Bal Kumari Rai Report
Short Description
ETABS REPORT...
Description
Structural Analysis & Design Report
A STRUCTURAL DESIGN REPORT OF THE PROPOSED BUILDING OF RESIDENTIAL
OWNER:
Mrs. Bal Kumari Rai SUBMITTED TO:
Dharan Sub-Metropolitan city, Sunsari
Structural Analysis & Design Report TO WHOM IT MAY CONCERN This report comprises the summary of the residential building Mrs. Bal Kumari Rai Dharan-13 Sunsari Nepal. The reports consist of the design procedures adopted, the assumptions made, the inputs made in the design and the design output. During the design, it is assumed that the client will completely follow the architectural as well as the structural design. It is also assumed that the construction will be supervised by professional engineer.
The designer will not be responsible if any alterations to the structural system is made by the client or the contractor without the prior written permission from the designer, or the alterations to non-structural system is made such that the weight of each individual floor or the weight of the whole building is altered by more than 10% of design weight of each floor and the total weight.
The design calculations and derivations are limited to only a minimum to let the concerned people know the methodology adopted. However, the calculations may be provided to the client or concerned authorities when needed, upon request. Hence the building is safe.
Designer Er. Rabin Bhattarai Earthquake Engineer (M.E) Council No: 4944. “Civil” A
1
Structural Analysis & Design Report
TABLE OF CONTENTS
S.N. Title
Page No.
1
Introduction
1
2
Salient features
1
3
Design Approach and Methodology
3
4
Preliminary Design
6
5
Final Analysis
7
6
Design Methodology
8
7
Analysis Output
10
8
Design of Members
16
Structural Analysis & Design Report
1.0 Background This report summarizes structural analysis and design of the Residential building for Dharan Sub-Metropolitan City. The analysis and design has been based on the prevailing codes that are in practice in Nepal, the National Building Code of Nepal and the IS codes at places.
2.0 Salient Features 2.1 Project Information: Owner
:
Mrs. Bal Kumari Rai
Building Type
:
Residential Building
Location
:
Dharan-19
Plot no.
:
3570
Land Area
:
0-0-8.5
Plinth Area
:
892.25 sq.ft
2.2 Building Features: Type of Structure:
RCC Framed Structure
Storey:
2 storey
Storey Height:
3.175m
Total Height:
6.35 m
2.3 Site Condition: Soil Type:
III (for seismic consideration as per NBC 105)
Seismic Zone Factor:
1.0
Safe Bearing Capacity:
150 KN/m2 (assumed)
1
Structural Analysis & Design Report 2.4 Material Specification: Considering Architectural, Economic and strength demands reinforced cement concrete (RCC) is used as the major structural material. The selected material also confirms the availability and ease in construction. The concrete grade used is M20 as per Indian Standard Specification. This material provides minimum grade of structural concrete and favorable for easy production and quality control as well. Fe 500 is provided as longitudinal and shear reinforcing in Beams, Columns, foundations, and slabs wherever RCC is used.
Considerations of material for loading and strength parameter are as detailed below:
Structural Components: Concrete: Grade:
M20
Characteristic Compressive Strength:
20 N/mm2
Unit Weight:
25.0 KN/m3
Young’s Modulus of Elasticity (E):
= 5000 fck N/mm2 ≈ 22360680 KN/m2 (for M20)
Steel Reinforcement: Grade:
Fe 500 (for both longitudinal and shear reinforcement)
Non-Structural Components: Brick wall: Unit Weight:
18.85 KN/m3
Strength:
Not Available
Finishing: Plaster: Unit Weight:
20.4 KN/m3
Flooring:
Screed + Punning
Unit Weight per meter:
1.2 KN/m2
2
Structural Analysis & Design Report 2.5 Loading Details Number of Storey
2 Storey
Loading in General
Structural Self Weight
(Gravity loads)
Live Load for residential services Dead load of finishing materials for floor
Panel walls
250mm & 125mm thick brick walls without openings 125mm thick brick walls with 30% openings
Partition walls
125mm thick (half brick) walls with 30 & 20% openings
Parapet walls
125 mm thick (half brick) wall height 0.8m
Live Load
As per IS 875 Part II
Lateral Loading
As per NBC 105:1994
❖ The loads distributed over the area are imposed on area element and that distributed over length are imposed on line element whenever possible. ❖ Where such facility is not feasible, equivalent conversion to different loading distribution is carried to load the Model near the real case as far as possible. ❖ For lateral load, necessary calculations were performed and checked using NBC 105: 1994 for response spectrum method. ❖ Different load combinations based on Nepal National Codes are developed and used for design purposes. Load Combinations: The load combinations are based on NBC 105: 1994 Static Load Combination: 1.5 DL + 1.5 LL Seismic Load Combinations: 1.0 DL + 1.3 LL 1.25 EQ 0.9 DL 1.25 EQ For seismic loading, mass equivalent to the load that composed of 100% of Dead load and 25% of Live load is taken into consideration. The Earthquake lateral loads were used in the combination from the Self-Generated Load on the Seismic coefficient Method. Modal analysis is carried out using FEM Based three dimensional analyses.
