Final Report
Final Report
Urlabari, Morang
STRUCTURE ANALYSIS
AND DESIGN REPORT
MAIN REPORT AND ANNEX
Urlabari, Morang
November 2024
STRUCTURAL ANALYSIS REPORT
Table of Contents
1. Project Details.......................................................................................8
1.2 Materials..............................................................................................10
1.2.1 Concrete............................................................................................ 10
2.1.1 Slab.................................................................................................... 16
2.1.2 Beam................................................................................................. 16
2.1.3 Column.............................................................................................. 16
List of Figures
Figure 2-9: Deformed shape under dead load and mode 1..................................25
Figure 2-10: Deformed shape under modal load case (Mode 2 and 3)................26
List of Table
Executive summary
The key goals of the project are to study and design building structures in
accordance with Indian standards code provisions. The building’s global response
to drift, displacement, and eccentricity are evaluated.
Finite element analysis showed that the anticipated performance of the building
subjected to meet IS seismic hazard level requirements. The following
conclusions can be obtained from this report:
1. Project Details
Name of the Project: Residential Building
Type of Building: The building covers a ground floor plinth area of 981
sq. ft. The building has been designed for a G+3 story
with a staircase cover.
The report has been prepared as a part of the structural engineering analysis
and design of buildings.
Building Grids
Direction Frame Naming
Transverse A-A, B-B, C-C, D-D
Longitudinal 1-1, 2-2, 3-3
1.2 Materials
1.2.1 Concrete
All components of plain and reinforced concrete unless specified in design are
M25 grade. Modulus of Elasticity [Ec]= 5000 √fck N/mm2(Cl. 6.2.3.1, IS 456:2000)
= 25000 N/mm2 for M25 Grade.
Poisson’s Ratio [U] = 0.2
Unit Weight = 25 KN/m3
Characteristic Strength [ƒck] = 25 N/mm2 for M25 grade.
The structural design strength is derived from the characteristic strength
multiplied by a coefficient of 0.67 and divided by the material partial safety
factor. The partial factor for concrete in flexure and axial load is 1.5.
The following considerations are made during the loading of the structural
model:
The loads distributed over the area are imposed on the area element and
the loads distributed over the length are imposed on the frame elements
whenever possible.
Where such loading is not possible, equivalent conversion to different
loading distribution is carried to load the model near the real case as far
as possible.
Dead loads are calculated on the basis of unit weights of the specified
construction materials in accordance with IS 875 part 1 1987. The following are
assumed for detail load calculation.
R.C.C Slab, Beam and Column = 25.0 KN/m3
Screed (25mm thick) = 19.2 KN/m3
Cement Plaster (20mm thick) = 20.40 KN/m3
Marble Dressed = 26.50 KN/m3
Standard Brick = 19.2 KN/m3
Based on the architectural drawing of the building, dead loads due to partition
walls, floor finish, and other special purpose services have been calculated. Wall
loads are applied underneath beam if the wall is rested on the beam.
Live load for the floor and Roof is taken from IS 875 part 2 as referred by the IS
code.
S.
Area type Load Unit
N
1 Terrace (Accessible) 1.5 KN/m2
2 Terrace (Inaccessible) 0.75 KN/m2
Staircase Balcony and
3 3 KN/m2
Passage
4 Partition Load 1 KN/m2
5 Washroom 2 KN/m2
6 Kitchen/Bedroom/Office 2 KN/m
The design seismic force is transmitted throughout the building's height to the
various lateral load-resisting elements acquired via the use of both the linear
static (seismic coefficient) and dynamic response spectrum techniques of study.
The soil type is type II with 5% damping to determine the average response
acceleration.
In ETABS 2023 v21, the seismic load is applied to the building using a user-
defined lateral load pattern, taking into account IS 1893 (part 1): 2016. This load
scenario is considered to be static linear, and the required data are provided
under the following assumptions.
