AIM:- To compare:-
a) Factors influencing the natural period of buildings for different buildings
b) Compare fundamental natural periods of buildings E & F as well as G & H
c) Compare fundamental natural periods of buildings H, J and K. Have the buildings become more flexible or stiff due to changes in mass
d) Fundamentally natural period of buildings A, B, F, and H change with change in building height
e) Fundamental natural period of buildings B, Cand D with change in column orientation



INTRODUCTION: Natural periods of buildings greatly affect the overall performance of buildings. To study this we are going to illustrate various types of buildings to study their dynamic characteristics of buildings by changing their column orientation, mass, and building height with the help of computational advanced analysis software ETABS.
PROCEDURE:
1. Building A
- Open ETABS software
- Open a new building model
- Create a building model









- Select add new properties

- Specify the frame section property
- Define beam size as depth 400 mm and width 300 mm
- Select M30
- Select design type as M3
- Select longitudinal bars and confinement bars as HYSD 415

- Define column size as depth 400 mm and width 400 mm
- Select M30

- Select design type as P-M2-M3
- Select longitudinal bars and confinement bars as HYSD 415

- Delete multiple selected frame properties



- Select add a new property
- Define property name as S1 (150)
- Select modeling type as membrane
- Specify the thickness of the slab as 150 mm


- Draw the columns, slabs, and beams by using quick properties tools







- Assign support specifications as pinned one

- Go to Define load patterns
- Assign add new load as dead load, live load, wall loads, and earthquake loads acting in x and y direction

- Select modify lateral load for EQ(x) and EQ(y)



- Define mass source data
- Define dead load as 100 percent, live load as 25 percent, and wall load as 100 percent according to IS code 1893: 2016 as per clause no 6.4.3.1

- Define load combinations as concrete frame design


- Assign the loads as wall loads for beams and live loads for slabs



- Select diaphragm assignment


- Now the model has been checked


2. Building B
- Open ETABS software
- Open a new building model
- Create a building model


- Define material properties






- Select from property type as rectangular

- Define column design type as P-M2-M3
- Define the column type dimension as 400 mm width and 400 mm depth
- Select longitudinal bars and confinement bars as HYSD 415

- Define the beam dimension as 400 mm depth and width of 300 mm
- Define beam design type as M3

- Delete multiple selected frame properties


- Define slab property
- Define slab material as M30
- Define modeling type as membrane
- Specify the thickness of the slab as 150 mm

- Draw the columns, slabs, and beams by using quick properties tools





- Assign support specifications as pinned one

- Go to Define load pattern
- Assign dead load, live load, wall loads, and earthquake loads to act in x and y direction

- Click on modify lateral load to define its load pattern for earthquake load acting in x and y direction




- Select concrete frame design



- Assign the loads as wall loads for beams and live loads for slabs



- Select diaphragm assignment


- Check the model
- Select all frame assignments

- Now the model has been checked

Run Analysis

3. Building C
- Open ETABS software
- Open a new building model
- Create a building model

- Add the existing story height to 2 from the existing story level


- Define material properties

- Add new material as M30 for concrete and HYSD 415 for rebar


- Define frame section property for beams and columns
- Specify the depth and width of the beam as 400 mm and 300 mm

- Select beam design type as M3
- Select longitudinal and confinement bars as HYSD 415

- Specify the depth and width of the column as 550 mm and 300 mm

- Define slab property
- Specify slab material as M30
- Define modeling type as membrane
- Specify the thickness of the slab as 150 mm

- Draw the columns, slabs, and beams by using quick properties tools



- Assign support specifications as pinned one

- Go to Define load pattern
- Assign dead load, live load, wall loads, and earthquake loads to act in x and y direction

- Click on modify lateral load to define its load pattern for earthquake load acting in x and y direction







- Assign the loads as wall loads for beams and live loads for slabs




- Check the model
- Select all frame assignments

- Now the model has been checked


4. Building D
- Open ETABS software
- Open a new building model
- Create a building model

- Add the existing story height to 2 from the existing story level


- Define material properties

- Add new material as M30 for concrete and HYSD 415 for rebar


- Define frame section property for beams and columns
- Specify the depth and width of the beam as 400 mm and 300 mm

- Select beam design type as M3
- Select longitudinal and confinement bars as HYSD 415

- Specify the depth and width of the column as 550 mm and 300 mm

- Define slab property
- Specify slab material as M30
- Define modeling type as membrane
- Specify the thickness of the slab as 150 mm

- Draw the columns, slabs, and beams by using quick properties tools



- Assign support specifications as pinned one

- Go to Define load pattern
- Assign dead load, live load, wall loads, and earthquake loads to act in x and y direction

- Click on modify lateral load to define its load pattern for earthquake load acting in x and y direction