3
Structural Analysis & Design Report
3.0 Design Approach and Methodology: 3.1 Introduction The structure is analyzed for full Finite Element. Beams and columns modeled as frame (line) elements with five and three internal stations. All floor slabs are modeled as Shell (Area) elements with sufficient and appropriate meshing. Modulus of elasticity and Poisson’s ratio for used material i.e. M20 grade concrete (as per Indian Specification) are taken accordingly and section properties used are based on Preliminary section sizing with consideration for deflection, minimum size specified and serviceability. Computation for stiffness as a whole is carried out using FEM based latest software. Full Modal Analysis is carried out up to twelve modes confirming more than 95 % seismic mass participation and it is applied for lateral seismic force distribution that generated with NBC 105 based Spectral Function for Soil Type-III. For Section Design and Check, suitable Load combinations as suggested in NBC105:1994 and if not covered in that, IS 1893- 2002 is referred with consideration of Envelopes of internal Forces developed. Foundation design is carried out to satisfy strength and stability requirements. 3.2 Software used: (Introduction to Analysis software) The analysis for the structural system was carried out using ETABS 2016 ver 16.0.0 is a product of computers and structures Inc, Berkeley. It is a FEM based software having facility of RC Design based on IS-456:2000
3.3 Structural Performance: Structural response under limit state of serviceability is thoroughly checked. The force and stiffness relationship resulting the deflection under various load cases and combined action of forces are duly evaluated. Basically short-term elastic deflection due to vertical loads and lateral deflection due to seismic forces are of major importance along with the long-term deflection of beam elements under sustained loading condition due to shrinkage and creep are also taken into account.
4
Structural Analysis & Design Report 3.4 Deformation under Vertical Loads: Maximum vertical deflection in all components that resulted under vertical load of combined effect of self, imposed dead and live load are checked for every element and maintained to be within permissible limit. Short-term elastic deflection and long-term deflection due to shrinkage and creep due to sustained loads also are maintained within permissible limits for all the elements.
3.5 Deformation under Lateral Loads: Effect of lateral load due to seismic force is analyzed using self-generated seismic load compatible with Codal provision. The distribution of lateral force at different parts of the structure is done based on the response under unit force. Using Complete Quadratic Combination (CQC) method of modal combination combines the deformations, and related forces reported.
3.6 Recommendations: The following recommendations are made: •
Materials used shall confirm minimum standard specified before use. Primarily the cement, aggregate, sand and steel shall be used that confirms to NS or IS standard.
•
Batching, mixing, placing and curing of concrete and steel fabrication and placing shall be done as per standard practice.
•
5
Construction safety shall be well planned and implemented.
Structural Analysis & Design Report
4.0 Preliminary Design The Preliminary Design was done using the prevailing thumb rules and span consideration. Slab: The slab is designed based on IS456:2000. The slab is designed to meet the deflection criteria for the slab. Beam: The beam is designed based on IS456:2000. The slab is preliminarily designed to meet the deflection criteria as well as the moment requirements for the span. Column: The column is preliminarily designed to meet the stiffness criteria for the building. Staircase: The staircase is designed to satisfy the moment requirement as well as the deflection criteria.
