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SEISMIC EFFECTS ON
CHIMNEYS

Byju V
M3 Structural Engineering
Roll No. 3
INTRODUCTION
• Chimneys are slender structures
• Vulnerable to seismic excitation
• Calculate the structural response
• Corresponding shear forces and bending
moments

2
FACTOR AFFECTING MAGNITUDE AND
INTENSITY OF EARTHQUAKE
• Depth of focus
• Distance from epicentre
• Characteristics of the path of travel of seismic
waves
• Soil strata on which the structure stands

3
FACTOR AFFECTING STRUCTURAL
RESPONSE TO EARTHQUAKE
• Foundation
• Soil
• Material
• Form
• Size
• Mode of construction
• Duration and characteristics of ground motion

4
IS 1893 (PART 4) : 2005
(Industrial Structures Including Stack-like Structures)

Earthquake resistant design of industrial structures
including stack-like structures
Stack-like structures





Cooling towers and drilling towers
Transmission and communication towers
Chimneys and stack-like structures
Silos (including parabolic silos used for urea
storage)
 Support structures for refinery columns, boilers,
crushers etc.
 Pressure vessels and chemical reactor columns
5
ASSUMPTIONS
 No resonance (No time to build up resonant
response since the period and amplitude are
constantly changing)
 Earthquake does not occur simultaneously with
maximum wind, flood or sea wave
 Elastic modulus same as that for static analysis
unless more definite value is available

6
IS 1893 (PART 4) : 2005

Section I – Industrial structures (Clause 7 to 12)
Section II – Stack-like structures (Clause 12 to 18)

7
METHODS OF ANALYSIS

Response-spectrum method
Modal analysis technique
Time history response analysis

8
RESPONSE-SPECTRUM METHOD
•

9
RESPONSE-SPECTRUM METHOD
•

10
RESPONSE-SPECTRUM METHOD
•

11
NUMERICAL EXAMPLE
Consider 130 m tall RC cylindrical chimney like structure
of uniform cross section (A = 8.16m2, I = 87.9 m4) with
weight of 25 kN/m3 and E = 3.4X104 n/mm2. Evaluate the
base moment and shear under earthquake conditions. The
structure is located in seismic zone III and is supported on
raft foundation. Take damping factor as 5% and
importance factor as 2. Use both response-spectrum
method and modal analysis technique.

12
RESPONSE-SPECTRUM METHOD
H = 130 m
A = 8.16 m2
ρ = 25 kN/m3
W = 25 X 8.16 X 130 = 26.52 X 103 kN
I = 87.9 m4
Ec = 3.4 X 104 N/mm2
Zone III
Raft foundation
Damping factor (β) = 5 %
Importance factor (I) = 2
13
RESPONSE-SPECTRUM METHOD
•

14
RESPONSE-SPECTRUM METHOD
•

15
RESPONSE-SPECTRUM METHOD
•

16
MODAL ANALYSIS
1. Discretisation

M1= 270 t
26 m
M2= 609 t
32.5 m
M3= 744 t
39 m

M4= 744 t
32.5 m

17
MODAL ANALYSIS
•

Load at

Deflection at
1

2

3

4

1

0.3333

0.2347

0.1235

0.0286

2

0.2347

0.1707

0.0933

0.0224

3

0.1235

0.0933

0.0555

0.0146

4

0.0286

0.0224

0.0146

0.0052

18
MODAL ANALYSIS
Loa
d at

M

φ

φ

1

270

1.0

270.0 219.74

1.000 270.00

231.41

1.000 270.00

270.00

270.00

2

609

0.7

426.3 158.63

0.722 439.70

167.36

0.723 440.31

318.34

317.90

3

744

0.3

223.2

86.60

0.394 293.14

91.67

0.396 294.62

116.67

116.08

4

744

0.1

74.4

20.92

0.095

22.22

0.096

71.42

6.86

6.79

1076.3

711.87

710.77

Fi

φ

Fi

70.68

Mφ

Fφ

19
MODAL ANALYSIS

20
MODAL ANALYSIS
Second mode
Load
at

M

φ1

φa

Mφ1φa

1

270

1.000

1.0

270

0.2041

0.7959

214.89 4.651

1.000

2

609

0.723

0.1

44.03

0.1476

-0.0476

-28.99 -0.157

-0.0338

3

744

0.396

-0.5

-147.31

0.0808

-0.5808

-432.12 -3.621

-0.7785

4

744

0.096

-0.5

-21.43

0.0196

-0.3196

-237.78 -2.049

-0.4406

ψφ1

φ2

F=Mφ2

φ

145.29

21
MODAL ANALYSIS

22
TIME HISTORY RESPONSE ANALYSIS

Response of the structure evaluated by subjecting
the mathematical model to design earthquake for
each incremental time interval

