Doc. No.: Design Chainage: 37+284

Client:

GOVERNMENT OF ANDHRA Ref. No.: PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS Doc. No. WING NH CIRCLE VIJAYAWADA

TPI/201819/106

-

Project:

CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work:

DESIGN OF DECK SLAB

DESIGN CHAINAGE: 37+284

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

Client:

Ref. No.:

TPI/2018-19/106

Doc. No.

-

Project:

CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work:

DESIGN OF DECK SLAB 12

0.175

1.1 0.225

0.3

0.3

0.225 0.5

1.8 Cantilever LHS

1.1

2.8

Total no of Girder Clear Span of Super Structure Width of Super Structure Thickness of Crash Barrier at Top Thickness of Crash Barrier at Bottom Depth of Crash Barrier Thickness of Weraring Coat Depth of Deck Slab Depth of Cantilever Slab at End Depth of Slab at Face of Girder Depth of Slab at Face of Girder at cantilever portion Width of Girder Flange Width of Girder Support Web Width of Haunch Width of Girder Mid Web Type of Exposure Condition Total Depth of Girder With Slab Distance Between Two Girder Width of Bearing Clear Cover of Main Reinforcement Width of footpath HEIGHT OF PARAPET BETWEEN FOOTPATH & CARRIAGE WAY WIDTH OF PARAPET BETWEEN FOOTPATH & CARRIAGE WAY Thk Of Footpath Clear Carriageway Width

1.8

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

4 25 12 0.175 0.5 1.1 75 0.225 0.225 0.3 0.3 0.8 0.3 0.6 0 Moderate 1.1 2.8 500 40 0

Nos m m m m m mm m m m m m m m m

=

0

mm

=

0

mm

= =

0 11

mm m

m m mm mm mm

Client:

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

Ref. No.:

TPI/2018-19/106

Doc. No.

-

Project:

CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work:

DESIGN OF DECK SLAB

Material Properties Grade of Concrete Grade of Steel Density of Concrete Density of Wearing Coat

= = = =

35 500 25 22

fck Ecm fcm fctm fctm.fl α γm fcd fyd Modulus of Elasticity of Steel, ES

= = = = = = = = = =

35 32000 45 2.80 2.80 0.67 1.5 15.63 434.78 200000

Calculation For Cantilever Portion 1) Dead Load Height of Crash Barrier Weight of Crash Barrier Weight of Wearing Coat Weight of Footpath

= = = =

1.1 27.5 2.00 0.00

N/mm² N/mm² kN/m³ kN/m³ IRC:112-2011, Table-6.5 N/mm² N/mm² N/mm² N/mm² N/mm² For Basic & Seismic Combination N/mm² N/mm² N/mm²

m kN/m per m width kN/m² kN/m²

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

Client:

Ref. No.:

TPI/2018-19/106

Doc. No.

-

Project:

CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work:

DESIGN OF DECK SLAB

Unfactored Moment from STAAD

SW 4.30 0.00 6.60 0.00 6.71 2.44 2.38 0.00 0.85 0.00

Bending Moment kNm CB WC 12.31 0.42 0.00 0.00 15.81 0.81 0.00 0.00 17.57 0.69 4.87 0.37 11.96 0.00 0.00 0.44 8.22 0.00 0.00 0.44

LL 17.921 0 19.955 0 31.639 42.367 12.554 42.579 13.364 42.367

SW 7.51 9.75 9.47 4.97 2.72

Shear Force kN CB WC 13.75 1.29 13.75 1.80 9.35 2.10 9.35 0.90 9.35 0.25

LL 11.10 25.85 88.79 23.57 23.57

Location

Cantilever portion

Start of Haunch Face of Web Face of Web

Simply Supported

Start of Haunch Mid Span

Hogging sagging Hogging sagging Hogging sagging Hogging sagging Hogging sagging

Location Start of Haunch Face of Web Face of Web Start of Haunch Mid Span

Cantilever portion Simply Supported Factored Load

ULS

self Weight Crash Barrier Wearing coat Live Load

1.35 1.35 1.75 1.5

SLS Rare 1 1 1.2 1

Qausi 1 1 1.2 0

Client:

Project:

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

Doc. No.