The sizes of the structural components are as given below: Sizes of Structural Components: Slab:
5” thick RCC (M20) Slab
Beam:
Rectangular Beams size-
Column:
Square size-
Staircase:
5” thick
6
10” X 15” (BXD)
12”X 12” (HXB)
Structural Analysis & Design Report
5.0 Final Analysis 5.1 Load Calculations: Refer Table: Load Intensity of Building Components Live Load:
2.0 KN/m2 (for all rooms)
Live Load:
3 KN/m2 (for staircases and lobbies)
Roof Live Load:
1.5 KN/m2 (for roof accessible), 0.75 KN/m2 (for roof inaccessible)
5.2 Seismic Lump Load: Seismic weight: Comprises Dead Load+ 25% of Live Load (as per IS Code for live load intensity 3 KN/m2) Seismic wt. at ith floor level (WI) = (Total dead load of all components i.e. Beam, Slab, Columns And Walls for ½ height above and ½ height below the floor level + 25% of live load) n
Total Weight of the frame, W= Wi
Where, n = total number of storey
I=1
Seismic Wt. of Building W = 3086.80 KN Base Shear Calculation: As Per NBC 105: Total Horizontal Base Shear V= Cd W Where, Cd = CZIK Where, Basic Shear Factor (C)
= According to time period of vibration and Soil type
Seismic Zoning Factor (Z) = For Dharan Importance Factor (I)
= According to the type of building
Performance Factor (K)
= for the moment resisting frame
Distribution of design seismic force: Fi = Design Seismic Force at floor Level I Wi = seismic wt. at ith floor level hi = height of floor i measured from base According to NBC 105:1994 Height of building (h) = 6.35 m Soil type = III
7
Structural Analysis & Design Report Time period (T) = 0.06 H0.75 = 0.240012 Sec C = 0.08
(from Fig 8.1 of NBC105:1994)
Z = 1.00
(for Dharan, Fig 8.2 of NBC105:1994)
I = 1.0
(for Residential Bldg., Table 8.1 of NBC105:1994)
K = 1.00
(for Ductile Moment resisting Frame, Table 8.2 of NBC105:1994)
Cd = CZIK = 0.08 Total Horizontal Base shear Vx = Vy = 0.08*3086.80 Total Horizontal Base shear Vx = Vy = 246.95 KN
5.3 Load Cases: Dead : Self Weight of the building structural components (Beams, columns and slabs) Finish : Weight of the finishing of the slabs as well as staircases (including steps). Wall
: Wall loads (inclusive of plaster)
Live
: Live load in the building area elements.
Rlive : Live load in the terraces both accessible and inaccessible (not including in seismic behaviour) EQX : Spectral Seismic Load in X – Direction EQY : Spectral Seismic Load in Y – Direction
5.4 Load Combination: DL = 1.5Dead + 1.5Finish + 1.5 Wall + 1.5 Rlive + 1.5Live DQX = 0.9 Dead + 0.9 Wall + 0.9 Finish ± 1.25 EQX DQY = 0.9 Dead + 0.9 Wall + 0.9 Finish ± 1.25 EQY DLEQX = 1.0 Dead + 1.0Wall + 1.0 Finish + 1.3 Live ± 1.25 EQX DLEQY= 1.0 Dead + 1.0 Wall + 1.0 Finish + 1.3 Live ± 1.25 EQY
8
Structural Analysis & Design Report
6.0 Design of Structural Members 6.1 Design Assumptions: Foundation The Safe Bearing Capacity (SBC) of the soil is taken to be 150 KN/m2. The depth of the foundation is taken as 1.67 m. It is assumed that the soil below is converted to a firm base by sufficient compaction through any convenient means or as directed by the site engineer.
Beam: The beams are assumed to be rectangular. The preliminary design of the beam is carried out considering the deflection criteria as well as the loading condition.
Slab: The longest span slab is designed and for uniformity in construction, all the slabs are detailed according to the designed slab. The slab is designed based on IS 456:2000, for adjacent edge discontinuous. However during detailing, the torsion in the free edges is considered.
6.2 Design Methodology: The design of beams and columns that are the structural components in the building are carried out using the results and analysis for critical responses and also checking with manual calculations is carried out. The design of the foundation is carried out based on the base reactions as obtained from the software with necessary adjustments. The design of slabs and staircases are carried out based on the prevailing design practices, following the codal provisions.
