r_71.1994.08.302_r0.pdf
TRANSCRIPT
HINDUSTAN CONSTRUCTION CO. LTD
SAINJ Hydro Electric Project
STRUCTURAL DESIGN OF POWER HOUSE COMPLEX (FIRST STAGE CONSTRUCTION)
Report No. R-71.1994.08.302
December / 2012
Hydropower Department
Structural Design of Power House Complex ( First Stage Construction) 2/61
Table of Contents
Page
ANNEXURES ................................................................................................................................ 3
Annexure 1 STAAD PRO- Analysis Results.................................................................................... 3
Annexure 2 Structural Design of different components. ................................................................... 3
LIST OF REFERENCES ................................................................................................................ 3
1 INTRODUCTION ........................................................................................................ 4
1.1 POWER HOUSE COMPLEX ...................................................................................... 4
1.2 SCOPE OF THE PRESENT REPORT ......................................................................... 4
2 GEOMETRY OF THE STRUCTURE .......................................................................... 5
3 MATERIAL PROPERTIES ......................................................................................... 8
3.1 CONCRETE PROPERTIES ......................................................................................... 8
4 BOUNDARY CONDITIONS ...................................................................................... 8
4.1 FIRST STAGE CONCRETE MODEL ......................................................................... 8
4.2 SECOND STAGE CONCRETE MODEL .................................................................... 8
5 DESIGN LOADS & LOAD COMBINATION ............................................................ 10
5.1 DEAD LOAD ............................................................................................................. 11
5.2 CRANE LOAD ........................................................................................................... 11 5.2.1 EOT Crane load data (First Stage Model) .................................................................... 11 5.2.2 EOT Crane load data (Second Stage Model) ............................................................... 11
5.3 EARTHQUAKE LOAD .............................................................................................. 12
5.4 LOAD COMBINATIONS ........................................................................................... 13
6 DESIGN OF VARIOUS CONCRETE ELEMENTS ................................................... 13
6.1 CRANE BEAM ........................................................................................................... 13 6.1.1 Modelling & Analysis ................................................................................................. 13 6.1.2 Design Criteria ............................................................................................................ 14
6.2 CRANE COLUMNS ................................................................................................... 14 6.2.1 Modelling & Analysis ................................................................................................. 14 6.2.2 Design Criteria ............................................................................................................ 14
6.3 FLOOR BEAMS ......................................................................................................... 15 6.3.1 Design Criteria ............................................................................................................ 15
6.4 TIE BEAMS ................................................................................................................ 15
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6.4.1 Design Criteria ............................................................................................................ 15
6.5 INTERMEDIATE FLOOR COLUMNS ...................................................................... 15
6.5.1 Design Criteria ............................................................................................................ 15
6.6 CRANE AND INTERMEDIATE FLOOR COLUMNS FOUNDATION .................... 15 6.6.1 Design Criteria ............................................................................................................ 15
7 RESULTS ................................................................................................................... 16
7.1 Results for Crane- Beams ............................................................................................ 16
7.2 Results for Crane-Column ........................................................................................... 17
7.3 Results for Floor Beams .............................................................................................. 18
7.4 Results for Tie Beams ................................................................................................. 18
7.5 Results for Intermediate Columns ................................................................................ 19
8 REINFORCEMENT PROPOSED ............................................................................... 20
8.1 Crane-Beams ............................................................................................................... 20
8.2 Crane-Columns ........................................................................................................... 20
8.3 Floor-Beams ................................................................................................................ 20
8.4 Tie-Beams ................................................................................................................... 21
8.5 Intermediate-Columns ................................................................................................. 21
9 CONCLUSIONS ......................................................................................................... 22
ANNEXURES
Annexure 1 STAAD PRO- Analysis Results. Annexure 2 Structural Design of different components.
LIST OF REFERENCES
[1] IS 456 – 2000 – “Plain and Reinforced Concrete – Code of Practice” [2] Indian Standard IS 1893-2002, Criteria for Earthquake Resistant Design of Structures.
Structural Design of Power House Complex ( First Stage Construction) 4/61
1 INTRODUCTION
Sainj hydro-electric project is located on the Sainj River which is a tributary of Beas River near village Niharni in Kullu district of Himachal Pradesh. The Sainj Hydroelectric Project is a run off the river scheme. The main components of diversion structures are a six gated barrage including intake structure. The intake structure is located at the right bank of sainj barge. At d/s of Intake structure, two underground intake ducts are proposed that shall bifurcate to connect the two underground desander caverns for desilting purpose. The water conductor system includes a 6360.75 m long headrace tunnel, a surge shaft and a pressure shaft. An underground powerhouse complex consists of Powerhouse cavern and transformer bay cavern. The Power house Cavern consists of erection bay, machine bays and auxiliary bay. The machine bay is sized to house two no’s of Pelton TG units of 50MW each.
1.1 POWER HOUSE COMPLEX
The power house complex has installed two unit’s of 50 MW each. The two separate Frame structure separated by EJ of plan dimensions of 18m long x 16m wide & 19m long x 16m wide ( refer DWG No: 71.1994.08.011) are proposed to accommodate two unit’s. The power house complex two unit’s are separated by 25mm expansion joint (EJ) with each other and also with erection bay & control block at the interface by 25mm EJ. The power house complex frame structure is constructed in two stages. In the first stage only the side column (main crane column) and crane beam along with intermediated tie beam will be constructed, while in the second stage floor slabs, connecting beam, and some additional column (refer DWG No: 71.1994.08.011 to 71.1994.08.016) will be constructed.
1.2 SCOPE OF THE PRESENT REPORT
The scope of the present report is limited to the below
• Structural design of concrete elements (crane column & crane beam)
• To check whether the deformation behaviour of frame structure are within allowable range (expansion joint limit).
• To check whether the maximum foundation stresses are within the limit of safe bearing capacity.
• This report is limited to the structural design of crane column, crane beam & tie beam. The dowel reinforcement left for second stage construction for floor beam & intermediate column locations is also proposed.
A separate report will be submitted for analysis and structural design of floor slabs after receiving the actual cut out in slabs from E&M vendor.
Structural Design of Power House Complex ( First Stage Construction) 5/61
2 GEOMETRY OF THE STRUCTURE
The typical model of power house complex (unit 1) frame structure for 1st and 2nd stage construction are shown in figure-1 to 3 below. The unit 1 frame structure is more critical since crane beam has a longer unsupported span in this layout.
Figure 1: Typical Model Geometry- Unit-1 (Isometric view-1)-First stage model.
Salient Features (First Stage Model):
Crane column size : 1.0m x 1.0m
Crane Column Start elevation : EL. 1336m
1336.0 masl
1359.7 masl
1354.4 masl
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Crane beam size (wide x deep) : 1.0m x 1.2m
Crane beam top elevation : EL. 1359.70m
Tie beam size (wide x deep) : 0.4m x 0.6m
Finished Tie beam top level : EL. 1354.40m
Figure 2: Typical Model Geometry- Unit-1 (Isometric view-1)-Second stage concrete model.
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Figure 3: Typical Model Geometry- Unit-1 (Isometric view-2)- Second stage concrete model.
Salient Features (Second Stage Model):
Crane column size : 1.0m x 1.0m
Crane beam size (wide x deep) : 1.0m x 1.2m
Floor column size : 0.5m x 0.5m
Floor beam size (wide x deep) : 0.5m x 0.8m
Tie beam size (wide x deep) : 0.4m x 0.6m
Floor thickness (for all floors) : 0.4m
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General arrangement drawings of Power House can be referred from DWG No: 71.1994.08.011 TO 71.1994.08.016 & from DWG. No: 71.1994.08.021 TO 71.1994.08.023.
STAAD.Pro is used for frame analysis. Two different models as shown in figure 1 & 2 are used for analyzing first stage and second stage construction of Power house complex. Limit State method ( IS 456 :2000) is followed for structural design of various elements.