0.75
= 0.075h [IS 1893 (Part 1): 2016, Cl. 7.6.2]
Where,
Where, h= Height of the building in m is defined in clause 7.6.1 and
d=Base dimension of the building at the plinth level in meters, along the
considered direction of the lateral force
The total design lateral force or design seismic base shear (Vb) along any
principal direction shall be determined by the following expression:
𝑉𝑏= Ah× 𝑊
Where Ah= Design horizontal acceleration spectrum value as per 6.4.2. IS 1983
(Part I): 2016,
Using the fundamental natural period Ta as per 7.6 in the considered direction of
vibration, and W= Seismic weight of the building as per clause 7.4.2
The base shear is distributed as lateral seismic force Qi induced at each level I
and is calculated as:
Where,
The load combinations are based on NBC 105-2020. The following load
combinations are specified as per NBC 105, cl. 3.6:
1.5 (DL + LL)
1.5 (DL + EQ(x))
1.5 (DL – EQ(x))
1.5 (DL + EQ(y)
1.5 (DL – EQ(y)
1.2 (DL + LL + EQ(x)
1.2 (DL + LL – EQ(x)
1.2 (DL + LL + EQ(y)
1.2 (DL + LL – EQ(y)
0.9DL + 1.5EQ(x)
0.9DL - 1.5EQ(x)
0.9DL + 1.5EQ(y)
0.9DL - 1.5EQ(y)
1.5DL
Design Assumptions
For the above loads and load combinations, the design of beams and columns is
carried out by the ETABS.
The analysis and design have been carried out using software called ETABS
v21.2, which is a special-purpose computer program developed specifically for
building structures. It provides the Structural Engineer with all the tools
necessary to create, modify, analyze, design, and optimize the structural
elements in a building model. The building geometry based on architectural
drawings has been generated using above-named software. The dead load, live
load, and lateral loads were supplied to the digital models as per the standard
code of practices. Several analysis run were performed to achieve the best result
to meet the design and service requirements.
For the analysis, the following loading parameters were considered:
i. Self-weight of the frames and slabs
ii. Floor finishing dead loads
iii. Fixed wall loads as per architectural drawings
iv. Partition wall loads as per architectural drawings only.
v. Live loads
For the analysis, dead load is also necessary which depends upon the size
of member itself. So it is necessary to pre-assume logical size of member which
will neither overestimate the load nor under estimate the stiffness of the
building. So, the tentative sizes of the structural elements are determined
through the preliminary design so that the pre-assumed dimensions may not
deviate considerably after analysis thus making the final design both safe and
economical. Tentative sizes of various elements have been determined as
follows:
2.1.1 Slab
2.1.2 Beam
Preliminary design of the beam is done as per the deflection criteria as directed
by code Clause 23.2.1 of [IS 456: 2000] and ductility criteria of ACI code. The
cover provided is 30 mm and the grade of concrete used in the design is M25.
According to which,
Span ≤ (Mft x Mfc) x Basic Value x Correction Factor
Eff. Depth for span x Correction Factor for Flange
But,
According to Ductility code, Spacing of Stirrups in beam should not exceed d/4 or
8 times diameter of minimum size of bar adopted and should not greater than
100mm. So, for considering construction difficulties in actual field, it is logical to
use d/4 as spacing as per the construction practice in Nepal.
2.1.3 Column
Figure 2-11: Deformed shape under modal load case (Mode 2 and 3)
Modal analysis was performed to determine the free vibration and dynamic
behavior of the building.