-

DESIGN OF DECK SLAB

Location Start of Haunch Face of Web Face of Web Simply Supported

TPI/2018-19/106

CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work: Total factored Moment & Shear force

Cantilever portion

Ref. No.:

Start of Haunch Mid Span

Hogging sagging Hogging sagging Hogging sagging Hogging sagging Hogging sagging

SW 5.81 0.00 8.91 0.00 9.06 3.29 3.22 0.00 1.14 0.00

ULS Bending Moment kNm CB WC LL 16.61 0.73 26.8815 0.00 0.00 0 21.35 1.42 29.9325 0.00 0.00 0 23.72 1.21 47.4585 6.58 0.64 63.5505 16.15 0.00 18.831 0.00 0.77 63.8685 11.10 0.00 20.046 0.00 0.77 63.5505

ULS Shear Force kN SW CB WC LL Start of Haunch Cantilever 10.14 18.56 2.26 16.65 Face of Web portion 13.16 18.56 3.15 38.77 Face of Web 12.78 12.63 3.67 133.19 Simply Start of Haunch 6.71 12.63 1.57 35.36 Supported Mid Span 3.67 12.63 0.44 35.36 *As per IRC : 112-2011 CL.B3.2 page 278 top slab need not to check for shear in live load

Total 50.03 0.00 61.61 0.00 81.45 74.06 38.19 64.64 32.28 64.32

Location

SW 4.30 0.00 6.60 0.00 6.71 2.44 2.38 0.00 0.85 0.00

SLS (RARE) Bending Moment kNm CB WC LL 12.31 0.50 17.921 0.00 0.00 0 15.81 0.97 19.955 0.00 0.00 0 17.57 0.83 31.639 4.87 0.44 42.367 11.96 0.00 12.554 0.00 0.53 42.579 8.22 0.00 13.364 0.00 0.53 42.367

Total 35.03 0.00 43.34 0.00 56.75 50.12 26.90 43.11 22.43 42.90

SW 7.51 9.75 9.47 4.97 2.72

SLS(RARE) Shear Force kN CB WC LL 13.75 1.55 11.10 13.75 2.16 25.85 9.35 2.52 88.79 9.35 1.08 23.57 9.35 0.30 23.57

Total 33.91 51.51 110.13 38.97 35.94

Location

Cantilever portion

Start of Haunch Face of Web Face of Web

Simply Supported

Start of Haunch Mid Span

Hogging sagging Hogging sagging Hogging sagging Hogging sagging Hogging sagging

Location Cantilever portion Simply Supported

Start of Haunch Face of Web Face of Web Start of Haunch Mid Span

Total 30.96 34.88 29.08 20.90 16.73

Client:

Project:

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

Location Start of Haunch Face of Web Face of Web Simply Supported

Start of Haunch Mid Span

Simply Supported

Doc. No.

-

Hogging sagging Hogging sagging Hogging sagging Hogging sagging Hogging sagging

DESIGN OF DECK SLAB SLS (QUASI) Bending Moment kNm SW CB WC LL 4.30 12.31 0.50 0 0.00 0.00 0.00 0 6.60 15.81 0.97 0 0.00 0.00 0.00 0 6.71 17.57 0.83 0 2.44 4.87 0.44 0 2.38 11.96 0.00 0 0.00 0.00 0.53 0 0.85 8.22 0.00 0 0.00 0.00 0.53 0

Total 17.11 0.00 23.39 0.00 25.11 7.75 14.34 0.53 9.06 0.53

SLS(QUASI) Shear Force kN CB WC LL 13.75 1.55 0.00 13.75 2.16 0.00 9.35 2.52 0.00 9.35 1.08 0.00 9.35 0.30 0.00

Total 22.81 25.66 21.34 15.40 12.37

Location Cantilever portion

TPI/2018-19/106

CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work:

Cantilever portion

Ref. No.:

Start of Haunch Face of Web Face of Web Start of Haunch Mid Span

SW 7.51 9.75 9.47 4.97 2.72

Client:

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

Ref. No.:

TPI/2018-19/106

Doc. No.

-

Project:

CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work:

APPENDIX - I

Ultimate Limit State Combination Forces Summary for Basic Combination for ULS Combination Shear Bending Moment Element Location Section Force Hogging Sagging kN kNm kNm End of Crashbarrier A 30.96 50.03 0.00 Cantilever End of Haunch B 34.88 61.61 0.00 Deck End of Haunch C 29.08 81.45 74.06 Slab Simply Start of Haunch D 20.90 38.19 64.64 Supported Mid Span E 16.73 32.28 64.32 Grade of Concrete Grade of Reinforecement Modulus of Elasticity of Rienforcing of Steel Modulus of Elasticity of Concrete Tensile Strength of Concrete fcd fyd β1 β2 Clear Cover εcu 𝟎 𝟖𝟕 𝒇𝒚 𝑨𝒔𝒕

fck fy Es Ecm fctm

= = = = = = = = = = =

35 500 200000 32000 2.8 15.63 434.78 0.81 0.42 40 0.0035

Mpa Mpa Mpa Mpa Mpa Mpa Mpa

mm

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

Client:

TPI/2018-19/106

Doc. No.