3 MATERIAL PROPERTIES
3.1 CONCRETE PROPERTIES
Concrete of grade : M30 / M25 (refer concrete outline drawings)
Unit weight of : 24.00 kN/m3
Poissons ratio : 0.17
Youngs modulus : fck5000 MPa
Safe Bearing Capacity of Rock(Assumed) : 150 T/m2
4 BOUNDARY CONDITIONS
The following boundary conditions are assumed in the numerical analysis of the first & second stage concrete model:
4.1 FIRST STAGE CONCRETE MODEL
• The nodes of bottom of Crane columns (EL. 1336.00 m) are considered as fixed in all degree of freedom. (Refer figure 4)
4.2 SECOND STAGE CONCRETE MODEL
• Fixity boundary conditions are assumed along the interface of Turbine/Generator concrete with floor slab at EL 1339.75m & EL. 1343.43m. (Refer figure 5)
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Figure 4: Fixity Boundary condition shown for first stage model.
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Figure 5: Fixity Boundary condition shown for Full second stage model.
5 DESIGN LOADS & LOAD COMBINATION
The following loads have been considered in the analysis:
• Dead Load (DL)
• Crane Load (CL)
• Earthquake Loads (EQ)
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5.1 DEAD LOAD
Dead load of unit weight of RCC as 25 kN/m3 is assumed.
5.2 CRANE LOAD
The load considered for EOT crane mounted at the top of the beam are following
5.2.1 EOT Crane load data (First Stage Model)
• Wheel load (static)-Per wheel 196 kN
• Wheel load (dynamic-with impact factor)- Per wheel 245 kN
• Wheel base 7.0 m
• Span of EOT Crane 15.0 m
• Number of wheels at one side 4 no’s
• Longitudinal force due to breaking in LT movement (Per wheel) 12 kN
• Transverse force due to breaking CT movement (Per wheel) 12 kN
5.2.2 EOT Crane load data (Second Stage Model)
• Wheel load (static)-Per wheel 480.12 kN
• Parked Wheel Load (50% static)-Per wheel 240 kN
• Wheel load (dynamic-with impact factor)- Per wheel 600.7 kN
• Wheel base 7.0 m
• Span of EOT Crane 15.0 m
• Number of wheels at one side 4 no’s
• Longitudinal force due to breaking in LT movement (Per wheel) 24 kN
• Transverse force due to breaking CT movement (Per wheel) 24 kN
• Floor load at EL. 1347.80 (Operating Floor) 15 kPa
• Floor load (each) at EL. 1343.43 & at EL.1339.75 15 kPa
Structural Design of Power House Complex ( First Stage Construction) 12/61
5.3 EARTHQUAKE LOAD
Response spectrum of IS: 1893-2002 has been used for seismic analysis. It is assumed that the construction site falls in Zone IV of earthquake zoning map of ref [2]. As per Ref. [2], the horizontal peak ground accelerations for Zone IV (Z) is 0.24g. Further 50% reduction in horizontal spectral acceleration has been assumed, since the structure is underground with hard rock strata.
Vertical seismic coefficient is taken as 2/3 of horizontal acceleration (Ref. [2]). The Importance factor (I), reduction factor (R) are taken 1.5 & 5 respectively. Further 5% damping is assumed in the structure.
First Stage Model
In Plane direction
The computed time period corresponding to the fundamental mode of first stage model with in plane direction by STAAD is 1.10 sec. As per Ref [2], the seismic coefficients for DBE are assumed as following:
Horizontal Seismic Spectral Coefficient, αh (Cl.6.4.2) = g
S
R
IZA a
h **2
= = 0.032g
Vertical Seismic Spectral Coefficient, αv = (2/3)*αh = (2/3)*0.032 = 0.021g
Note: 50% reduction is done in computing above spectral accelerations.
Out of Plane direction
The computed time period corresponding to the fundamental mode of first stage model out of plane direction by STAAD is 2.13 sec. As per Ref [2], the seismic coefficients for DBE are assumed as following:
Horizontal Seismic Spectral Coefficient, αh (Cl.6.4.2) = g
S
R
IZA a
h **2
= = 0.017g
Vertical Seismic Spectral Coefficient, αv = (2/3)*αh = (2/3)*0.017 = 0.011g
Note: 50% reduction is done in computing above spectral accelerations.
Second Stage Model
In Plane direction
The computed time period corresponding to the fundamental mode of second stage model with in plane direction by STAAD is 0.33sec. As per Ref [2], the seismic coefficients for DBE are assumed as following:
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Horizontal Seismic Spectral Coefficient, αh (Cl.6.4.2) = g
S
R
IZA a
h **2
= = 0.09g
Vertical Seismic Spectral Coefficient, αv = (2/3)*αh = (2/3)*0.09 = 0.06g
Note: 50% reduction is done in computing above spectral accelerations.
Out of Plane direction
The computed time period corresponding to the fundamental mode of second stage model out of plane direction by STAAD is 0.66 sec. As per Ref [2], the seismic coefficients for DBE are assumed as following:
Horizontal Seismic Spectral Coefficient, αh (Cl.6.4.2) = g
S
R
IZA a
h **2
= = 0.053g
Vertical Seismic Spectral Coefficient, αv = (2/3)*αh = (2/3)*0.053 = 0.036g
Note: 50% reduction is done in computing above spectral accelerations.
5.4 LOAD COMBINATIONS Following loading combinations have been considered in the analysis of power house complex for both models.
1. Self weight of structure + Crane Load (static load).
2. Self weight of structure + Crane Load (dynamic load).
3. Self weight of structure + 50% Crane Static (Parked crane Load) + Earthquake
load (100 % x direction + 30% z direction).
4. Self weight of structure + 50% Crane Static (Parked crane Load) + Earthquake
load (100 % z direction + 30% x direction).
6 DESIGN OF VARIOUS CONCRETE ELEMENTS
6.1 CRANE BEAM
6.1.1 Modelling & Analysis
The Crane beam is modelled as member element. Concrete properties of 1m wide & 1.1m deep have been proposed to crane beam, whereas the remaining 0.1m depth beam
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dead weight together will rail dead weight is applied as line load of 3 kN/m. The crane beam is connected integrally with crane columns.
6.1.2 Design Criteria
Crane beam will be designed for the load combination mentioned in sec 5.4, where full crane load as mentioned in sec 5.2.2 will be considered for structural design. The most critical location of the wheel loads that can induce the maximum vertical bending moment will be located by using moving load option in Staad-pro. Similarly the most critical location of wheel loads that can induce the maximum shear force will be located. The depth of crane beam will be checked for the permissible deflection. The Crane beam will be designed for maximum bending moment, torsion & shear force. The reinforcement will also to be checked for the lateral bending moment in the crane beam. Ductile detailing will be done for beams as per IS:13920
Refer Annexure-I & II for analysis results & structural design of Crane beam. Refer Table 1a & 1b for critical bending moment values.
6.2 CRANE COLUMNS
6.2.1 Modelling & Analysis
The Crane column is modelled as member element. At bottom, the boundary condition of the column has been proposed as fixed. At top the column is connected integrally with crane beams & other beam location as shown in respective drawings.
6.2.2 Design Criteria
Structural design of Crane column of First stage concrete model will be done for the maximum bending moments & axial force resulted from two independent analyses. In the first analysis, first stage concrete model will be analyzed for the load combination mentioned in sec 5.4, where crane load as mentioned in sec 5.2.1 will be considered. In the second analysis, second stage concrete model will be analyzed for the load combination mentioned in sec 5.4, where crane & floor load as mentioned in sec 5.2.2 will be considered. The Crane Column will be designed for biaxial bending moment & axial load induced by the most critical load combination from the two independent analyses. At the elevation of crane beam & tie beam, the crane column should have monolithical connection. Dowels will be left in column of first stage model for later stage raft & beam construction in second stage concreting. The dowels/reinforcement diameter & spacing will be done on the basis of structural analysis of second stage full model. Ductile detailing will be done for columns as per IS:13920. Refer Annexure-I & II for analysis results & structural design of crane columns. Refer Table 2 for possible critical bending moment & axial force values of columns.