Table 2-8 : Modal Participating Mass Ratios
TABLE: Modal Participating Mass Ratios
Case Mode Period UX UY SumUX SumUY RZ SumRZ
sec
Modal 1 0.768 0.0007 0.82 0.0007 0.82 0.0204 0.0204
Modal 2 0.696 0.8225 0.0029 0.8232 0.8229 0.0249 0.0452
Modal 3 0.627 0.029 0.0236 0.8522 0.8464 0.81 0.8553
Modal 4 0.256 0.0001 0.0987 0.8523 0.9451 0.012 0.8673
Modal 5 0.241 0.0966 0.0013 0.9489 0.9464 0.0057 0.8729
Modal 6 0.21 0.0075 0.0139 0.9564 0.9603 0.0849 0.9578
Modal 7 0.159 0.0114 0.021 0.9678 0.9813 0.0036 0.9614
Modal 8 0.154 0.0219 0.0065 0.9897 0.9878 0.0068 0.9682
Modal 9 0.135 4.215E-05 0.0021 0.9898 0.9899 0.0226 0.9908
Modal 10 0.13 0.0003 0.0088 0.99 0.9987 1.026E-05 0.9908
Modal 11 0.122 0.0099 0.0003 1 0.9989 0.0012 0.992
Modal 12 0.11 1.067E-05 0.0011 1 1 0.008 1
The first modal time period of the building is 0.768 sec. In total 12 modes
were considered and 90% mass participation was obtained for mode 5.
As per Cl. No. 7.11.1 of IS 1893 (part –1):2016, storey drift in any storey shall
not exceed 0.004 time the storey height, under the action of design base shear
Vb.
Linstati 0.00
Story3
Eqx c X 2 0.155 OK
Linstati 0.00
Story2
Eqx c X 2 0.212 OK
Linstati 0.00
Story1
Eqx c X 2 0.154 OK
Linstati
Base
Eqx c X 0 0.000 OK
As per IS 1893, the story drifts in any story due to specified design lateral force
with a partial load factor of 1.0, shall not exceed 0.004 times the story height.
As per is 1893; 2016 mass irregularity shall be considered to exist, when the
seismic weight (as per 7.7) of any floor is more than 150 percent of that of the
floors below.
R
REGULA
Story2 40221.454 23250.9221 R
REGULA
Story1 59346.503 28155.0178 R
Along Y-axis
As per 1893; 2016 a soft storey is considered to exist if the lateral stiffness is
less than 70% of that in the storey above or less than 80% of the average lateral
stiffness of the 3 storey above.
Store Allowable
Δmax Δmin (Δmax)/(Δmin)
y (Δmax)/(Δmin)
Story 19.15 16.94
1.131 1.5(OK)
4 9 7
Story 15.97 14.31
1.116 1.5(OK)
3 7 8
Story 11.24 10.10
1.112 1.5(OK)
2 3 7
Story
4.78 4.291 1.114 1.5(OK)
1
Base 0 0 1.5(OK)
Along Y-axis
Store
Δmax Δmin Δmax)/(Δmin) Allowable (Δmax)/(Δmin)
y
Story 25.36 21.23
1.195
4 5 1
Story 21.51 18.00
1.195 1.5(OK)
3 3 5
Story 14.79 12.32
1.200 1.5(OK)
2 3 3
Story 6.071 5.064 1.199 1.5(OK)
1
Base 0 0 0.000 1.5(OK)
The design of all structural elements is done using ‘Limit State Method’. All
relevant Limit State is considered in design to ensure adequate safety and
serviceability. The design includes design for durability, construction and use in
service should be considered as a whole. The realization of design objectives
requires compliance with clearly defined standards for materials, production,
workmanship, and also maintenance and use of structure in service.
This section includes all the design process of sample calculation for a single
element as column, beam, slab and foundation.
The design of column section can be made either by working stress method or by
the limit state method. The working stress method of design of column is based
on the behavior of the structure at working load ensuring that the stress in
concrete and steel do not exceed their allowance values.
It is assumed to possess adequate safety against collapse. The limit state
method of design of column is based on the behavior of the structure at collapse
ensuring adequate margin safety. The serviceability limits of deflections and
cracks are assumed to be satisfied as the column being primarily a compression
member has very small deflections and cracks.