-

CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

Project: work:

APPENDIX - I IRC:112-2011, Clause-16.5.1.1

𝟎. 𝟖𝟕 ∗ 𝒇𝒚 ∗ 𝑨𝒔𝒕 𝑫𝒆𝒑𝒕𝒉 𝒐𝒇 𝑵. 𝑨 = 𝟎. 𝟑𝟔 ∗ 𝒇𝒄𝒌 ∗ 𝒃

𝑴𝒐𝒎𝒆𝒏𝒕 𝒐𝒇 𝑹𝒆𝒔𝒊𝒔𝒕𝒂𝒏𝒄𝒆 = 𝟎. 𝟖𝟕 ∗ 𝒇𝒚 ∗ 𝑨𝒔𝒕 ∗ 𝒅 ∗ 𝟏 − 𝟎. 𝟒𝟐 ∗ 𝑨𝒔𝒕 =

Ref. No.:

𝑴𝒖 𝑿𝒖 𝟎. 𝟖𝟕 ∗ 𝒇𝒚 ∗ 𝒅 ∗ 𝟏 − 𝟎. 𝟒𝟐 ∗ 𝒅

𝑨𝒔𝒕, 𝒎𝒊𝒏 = 𝟎. 𝟐𝟔 ∗

𝑿𝒖 𝒅

% 𝒐𝒇 𝑺𝒕𝒆𝒆𝒍 =

𝟏𝟎𝟎 ∗ 𝑨𝒔𝒕 𝒃∗𝒅

𝒇𝒄𝒕𝒎 ∗ 𝒃𝒕 ∗ 𝒅 𝒃𝒖𝒕 𝒏𝒐𝒕 𝑳𝒆𝒔𝒔 𝒕𝒉𝒂𝒏 (𝟎. 𝟎𝟎𝟏𝟑 ∗ 𝒃𝒕 ∗ 𝒅) 𝒇𝒚𝒌

Main Reinforcement Sec. A B C D E

Sagging Moment kNm 0.00 0.00 74.06 64.64 64.32

H mm 279 300 300 225 225

Dia. mm 10 10 16 16 12

Reiforcement Spac. Dia. Spac. mm mm mm 250 0 250 250 0 250 200 0 200 200 0 200 200 12 200

d mm 234 255 252 177 179

Ast prov. mm² 314.16 314.16 1005.3 1005.3 1131

Ast Min. mm² 340.7 371.28 366.91 257.71 260.62

Ast Max. mm² 6975 7500 7500 5625 5625

Check

Xu

OK OK OK OK OK

mm 10.85 10.85 34.71 34.71 39.05

Xu,M ax mm 144.3 157.3 155.4 109.2 110.4

Chec k Xu OK OK OK OK OK

Z mm 229.5 250.5 237.6 162.6 162.8

Ast, Check Req. mm² 0.00 OK 0.00 OK 717.12 OK 914.88 OK 909.39 OK

Client:

Project: work: Hogging Sec. Moment kNm A 50.03 B 61.61 C 81.45 D 38.19 E 32.28

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

A to E A to E

Dia. mm 10 10

TPI/2018-19/106

Doc. No.

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CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

H mm 279 300 300 225 225

Dia. mm 12 12 12 12 12

Reiforcement Spac. Dia. Spac. mm mm mm 250 12 250 250 12 250 250 12 250 250 12 250 250 12 250

Distribution Reinforcement Sec.

Ref. No.:

Reiforcement Spac. Dia. mm mm 300 0 300 0

d mm 233 254 254 179 179

Ast prov. mm² 1131 1131 1131 1131 1131

APPENDIX - I Ast Ast Min. Max. mm² mm² 339.25 6975 369.82 7500 369.82 7500 260.62 5625 260.62 5625

Check

Xu

OK OK OK OK OK

mm 39.05 39.05 39.05 39.05 39.05

IRC:112-2011, Clause-16.6.1.1 (3)

Spac. mm 300 300

Ast Ast Check B.M prov. Req. mm² mm² 261.8 157.6 OK Hogging 261.8 183 OK Sagging

Xu,M ax mm 143.7 156.7 156.7 110.4 110.4

Chec k Xu OK OK OK OK OK

Z mm 216.8 237.8 237.8 162.8 162.8

Ast, Check Req. mm² 530.99 OK 596.07 OK 788.07 OK 539.97 OK 456.41 OK

Client:

Project:

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

Ref. No.:

TPI/2018-19/106

Doc. No.