Structural Design of Power House Complex ( First Stage Construction) 15/61
6.3 FLOOR BEAMS
6.3.1 Design Criteria
Intermediate floor beams will be designed for the load combination mentioned in sec 5.4, where full crane & floor load as mentioned in sec 5.2.2 will be considered for structural design. The second stage concrete model is considered for the structural design of intermediate floor beam to calculate the reinforcement in the beam so as to leave sufficient dowel reinforcement at Crane column interface. Refer Annexure-I & II for analysis results & structural design of Floor beams. Refer Table 3a & 3b for critical design loads.
6.4 TIE BEAMS
6.4.1 Design Criteria
Tie beams will be designed for the load combination mentioned in sec 5.4, where full crane load as mentioned in sec 5.2.2 will be considered for structural design. The second stage concrete model is considered for the structural design of tie beam to calculate the reinforcement in the beam as this load combination will generate maximum bending moments.
Refer Annexure-I & II for analysis results & structural design of tie beams. Refer Table 4a & 4b for critical design loads.
6.5 INTERMEDIATE FLOOR COLUMNS
6.5.1 Design Criteria
Intermediate floor Columns will be designed for the load combination mentioned in sec 5.4, where full crane & floor load as mentioned in sec 5.2.2 will be considered for structural design. The second stage concrete model is considered for the structural design of intermediate floor column to calculate the reinforcement in the column so as to leave sufficient dowel reinforcement from MIV floor raft. Refer Annexure-I & II for analysis results & structural design of intermediate floor column. Refer Table 5 for critical design loads.
6.6 CRANE AND INTERMEDIATE FLOOR COLUMNS FOUNDATION
6.6.1 Design Criteria
A 0.9m thick concrete raft is proposed at MIV floor. During first stage concreting phase, this raft is integrally connected along the interface of circular tailrace pit. Hence no separate foundation for Crane columns or floor columns is foreseen. The Crane
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Columns at U/s side shall start from MIV floor raft, where as the Crane Columns at D/s side shall also start from MIV floor level and is integrally connected with a 1m thick concrete wall of C/w Duct. The reinforcement for D/s Crane Columns is proposed to start from bottom of the C/w Duct wall foundation to result more conservative design. Further a 32mm dia grouted rock bolts have been proposed to connect the concrete raft to foundation rock integrally. By adopting the stitching mechanism of concrete to rock, it results very nominal flexure in the raft. Further, an adequate reinforcement of 20mm dia @ 250mm c/c is proposed at top and bottom side both ways of the raft.
7 RESULTS
Structural designs of individual members are mentioned in Annexure- II.
7.1 Results for Crane- Beams
Results of the Design moments and Shear for the Crane beams are presented below in Table 1a & Table 1b. Table 1a: Summary of Design Forces in 10m Span Crane-Beams.
END-1 END-2 SpanMoment type Hogging Hogging SaggingUn-factored Moment (kNm) 2220 1540 1930Un-factored shear (kN) 1440 1340
Factor of Safety 1.5 1.5 1.5
Factored Moment (kNm) 3330 2310 2895Factored shear (kN) 2160 2010
Design Moments & Shear for Crane Beam (Span 10m)
Factored values
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Table 1b: Summary of Design Forces in 7m Span Crane-Beams.
END-1 END-2 SpanMoment type Hogging Hogging SaggingUn-factored Moment (kNm) 1100 661 1050Un-factored shear (kN) 1040 903
Factor of Safety 1.5 1.5 1.5
Factored Moment (kNm) 1650 992 1575
Factored shear (kN) 1560 1355
Design Moments & Shear for Crane Beam ( Span 7m)
Factored values
The moments and Shear obtained from STAAD results have been modified for Torsion as per Cl. 41.3.1 and Cl. 41.4.2 of IS 456: 2000. The summary of the required reinforcement is given in Annexure II.
7.2 Results for Crane-Column
Results of the Analysis of Crane column are presented below in Table 2.
Table 2: Summary of Design Forces in Crane-Column
Moment( My) IN PLANE
kNm
Moment( Mz) OUT OF
PLANE kNm
Axial Force kN
Top 1430 45 1290Bottom 188 171 1289
Top 1070 46 1480Bottom 207 161 1475
Factor of Safety Top 1.5 1.5 1.5Bottom 2145 67.5 1935
282 257 1934
Top 1605 69 2220Bottom 311 242 2213
Design Moments & Axial force for Crane Column
Column D-Line
Column B-line
Column D-Line
Column B-line
Factored Values
Note: Critical column from analysis is located at the intersection of B & 2 grid lines, between the EL 1354.1 & 1359.1 of 4.1m clear distance. Only the most critical column is presented in Annexure-I for structural design from Table 2.
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7.3 Results for Floor Beams
Results of the Design moments and Shear for the floor beams are presented below in Table 3a & Table 3b. Table 3a: Summary of Design Forces in floor-Beams at EL. 1347.77.
Moment type Hogging Hogging SaggingUn-factored Moment (kNm) 226 201 132Un-factored shear (kN) 135 82
Torsion (kN) 153
Factor of Safety 1.5 1.5 1.5Factored Moment (kNm) 339 302 198Factored shear (kN) 203 123
Torsion (kN) 229.5
Design Moments & Shear for Floor Beam at EL . Top
Factored values
Table 3b: Summary of Design Forces in floor-Beams at EL. 1343.40.
Moment type Hogging Hogging SaggingUn-factored Moment (kNm) 205 82 107Un-factored shear (kN) 130 70
Torsion (kN) 83
Factor of Safety 1.5 1.5 1.5Factored Moment (kNm) 308 123 161
Factored shear (kN) 195 105
Torsion (kN) 124.5
Design Moments & Shear for Floor Beam at EL BOTTOM
Factored values
7.4 Results for Tie Beams
Results of the Design moments and Shear for the tie beams are presented below in Table 4a & Table 4b.
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Table 4a: Summary of Design Forces in Tie beam.
Moment type Hogging Hogging Sagging
Un-factored Moment (kNm) 148 130 10Un-factored shear (kN) 93 89
Factor of Safety 1.2 1.2 1.2Factored Moment (kNm) 178 156 12Factored shear (kN) 112 107
Design Moments & Shear for Tie Beam ( Min. Span )
Factored values
Table 4b: Summary of Design Forces in Tie beam.
Moment type Hogging Hogging Sagging
Un-factored Moment (kNm) 94 82 15Un-factored shear (kN) 26 13
Factor of Safety 1.2 1.2 1.2Factored Moment (kNm) 113 98 18
Factored shear (kN) 31 16
Design Moments & Shear for Tie Beam ( Max. Span)
Factored values
7.5 Results for Intermediate Columns
Results of the Design moments and Shear for the intermediate column are presented below in Table 5.
Table 5: Summary of Design Forces in Intermediate Column.
Moment( My) IN PLANE
kNm
Moment( Mz) OUT OF
PLANE kNm
Axial Force kN
Top 88 74 244Bottom 69 57 240
Factor of Safety 1.5 1.5 1.5Top 132 111 366Bottom 103.5 86 360
Design Moments & Axial force for Intermediate Column
Intermediate Column
Factored Values
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8 REINFORCEMENT PROPOSED
8.1 Crane-Beams
The summary of Proposed Reinforcement in Crane-Beams is as shown in Table 7
Table 7: Summary of Proposed Reinforcement in Crane-Beams
Sl. No.
Beam Top Reinforcement
Bottom Reinforcement
Shear Reinforcement*
Remarks
1 10m Span
10 Nos. 36 Dia 9 Nos. 36 Dia 12φ @100 c/c ( 4 legged)
Provide 2 Nos 20 Dia bars / face as side r/f
2 7m Span
5 Nos. 36 Dia 5 Nos. 36 Dia 12φ @100 c/c ( 4 legged)
Provide 2 Nos 20 Dia bars / face as side r/f
*Note: Refer suitable drawings for actual reinforcement arrangement.