6.2 Calculation of Wall Loads. The calculations of the loads are given in the following tables:
Load Intensity of Wall 10”Thickness of wall Full wall intensity =15.0 KN/M 20% opening Wall intensity =12.0KN/M 30% opening Wall intensity =10.5KN/M 5”Thickness of wall Full wall intensity 9
Structural Analysis & Design Report =7.50 KN/M 20% opening Wall intensity =6.0 KN/M 30% opening Wall intensity =5.2 KN/M Parapet 5”wall Parapet wall =3.0 KN/M
10
Structural Analysis & Design Report
7.0 ANALYSIS OUTPUT Result from Structural models and analysis
3D Model of the Building
11
Structural Analysis & Design Report
JOINT REACTIONS
12
Story
Joint Label
Base Base Base Base Base Base Base Base Base Base Base Base
10 3 4 6 7 14 17 21 22 23 24 27
TABLE: Joint Reactions Load Case/Combo FX FY kN kN 1.5(DL+LL+RL+FL+WL) 3.5771 3.7083 1.5(DL+LL+RL+FL+WL) 4.1222 0.4727 1.5(DL+LL+RL+FL+WL) 5.2263 -4.672 1.5(DL+LL+RL+FL+WL) 1.9107 5.544 1.5(DL+LL+RL+FL+WL) 0.8353 0.0537 1.5(DL+LL+RL+FL+WL) 0.7242 -5.0415 1.5(DL+LL+RL+FL+WL) -0.1212 5.1236 1.5(DL+LL+RL+FL+WL) 1.0958 0.3973 1.5(DL+LL+RL+FL+WL) 1.1497 -5.1266 1.5(DL+LL+RL+FL+WL) -4.9846 2.9174 1.5(DL+LL+RL+FL+WL) -6.7446 0.3607 1.5(DL+LL+RL+FL+WL) -6.7909 -3.7376
FZ MX MY kN kN-m kN-m 246.7322 1.3726 -22.836 412.1177 0.4283 -17.0281 288.3131 -1.069 -31.804 364.9426 3.0244 18.2529 678.0106 7.6785 18.8904 598.4839 -11.0485 0.4507 359.587 3.4688 -14.5537 673.7878 7.3251 -15.1599 601.6885 -10.9542 3.605 223.1329 9.5511 21.9107 369.4087 1.7655 14.9653 263.1519 -10.5692 30.4767
MZ kN-m -0.0014 -0.0014 -0.0014 -0.0014 -0.0014 -0.0014 -0.0014 -0.0014 -0.0014 -0.0014 -0.0014 -0.0014
Structural Analysis & Design Report Design Plan (Ground Floor)
13
Structural Analysis & Design Report Design Plan (First Floor)
14
Structural Analysis & Design Report
Shear Force Diagram (Sample only)
15
Structural Analysis & Design Report
Axial Force Diagram (Sample only)
16
Structural Analysis & Design Report
Bending Moment Diagram (Sample only)
17
Structural Analysis & Design Report
8.0 Design of Members Design of Beams and Columns The design of beams and columns are done from the software itself. However, it is to be notified that the limitations of the design by the software have been evaluated and the adjustments have been made accordingly. The samples (summary) of the design through the software based on IS456: 2000 has been presented hereunder. Output for the Reinforcement Area (Beams and Columns)
Grid -1
18
Structural Analysis & Design Report
Grid –2
19
Structural Analysis & Design Report
Grid –3
20
Structural Analysis & Design Report
Grid –A
21
Structural Analysis & Design Report
Grid-B
22
Structural Analysis & Design Report
Grid-C
23
Structural Analysis & Design Report
Grid –D
24
Structural Analysis & Design Report
Storey 1st
25
Structural Analysis & Design Report
Storey 2nd
26
Structural Analysis & Design Report
Storey 3rd
27
Structural Analysis & Design Report
Column Reinforcement Column Type
Ground floor
First floor
Stair cover
STIRRUPS
C-1 (12"X12") 4-16Ø+ 4-12Ø 4-16Ø+ 4-12Ø
X
C-2(12"X12") 4-16Ø+ 4-12Ø 4-16Ø+ 4-12Ø
8-12Ø
8mm DIA @ 4" C/C near joint & 6" C/C at mid
Beam Detail S.No
Description
1
Ground Floor Beam
2
Top Floor Beam
3
Staircase Coverfloor beam
Size of At Joint At Mid Stirrups Remarks Column Position mm Top 2-16ØTh.+ 1-16Ø Ext. 2-16ØTh. 10"X15" Bottom 2-12ØTh.+ 1-16Ø Th. 2-12ØTh.+ 1-16Ø Th. 8mm dia bar 2- Legged@ Top 2-12ØTh.+ 1-16Ø Th. 2-12ØTh.+ 1-16Ø Th. 4" c/c at 2d distance from 10"X15" M20 Concrete beam joint & 6" remaining Bottom 3-12ØTh. 3-12ØTh. distance Top 3-12ØTh. 3-12ØTh. 10"X15" Bottom 3-12ØTh. 3-12ØTh.