-

CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work: Check for Shear Reinforcement Required

APPENDIX - I IRC:112-2015,Clause-10.3.2

Shear is Checked Without Live Load as Dispersion is Calculated as per Annexure B-3, Clause-B-3.2 of IRC:112-2011 𝑽𝒓𝒅𝒄 = 𝟎. 𝟏𝟐 ∗ 𝑲 ∗ 𝟖𝟎 ∗ 𝒑𝟏 ∗ 𝒇𝒄𝒌 𝟎.𝟑𝟑 + 𝟎. 𝟏𝟓 ∗ 𝝈𝒄𝒑 ∗ 𝒃𝒘 ∗ 𝒅 𝑺𝒖𝒃𝒋𝒆𝒄𝒕𝒆𝒅 𝒕𝒐 𝒂 𝑴𝒊𝒏𝒊𝒎𝒖𝒎 𝒐𝒇 𝑽𝒓𝒅𝒄 = 𝑽𝒎𝒊𝒏 + 𝟎. 𝟏𝟓 ∗ 𝝈𝒄𝒑 ∗ 𝒃𝒘 ∗ 𝒅 𝟑

𝟏

𝑽𝒎𝒊𝒏 = 𝟎. 𝟎𝟑𝟏 ∗ 𝑲𝟐 ∗ 𝒇𝒄𝒌𝟐 𝑨𝒔𝒕 𝒑𝟏 = ≤ 𝟎. 𝟎𝟐 𝒃𝒘 ∗ 𝒅 𝒌=𝟏+

𝟐𝟎𝟎 ≤ 𝟐. 𝟎 𝒅

Sec.

Ved

d

k

Ast

p1

Vmin

Ned

σcp

Vrdc

Check

A B C D E

kN 30.96 34.88 29.08 20.90 16.73

mm 234 255 252 177 179

1.92 1.89 1.89 2.00 2.00

mm² 1131 1131 1131 1131 1131

0.005 0.004 0.004 0.006 0.006

kN 0.49 0.475 0.477 0.519 0.519

kN 0 0 0 0 0

0.00 0.00 0.00 0.00 0.00

127.67 132.5 131.82 110.04 110.87

Shear Reinforcement Not Required Shear Reinforcement Not Required Shear Reinforcement Not Required Shear Reinforcement Not Required Shear Reinforcement Not Required

Client:

Project:

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

𝑽𝒓𝒅 𝒎𝒂𝒙 𝑽𝒓𝒅𝒔 γ

A B

= =

=

Vrd

Sec.

= = =

=

𝜸

TPI/2018-19/106

Doc. No.

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CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work: Design of Shear Reinforcement Asw Z θ

Ref. No.:

=

Ved

d

kN 30.96 34.88

mm 234 255

APPENDIX - I IRC:112-2011,Clause-10.3

Cross- Sectional Area of Shear Reinforcement 0.9*d , Lever Arm for R.C Section 45 Degree Adopted θ for Calculation of Vrd max 𝒇𝒄𝒅 𝜶𝒄𝒘 ∗ 𝒃𝒘 ∗ 𝒁 ∗ 𝜸 ∗ 𝑪𝒐𝒕𝜽 + 𝒕𝒂𝒏𝜽 𝑨𝒔𝒘 ∗ 𝒁 ∗ 𝒇𝒚𝒘𝒅 ∗ 𝑪𝒐𝒕𝜽 𝑺 0.532 Is Strength Reduction Factor for Concrete Cracked in Shear 𝟎. 𝟔 ∗ 𝟏 −

𝒇𝒄𝒌 𝟑𝟏𝟎

For Member With Vertical Shear Reinforcement, the Shear Resistance Vrd is Smaller Value of "Vrds" and "Vrd,max"

Reinforcement Dia. Spac. mm mm 8 200 8 200

Asw

Z

mm² mm 251.3 210.6 251.3 229.5

αcw 1 1

Vrd, max kN 876.2 954.8

θ

Vrds

Vrd

Deg. 1.01 1.05

kN 6510 6863.76

kN 876.2 954.8

Check OK OK

Client:

Project:

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

A B C D E

TPI/2018-19/106

Doc. No.

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CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work: Check for Shear Capacity

Sec.

Ref. No.:

APPENDIX - I

Ved

b

d

0.5*b*d*γ*fcd

Check Ved< 0.5*b*d*γ*fcd

kN 30.96 34.88 29.08 20.90 16.73

mm 1000 1000 1000 1000 1000

mm 234 255 252 177 179

973.55 1060.92 1048.44 736.41 744.73

OK OK OK OK OK

Check For Additional Shear ∆𝑭𝒅 = 𝟎. 𝟓 ∗ 𝑽𝒆𝒅 ∗ 𝑪𝒐𝒕𝜽

Sec. A B C D E

∆Fd kN 15.48 17.44 14.54 10.45 8.37

Sagging Moment kNm 0.00 0.00 74.06 64.64 64.32

∆Fd is Additional Tensile Force in the Longitudnal Reinforcement

Check for Sagging Moment Med/Z+ Mor/ Z Mor ∆Fd Z mm kN kNm kN 216.8 15.48 31.36 144.7 237.8 17.44 34.23 144 237.8 326.05 103.8 436.7 162.8 407.61 71.03 436.4 162.8 403.57 80 491.5