- Change the orientation of the local axis
- Rotate by angle 90 degree



- Now the model has been checked


5. Building E
- Open ETABS software
- Open a new building model
- Create a building model


- Define material properties




- Select frame properties
- Select add new properties

- Select the section type as rectangular one
- Specify the depth and width of the beam as 400 mm and 300 mm
- Select the design type as M3 type only
- Specify the longitudinal and confinement bars as HYSD 415


- Again specify the depth and width of the column as 600 mm for the bottom 5 storeys


- Again specify the depth and width of the column as 400 mm for the upper 5 storeys


- Select and delete the multiple frame properties

- Define slab property
- Select slab material as M30
- Specify the thickness of the slab as 150 mm
- Select modeling type as membrane one

- Using quick property tools to draw the columns (600*600) at specified grid lines for the bottom 5 storeys

- Similarly using quick property tools to draw the columns (400*400) at specified grid lines for the upper 5 storeys
- Using quick property tools to draw the beams (400*300) for all storeys.


- Using quick property tools to draw the slabs for all selected levels

- Assign support specifications as pinned one

- Go to Define load pattern
- Assign dead load, live load, wall loads, and earthquake loads to act in x and y direction

- Click on modify lateral load to define its load pattern for earthquake load acting in x and y direction




- Select concrete frame design

- Assign the loads as wall loads for beams and live loads for slabs





- Now the model has been checked


6. Building F
- Open ETABS software
- Open a new building model
- Create a building model


- Define material properties




- Select frame properties
- Select add new properties

- Select the section type as rectangular one
- Specify the depth and width of the beam as 400 mm and 300 mm
- Select the design type as M3 type only
- Specify the longitudinal and confinement bars as HYSD 415


- Again specify the depth and width of the column as 600 mm for all storeya


- Select and delete the multiple frame properties

- Define slab property
- Select slab material as M30
- Specify the thickness of the slab as 150 mm
- Select modeling type as membrane one

- Using quick property tools to draw the columns (600*600) at specified grid lines for all storeys
- Using quick property tools to draw the beams (400*300) for all storeys.


- Using quick property tools to draw the slabs for all selected levels

- Assign support specifications as pinned one

- Go to Define load pattern
- Assign dead load, live load, wall loads, and earthquake loads to act in x and y direction

- Click on modify lateral load to define its load pattern for earthquake load acting in x and y direction




- Select concrete frame design

- Define mass sources




- Assign the loads as wall loads for beams and live loads for slabs





- Now the model has been checked


7. Building F
- Open ETABS software
- Open a new building model
- Create a building model


- Define material properties




- Select frame properties
- Select add new properties

- Select the section type as rectangular one
- Specify the depth and width of the beam as 400 mm and 300 mm
- Select the design type as M3 type only
- Specify the longitudinal and confinement bars as HYSD 415


- Again specify the depth and width of the column as 400 mm for upper 5 storeys


- Again specify the depth and width of the column as 600 mm for middle 10 storeys


- Again specify the depth and width of the column as 800 mm for the bottom 10 storeys


- Define slab property
- Select slab material as M30
- Specify the thickness of the slab as 150 mm
- Select modeling type as membrane one

- Using quick property tools to draw the columns for similar storeys
- Using quick property tools to draw the beams (400*300) for all storeys.
- Using quick property tools to draw the slabs for all selected levels


- Assign support specifications as pinned one

- Go to Define load pattern
- Assign dead load, live load, wall loads, and earthquake loads to act in x and y direction

- Click on modify lateral load to define its load pattern for earthquake load acting in x and y direction




- Select concrete frame design

- Define mass sources




- Assign the loads as wall loads for beams and live loads for slabs



- Now the model has been checked


8.
- Open ETABS software
- Open a new building model
- Create a building model


- Define material properties




- Select frame properties
- Select add new properties

- Select the section type as rectangular one
- Specify the depth and width of the beam as 400 mm and 300 mm
- Select the design type as M3 type only
- Specify the longitudinal and confinement bars as HYSD 415


- Again specify the depth and width of the column as 800 mm for all 25 storeys



- Define slab property
- Select slab material as M30
- Specify the thickness of the slab as 150 mm
- Select modeling type as membrane one

- Using quick property tools to draw the columns (800*800) for all storeys
- Using quick property tools to draw the beams (400*300) for all storeys.
- Using quick property tools to draw the slabs for all selected levels



- Assign support specifications as pinned one

- Go to Define load pattern
- Assign dead load, live load, wall loads, and earthquake loads to act in x and y direction

- Click on modify lateral load to define its load pattern for earthquake load acting in x and y direction




- Select concrete frame design

Define mass sources


- Define diaphragm assignmenet


- Assign the loads as wall loads for beams and live loads for slabs



- Now the model has been checked

9.
- Open ETABS software
- Open a new building model
- Create a building model

- Define material properties




- Select frame properties
- Select add new properties

- Select the section type as rectangular one
- Specify the depth and width of the beam as 400 mm and 300 mm
- Select the design type as M3 type only
- Specify the longitudinal and confinement bars as HYSD 415