8.2 Crane-Columns
The summary of Proposed Reinforcement in crane-columns is as shown below in Table 8
Table 8: Summary of Proposed Reinforcement in Crane-Columns (Model-1)
*Note: Refer suitable drawings for actual reinforcement arrangement.
8.3 Floor-Beams
The summary of Proposed Reinforcement in Floor-Beams is as shown in Table 9.
Sl. No.
Column Column Each Face Reinforcement
Transverse hoop Reinforcement*
1 All crane columns
5 Nos. 32 Dia 12φ @100 c/c
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Table 9: Summary of Proposed Reinforcement in Floor-Beams
Sl. No.
Beam Top Reinforcement
Bottom Reinforcement
Shear Reinforcement*
Remarks
1 At EL.1347.77
5 Nos. 25 Dia 4 Nos. 25 Dia 12φ @200 c/c ( 4 legged)
Provide 2 Nos 16 Dia bars / face as side r/f
2 At EL.1343.4 & EL.1339.72
4 Nos. 25 Dia 4 Nos. 25 Dia 12φ @300 c/c ( 4 legged)
Provide 2 Nos 16 Dia bars / face as side r/f
*Note: Refer suitable drawings for actual reinforcement arrangement.
8.4 Tie-Beams
The summary of Proposed Reinforcement in Tie-Beams is as shown in Table 10.
Table 10: Summary of Proposed Reinforcement in Tie-Beams
Sl. No.
Tie Beam Top Reinforcement
Bottom Reinforcement
Shear Reinforcement*
1 1.9m clear Span
4 Nos. 20 Dia 4 Nos. 20 Dia 12φ @300 c/c ( 2 legged)
2 9m & 6m clear Span
3 Nos. 20 Dia 3 Nos. 20 Dia 12φ @300 c/c ( 2 legged)
*Note: Refer suitable drawings for actual reinforcement arrangement.
8.5 Intermediate-Columns
The summary of Proposed Reinforcement in intermediate-columns is as shown below in Table 11.
Table 11: Summary of Proposed Reinforcement in Intermediate Columns.
*Note: Refer suitable drawings for actual reinforcement arrangement.
Sl. No.
Column Column Each Face Reinforcement
Transverse hoop Reinforcement*
1 All intermediate columns
3 Nos. 25 Dia 12φ @100 c/c
Structural Design of Power House Complex ( First Stage Construction) 22/61
9 CONCLUSIONS
Based on the analysis following conclusion can be made
• The proposed reinforcement for various concrete elements is designed for most
critical load combinations.
• Continuous raft is provided as the crane column footings.
• The maximum vertical deflection in the crane beam (10 m span beam center to center
) is of 8.2mm for the critical load combination.
• The maximum horizontal deflection in the frame structure ( first stage model) is of
12.5 mm for the critical load combination, which is under allowable limit of 25mm
Expansion joint.
• The bending moments developed at crane column footing are not significiant,
therefore Nominal reinforcement of 20mm dia at 250mm spacing c/c is provided.
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ANNEXURE-I
(STAAD PRO- Analysis Results) FIRST STAGE STAAD MODEL
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Figure 1: Unfactored Bending moment diagram envelope for Crane Beam along D-line.
Figure 2: Unfactored Shear Force diagram envelope for Crane Beam along D-line. Note: Critical Bending moment and shear force location for crane beam (along D-line) occurs when right most crane wheel is approx. 1.2m from the right most column.
1930 kNm
1670 kNm
1050 kNm
2220 kNm
661 kNm
903 kN
1040 kN
1440 kN
1340 kN
1260 kNm
Structural Design of Power House Complex ( First Stage Construction) 25/61
Figure 3: Unfactored Out of Plane Bending moment envelope for Crane Column along D-line. Note: Critical out of plane Bending moment for crane column (along D-line) occurs when right most crane wheel are to at right most part of the structure.
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Figure 4: Unfactored Maximum Inplane Bending moment diagram at bottom of the Crane Column ( along D-line). ( result of load combination with seismic load)
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Figure 5: Unfactored Maximum Inplane Bending moment diagram at top of the Crane Column (along D-line).( right most crane wheel is approx. 1.2m from the right most column)
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Figure 6: Unfactored Maximum Axial force diagram for Crane Column ( right most crane wheel is approx. 1.2m from the right most column)
Structural Design of Power House Complex ( First Stage Construction) 29/61
Figure 7: Unfactored Maximum Axial force diagram for Crane Column. (CG of the crane wheel is exactly at the middle crane column)
1060 kN
1660 kN
300 kN
888 kN
Structural Design of Power House Complex ( First Stage Construction) 30/61
STAAD RESULTS-SECOND STAGE MODEL
Structural Design of Power House Complex ( First Stage Construction) 31/61
Figure 8: Vertical INPLANE bending moment envelope for floor beam at EL. 1347.770.
154 kNm
145 kNm
226kNm
197 kNm
126 kNm
106 kNm
123 kNm
152 kNm
83 kNm
132 kNm
116 kNm
201 kNm
117 kNm
115 kNm
92 kNm
Structural Design of Power House Complex ( First Stage Construction) 32/61
Figure 9: Shear force envelope for floor beam at EL. 1347.770.
50 kN
82 kN
75 kN
92 kN
72 kN 72 kN
135 kN
Structural Design of Power House Complex ( First Stage Construction) 33/61
Figure 10: Vertical INPLANE bending moment envelope for floor beam at EL. 1343.40.
85 kNm
142 kNm
198kNm
178 kNm
156 kNm
46 kNm
70 kNm
128 kNm 73 kNm
90 kNm
205 kNm
65 kNm
107 kNm
41 kNm 90 kNm
Structural Design of Power House Complex ( First Stage Construction) 34/61
Figure 11: Vertical INPLANE bending moment envelope for floor beam at EL. 1339.720.
51 kNm
99 kNm
71 kNm
133 kNm
101 kNm
40 kNm
51 kNm
122 kNm
68 kNm
59 kNm
40 kNm
59 kNm
18 kNm
75 kNm
24 kNm
Structural Design of Power House Complex ( First Stage Construction) 35/61
Figure 12: Unfactored Inplane Bending moment envelope at top of the Crane Column (along D-line). Note: Critical bending moment location occurs when right most crane wheel is approx. 1.2m from the right most column.
34 kNm 10 kNm
43 kNm
435 kNm 515 kNm 502 kNm
661 kNm 935 kNm 1070 kNm
145 kNm 68 kNm
68 kNm
98 kNm 33 kNm 113 kNm
182 kNm 200 kNm 222 kNm
288 kNm
141 kNm
70 kNm
Structural Design of Power House Complex ( First Stage Construction) 36/61
Figure 13: Unfactored Out of plane Bending moment envelope of crane column along D line.
Structural Design of Power House Complex ( First Stage Construction) 37/61
Figure 14: Unfactored axial force diagram of Crane Column (along D-line). Note: Results shown when the CG of crane is exactly at the top of the middle column
2310 kN
2570 kN
2320 kN
2140 kN
962 kN
720 kN
435 kN
161 kN
360 kN
470 kN
380 kN
825 kN
Structural Design of Power House Complex ( First Stage Construction) 38/61
Figure 15: Unfactored axial force diagram of Crane Column (along D-line). Note: Results shown when right most crane wheel is approx. 1.2m from grid No: 2.
716 kN
1180 kN
1930 kN
2000 kN
844 kN
1120 kN
1360kN
1510 kN
1640 kN
Structural Design of Power House Complex ( First Stage Construction) 39/61
Figure 16: Unfactored Inplane Bending moment envelope of Tie Beam (along B-line)
Figure 17: Unfactored shear force diagram envelope of Tie beam along B line
Structural Design of Power House Complex ( First Stage Construction) 40/61
Figure 18: Unfactored Inplane Bending moment envelope at top of the Crane Column (along B-line). Note: Critical bending moment location occurs when right most crane wheel is approx. 1.2m from the right most column.