Check OK OK OK OK OK

Hoggin g kNm 50.03 61.61 81.45 38.19 32.28

Check for Hogging Moment Med/Z+ Mor/ Z Mor ∆Fd Z mm kN kNm kN 216.76 246.293 106.6 491.6 237.76 276.556 116.9 491.6 237.76 357.125 116.9 491.6 162.76 245.111 80 491.5 162.76 206.712 80 491.5

Check OK OK OK OK OK

Client:

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

Ref. No.:

TPI/2018-19/106

Doc. No.

-

Project:

CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work:

APPENDIX - I

Serviceability Limit State-Rare & Quasi Combination Forces Summary for SLS Check Element

Location Cantilever

Deck Slab

Simply Supported

End of Crashbarrier End of Haunch End of Haunch Start of Haunch Mid Span

Sec. A B C D E

Rare-Combination Shear B.M. Force Hogging Sagging kN kNm kNm 33.91 35.03 0.00 51.51 43.34 0.00 110.13 56.75 50.12 38.97 26.90 43.11 35.94 22.43 42.90

Quasi-Combination Shear B.M. Force HoggingSagging kN kNm kNm 22.81 17.11 0.00 25.66 23.39 0.00 21.34 25.11 7.75 15.40 14.34 0.53 12.37 9.06 0.53

Stress Calculation in Concrete and Reinforcement Moduar Ratio ' m ' = Es/Ecm < Ecm' is Modulus of Elasticity Steel for Long Term Loading From IRC:112-2011, Clasue-6.4.2.5 Point No.4, Ecm can be Modified by a Factor (1/(1+Φ)) Accounting for Long Term Creep Effect Where Φ is the Creep Co-efficient Defien by EQ-6.9 and the Table 6.9. The Development of Creep With time may be taken as 𝟎.𝟑 𝒕 − 𝒕𝟎 𝜱 𝒕, 𝒕𝟎 = 𝜷 𝒕, 𝒕𝟎 ∗ 𝜱 𝜶, 𝒕𝟎 𝜷 𝒕, 𝒕𝟎 = 𝜷𝑯 + 𝒕 − 𝒕𝟎 Ac = 3E+05 mm² Cross Sectional Area u = 3600 mm Perimeter in Contact with atmoshpher Notational Size "ho" = 166.7 mm 2Ac/u

Client:

Project:

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

TPI/2018-19/106

Doc. No.

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CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work: Where, t t0 (t-t0) RH RH0 α βH β(t-t0) Φ(α,to) Φ(t,to) E

Ref. No.:

APPENDIX - I = = = = = = = = = = =

25550 90 25460 80 100 1 619.9 0.993 1.38 1.37 32000

is the Age of Concrete in days at the time Considered. (70 Years) is the Age of Concrete in days at the time Loading. is the Actual Duration of Loading in days. % Relative Humidity Expressed as % % 𝜷𝑯 = 𝟏. 𝟓[𝟏 + 𝟏. 𝟐 ∗ <

1500

𝜷𝑯 = 𝟏. 𝟓[𝟏 + 𝟏. 𝟐 ∗

𝑹𝑯 𝑹𝑯𝟎

𝟏𝟖

𝑹𝑯 𝑹𝑯𝟎

𝟏𝟖

Mpa

Grade of Concrete = 35 Mpa Grade of Reinforecement = 500 Mpa Modulus of Elasticity of Steel, ES = 2E+05 Mpa Permissible Compressive Stress = 16.8 Mpa Permissible Compressive Stress = 12.6 Mpa Permissible Tensile Stress = 400 Mpa m = Modular Ratio Ast = Area of Provided Reinforcement b = Breadth of Structure

Rare Quasi

IRC:112-2011,Clause-12.2.1 (1) IRC:112-2011,Clause-12.2.2

𝒉𝟎 + 𝟐𝟓𝟎

𝒉𝟎 + 𝟐𝟓𝟎𝜶

Client:

Project:

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

Ref. No.:

TPI/2018-19/106

Doc. No.

