axle - " m ":

0.41

= >

1.593 m 1.220

=

2.813 m

4.942 x 2.813 40 / 13.902

= = =

40.0 t 13.90 m2 2.88 t/m2

2.88 x 1.25

=

3.60 t/m2

(Refer Appendix 1, IRC : 6-2000 )

5t

5t

5t

795

410

790

385

410

380

5t

20 t

20 t

795

410

385

410 1220

2790 Transverse Total Load Impact factor

= =

Longitudinal = =

(Refer Cl.211.3 of IRC:6-1966)

Min. clear distance from C/B to the edge of the end wheel Distance between the axles in the dir. of traffic C/C distance between end wheels in trans direction Load on one tyre Max. tyre pressure Contact width of tyre

= = =

(Refer Table of IRC:6-2000) (Refer Table of IRC:6-2000)

Contact area Breadth

= =

5000 / 5.273 948.23 / 36

Contact area

=

360 x 263 mm

= = = 410

360

Contact width of tyre in a direction perpendicular to the span Wheel dimension perp. to span Distance from outer edge of kerb to c.g of wheel Effective width a b1 Effective width

5.00 t 5.273 Kg/cm2 360 mm 948.23 cm2 26.3 cm

= = =

0.36 m 0.41 m 1.905 m

a (1 - a / lo) + b1

= = =

the distance of c.g of concentrated load from nearer support 3.6 / 2 - 1.22 / 2 = 0.36 + 2 * 0.065 =

(Refer Cl.305.16.2)

= 2.6 x 1.19 x (1 - 1.19 / 1.22) + 0.49 (Dispersion width ends with in the deck slab) (Dispersion width of four wheels overlaps in trans direction)

=

1.20 m 1.22 m 2.38 m

= =

=

Effective load in trans direction Effective width for design (In transverse direction)

= = =

40.00 t 1.25

= >

1.190 m 0.49 m 2.56 m 0.79 m

=

20.00 t

=

4.942 m

Page # 10

Project

: Four Laning of Tirupati-Tiruthani-Chennai Section of NH-205

Job Name : Design of Single Cell Box Culvert Subject

DESIGN OF BOX CULVERT 3M x 3M WITHOUT CUSHION

1.905 Crash Barrier 0.50

3.1.3

2.380

1.20

0.41

0.39

0.41

0.38

0.41

0.39

0.41

Dispersion along span direction (Refer Cl.305.16.3 of IRC:21)

=

0.263 + 2 x (0.065 + 0.6)

= >

1.593 m 1.220

Dispersion width for design (In longitudinal direction)

=

(IF(1.593>1.22,(1.593 + 1.22),1.593)

=

2.813 m

Total load Dispersion area Load per unit area

= = =

4.942 x 2.813 40 / 13.902

= = =

40.0 t 13.902 m2 2.88 t/m2

Load per unit area with I.F

=

2.878 x 1.25

=

3.60 t/m2

Axle - " n ":

(Refer Appendix 1, IRC : 6-2000 ) 2.5 t 280

230

2.5 t 480

230 50

2.5 t 280

230

2.5 t 480

230

250

2.5 t 280

230 250 2790

50

2.5 t 480

230 50

2.5 t 280

230 250

2.5 t

20 t

20 t

230 50

1220

Transverse Total Load Impact factor

= =

= =

(Refer Cl.211.3 of IRC:6-1966)

Min. clear distance from C/B to the edge of the end wheel Distance between the axles in the dir. of traffic c/c distance between end wheels in trans direction Load on one tyre Max. tyre pressure Contact width of tyre

= = =

(Refer Table of IRC:6-2000) (Refer Table of IRC:6-2000)

Contact area Breadth

= =

2500 / 5.273 474.12 / 18

Contact area

=

180 x 263 mm

= = = 230

180

Contact width of tyre in a direction perpendicular to the span Wheel dimension perp. to span Distance from outer edge of kerb to c.g of wheel Effective width a b1 Effective width

2.50 t 5.273 Kg/cm2 180 mm 474.12 cm2 26.3 cm

= = =

0.18 m 0.23 m 1.815 m

a (1 - a / lo) + b1

= = =

the distance of c.g of concentrated load from nearer support 3.6 / 2 - 1.22 / 2 = 0.18 + 2 * 0.065 =

(Refer Cl.305.16.2)