Isolated Footing Reinforcement Details Footing Type
Size
Reinforcement in x -direction & ydirection
Concrete Footing Footing depth edge depth depth from Ground level
F-1
4'-0"'x4'-0" 12mm Ø @ 6" spacing on both side
14"
6"
5'-6"
F-2
5'-0"'x5'-0" 12mm Ø @ 6" spacing on both side
14"
6"
5'-6"
Strap Footing Reinforcement Details Footing Type SF-1 SF-2
Size
Reinforcement in x -direction & ydirection
4'-0"'x4'-0" 12mm Ø @ 6" spacing on both side 5'-0"'x5'-0" 12mm Ø @ 6" spacing on both side
Concrete Footing Footing depth Edge depth depth (inch) from Ground level 14" 14"
6" 6"
5'-6" 5'-6"
Strap Beam Reinforcement Details Type SB-1 SB-2
28
Size 12"X 14" 12"X 14"
Top reinforcement 5-16mmØ Th. (2-16Ø +1-12Ø)Th.
Bottom reinforcement (2-16Ø +1-12Ø)Th. (2-16Ø ) Th.
Stirrups 2-L -8mm Ø @ 4" C/C th. 2-L -8mm Ø @ 4" C/C th.
Structural Analysis & Design Report
ETABS 2016 Concrete Frame Design IS 456:2000 Column Section Design
Column Element Details Type: Ductile Frame (Summary) Level
Element
Unique Name
Section ID
Combo ID
Station Loc
Length (mm)
LLRF
Story1
C24
104
C-12"X12"
DL+FL+LL+WL+1.3LL+1.25EQX
0
3175
0.981
Section Properties b (mm)
h (mm)
dc (mm)
Cover (Torsion) (mm)
304.8
304.8
56
30
Material Properties Ec (MPa)
fck (MPa)
Lt.Wt Factor (Unitless)
fy (MPa)
fys (MPa)
22360.68
20
1
500
500
Design Code Parameters ɣC
ɣS
1.5
1.15
Axial Force and Biaxial Moment Design For Pu , Mu2 , Mu3 Design Pu kN
Design Mu2 kN-m
Design Mu3 kN-m
Minimum M2 kN-m
Minimum M3 kN-m
Rebar Area mm²
Rebar % %
153.9773
-10.0901
56.8762
3.0795
3.0795
1346
1.45
Axial Force and Biaxial Moment Factors K Factor Unitless
Length mm
Initial Moment kN-m
Additional Moment kN-m
Minimum Moment kN-m
Major Bend(M3)
0.730792
2794
22.7505
0
3.0795
Minor Bend(M2)
0.721934
2794
-6.1679
0
3.0795
Shear Design for Vu2 , Vu3 Shear Vu kN
Shear Vc kN
Shear Vs kN
Shear Vp kN
Rebar Asv /s mm²/m
Major, Vu2
33.1862
56.1471
30.3333
29.2952
337.85
Minor, Vu3
27.3502
56.3112
30.3333
27.3502
337.85
Joint Shear Check/Design
Major Shear, Vu2
29
Joint Shear Force kN
Shear VTop kN
Shear Vu,Tot kN
Shear Vc kN
Joint Area cm²
Shear Ratio Unitless
N/A
N/A
N/A
N/A
N/A
N/A
Structural Analysis & Design Report Joint Shear Force kN
Shear VTop kN
Shear Vu,Tot kN
Shear Vc kN
Joint Area cm²
Shear Ratio Unitless
N/A
N/A
N/A
N/A
N/A
N/A
Minor Shear, Vu3
(1.1) Beam/Column Capacity Ratio Major Ratio
Minor Ratio
N/A
N/A
Additional Moment Reduction Factor k (IS 39.7.1.1) Ag cm²
Asc cm²
Puz kN
Pb kN
Pu kN
k Unitless
929
13.5
1340.85
309.5249
153.9773
1
Additional Moment (IS 39.7.1) Consider Ma
Length Factor
Section Depth (mm)
KL/Depth Ratio
KL/Depth Limit
KL/Depth Exceeded
Ma Moment (kN-m)
Major Bending (M3 )
Yes
0.88
304.8
6.699
12
No
0
Minor Bending (M2 )
Yes
0.88
304.8
6.618
12
No
0
Notes: N/A: Not Applicable N/C: Not Calculated N/N: Not Needed