- Again specify the depth and width of the column as 800 mm for all 25 storeys



- Define slab property
- Select slab material as M30
- Specify the thickness of the slab as 150 mm
- Select modeling type as membrane one

- Using quick property tools to draw the columns (800*800) for all storeys
- Using quick property tools to draw the beams (400*300) for all storeys.
- Using quick property tools to draw the slabs for all selected levels



- Assign support specifications as pinned one

- Go to Define load pattern
- Assign dead load, live load, wall loads, and earthquake loads to act in x and y direction

- Click on modify lateral load to define its load pattern for earthquake load acting in x and y direction




- Select concrete frame design


- In case of mass source take the live load as 0.50

- Define diaphragm assignmenet


- Assign the loads as wall loads for beams and live loads for slabs

- Add 10% of the imposed load


- Now the model has been checked


10.
- Open ETABS software
- Open a new building model
- Create a building model

- Define material properties




- Select frame properties
- Select add new properties

- Select the section type as rectangular one
- Specify the depth and width of the beam as 400 mm and 300 mm
- Select the design type as M3 type only
- Specify the longitudinal and confinement bars as HYSD 415


- Again specify the depth and width of the column as 800 mm for all 25 storeys



- Define slab property
- Select slab material as M30
- Specify the thickness of the slab as 150 mm
- Select modeling type as membrane one

- Using quick property tools to draw the columns (800*800) for all storeys
- Using quick property tools to draw the beams (400*300) for all storeys.
- Using quick property tools to draw the slabs for all selected levels



- Assign support specifications as pinned one

- Go to Define load pattern
- Assign dead load, live load, wall loads, and earthquake loads to act in x and y direction

- Click on modify lateral load to define its load pattern for earthquake load acting in x and y direction




- Select concrete frame design

Define mass sources

- In case of mass source take the live load as 0.50

- Define diaphragm assignmenet


- Assign the loads as wall loads for beams and live loads for slabs

- Add 20% of the imposed load


- Now the model has been checked


RESULT:
1. Model response for Building A



2. Model response for Building B



3. Model response for building C


4. Model response for building D


5. Model response for Building E


6. Model response for Building F


7. Model response for building G


8. Model response for building H


9. Building response for building J


10. Model response for building K


a) Effect of stiffness on building E and F as well as G and H
Building E
Building F

As we have seen in the figure, there is a change in the natural frequency due to nonuniformity
FThe fundamentalnatural period of building E = 1.731 s
The fundamental natural period of building F = 1.735 s
Building G

Building H

Fundamental natural period of building G = 3.439 s
The fundamental natural period of building H = 4.416 s
Building G reduces its natural frequencies due to the uneven distribution of column sizes from base to bottom which is not ihe case with Building H
b) Effect of mass on buildings H,J and K
Building H

Building J

Building K

Fundamental natural period of building H = 4.416 s
Fundamental natural period of building J = 4.529 s
The fundamentalatural period of building K = 4.548 s
From the above results ,it has been concluded that the fundamental natural period increases with the overall mass of the building i.e. increase the live load of the building
c) Effect of building height on A,B, F and H
Building A

Height of the building A = 7.5 m
Fundamental natural period of the building = 0.448 s
Building B

Height of the building B = 16.5 m
Fundamental natural period of the building = 0.971 s
Building F

Height of the building F = 31.5 m
Fundamental natural period of the building = 1.735 s
Building H

Height of the building H = 76.5 m
Fundamental natural period of the building = 4.416 s
As we can see from above analysis and results it has been found that natural period of the building increases with the increase in height of the building
d) Effect of column orientation on buildings B,C and D
Building B


Since the moment of inertia of section remains the same so their won't be any change in fundamental natuarl period of the building
Building C




Building D




From the above results it has been concluded that the natural period of the building decrease as soon as we change in the column orientation because of the change of the neutral axis of the cross section of the column.
f) Effect of Flexural Stiffness of Structural Elements on mode shapes
Building B




Fundamental natural frequencies of beams for 100 percentage of flexural stiffness = 0.971 s
Fundamental natural frequencies of beams for 10 percentage of flexural stiffness = 2.462 s
g) Effect of Axial Stiffness of Vertical Members on mode shapes
Building H



Fundamental natural frequencies of columns for 100 percentage of axial stiffness = 4.418 s
Fundamental natural frequencies of beams for 10 percentage of axial stiffness = 5.991 s
g) Effect of Degree of Fixity at column bases on mode shapefor building B
Building B




Fundamental frequency of building B when it is pinned = 0.971 s
Fundamental frequency of building B when it is fixed = 0.882 s
RESULTS: All the results of comparative studies of different building storeys have been illustrated properly.