5 kNm 1 kNm 24 kNm
19 kNm 30 kNm 83 kNm
46 kNm 91 kNm 172 kNm
422 kNm 458 kNm 411 kNm
193 kNm 353 kNm 23 kNm
1430 kNm 1230 kNm 626 kNm
Structural Design of Power House Complex ( First Stage Construction) 41/61
Figure 19: Unfactored Out of plane Bending moment envelope of crane column along B line.
21 kNm
1 kNm
8 kNm
75 kNm
17 kNm
15 kNm
62 kNm
65 kNm
108 kNm
497 kNm
552 kNm
580 kNm
Structural Design of Power House Complex ( First Stage Construction) 42/61
Figure 20: Unfactored Inplane Bending moment envelope of Intermediate.
2 kNm
88 kNm
85 kNm
35 kNm
30kNm
10 kNm
69 kNm
66 kNm
8 kNm
15 kNm
27 kNm
21 kNm
7 kNm
5 kNm
2 kNm
10 kNm
35 kNm
37 kNm
20kNm
Structural Design of Power House Complex ( First Stage Construction) 43/61
Figure 21: Unfactored Out of plane Bending moment envelope of Intermediate Columns.
30 kNm
27 kNm
31 kNm
17 kNm
11 kNm
59 kNm
74 kNm
44 kNm
57 kNm
26 kNm
30 kNm
8 kNm
8 kNm
14 kNm
3 kNm
Structural Design of Power House Complex ( First Stage Construction) 44/61
Figure 22: Unfactored axial force diagram of Intermediate Columns.
219 kNm
421 kNm
536 kNm
141 kNm
260 kNm
507 kNm
351 kNm
284 kNm
244 kNm
472 kNm
566 kNm
Structural Design of Power House Complex ( First Stage Construction) 45/61
ANNEXURE-II
(Structural Design of Different Components)
Structural Design of Power House Complex ( First Stage Construction) 46/61
Material Data:Characteristic strength of concrete fck = 30 Mpa
Characteristic strength of steel fy = 500 Mpa
Nominal Cover to be provided d' = 40 mm
Design Input:
Overall Depth of the Beam D = 1100 mm
Width of the Beam b = 1000 mm
Diameter of Stirrup = 12 mm
Diameter of main Reinforcement bar = 36 mm
Effective depth of beam d = 1030 mm
Design Loads:
(Refer STAAD file for the Loads and Load combinations)
Design Moments
Maximum Factored Support Moment at Top = 3330 kN-m
Maximum Factored Span Bottom Moment = 2895 kN-m
Design for Bottom Reinforcement:
Factored span moment = 2895 kN-m
Area of steel Ast = 7335 mm2
Minimum reinforcement as per IS 13920 cl. 6.2.1(b) (0.24*sqrt(fck)*b*d/fy) = 2708 mm2
Diameter of bar to be used = 36 mm
Sectional area of bar = 1018 mm2
Number of bars required = 7.2
Provide 9 - 36 dia bars
Design for Top Reinforcement:
Factored Support Moment Mu = 3330 kN-m
Maximum Factored Torsion Tu = 147 kN-m
Equivalent Factored Bending moment due to Torsion Tu x ((1+D/b) /1.7) Mt = 182 kN-m
As per Clause 41.4.2.1
Total Factored support bending moment = 3512 kN-m
Area of steel Ast = 9216 mm2
Minimum reinforcement as per IS 13920 cl. 6.2.1(b) (0.24*sqrt(fck)*b*d/fy) = 2892 mm2
Diameter of bar to be used = 36 mm
Sectional area of bar = 1018 mm2
Number of bars required = 9.1
Provide 10 - 36
0.5 x fck x{1- [1 - 4.6xMz/(fckxbd2)] 0.5 } x b x d
0.5 x fck x{1- [1 - 4.6xMz/(fckxbd2)] 0.5 } x b x d
fy
fy
Structural Design of Crane Beam ( Span 10m )
Structural Design of Power House Complex ( First Stage Construction) 47/61
Design for Side face Reinforcement
Overall Depth of beam D = 1100 mm
Width of beam b = 1000 mm
Minimum each side face reinforcement as per IS 456 - 2000 cl. 26.5.1.3(0.05%*b*d) = 550 mm2
Diameter of bar to be used = 20 mm
Sectional area of bar = 314 mm2
Number of bars = 1.8
Spacing should not exceed 300 mm or web thickness whichever is less
Spacing of bars 336 mm
Provide 2 -
Design Shear Reinforcement
Max. Factored Shear Force Vu = 2160 kN
Max. Factored Torsional Moment Tu = 147 kN-m
Width of the beam b = 1000 mm
Equivalent shear Force Ve = Vu+ 1.6*Tu/b Ve = 2395 kN
Equivalent Shear stress τve = Ve/(b*d) τve = 2.33 N/mm2
% of Tensile reinforcement provided at support As = 0.99 %
0.8xfck / ( 6.89xAs ) β = 3.52
Design shear strength of section for the provided tensile reinf. at support τc = 0.65 N/mm2
Spacing of the stirrup reinforcement sv = 100 mm
Diameter of Stirrup to be used = 12 mm
Centre to centre distance between corner bars in the direction of width b1 = 896 mm
Centre to centre distance between corner bars in the direction of depth d1 = 960 mm
Asv = 246 mm2
Min. transverse reinforcement Asv = 385 mm2
Max. of above two values = 385 mm2
Sectional area of bar = 113 mm2
Nos. of legs required = 3.4
Provide 12 @ 100 mm c/c
20 dia bars at equal spacing on each face
mm dia 4-legged stirrups
Asv = (Sv*(Tu/b1+Vu/2.5))/(d1*0.87*fy)Calculated area of transverse reinforcement as per 41.4.3-IS:456
Asv =( (τve-τc)*b*Sv)/(0.87*fy)
Structural Design of Power House Complex ( First Stage Construction) 48/61
Material Data:Characteristic strength of concrete fck = 30 Mpa
Characteristic strength of steel fy = 500 Mpa
Nominal Cover to be provided d' = 40 mm
Design Input:
Overall Depth of the Beam D = 1100 mm
Width of the Beam b = 1000 mm
Diameter of Stirrup = 12 mm
Diameter of main Reinforcement bar = 36 mm
Effective depth of beam d = 1030 mm
Design Loads:
(Refer STAAD file for the Loads and Load combinations)
Design Moments
Maximum Factored Support Moment at Top = 992 kN-m
Maximum Factored Span Moment = 1575 kN-m
Design for Bottom Reinforcement:
Factored span moment = 1575 kN-m
Area of steel Ast = 3744 mm2
Minimum reinforcement as per IS 13920 cl. 6.2.1(b) (0.24*sqrt(fck)*b*d/fy) = 2708 mm2
Diameter of bar to be used = 36 mm
Sectional area of bar = 1018 mm2
Number of bars required = 3.7
Provide 5 - 36 dia bars
Design for Top Reinforcement:
Factored End Moment Mu = 992 kN-m
Factored Torsion Tu = 123 kN-m
Equivalent Factored Bending moment due to Torsion Tu x ((1+D/b) /1.7) Mt = 152 kN-m
As per Clause 41.4.2.1
Total Factored support bending moment = 1143 kN-m
Area of steel Ast = 2669 mm2
Minimum reinforcement as per IS 13920 cl. 6.2.1(b) (0.24*sqrt(fck)*b*d/fy) = 2892 mm2
Diameter of bar to be used = 36 mm
Sectional area of bar = 1018 mm2
Number of bars required = 2.8
Provide 5 - 36
0.5 x fck x{1- [1 - 4.6xMz/(fckxbd2)] 0.5 } x b x d
0.5 x fck x{1- [1 - 4.6xMz/(fckxbd2)] 0.5 } x b x d
fy
fy
Structural Design of Crane Beam ( Span 7m )