Section Properties
Cover (Torsion)
b (mm) h (mm) dc (mm)
(mm)
356 356 56 30
Material Properties
Lt.Wt Factor
Ec (MPa) fck (MPa) fy (MPa) fys (MPa)
(Unitless)
25000 25 1 413.69 413.69
Section Ma
Consider Length KL/Depth KL/Depth KL/Depth
Depth Moment (kN-
Ma Factor Ratio Limit Exceeded
(mm) m)
Minor Bending
Yes 0.877 356 4.908 12 No 0
(M2 )
Notes:
1) Material Properties:
Grade of concrete used (fck) = M25
Grade of steel used (fᵧ) = Fe500
2) Member properties
Length of the column = 3.05 m
Depth of beam = 355 mm
Effective length factor (Kx) = 0.85
Effective length factor (Ky) = 0.85
Unsupported length of the column = 2.95 m
Effective length of the column (Lex) = 2.59 m
Effective length of the column (Ley) = 2.59 m
Width of column (Dx) = 355 mm
Depth of column (Dy) = 355 mm
Clear cover = 40 mm
Confinement rebar = 10 mm
Effective Cover = 60 mm
3) Load Data
Axial load of column (Pa) = 167.00 KN
Moment about X-axis
Mx,1 = 62.00 KN-m
Mx,2 = 4.00 KN-m
Moment about Y-axis
My,1 = 46.00 KN-m
My,2 = 15.00 KN-m
4) Flexural design of column
Slenderness check
< 12 , Design as short
lex/Dx = 6.27 column
< 12 , Design as short
ley/Dy = 6.27 column
Minimum Eccentricities:
ex,min = 20 mm > 20 mm
ey,min = 20 mm > 20 mm
Moment due to Eccentricities
Muxe = 4.0 KN-m = Pu x ey
Muye = 4.0 KN-m = Pu x ex
Hence, design moment Mux = 46.00 KN-m
Muy = 15.00 KN-m
For bi-axially loaded column,
Assume percentage of steel (pt) = 0.9 %
Gross area (Ag) = 1040.00 mm²
Moment carrying capacity of column
(Mux,y),
Along X-axis
d'/D = 0.10
Pt/fck = 0.16
Pᵤ/fckbD = 0.19
Mᵤ/fckbD² = 0.22 From graph of SP16,
Mux1 = 352.00 KN-m
Along Y-axis
d'/D = 0.10
Pt/fck = 0.16
Pᵤ/fckbD = 0.19
Mᵤ/fckb²D = 0.22 From graph of SP16,
Muy1 = 352.00 KN-m
Check for interaction formula
Axial Load Carrying capacity of
= 855.80 KN =0.45f𝒸ₖA𝒸+0.75fᵧAₛₜ
Column (Puz)
Pu/Puz = 0.18
Mu/Mux1 = 0.83
Mu/Muy1 = 0.13
α = 0.98
Since, α < 1, so take α = 1.
(Mᵤ/Mᵤₓ₁)ᵃ + (Mᵤ/Mᵤᵧ₁)ᵃ = 0.96 ≤1
OK
Area of steel required (Aₛₜ) = 1080.00 mm²
No. of Φ20 mm bars = 0 nos.
No. of Φ16 mm bars = 4 nos.
No. of Φ12 mm bars = 4 nos.
Max bar size provided (Φ) = 16 mm
Provide 4-16Φ-4-12Φ bar as longitudinal reinforcement.
Area of steel provided (Aₛₜ) = 1256.63 mm²
should be within range 0.8
Percentage of steel provided (p%) = 1% - 6%
OK
OK
Beams are designed for the worst conditions. So, the maximum values
from the combination have been used for the design .
Section Properties
b (mm) h (mm) bf (mm) ds (mm) dct (mm) dcb (mm)
305 375 305 0 25 25
Material Properties
Lt.Wt Factor
Ec (MPa) fck (MPa) fy (MPa) fys (MPa)
(Unitless)
25000 25 1 413.69 413.69
The maximum deflection in beam is 3.515 mm which is less than the allowable
deflection.