= 2.6 x 1.19 x (1 - 1.19 / 1.593) + 0.31 (Dispersion width ends with in the deck slab) (Dispersion width of wheels overlaps in trans direction)

=

1.20 m 1.22 m 2.56 m

= =

=

Effective load in trans direction Effective width for design (In transverse direction)

= = =

40.00 t 1.25

= >

1.190 m 0.31 m 2.38 m 0.48 m

=

20.00 t

=

4.942 m

Page # 11

Project

: Four Laning of Tirupati-Tiruthani-Chennai Section of NH-205

Job Name : Design of Single Cell Box Culvert Subject

DESIGN OF BOX CULVERT 3M x 3M WITHOUT CUSHION

1.815 Crash Barrier 0.50

1.20

0.280 0.23

0.480 0.23

0.05

0.280 0.23

0.25

0.480 0.23

0.05

0.280 0.23

0.25

0.480 0.23

0.05

0.280 0.23

0.25

0.23 0.05 0.23

Dispersion along span direction (Refer Cl.305.16.3 of IRC:21)

=

0.263 + 2 x (0.065 + 0.6)

= >

1.593 m 1.220

Dispersion width for design (In longitudinal direction)

=

(IF(1.593>1.22,(1.593 + 1.22),1.593)

=

2.813 m

Total load Dispersion area Load per unit area

= = =

4.942 x 2.813 40 / 13.902

= = =

40.0 t 13.902 m2 2.88 t/m2

Load per unit area with I.F

=

2.878 x 1.25

=

3.60 t/m2

3.2

Class -A vehicle:

(Refer IRC : 6-2000,Cl. 207.1 )

3.2.1

Single Lane Class A 5.7 t

5.7 t

11.4 t

11.4 t

1800

500

1300

500 1200

2300 Transverse Total Load Impact factor

= =

Longitudinal = =

(Refer Cl.211.3 of IRC:6-1966)

Min. clear distance from C/B to the edge of the end wheel Distance between the axles in the dir. of traffic c/c distance between end wheels in trans direction

= = =

Contact width of tyre Contact breadth of tyre

= =

= =

Contact area

=

a b1 Effective width

= = =

=

a (1 - a / lo) + b1

= = =

the distance of c.g of concentrated load from nearer support 3.6 / 2 - 1.2 / 2 = 0.5 + 2 * 0.065 =

0.15

= >

=

0.90

500 mm 25 cm

0.50 m 0.50 m 0.90 m

(Refer Cl.305.16.2)

= 2.6 x 1.2 x (1 - 1.2 / 3.6) + 0.63 (Dispersion width crosses the deck slab) (Dispersion width of two wheels overlaps in trans direction)

Effective load in trans direction

Crash Barrier 0.50

0.15 m 1.20 m 1.80 m

500 x 250 mm

Contact width of tyre in a direction perpendicular to the span Wheel dimension perpendicular to span Distance from outer edge of kerb to c.g of wheel Effective width

22.80 t 1.469

1.200 m 0.63 m 2.71 m 1.8 m

11.40 t

1.800 0.50

1.30

0.50

Page # 12

Project

: Four Laning of Tirupati-Tiruthani-Chennai Section of NH-205

Job Name : Design of Single Cell Box Culvert Subject

3.2.2

DESIGN OF BOX CULVERT 3M x 3M WITHOUT CUSHION

Effective width for design (In transverse direction)

=

=

4.055 m

Dispersion along span direction (Refer Cl.305.16.3 of IRC:21)

=

0.25 + 2 x (0.065 + 0.6)

= >

1.58 m 1.200

Dispersion width for design (In longitudinal direction)

=

IF(1.58>1.2,(1.58 + 1.2),1.58)

=

2.780 m

Total load Dispersion area Load per unit area

= = =

4.055 x 2.78 22.8 / 11.273

= = =

22.8 t 11.27 m2 2.03 t/m2

Load per unit area with I.F

=

2.03 x 1.469

=

2.98 t/m2

Two Lane Class A 5.7 t

5.7 t 1800

500

1300

5.7 t 1700

500

1200

5.7 t

22.8 t

22.8 t

1800

500

1300

500 1200

5300 Transverse Total Load Impact factor

= =

Longitudinal = =

(Refer Cl.211.3 of IRC:6-1966)

Min. clear distance from C/B to the edge of the end wheel Distance between the axles in the direction of traffic c/c distance between end wheels in trans direction

= = =

Contact width of tyre Contact breadth of tyre

= =

= =

Contact area

=

a b1 Effective width

= = =

=

a (1 - a / lo) + b1

= = =

the distance of c.g of concentrated load from nearer support 3.6 / 2 - 1.2 / 2 = 0.5 + 2 * 0.065 =

= 2.6 x 1.2 x (1 - 1.2 / ) + 0.63 (Dispersion width crosses the deck slab) (Dispersion width of four wheels overlaps in trans direction)

0.90 0.15

= >

= 1.800

0.50

1.30

500 mm 25 cm

1.700 0.50

1.20

0.50 m 0.50 m 0.90 m

(Refer Cl.305.16.2)

Effective load in transverse direction

Crash Barrier 0.50

0.15 m 1.20 m 5.30 m

500 x 250 mm

Contact width of tyre in a direction perpendicular to the span Wheel dimension perpendicular to span Distance from outer edge of kerb to c.g of wheel Effective width

45.60 t 1.47

1.200 m 0.63 m 2.71 m 1.8 m

22.80 t

1.800 0.50

1.30

0.50

Page # 13

Project

: Four Laning of Tirupati-Tiruthani-Chennai Section of NH-205

Job Name : Design of Single Cell Box Culvert Subject

3.3

DESIGN OF BOX CULVERT 3M x 3M WITHOUT CUSHION

Effective width for design (In transverse direction)

=

=

7.555 m

Dispersion along span direction (Refer Cl.305.16.3 of IRC:21)

=

0.25 + 2 x (0.065 + 0.6)

= >

1.58 m 1.200

Dispersion width for design (In longitudinal direction)

=

IF(1.58>1.2,(1.58 + 1.2),1.58)

=

2.780 m

Total load Dispersion area Load per unit area

= = =

7.555 x 2.78 45.6 / 21.003

= = =

45.6 t 21.00 m2 2.18 t/m2

Load per unit area with I.F

=

2.18 x 1.46875

=

3.20 t/m2

= =

(Refer Cl.211.3 of IRC:6-1966)

= =

70.00 t 1.250

Min. clear distance from C/B to the edge of the end wheel Length of vehicle in span direction Contact width of tyre in a direction perpendicular to the span C/C distance of wheels in a direction perpendicular to span

= = = =

1.20 4.57 0.85 2.05

Distance from outer edge of C/barrier to c.g of wheel

=

70 R Tracked vehicle Total load Impact factor

Effective width a b1 Effective width

=

a a (1 - a / lo) + b1

= = =

the distance of c.g of concentrated load from nearer support 3.6 / 2 = 0.85 + 2 * 0.065 =

3.4

2.125 m

(Refer Cl.305.16.2)

= 2.6 x 1.8 x (1 - 1.8 / 3.6) + 0.98 (Dispersion width ends with in the deck slab) (Dispersion width of wheels overlaps in trans direction)

Effective total load in transvrse direction 2.125 Crash Barrier 0.50

m m m m

= >

1.800 m 0.98 m 3.32 m 2.05 m

=

70.00 t

=

5.370 m

=

5.90 m

=

5.900 m

2.050 1.20

0.85

1.20

0.85

Effective width for design (In transverse direction)

=

Dispersion along span direction (Refer Cl.305.16.3 of IRC:21)

=

Dispersion width for design (In longitudinal direction)

=

Total load Dispersion area Load per unit area

= = =

5.37 x 5.9 70 / 31.683

= = =

70.0 t 31.68 m2 2.21 t/m2

Load per unit area with I.F

=

2.21 x 1.25

=

2.763 t/m2

4.57 + 2 x (0.065 + 0.6)

Summary of Intensity of Loads: Loading 70R - Axle 'l' 70R - Axle 'm' 70R - Axle 'n' 1 Lane Class A 2 Lane Class A 70R-Track Design LL intensity for analysis

Intensity of Load (t/m2) 3.600 3.598 3.598 2.982 3.202 2.763 =

3.600 t/m2

Page # 14

Project

: Four Laning of Tirupati-Tiruthani-Chennai Section of NH-205

Job Name : Design of Single Cell Box Culvert Subject

4.0

: DESIGN OF BOX CULVERT 3M x 3M WITHOUT CUSHION

Design of Box Structure:

1 x 3 x 3 without Cushion Steel Bar mark ts1 ts2 ts3 ts4 ts5 ts6 w1 w2 w3 w4 w6 bs1 bs2 bs3 bs4 bs5 h1 h2 h3 h4

Theoretical curtailment point

C/L 25

18 17

26

27

26

28

29

27

28

30 29

18 17

16 16

15 15

14 14

13 12

13 1

1

2

4

3

2

3



5

4



6

Depth of member (D) Width of the meber (b) Grade of Concrete Used Grade of steel Charactristic strength of concrete (fck) Charactristic strength of steel (fy) Tensile strength of concrete (fctm) Design yield strength of shear reinforcement fywd = 0.8*fyk/γs Partial material safety factor for concrete (m) Partial material safety factor for Steel (s) Ultimate compressive strain in the concrete (єcu3) modulus of elasticity of reinforcing of steel (Es)

Factor  = () Effective depth of member (d)

= = = = = = = = = = = = = = = = = =

210 1000 M30 Fe 500 30 500 2.5 348 1.5 1.15 0.0035 200000 31000 6.45 0.00417 0.67 0.8 1 13.400 10.720 0.400 544.0

M/(bd2Fav) = kav Limiting Neutral axis depth (x lim) = (d*cu3)/(s+cu3)

= =

0.003 248.113 mm

modulus of elasticity of concrete (Ecm) modular ratio αe (Es/Ecm) Ultimate tensile strain in the steel (єs) = [{fy/(s xEs)}+0.002] Coefficient to consider the influence of the concret strength () Factor ( ) Factor () fcd = (*fck/m) Factor Fav (fcd)

= = =

mm mm

N/mm2 Table no:6.5 (IRC:112-2011) N/mm2 Table no:18.1 (IRC:112-2011) MPa MPa Basic Page 49: (IRC:112-2011) Basic Page 30: (IRC:112-2011) Up to fck ≤ Table no:6.5 (IRC:112-2011) N/mm2 Clause 6.2.2 (IRC:112-2011) MPa

Cube

A2.10 Page : 244 (IRC:112-2011)

0.8 Up to fck ≤ 60Mpa,Eq.A2-33 (IRC:112-2011); 0.8-((fck-60)/5

1.0 Up to fck ≤ 60Mpa,Eq.A2-35 (IRC:112-2011); 1.0-((fck-60)/2

Force in compression = Force in Tension from Fig. A2-4 - rectangular Tensile Strength fy*As s

=

fcd *x* b

As

=

s * Fav * x*b

=

Fav * x*b

fy M

=

fy*As *(d-x/2) s

x2 -dx + M/Fav*b x

=

fy*s * Fav * x*b *(d-x) s * fy

= = = = = = =

Fav * x*b *(d-x) 0 d-sqrt(d2-4**M/Fav*b)/(2*) d*(1-sqrt(1-4**M/Fav*b*d2))/(2*) d*(1-sqrt(1-4**kav))/(2*) 544x(1-sqrt1-4x0.4x0.003))/(2x0.4) 1.37320392 mm <

248.113

Safe

Page # 15

Project

: Four Laning of Tirupati-Tiruthani-Chennai Section of NH-205

Job Name : Design of Single Cell Box Culvert Subject

: DESIGN OF BOX CULVERT 3M x 3M WITHOUT CUSHION

Required reinforcement As

=

s * Fav * x*b

= =

fy 1.15x10.72x1.373x1000/ 500 33.8577158 mm2

Provide

2

No's

Provided reinfo

=

Neutral axis dep

=

=

20 628.32 mm2

>

33.86

Safe

248.113

Safe

fy*As * m s * fck * * b 471240 1.15x1x30x0.67x0.8x1000

=

25.480 mm

<

Shear design Longitudinal force (N ) of compression strutsEd(V ) Rd.max

= =

0

αcwbwzν1fcd =

αcwbwzν1fcd

(cotθ+tanθ)

(2/sin2θ)

=

Aswzfywdcotθ

ection without shear reinforcement (VRd.c)

=

s [0.12K(80ρ1.fck)0.33+0.15σcp]bw.d

Where K

=

νmin

=

σcp

=

0.031K3/2fck1/2 NEd/Ac
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