Structural Design of Power House Complex ( First Stage Construction) 49/61
Design for Side face Reinforcement
Overall Depth of beam D = 1100 mm
Width of beam b = 1000 mm
Minimum each side face reinforcement as per IS 456 - 2000 cl. 26.5.1.3(0.05%*b*d) = 550 mm2
Diameter of bar to be used = 20 mm
Sectional area of bar = 314 mm2
Number of bars = 1.8
Spacing should not exceed 300 mm or web thickness whichever is less
Spacing of bars 336 mm
Provide 2 -
Design Shear Reinforcement
Max. Factored Shear Force Vu = 1355 kN
Max. Factored Torsional Moment Tu = 123 kN-m
Width of the beam b = 1000 mm
Equivalent shear Force Ve = Vu+ 1.6*Tu/b Ve = 1551 kN
Equivalent Shear stress τve = Ve/(b*d) τve = 1.51 N/mm2
% of Tensile reinforcement provided at support As = 0.99 %
0.8xfck / ( 6.89xAs ) β = 3.52
Design shear strength of section for the provided tensile reinf. at support τc = 0.65 N/mm2
Spacing of the stirrup reinforcement sv = 100 mm
Diameter of Stirrup to be used = 12 mm
Centre to centre distance between corner bars in the direction of width b1 = 896 mm
Centre to centre distance between corner bars in the direction of depth d1 = 960 mm
Asv = 163 mm2
Min. transverse reinforcement Asv = 196 mm2
Max. of above two values = 196 mm2
Sectional area of bar = 113 mm2
Nos. of legs required = 1.7
Provide 12 @ 100 mm c/c
20 dia bars at equal spacing on each face
mm dia 4-legged stirrups
Asv = (Sv*(Tu/b1+Vu/2.5))/(d1*0.87*fy)Calculated area of transverse reinforcement as per 41.4.3-IS:456
Asv =( (τve-τc)*b*Sv)/(0.87*fy)
Structural Design of Power House Complex ( First Stage Construction) 50/61
DESIGN INPUT
Grade of Concrete M-25
Grade of Steel Fe-500
Compressive Strength of Concrete fck = 25 N/mm2
Characteristic strength of reinforcement Steel fy = 500 N/mm2
Clear cover = 50 mm
Diameter of lateral tie = 12 mm
Width of column b = 1000 mm
Depth of column D = 1000 mm
Starting Elevation of column = 1354.10 m
Top Elevation of column = 1359.10 m
Unsupported length of column L = 4.10 m
REINFORCEMENT DETAILS
Dia of bars used = 32 mm
Effective cover d' = 78 mm
Percentage of reinforcemnt used p = 1.29 %
STAAD RESULTS (FACTORED)
Axial Force Pu = 1935.00 kN
Moment within Plane My = 2145.00 kN-m
Moment out of plane Mz = 67.50 kN-m
Corresponding torsion Tu = 12.00 kN-m
DESIGN MOMENTS ( within Plane )
Maximum bending moment from STAAD My = 2145.00 kN-m
Equivalent bending moment for torsion Mey = 14.12 kN-m
Effective length of column Ley = L = 4.10 m
Slenderness ratio Ley/D = 4.10
Minimum eccentricity ez = 41.53 mm
Moment due to minimum eccentricity My,min = 80.37 kN-m
Additional moment due to eccnetricity May = 0.00 kN-m
Design Moment with in Plane Muy = 2159 kN-m
CRANE COLUMN ALONG B-LINE- SECOND STAGE (1000X1000)
Mey = (Tu/1.7)*(1+D/b)
MAX(Ley/500+D/30,20)
P*ez
DESIGN OF COLUMN FOR MAXIMUM MY
P*D/2000*(Ley/D)^2
Structural Design of Power House Complex ( First Stage Construction) 51/61
DESIGN MOMENTS (Out of Plane)
Maximum bending moment from STAAD Mz = 67.50 kN-m
Equivalent bending moment for torsion Mez = 14.12 kN-m
Effective length of column Lez = L = 5.45 m
Slenderness ratio Lez/b = 5.45
Minimum eccentricity ey = 44.23 mm
Moment due to minimum eccentricity Mz,min = 85.59 kN-m
Additional moment due to eccnetricity Maz = 0.00 kN-m
Design Moment out of Plane Muz = 86 kN-m
MOMENT CAPACITY ( within Plane )
d'/D = 0.078
p/fck = 0.051
Pu/(fckbD) = 0.077
Referring Chart 48 of SP-16 Muy,l/(fckbD2) = 0.105
Muy,l = 2625 kN-m
MOMENT CAPACITY (Out of Plane)
d'/b = 0.078
p/fck = 0.051
Pu/(fckbD) = 0.077
Referring Chart 49 of SP-16 Muz,l/(fckDb2) = 0.100
Muz,l = 2500 kN-m
COLUMN SECTION CHECK
Area of steel As = 12870 mm2
Ac = 987130 mm2
Puz = 0.45fckAc + 0.75fyAs Puz = 15931 kN
Pu/Puz = 0.12
an = 1.00
Muy/Muy,l = 0.82
Muz/Muz,l = 0.03
= 0.86 < 1.00(Muy/Muy,l)an+(Muy/Muy,l)an
Mez = (Tu/1.7)*(1+b/D)
MAX(Lez/500+b/30,20)
P*ey
P*b/2000*(Lez/b)^2
Structural Design of Power House Complex ( First Stage Construction) 52/61
Material Data:Characteristic strength of concrete fck = 25 Mpa
Characteristic strength of steel fy = 500 Mpa
Nominal Cover to be provided d' = 40 mm
Design Input:
Overall Depth of the Beam D = 800 mm
Width of the Beam b = 600 mm
Diameter of Stirrup = 12 mm
Diameter of main Reinforcement bar = 25 mm
Effective depth of beam d = 736 mm
Design Loads:
(Refer STAAD file for the Loads and Load combinations)
Design Moments
Maximum Factored Support Moment at Top = 339 kN-m
Maximum Factored Support Moment at bottom = 198 kN-m
Design for Bottom Reinforcement:
Factored moment = 198 kN-m
Area of steel Ast = 638 mm2
Minimum reinforcement as per IS 13920 cl. 6.2.1(b) (0.24*sqrt(fck)*b*d/fy) = 1059 mm2
Diameter of bar to be used = 25 mm
Sectional area of bar = 491 mm2
Number of bars required = 2.2
Provide 4 - 25 dia bars
Design for Top Reinforcement:
Factored Moment Mu = 339 kN-m
Factored Torsion at the Support Tu = 230 kN-m
Equivalent Factored Bending moment due to Torsion Tu x ((1+D/b) /1.7) Mt = 315 kN-m
As per Clause 41.4.2.1
Total Factored support bending moment = 654 kN-m
Area of steel Ast = 2281 mm2
Minimum reinforcement as per IS 13920 cl. 6.2.1(b) (0.24*sqrt(fck)*b*d/fy) = 1059 mm2
Diameter of bar to be used = 25 mm
Sectional area of bar = 491 mm2
Number of bars required = 4.6
Provide 5 - 25
Structural Design of Floor Beam at EL. 1347.77
0.5 x fck x{1- [1 - 4.6xMz/(fckxbd2)] 0.5 } x b x d
0.5 x fck x{1- [1 - 4.6xMz/(fckxbd2)] 0.5 } x b x d
fy
fy
Structural Design of Power House Complex ( First Stage Construction) 53/61
Design for Side face Reinforcement
Overall Depth of beam D = 800 mm
Width of beam b = 600 mm
Minimum each side face reinforcement as per IS 456 - 2000 cl. 26.5.1.3(0.05%*b*d) = 240 mm2
Diameter of bar to be used = 20 mm
Sectional area of bar = 314 mm2
Number of bars = 0.8
Spacing should not exceed 300 mm or web thickness whichever is less
Spacing of bars 366 mm
Provide 2 -