Summary
Grade of concrete = 25 Grade of steel = 500 MPa
MPa (TMT)
Provide 150 mm thick slab with Ø8 mm rebar @ 150 mm c/c & Ø8 mm distribution
rebar @ 150 mm c/c bar
Design Summary
COLUMN DETAIL
Grade of concrete = M25
Grade of rebar = Fe500
Max./Min
S. Typ Section From Base to From 3.05m to From 6.1 m
Node percentag Lateral Ties
N. e Size 3.05 m 6.1 m to All above
e rebar
A1,A2,A3,B1,
4 – Φ16 + 4 – 4 – Φ16 + 4 – 0.8% & Φ10 @ 100/150 mm
1 C1 14" X 14" B2,B3,C1,C2, 4 – Φ16 + 4 – Φ12
Φ12 Φ12 1.11% c/c
C3,D1,D2
4 – Φ16 + 4 – 0.8% & Φ10 @ 100/150 mm
2 C2 14" X 14" D3 8 – Φ16 4 – Φ16 + 4 – Φ12
Φ12 1.27% c/c
BEAM DETAIL
Grade of concrete = M25
Grade of rebar = Fe500
S.N Section Laye
Type Floor Level Longitudinal Reinforcement Lateral Ties
. Size r
Through
Extra Bar Extra Bar
Bar
Top - 2-Φ12 -
2L-Φ8 @ 100/150 mm
1 TIE BEAM - 10" X 10" Botto
- 2-Φ12 - c/c
m
Top 2-Φ12
Plinth 2L-Φ8 @ 100/150 mm
2 +-0 10” x 15” Botto 2-Φ12
Beam - - c/c
m
Top - 3-Φ16 -
Floor 2L-Φ8 @ 100/150 mm
3 +3.05 12” x 15” Botto 2-Φ16
Beam - - c/c
m
Floor , Top - 3-Φ12 - 2L-Φ8 @ 100/150 mm
4 12” x 15”
Beam +6.1,+9.15,+12 Botto - 3-Φ12 - c/c
School Building P A G E | 66
STRUCTURAL ANALYSIS REPORT
m
.2
FOOTING DETAIL
Grade of concrete = M20
Grade of rebar = Fe500
Length X Overall
Type Nodes Breadth Depth Reinforcement Remarks
(mm x mm) (mm)
School Building P A G E | 67
STRUCTURAL ANALYSIS REPORT
School Building P A G E | 68
STRUCTURAL ANALYSIS REPORT
Conclusion on overall, the design has covered all its objectives. The best
possible efforts have been made to produce an appropriate design. Yet, the
designers do not guarantee the perfectionism of the successively constructed
structures. Design and construction of the structure are inter – related jobs. A
structure behaves in a manner how it has been built rather than what the
intensions is during designing. A large percentage of structural failures are
attributed due to poor quality of construction. Therefore, quality assurance is
needed in both design and construction. Detailing of steel reinforcement is an
important aspect of structural design. Poor reinforcement detailing can lead to
structural failures. Detailing plays an important role in seismic resistant design.
In seismic resistant design, actual forces experienced by the structure are
reduced and reliance is placed on the ductility of the structure. And, ductility can
be achieved by proper detailing only. For instance, care should be taken while
detailing of corners of stairs such that the steel when pulled in tension doesn’t
tend to pull out the concrete over the reinforcement. Thus, in addition to design,
attention should be paid on the amount, location and arrangement of
reinforcement to achieve ductility as well as strength.
Last but not least, this design does not supersede the application of sound
engineering judgment, professional experience and skills, and established code
of practice and guidelines. It does not refrain from using more appropriate and
approved techniques and necessary modifications incurred therefrom. The
detailed design was carried out based on the data available wherever possible
and the assumptions referring to the codes and pieces of literature where the
investigation data is not available.
Nevertheless, it is not only a good design that is enough for good
construction, appropriate construction practice, quality control and strict
adherence to the design are equally important for completing construction work
soundly. Strict quality control and due consideration of the essence of detailed
design are recommended.
The analysis and design were carried out using state-of-the-art analysis tools and
procedures with a special emphasis on the effects due to earthquakes. Under the
ultimate limit state and serviceability limit state level of earthquakes as per IS
code, a linear response spectrum analysis was performed scaled to the static
linear method.
Based on the analysis of the results, the performance of the building was
assessed using several response indicators such as natural periods, mode
shapes, base shear, story drifts, lateral displacements, and deformation and
force capacities.
The following conclusions can be drawn from this analysis: