15-02-2024
CE 509
BRIDGE ENGINEERING
Dr. SHIVANG SHEKHAR SINGH
SCHOOL OF CIVIL AND ENVIRONMENTAL ENGINEERING
INDIAN INSTITUTE OF TECHNOLOGY MANDI
Lecture 14
T-Beam Bridge Superstructure (Contd.)
Pictures and schematic demonstrations used in this presentation are gathered from several online sources and printed materials.
These pictures are intended for academic illustration purposes only and are not meant to be copied and used otherwise.
CE 509
Bridge Engineering
1
15-02-2024
RECAP
 Pigeaud’s Method
 Courbon’s Method
*Pictures are taken for academic illustration purpose only
CE 509
Bridge Engineering
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Steps
1. Assume preliminary dimension
2. Analysis and design of deck slab
3. Analysis and design of cantilever slab
4. Analysis and design of longitudinal girder
5. Analysis and design of cross-girder
*Pictures are taken for academic illustration purpose only
CE 509
Bridge Engineering
2
15-02-2024
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
*Pictures are taken for academic illustration purpose only
CE 509
Bridge Engineering
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
*Pictures are taken for academic illustration purpose only
CE 509
Bridge Engineering
3
15-02-2024
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
*Pictures are taken for academic illustration purpose only
CE 509
Bridge Engineering
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
*Pictures are taken for academic illustration purpose only
CE 509
Bridge Engineering
4
15-02-2024
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
*Pictures are taken for academic illustration purpose only
CE 509
Bridge Engineering
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
*Pictures are taken for academic illustration purpose only
CE 509
Bridge Engineering
5
15-02-2024
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
Calculation of BM and SF due to LL
Class AA tracked vehicle
1.2 m
The position of vehicle across the cross section
*Pictures are taken for academic illustration purpose only
CE 509
Bridge Engineering
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
Calculation of BM and SF due to LL
Class AA tracked vehicle
Courbon’s Method
Reaction factor: The reaction factor for the ith
girder RFi is defined as
The position of vehicle across the cross section
*Pictures are taken for academic illustration purpose only
CE 509
Bridge Engineering
6
15-02-2024
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
Calculation of BM and SF due to LL
Class AA tracked vehicle
The position of vehicle across the cross section
*Pictures are taken for academic illustration purpose only
CE 509
Bridge Engineering
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
Calculation of BM and SF due to LL
Class AA tracked vehicle
The position of vehicle across the cross section
*Pictures are taken for academic illustration purpose only
CE 509
Bridge Engineering
7
15-02-2024
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
Calculation of BM and SF due to LL
Class AA wheeled vehicle
= 1.2 m
*Pictures are taken for academic illustration purpose only
Bridge Engineering
CE 509
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
Calculation of BM and SF due to LL
Class AA wheeled vehicle
= 1.2 m
1.2 + 0.15
Position of Class AA wheeled vehicle across the
cross section
*Pictures are taken for academic illustration purpose only
CE 509
Bridge Engineering
8
15-02-2024
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
Calculation of BM and SF due to LL
Class AA wheeled vehicle
1.2 + 0.15
Position of Class AA wheeled vehicle across the
cross section
*Pictures are taken for academic illustration purpose only
Bridge Engineering
CE 509
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
Calculation of BM and SF due to LL
Two lanes of Class A vehicle
= 1.2 m
0.15 + 0.25
Position of two lanes Class A vehicle across the cross section
*Pictures are taken for academic illustration purpose only
CE 509
Bridge Engineering
9
15-02-2024
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
Calculation of BM and SF due to LL
Two lanes of Class A vehicle
Position of two lanes Class A vehicle across the cross section
*Pictures are taken for academic illustration purpose only
Bridge Engineering
CE 509
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
Calculation of BM and SF due to LL
Courbon’s Method
RF using Courbon’s Method
Reaction factor: The reaction factor for the ith
girder RFi is defined as
Girder A
Girder B
Girder C
Class AA tracked
0.52P
0.33P
0.15P
Class AA wheeled
0.55P
0.33P
0.12P
Two lanes of Class
A vehicle
0.45P
0.33P
0.22P
*Pictures are taken for academic illustration purpose only
CE 509
Bridge Engineering
10
15-02-2024
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
Calculation of BM and SF due to LL
M and V due to Class AA tracked vehicle
Position of load for maximum M and V
*Pictures are taken for academic illustration purpose only
Bridge Engineering
CE 509
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
Calculation of BM and SF due to LL
M and V due to Class AA tracked vehicle
RF using Courbon’s Method
Girder A
Girder B
Girder C
Class AA tracked
0.52P
0.33P
0.15P
Class AA wheeled
0.55P
0.33P
0.12P
Two lanes of Class
A vehicle
0.45P
0.33P
0.22P
*Pictures are taken for academic illustration purpose only
CE 509
Bridge Engineering
11
15-02-2024
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
P/2 P/2
Analysis and design of longitudinal girder
1.2 m
Calculation of BM and SF due to LL
M and V due to Class AA wheeled vehicle
Max. Shear = 466 kN
*Pictures are taken for academic illustration purpose only
Bridge Engineering
CE 509
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
P/2
P/2
Analysis and design of longitudinal girder
1.2 m
Calculation of BM and SF due to LL
M and V due to Class AA wheeled vehicle
Max. Moment = 1675 kN-m
*Pictures are taken for academic illustration purpose only
CE 509
Bridge Engineering
12
15-02-2024
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
P/2
P/2
Analysis and design of longitudinal girder
1.2 m
Calculation of BM and SF due to LL
M and V due to Class AA wheeled vehicle
M and V for end long. Girder
RF = 0.55
M = 0.55 x 1675 = 910.25 kN-m
V = 0.55 x 466 = 256.3 kN
M and V for interior long. Girder
RF = 0.33
M = 0.33 x 1675 = 552.75 kN-m
V = 0.33 x 466 = 153.78 kN
*Pictures are taken for academic illustration purpose only
Bridge Engineering
CE 509
T-BEAM BRIDGE - ANALYSIS AND DESIGN
Design a reinforced concrete tee beam bridge for the following data: Width of the carriage way = 7.5 m Effective span = 15 m
Kerbs on either side = 0.6 m × 0.3 m Thickness of wearing coat = 75 mm Grade of steel = Fe 415 Exposure condition =
Moderate. Consider live loads – As per IRC:6
Analysis and design of longitudinal girder
Calculation of BM and SF due to LL
M and V due to two lanes of Class A vehicle
15 m
*Pictures are taken for academic illustration purpose only
CE 509
Bridge Engineering
13