Design For Maximum Shear
Max. Factored Shear Force Vu = 203 kN
Max. Factored Torsional Moment Tu = 230 kN-m
Width of the beam b = 600 mm
Equivalent shear Force Ve = Vu+ 1.6*Tu/b Ve = 815 kN
Equivalent Shear stress τve = Ve/(b*d) τve = 1.85 N/mm2
% of Tensile reinforcement provided at support As = 0.56 %
0.8xfck / ( 6.89xAs ) β = 5.22
Design shear strength of section for the provided tensile reinf. at support τc = 0.51 N/mm2
Spacing of the stirrup reinforcement sv = 200 mm
Diameter of Stirrup to be used = 12 mm
Centre to centre distance between corner bars in the direction of width b1 = 496 mm
Centre to centre distance between corner bars in the direction of depth d1 = 671 mm
Asv = 373 mm2
Min. transverse reinforcement Asv = 368 mm2
Max. of above two values = 373 mm2
Sectional area of bar = 113 mm2
Nos. of legs required = 3.3
Provide 12 @ 200 mm c/c
20 dia bars at equal spacing on each face
mm dia 4-legged stirrups
Asv = (Sv*(Tu/b1+Vu/2.5))/(d1*0.87*fy)Calculated area of transverse reinforcement as per 41.4.3-IS:456
Asv =( (τve-τc)*b*Sv)/(0.87*fy)
Structural Design of Power House Complex ( First Stage Construction) 54/61
Material Data:Characteristic strength of concrete fck = 25 Mpa
Characteristic strength of steel fy = 500 Mpa
Nominal Cover to be provided d' = 40 mm
Design Input:
Overall Depth of the Beam D = 800 mm
Width of the Beam b = 600 mm
Diameter of Stirrup = 12 mm
Diameter of main Reinforcement bar = 25 mm
Effective depth of beam d = 736 mm
Design Loads:
(Refer STAAD file for the Loads and Load combinations)
Design Moments
Maximum Factored Support Moment at Top = 308 kN-m
Maximum Factored Support Moment at bottom = 161 kN-m
Design for Bottom Reinforcement:
Factored moment = 161 kN-m
Area of steel Ast = 514 mm2
Minimum reinforcement as per IS 13920 cl. 6.2.1(b) (0.24*sqrt(fck)*b*d/fy) = 1059 mm2
Diameter of bar to be used = 25 mm
Sectional area of bar = 491 mm2
Number of bars required = 2.2
Provide 4 - 25 dia bars
Design for Top Reinforcement:
Factored Moment Mu = 308 kN-m
Factored Torsion at the Support Tu = 125 kN-m
Equivalent Factored Bending moment due to Torsion Tu x ((1+D/b) /1.7) Mt = 171 kN-m
As per Clause 41.4.2.1
Total Factored support bending moment = 478 kN-m
Area of steel Ast = 1614 mm2
Minimum reinforcement as per IS 13920 cl. 6.2.1(b) (0.24*sqrt(fck)*b*d/fy) = 1059 mm2
Diameter of bar to be used = 25 mm
Sectional area of bar = 491 mm2
Number of bars required = 3.3
Provide 4 - 25
0.5 x fck x{1- [1 - 4.6xMz/(fckxbd2)] 0.5 } x b x d
0.5 x fck x{1- [1 - 4.6xMz/(fckxbd2)] 0.5 } x b x d
fy
fy
Structural Design of Floor Beam at EL. 1343.4 & EL 1339.72
Structural Design of Power House Complex ( First Stage Construction) 55/61
Design for Side face Reinforcement
Overall Depth of beam D = 800 mm
Width of beam b = 600 mm
Minimum each side face reinforcement as per IS 456 - 2000 cl. 26.5.1.3(0.05%*b*d) = 240 mm2
Diameter of bar to be used = 20 mm
Sectional area of bar = 314 mm2
Number of bars = 0.8
Spacing should not exceed 300 mm or web thickness whichever is less
Spacing of bars 366 mm
Provide 2 -
Design For Maximum Shear
Max. Factored Shear Force Vu = 203 kN
Max. Factored Torsional Moment Tu = 125 kN-m
Width of the beam b = 600 mm
Equivalent shear Force Ve = Vu+ 1.6*Tu/b Ve = 535 kN
Equivalent Shear stress τve = Ve/(b*d) τve = 1.21 N/mm2
% of Tensile reinforcement provided at support As = 0.44 %
0.8xfck / ( 6.89xAs ) β = 6.52
Design shear strength of section for the provided tensile reinf. at support τc = 0.47 N/mm2
Spacing of the stirrup reinforcement sv = 300 mm
Diameter of Stirrup to be used = 12 mm
Centre to centre distance between corner bars in the direction of width b1 = 496 mm
Centre to centre distance between corner bars in the direction of depth d1 = 671 mm
Asv = 341 mm2
Min. transverse reinforcement Asv = 308 mm2
Max. of above two values = 341 mm2
Sectional area of bar = 113 mm2
Nos. of legs required = 3.0
Provide 12 @ 300 mm c/c
20 dia bars at equal spacing on each face
mm dia 4-legged stirrups
Asv = (Sv*(Tu/b1+Vu/2.5))/(d1*0.87*fy)Calculated area of transverse reinforcement as per 41.4.3-IS:456
Asv =( (τve-τc)*b*Sv)/(0.87*fy)
Structural Design of Power House Complex ( First Stage Construction) 56/61
Material Data:Characteristic strength of concrete fck = 25 Mpa
Characteristic strength of steel fy = 500 Mpa
Nominal Cover to be provided d' = 40 mm
Design Input:
Overall Depth of the Beam D = 600 mm
Width of the Beam b = 400 mm
Diameter of Stirrup = 10 mm
Diameter of main Reinforcement bar = 20 mm
Effective depth of beam d = 540 mm
Design Loads:
(Refer STAAD file for the Loads and Load combinations)
Design Moments
Maximum Factored Moment( Hogging) = 178 kN-m
Maximum Factored Span Moment ( Sagging) = 60 kN-m
Design for Bottom Reinforcement:
Factored span moment = 60 kN-m
Area of steel Ast = 262 mm2
Minimum reinforcement as per IS 13920 cl. 6.2.1(b) (0.24*sqrt(fck)*b*d/fy) = 518 mm2
Diameter of bar to be used = 20 mm
Sectional area of bar = 314 mm2
Number of bars required = 1.7
Provide 4 - 20 dia bars
Design for Top Reinforcement:
Factored Hogging Moment Mu = 178 kN-m
Factored Torsion at the Support Tu = 18 kN-m
Equivalent Factored Bending moment due to Torsion Tu x ((1+D/b) /1.7) Mt = 26 kN-m
As per Clause 41.4.2.1
Total Factored support bending moment = 204 kN-m
Area of steel Ast = 953 mm2
Minimum reinforcement as per IS 13920 cl. 6.2.1(b) (0.24*sqrt(fck)*b*d/fy) = 576 mm2
Diameter of bar to be used = 20 mm
Sectional area of bar = 314 mm2
Number of bars required = 3.0
Provide 4 - 20
Structural Design of Tie Beam ( at Minimum span location)
0.5 x fck x{1- [1 - 4.6xMz/(fckxbd2)] 0.5 } x b x d
0.5 x fck x{1- [1 - 4.6xMz/(fckxbd2)] 0.5 } x b x d
fy
fy
Structural Design of Power House Complex ( First Stage Construction) 57/61
Design Shear Reinforcement
Max. Factored Shear Force Vu = 112 kN
Max. Factored Torsional Moment Tu = 18 kN-m