-

CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work:

APPENDIX - I

d Xu

= =

Depth of Structure Depth of Neutral Axis

INA

= = =

Moment of Inertia Mean Flexural Tensile Strength Total Depth of Member

fctm H

𝒃𝒉𝟑 𝟏𝟐 𝒃 ∗ 𝑿𝒖𝟑 𝑰𝑵𝑨 𝑪𝒓𝒂𝒄𝒌𝒆𝒅 = + 𝒎 ∗ 𝑨𝒔𝒕 ∗ 𝒅 − 𝑿𝒖 𝟑

IRC:112-2011, Table-6.5

𝑰 𝑼𝒏𝒄𝒓𝒂𝒌𝒄𝒆𝒅 =

𝟐

𝑿𝒖 𝑰𝑵𝑨 𝒅 − 𝑿𝒖 𝑻𝒆𝒏𝒔𝒊𝒍𝒆 𝑺𝒕𝒓𝒆𝒔𝒔 𝒊𝒏 𝑺𝒕𝒆𝒆𝒍, 𝝈𝒔𝒕 = 𝒎 ∗ 𝑴 𝑹𝒂𝒓𝒆 ∗ 𝑰𝑵𝑨 𝑯 𝒇𝒄𝒕𝒎, 𝒇𝒍 = 𝑴𝒂𝒙 𝟏. 𝟔 − ∗ 𝒇𝒄𝒕𝒎, 𝒇𝒄𝒕𝒎 𝟏𝟎𝟎𝟎

𝑪𝒐𝒎𝒑𝒓𝒆𝒔𝒔𝒊𝒗𝒆 𝑺𝒕𝒓𝒆𝒔𝒔 𝒊𝒏 𝑪𝒐𝒏𝒄𝒓𝒆𝒕𝒆, 𝝈𝒄 = 𝑴 𝑹𝒂𝒓𝒆 ∗

IRC:112-2011, Clause-6.4.2.3, EQ-6.6

Sec.

B

D

u

Ac

ho

Φ(α,to)

𝟏 𝟏+𝜱

Ecm

A B C D

1400 800 800 800

225 300 300 225

3250 2200 2200 2050

3E+05 3E+05 3E+05 3E+05

184.62 272.73 272.73 292.68

1.38 1.35 1.35 1.34

0.419 0.426 0.426 0.428

13419 13643 13643 13695

Client:

Project:

E

work: 2000

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

Ref. No.:

TPI/2018-19/106

Doc. No.

-

CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

225

4450 3E+05

134.83

1.42

0.414

APPENDIX - I 13250

Client:

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

Ref. No.:

TPI/2018-19/106

Doc. No.

-

Project:

CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work:

APPENDIX - I

Stress Check for SLS Load Combination (Rare) Ast, σc S.M H d Ecm I Y/2 fctm,fl Sec. Prov. Stress kNm mm mm mm² Mpa mm4 mm Mpa Mpa A 0.00 279 233 314.2 13419 1.1E+09 139.5 0.00 2.8 B 0.00 300 254 314.2 13643 1.4E+09 150 0.00 2.8 C 50.12 300 254 1005 13643 1.4E+09 150 5.51 2.8 D 43.11 225 179 1005 13695 4.8E+08 112.5 10.15 2.8 E 42.90 225 179 1131 13250 4.8E+08 112.5 10.10 2.8

Sec. A B C D E

H.M

H

d

kNm 35.03 43.34 56.75 26.90 22.43

mm 279 300 300 225 225

mm 233 254 254 179 179

Ast, Prov. mm² 1131 1131 1131 1131 1131

σc fctm,fl Stress Mpa mm4 mm Mpa Mpa 13419 1.1E+09 139.5 4.64 2.8 13643 1.4E+09 150 4.76 2.8 13643 1.4E+09 150 6.23 2.8 13695 4.8E+08 112.5 6.33 2.8 13250 4.8E+08 112.5 5.28 2.8 Ecm

I

Y/2

Crack/ Uncrack

m

Xu

INA

σc (C)

σst

Uncracked Uncracked Cracked Cracked Cracked

1E+01 14.66 14.66 14.6 15.09

mm 10.846 10.846 34.707 34.707 39.046

mm4 1E+09 1E+09 7E+08 3E+08 4E+08

Mpa 0.00 0.00 2.41 4.68 4.73

Mpa 0 0 223 284.2 255.8

Crack/ Uncrack

m

Xu

INA

σc (C)

σst

mm4 7E+08 8E+08 8E+08 3E+08 4E+08

Mpa 2.09 2.15 2.82 3.06 2.47

Mpa 154.8 173.8 227.6 160.1 133.8

Cracked Cracked Cracked Cracked Cracked

mm 14.9 39.046 14.66 39.046 14.66 39.046 14.6 39.046 15.09 39.046

Check OK OK OK OK OK

Check OK OK OK OK OK

Client:

Project:

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

A B C D E

TPI/2018-19/106

Doc. No.

-

CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work: APPENDIX - I Stress Check for SLS Load Combination (Quasi) Ast, σc S.M H d Ecm I Y/2 fctm,fl Crack/ Sec. Prov. Stress Uncrack kNm mm mm mm² Mpa mm4 mm Mpa Mpa Uncracked A 0.00 279 233 314.2 13419 1.1E+09 139.5 0.00 2.8 Uncracked B 0.00 300 254 314.2 13643 1.4E+09 150 0.00 2.8 Uncracked C 7.75 300 254 1005 13643 1.4E+09 150 0.85 2.8 Uncracked D 0.53 225 179 1005 13695 4.8E+08 112.5 0.12 2.8 Uncracked E 0.53 225 179 1131 13250 4.8E+08 112.5 0.12 2.8

Sec.

Ref. No.:

H.M

H

d

kNm 17.11 23.39 25.11 14.34 9.06

mm 279 300 300 225 225

mm 233 254 254 179 179

Ast, Prov. mm² 1131 1131 1131 1131 1131

σc fctm,fl Stress Mpa mm4 mm Mpa Mpa 13419 1.1E+09 139.5 2.26 2.80 13643 1.4E+09 150 2.57 2.80 13643 1.4E+09 150 2.76 2.80 13695 4.8E+08 112.5 3.38 2.80 13250 4.8E+08 112.5 2.13 2.80 Ecm

I

Y/2

m

Xu

mm 14.9 10.846 14.66 10.846 14.66 34.707 14.6 34.707 15.09 39.046

INA

σc (C)

σst

mm4 1E+09 1E+09 1E+09 5E+08 5E+08

Mpa 0.00 0.00 0.20 0.04 0.04

Mpa 0 0 18.25 2.333 2.339

Crack/ Uncrack

m

Xu

INA

σc (C)

σst

Uncracked Uncracked Uncracked Cracked Uncracked

14.9 14.66 14.66 14.6 15.09

mm 39.046 39.046 39.046 39.046 39.046

mm4 1E+09 1E+09 1E+09 3E+08 5E+08

Mpa 0.04 0.05 0.05 0.11 0.05

Mpa 3.15 3.68 3.95 5.85 2.65

Check OK OK OK OK OK

Check OK OK OK OK OK

Client:

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

Project:

Doc. No.

-

APPENDIX - I

Minimum Area of Reinforcement for Crack Control may be Calculated as Follow

IRC:112-2011,Clasue-12.3.3

𝒌 ∗ 𝒌 ∗ 𝒇𝒄𝒕, 𝒆𝒇𝒇 ∗ 𝑨𝒄𝒕 𝝈𝒔

Act σs fct,eff k kc 𝑘𝑐 = 0.4 ∗ 1 −

k1

TPI/2018-19/106

CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work: Crack Width Check for SLS Load Combination (Quasi Permanent) 1) Check Ast,min For Crack Control

𝑨𝒔𝒎𝒊𝒏 =

Ref. No.:

= = = = =

is the Area of Concrete Within the Tensile Zone Act = b*(h-Xu) 500 Mpa Absolute Value of Max/ Stress Permitted 2.80 Mpa 1 is the Coeffecient Which allows for the effect of Non-linear self-equilibrating Stresses is the Coefficient Which takes account of the Stress Distribution within the Section.

σ𝑐 ≤1 ℎ 𝑘1 ∗ ∗ ∗ 𝑓𝑐𝑡, 𝑒𝑓𝑓 ℎ

=

1.5

if Ned is a Compressive Force

Client:

Project:

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

A B C D E

TPI/2018-19/106

Doc. No.

-

CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work: For Sagging Moment Sec.

Ref. No.:

H

d

mm 279 300 300 225 225

mm 233 254 254 179 179

APPENDIX - I Act

σc

mm² Mpa 2E+05 0.00 2E+05 0.00 2E+05 0.00 1E+05 0.00 1E+05 0.00

h*

fct,eff

k

k1

kc

mm 0.279 0.3 0.3 0.225 0.225

Mpa 2.80 2.80 2.80 2.80 2.80

1 1 1 1 1

0.6667 0.6667 0.6667 0.6667 0.6667

0.4 0.4 0.4 0.4 0.4

h*

fct,eff

k

k1

kc

mm 0.279 0.3 0.3 0.225 0.225

Mpa 2.80 2.80 2.80 2.80 2.80

1 1 1 1 1

0.6667 0.6667 0.6667 0.6667 0.6667

0.4 0.4 0.4 0.4 0.4

Ast, min mm² 497.63 544.67 491.22 323.22 313.5

Ast, Prov. mm² 314.2 314.2 1005 1005 1131

Ast, min mm² 434.46 481.5 481.5 313.5 313.5

Ast, Prov. mm² 1131 1131 1131 1131 1131

Check NOTOK NOTOK OK OK OK

For Hogging Moment Sec. A B C D E

H

d

mm 279 300 300 225 225

mm 233 254 254 179 179

Act

σc

mm² Mpa 2E+05 0.00 2E+05 0.00 2E+05 0.00 1E+05 0.00 1E+05 0.00

Check OK OK OK OK OK

Client:

Project:

2)

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

TPI/2018-19/106

Doc. No.

-

CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work: Check for Maximum Spacing

For Sagging Moment Bar Max Sec. Dai. Dai. mm mm A 10 32 B 10 32 C 16 32 D 16 32 E 12 32 3)

Ref. No.:

Spacing Prov. Req. mm mm 250 300 250 300 200 300 200 300 200 300

APPENDIX - I IRC:112-2011, Clause-12.3.6, Table-12.2, Table-12.3

Check OK OK OK OK OK

For Hogging Moment Bar Max Sec. Dai. Dai. mm mm A 12 32 B 12 32 C 12 32 D 12 32 E 12 32

Spacing Prov. Req. mm mm 250 300 250 300 250 300 250 300 250 300

Check OK OK OK OK OK

Check for Crack Width

The Crack Width, Wk, may be Calculated from

IRC:112-2011, Clause-12.3.4

𝑾𝒌 = 𝑺𝒓, 𝒎𝒂𝒙 ∗ (𝜺𝒔𝒎 − 𝜺𝒄𝒎) Sr,max

=

Maximum Crack Spacing 𝟎. 𝟏𝟕 ∗ 𝜱 𝑺𝒓, 𝒎𝒂𝒙 = 𝟑. 𝟒𝒄 + 𝒆𝒇𝒇 𝝆𝒑𝒆𝒇𝒇 𝝈𝒔𝒄 − 𝒌𝒕 ∗ 𝒇𝒄𝒕, ∗ 𝟏 + 𝜶𝒆 ∗ 𝝆𝒑𝒆𝒇𝒇 𝝆𝒑𝒆𝒇𝒇 𝑨𝒔 𝜺𝒔𝒎 − 𝜺𝒄𝒎 = 𝝆𝒑𝒆𝒇𝒇 = 𝐄𝐬 𝑨𝒄, 𝒆𝒇𝒇 kt = 0.5 Factor Dependent on the Duration of Load Crack Width = 0.3 mm

≥ 𝟎. 𝟔 ∗

𝝈𝒔𝒄 𝑬𝒔

Client:

Project:

GOVERNMENT OF ANDHRA PRADESHROAD AND BUILDING DEPARTMENT NATIONAL HIGHWAYS WING NH CIRCLE VIJAYAWADA

A B C D E

TPI/2018-19/106

Doc. No.

-

CONSTRUCTION OF PROPOSED TWO LANE ROB AND ITS APPROACHES IN LIEU OF EXISTING LC NO.414 AT km 33/100 (RAILWAY CH.730/11-13) ON NH-326A IN THE STATE OF ANDHRA PRADESH.

work: For Sagging Moment Sec.

Ref. No.:

APPENDIX - I

hc,eff

Ac,eff

As

mm 89.385 96.385 88.431 63.431 61.985

mm² 89385 96385 88431 63431 61985

mm² 314.2 314.2 1005 1005 1131

ρpeff 0.004 0.003 0.011 0.016 0.018

Dia Φ mm 10 10 16 16 12

Clear Cover mm 40 40 40 40 40

Sr, max mm 619.7 657.6 375.3 307.6 247.8

Clear Cover mm 40 40 40 40 40

Sr, max mm 280.3 292.9 292.9 247.8 247.8

INA mm4 1E+09 1E+09 1E+09 5E+08 5E+08

Mor

σsc

Xu

kNm Mpa mm 31.219 0 10.85 34.089 0 10.85 104.7 18.249 34.71 71.904 2.3332 34.71 79.995 2.3391 39.05

αe

εsm-εcm

Wk

Check

6.25 6.25 6.25 6.25 6.25

0.0000 0.0000 0.0001 0.0000 0.0000

0 0 0.021 0.002 0.002

OK OK OK OK OK

αe

εsm-εcm

Wk

Check

6.25 6.25 6.25 6.25 6.25

0.0000 0.0000 0.0000 0.0000 0.0000

0.003 0.003 0.003 0.004 0.003

OK OK OK OK OK

For Hogging Moment Sec. A B C D E

hc,eff

Ac,eff

As

mm 79.985 86.985 86.985 61.985 61.985

mm² 79985 86985 86985 61985 61985

mm² 1131 1131 1131 1131 1131

ρpeff 0.014 0.013 0.013 0.018 0.018

Dia Φ mm 12 12 12 12 12

INA

Mor

σsc

Xu

mm4 1E+09 1E+09 1E+09 3E+08 5E+08

kNm 106.56 116.89 116.89 79.995 79.995

Mpa 3.15 3.68 3.95 5.85 2.65

mm 39.05 39.05 39.05 39.05 39.05