ETABS 2016 Concrete Frame Design IS 456:2000 Beam Section Design
Beam Element Details Type: Ductile Frame (Summary) Level
Element
Unique Name
Section ID
Combo ID
Station Loc
Length (mm)
LLRF
Story1
B2
18
B-10"X17"
DL+FL+LL+WL+1.3LL-1.25EQY
152.4
4216.4
1
Section Properties b (mm)
h (mm)
bf (mm)
ds (mm)
dct (mm)
dcb (mm)
254
431.8
254
0
25.4
25.4
Material Properties
30
Structural Analysis & Design Report Ec (MPa)
fck (MPa)
Lt.Wt Factor (Unitless)
fy (MPa)
fys (MPa)
22360.68
20
1
500
500
Design Code Parameters ɣC
ɣS
1.5
1.15
Factored Forces and Moments Factored Mu3 kN-m
Factored Tu kN-m
Factored Vu2 kN
Factored Pu kN
-66.5078
2.1519
66.1414
-0.6257
Design Moments, Mu3 & Mt Factored Moment kN-m
Factored Mt kN-m
Positive Moment kN-m
Negative Moment kN-m
-66.5078
3.4177
0
-69.9255
Design Moment and Flexural Reinforcement for Moment, Mu3 & Tu Design -Moment kN-m Top
(+2 Axis)
Design +Moment kN-m
-Moment Rebar mm²
+Moment Rebar mm²
Minimum Rebar mm²
Required Rebar mm²
426
1
426
235
235
1
0
235
-69.9255
Bottom (-2 Axis)
0
Shear Force and Reinforcement for Shear, Vu2 & Tu Shear Ve kN
Shear Vc kN
Shear Vs kN
Shear Vp kN
Rebar Asv /s mm²/m
82.9436
45.2238
51.8664
39.3777
353.66
Torsion Force and Torsion Reinforcement for Torsion, Tu & VU2
31
Tu kN-m
Vu kN
Core b1 mm
Core d1 mm
Rebar Asvt /s mm²/m
2.1519
66.1414
223.2
401
249.45
Structural Analysis & Design Report Slab Design Input Parameters Length of shorter span (lx) = Length of longer span (ly) = Support condition
3.13 4.32
m m
4
Slab type
= =
23 1
(assumed) = ly/lx = Design two way slab
1.25 1.38
Assume grade of concrete (fck) = Assume steel (fy) = Thickness of marble finishing = Thickness of screed = Thickness of plaster = Unit weight of marble = Unit weight of screed = Unit weight of plaster = Unit weight of concrete = Live load = Assume bar diameter =
M Fe 25.00 25.00 20.00 26.70 20.40 20.40 25.00 2 8.00
Effective depth of slab (d) Assume, d = Total depth of slab, D =
108.87 98.00 127.00
20 500 mm mm mm KN/m3 KN/m3 KN/m3 KN/m3 KN/m2 mm 10 mm mm mm
3.18 0.67 0.51 0.41 1.00 5.76 7.76 11.64
KN/m2 KN/m2 KN/m2 KN/m2 KN/m2 KN/m2 KN/m2 KN/m2
Dead load calculation of slab Dead load of slab due to concrete = Dead load due to floor finish (marble) = Dead load due to screed = Dead load due to plaster = Partition load = Total dead load = Dead load + Live load = Design load = Bending moment Coefficients
32
Max. bending moment
x =
0.0522
Mx =
5.95
KNm
x =
0.0698
-Mx =
7.96
KNm
y =
0.0350
My =
7.60
KNm
y =
0.0470
-My =
10.21
KNm
Mmax =
10.21
KNm
Structural Analysis & Design Report
Check depth for moment Required depth for moment = Provided depth, d = Required depth is
<
60.82 98.00
mm mm
Provided depth
O.K. safe
0.025 0.025 Ast = Ast =
Area of steel Solving quadratic equation Ast2 + -98.00 Ast + 2 Ast + -98.00 Ast + Bottom bars 3732.69 mm2 Ast = 2 187.31 mm Ast =
17479.43 23472.38 Top bars 3663.73 256.27
= 0 = 0 mm2 mm2
Spacing required
rods @ 8 rods @ 8
268.2
mm c/c
Bottom bars
196.0
mm c/c
Top bars
150.0
mm c/c
Bottom bars
150.0
mm c/c
Top bars
Spacing provided
rods @ 8 rods @ 8
Check for shear Provided Ast = p% =
334.93 0.34
c' =
0.40
c =
0.53
Max.shear force (Vu) =
18.22
v =
0.19
c
mm2 k= 2
N/mm
1.3 IS 456:2000 (Table 19)
2
N/mm KN
N/mm2
v
> O.K. safe
Check for minimum steel Minimum steel (0.12%) Provided steel 2 < 117.60 mm 334.93 mm2 O.K. Check for deflection = =
23 1
fs = =
Allowable L/d = Actual L/d =
42.55 31.94
Allowable L/d
> O.K.
33
162.183 1.850
Actual L/d
= =
1 1
Structural Analysis & Design Report Design of Staircase
Concrete
M20
20.00 N/mm2
Steel Riser Thread
Fe500 R T
500.00 N/mm2 0.15 m 0.25 m
SQRT(R2+T2)/T
1.17
Effective Span
l
4318.00
Assumed effctive Depth
d
102.81
mm
Provide Cover
12.00
Overall Depth
D
120.81
Take Overall Depth Effective Depth
D d
127.00 mm 109.00 mm
steel Diameter
12
Load Calculation for Waist Slab Self wt. of waist Slab
3.70
kN/m2
Floor Finishes
1.50
kN/m2
Live Load
3.00
kN/m2
Total Load w 8.20 Factored Load wu 9.84 Considering 1m wide strip of Slab Length Left 1.1 Load/m2 4.921593 Reaction at support
15.33076
Max. Bending Moment
31.32901
kN/m2 kN/m2 Center
2 9.84
Right
0.133fckbd2=Mu Reqd Depth
d
Calculation for Reinforcement Mu/bd2 R
34
108.53
mm
2.64
Mpa
Provided Effective Depth (d)=109> 108.53 Hence Safe ok
1.13 4.921593
Structural Analysis & Design Report
Steel Required Spacing
(Ast)reqd
812.01
mm2
Provide 12 mm dia bar 139.16
s
Provide 12mm bar @125c/c( Main Bar) Steel provoded
(Ast)prvd
Calculation for distribution bar Steel (Ast)reqd Required Spacing s Provide 10 mm bar @150c/c Steel provoded
(Ast)prvd
1130.00
Provided Steel =1130mm2 > 812.01 mm2 , Hence Safe ok
152.40
mm2 Provide 120mm dia bar 334.65
255.00
Provide 12mm bar @125 c/c (Main Bar) Provide 10mm bar @150 c/c (Distribution Bar)
35
mm2
mm2
Provided Steel =255mm2 > 162.0mm2 , Hence Safe ok
Structural Analysis & Design Report
Isolated Footing Design Foundation Type : F-2 Required Data size of colunm= l= b= Bearing Capacity of Soil= Strength of Steel (fy)= Strength of Concrete (fck)= Factor Load= Axial Load =
0.3 0.3 150 500 20 365 267.67
m m KN/m² N/mm² N/mm²
Approximate area of footing= Weight of footing including earth= Axial Load = Total weight on soil= Actual Area= Size of Square Footing =
1.78 53.53 267.67 321.20 2.14 1.463
m²
Adopted size= L= 1.470 B= 1.470 Actual area of footing = 2.1609 Net Pressure acting upwads = 168.91 B. M. at the face of column about an axis =
( M 20 )
KN
KN KN m² 4.801
m m m² KN/m² 42.49
KN-m
The effective depth required is given by BM= 0.133 fck*bd^2 d=
102.33
mm