Width of the beam b = 400 mm
Equivalent shear Force Ve = Vu+ 1.6*Tu/b Ve = 184 kN
Equivalent Shear stress τve = Ve/(b*d) τve = 0.85 N/mm2
% of Tensile reinforcement provided at support As = 0.44 %
0.8xfck / ( 6.89xAs ) β = 6.65
Design shear strength of section for the provided tensile reinf. at support τc = 0.46 N/mm2
Spacing of the stirrup reinforcement sv = 300 mm
Diameter of Stirrup to be used = 12 mm
Centre to centre distance between corner bars in the direction of width b1 = 300 mm
Centre to centre distance between corner bars in the direction of depth d1 = 480 mm
Asv = 150 mm2
Min. transverse reinforcement Asv = 107 mm2
Max. of above two values = 150 mm2
Sectional area of bar = 113 mm2
Nos. of legs required = 1.3
Provide 12 @ 300 mm c/cmm dia 2-legged stirrups
Asv = (Sv*(Tu/b1+Vu/2.5))/(d1*0.87*fy)Calculated area of transverse reinforcement as per 41.4.3-IS:456
Asv =( (τve-τc)*b*Sv)/(0.87*fy)
Structural Design of Power House Complex ( First Stage Construction) 58/61
Material Data:Characteristic strength of concrete fck = 25 Mpa
Characteristic strength of steel fy = 500 Mpa
Nominal Cover to be provided d' = 40 mm
Design Input:
Overall Depth of the Beam D = 600 mm
Width of the Beam b = 400 mm
Diameter of Stirrup = 10 mm
Diameter of main Reinforcement bar = 20 mm
Effective depth of beam d = 540 mm
Design Loads:
(Refer STAAD file for the Loads and Load combinations)
Design Moments
Maximum Factored Moment( Hogging) = 110 kN-m
Maximum Factored Span Moment ( Sagging) = 60 kN-m
Design for Bottom Reinforcement:
Factored span moment = 60 kN-m
Area of steel Ast = 262 mm2
Minimum reinforcement as per IS 13920 cl. 6.2.1(b) (0.24*sqrt(fck)*b*d/fy) = 518 mm2
Diameter of bar to be used = 20 mm
Sectional area of bar = 314 mm2
Number of bars required = 1.7
Provide 3 - 20 dia bars
Design for Top Reinforcement:
Factored Hogging Moment Mu = 110 kN-m
Factored Torsion at the Support Tu = 8 kN-m
Equivalent Factored Bending moment due to Torsion Tu x ((1+D/b) /1.7) Mt = 11 kN-m
As per Clause 41.4.2.1
Total Factored support bending moment = 121 kN-m
Area of steel Ast = 545 mm2
Minimum reinforcement as per IS 13920 cl. 6.2.1(b) (0.24*sqrt(fck)*b*d/fy) = 576 mm2
Diameter of bar to be used = 20 mm
Sectional area of bar = 314 mm2
Number of bars required = 1.8
Provide 3 - 20
Structural Design of Tie Beam ( at Max. span location)
0.5 x fck x{1- [1 - 4.6xMz/(fckxbd2)] 0.5 } x b x d
0.5 x fck x{1- [1 - 4.6xMz/(fckxbd2)] 0.5 } x b x d
fy
fy
Structural Design of Power House Complex ( First Stage Construction) 59/61
Design Shear Reinforcement
Max. Factored Shear Force Vu = 31 kN
Max. Factored Torsional Moment Tu = 8 kN-m
Width of the beam b = 400 mm
Equivalent shear Force Ve = Vu+ 1.6*Tu/b Ve = 61 kN
Equivalent Shear stress τve = Ve/(b*d) τve = 0.28 N/mm2
% of Tensile reinforcement provided at support As = 0.44 %
0.8xfck / ( 6.89xAs ) β = 6.65
Design shear strength of section for the provided tensile reinf. at support τc = 0.46 N/mm2
Spacing of the stirrup reinforcement sv = 300 mm
Diameter of Stirrup to be used = 10 mm
Centre to centre distance between corner bars in the direction of width b1 = 300 mm
Centre to centre distance between corner bars in the direction of depth d1 = 480 mm
Asv = 54 mm2
Min. transverse reinforcement Asv = -49 mm2
Max. of above two values = 54 mm2
Sectional area of bar = 79 mm2
Nos. of legs required = 0.7
Provide 10 @ 300 mm c/cmm dia 2-legged stirrups
Asv = (Sv*(Tu/b1+Vu/2.5))/(d1*0.87*fy)Calculated area of transverse reinforcement as per 41.4.3-IS:456
Asv =( (τve-τc)*b*Sv)/(0.87*fy)
Structural Design of Power House Complex ( First Stage Construction) 60/61
DESIGN INPUT
Grade of Concrete M-25
Grade of Steel Fe-500
Compressive Strength of Concrete fck = 25 N/mm2
Characteristic strength of reinforcement Steel fy = 500 N/mm2
Clear cover = 40 mm
Diameter of lateral tie = 12 mm
Width of column b = 500 mm
Depth of column D = 500 mm
Starting Elevation of column = 1347.77 m
Top Elevation of column = 1343.40 m
Unsupported length of column L = 4.37 m
REINFORCEMENT DETAILS
Dia of bars used = 25 mm
Effective cover d' = 65 mm
Percentage of reinforcemnt used p = 1.56 %
STAAD RESULTS (FACTORED)
Axial Force Pu = 366.00 kN
Moment within Plane My = 132.00 kN-m
Moment out of plane Mz = 111.00 kN-m
Corresponding torsion Tu = 22.50 kN-m
DESIGN MOMENTS ( within Plane )
Maximum bending moment from STAAD My = 132.00 kN-m
Equivalent bending moment for torsion Mey = 26.47 kN-m
Effective length of column Ley = L = 4.37 m
Slenderness ratio Ley/D = 8.74
Minimum eccentricity ez = 25.41 mm
Moment due to minimum eccentricity My,min = 9.30 kN-m
Additional moment due to eccnetricity May = 0.00 kN-m
Design Moment with in Plane Muy = 158 kN-m
INTERMEDIATE COLUMN ( 500 X 500)
Mey = (Tu/1.7)*(1+D/b)
MAX(Ley/500+D/30,20)
P*ez
DESIGN OF COLUMN FOR MAXIMUM MY
P*D/2000*(Ley/D)^2
Structural Design of Power House Complex ( First Stage Construction) 61/61
DESIGN MOMENTS (Out of Plane)
Maximum bending moment from STAAD Mz = 111.00 kN-m
Equivalent bending moment for torsion Mez = 26.47 kN-m
Effective length of column Lez = L = 4.37 m
Slenderness ratio Lez/b = 8.74
Minimum eccentricity ey = 34.15 mm
Moment due to minimum eccentricity Mz,min = 12.50 kN-m
Additional moment due to eccnetricity Maz = 0.00 kN-m
Design Moment out of Plane Muz = 137 kN-m
MOMENT CAPACITY ( within Plane )
d'/D = 0.129
p/fck = 0.062
Pu/(fckbD) = 0.059
Referring Chart 48 of SP-16 Muy,l/(fckbD2) = 0.100
Muy,l = 313 kN-m
MOMENT CAPACITY (Out of Plane)
d'/b = 0.129
p/fck = 0.062
Pu/(fckbD) = 0.059
Referring Chart 49 of SP-16 Muz,l/(fckDb2) = 0.100
Muz,l = 313 kN-m
COLUMN SECTION CHECK
Area of steel As = 3900 mm2
Ac = 246100 mm2
Puz = 0.45fckAc + 0.75fyAs Puz = 4231 kN
Pu/Puz = 0.09
an = 1.00
Muy/Muy,l = 0.51
Muz/Muz,l = 0.44
= 0.95 < 1.00(Muy/Muy,l)an+(Muy/Muy,l)an
Mez = (Tu/1.7)*(1+b/D)
MAX(Lez/500+b/30,20)
P*ey
P*b/2000*(Lez/b)^2