Adopt d = 2 to 3 Times of calculated value of d for Shear considerations. Adop. d= 300 mm D= 350 mm Check for one-way Shear action The critical section is taken at distance d away from the face of column Shear force Vu= Nominal shear stress (Tv) =
70.77
KN Vu/b*d =
0.16
N/mm²
Allowable Shear Stress of Concrete for pt% of Steel < = 0.15 & ( M 20 ) 0.28 For 0.074% Tc = 0.28 N/sq.mm (From IS 456: 2000, table 19) Hence, OK Tc should be equal to or greater than Tv Check for two-way Shear action The critical section is taken at a distance of 0.5d away from the face of column , Shear force Vu= 304.19 KN Nominal Shear Stress(Tv) = Vu/b'd (Where b' is the periphery of critical section ) and b' = 2400 mm So, Nominal Shear Stress(Tv) =
36
0.42
N/mm²
Structural Analysis & Design Report Shear Strength of concrete is Tc = 1.12 N/sq.mm T'c = Ks*Tc Where Ks=(0.5+Bc) Bc=length of shorter side of column/length of longer side of column Bc= 1 Ks= 1.5 should not be greater than 1 Take(Ks)= 1 T'c= 1.12 N/mm² Hence, OK T'c should be greater than Tv Area of Steel Calculation, Area of Steel is given by formula, BM = 0.87* fy* At*{d-fy*At/(fck*b)} Then, Ast = 331.81 sq.mm > Ast min = 0.12% of b * d Ast per m = 225.72 360 mm² Req. Area of steel = 360.00 mm² % of steel= 0.075 Steel requied as 12 mm bar @ 314.16 mm c/c distance. Provide Steel as =
37
12 Provided steel =
mm bar @ 753.98
150 mm² Hence Ok.
mm c/c distance.
Structural Analysis & Design Report
Strap Footing Design Sample
Point Loads (DEAD - LIVE) [kN, kN-m]
38
Structural Analysis & Design Report
Slab Strip Design - Layer A - Top Reinforcement Intensity (Enveloping Flexural) [mm2/m] - 12 mm Ø @ 150 mm (Top). Depth-14” thick.
39
Structural Analysis & Design Report
Slab Strip Design - Layer A - Bottom Reinforcement Intensity (Enveloping Flexural) [mm2/m] - 12 mm Ø @ 150 mm . Depth-14” thick.
40
Structural Analysis & Design Report
Strap Beam Reinforcement details (12”X14”) SB-1 # Top bar – 2-16Ø +1-12 Ø Th. & Bottom bar - 2-16Ø.Th. SB-2 # Top bar – 5-16Ø & Bottom bar - 2-16Ø +1-12 Ø Th Stirrups - 2-L 8.Ø @ 4” mm Throughout.
41
Structural Analysis & Design Report
List of design code and Standards 1.
NBC-000-114:1994
: All relevant design codes in Nepal
2.
IS 456 – 2000
: Code for practice for plain & Reinforced concrete
3.
IS 875 – 1987
: Code of practice for Design Loads (other than earthquake load) for building & structures.
4.
IS 1893(part-I)-2002
: Code of practice for earthquake resist design of Structures.
5.
IS 13920 – 1993
: Code of practice for Ductile detailing of Reinforced Concrete structures subjected to seismic forces.
6.
SP: 16 – 1980
: Design aids for Reinforced concrete to IS 456 -1978
7.
ETABS 2016 V 16.0.0
: Proprietary program of Research Engineers.
8.
SAFE V 2012
: Foundation Design
42
Structural Analysis & Design Report
43
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