23
IS 1893 (PART 4) : 2005
Special design considerations for RC stacks (Clause 18)
 Total vertical reinforcement not less than 25% of concrete
area
 2 layers of vertical reinforcement – outer layer not less than
50% of the reinforcement
 Total circumferential reinforcement not less than 0.2% of
concrete area
 2 layer of circumferential reinforcement – reinforcement on
each face not less than 0.1% concrete area at that section
 Circumferential reinforcement at 0.2 dia from top -twice
the normal reinforcement
 Extra reinforcement around openings
24
IS 1893 (PART 4) : 2005
•

25
Thank You

26

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Seismic effects on chimneys

  • 1. SEISMIC EFFECTS ON CHIMNEYS Byju V M3 Structural Engineering Roll No. 3
  • 2. INTRODUCTION • Chimneys are slender structures • Vulnerable to seismic excitation • Calculate the structural response • Corresponding shear forces and bending moments 2
  • 3. FACTOR AFFECTING MAGNITUDE AND INTENSITY OF EARTHQUAKE • Depth of focus • Distance from epicentre • Characteristics of the path of travel of seismic waves • Soil strata on which the structure stands 3
  • 4. FACTOR AFFECTING STRUCTURAL RESPONSE TO EARTHQUAKE • Foundation • Soil • Material • Form • Size • Mode of construction • Duration and characteristics of ground motion 4
  • 5. IS 1893 (PART 4) : 2005 (Industrial Structures Including Stack-like Structures) Earthquake resistant design of industrial structures including stack-like structures Stack-like structures     Cooling towers and drilling towers Transmission and communication towers Chimneys and stack-like structures Silos (including parabolic silos used for urea storage)  Support structures for refinery columns, boilers, crushers etc.  Pressure vessels and chemical reactor columns 5
  • 6. ASSUMPTIONS  No resonance (No time to build up resonant response since the period and amplitude are constantly changing)  Earthquake does not occur simultaneously with maximum wind, flood or sea wave  Elastic modulus same as that for static analysis unless more definite value is available 6
  • 7. IS 1893 (PART 4) : 2005 Section I – Industrial structures (Clause 7 to 12) Section II – Stack-like structures (Clause 12 to 18) 7
  • 8. METHODS OF ANALYSIS Response-spectrum method Modal analysis technique Time history response analysis 8
  • 12. NUMERICAL EXAMPLE Consider 130 m tall RC cylindrical chimney like structure of uniform cross section (A = 8.16m2, I = 87.9 m4) with weight of 25 kN/m3 and E = 3.4X104 n/mm2. Evaluate the base moment and shear under earthquake conditions. The structure is located in seismic zone III and is supported on raft foundation. Take damping factor as 5% and importance factor as 2. Use both response-spectrum method and modal analysis technique. 12
  • 13. RESPONSE-SPECTRUM METHOD H = 130 m A = 8.16 m2 ρ = 25 kN/m3 W = 25 X 8.16 X 130 = 26.52 X 103 kN I = 87.9 m4 Ec = 3.4 X 104 N/mm2 Zone III Raft foundation Damping factor (β) = 5 % Importance factor (I) = 2 13
  • 17. MODAL ANALYSIS 1. Discretisation M1= 270 t 26 m M2= 609 t 32.5 m M3= 744 t 39 m M4= 744 t 32.5 m 17
  • 18. MODAL ANALYSIS • Load at Deflection at 1 2 3 4 1 0.3333 0.2347 0.1235 0.0286 2 0.2347 0.1707 0.0933 0.0224 3 0.1235 0.0933 0.0555 0.0146 4 0.0286 0.0224 0.0146 0.0052 18
  • 19. MODAL ANALYSIS Loa d at M φ φ 1 270 1.0 270.0 219.74 1.000 270.00 231.41 1.000 270.00 270.00 270.00 2 609 0.7 426.3 158.63 0.722 439.70 167.36 0.723 440.31 318.34 317.90 3 744 0.3 223.2 86.60 0.394 293.14 91.67 0.396 294.62 116.67 116.08 4 744 0.1 74.4 20.92 0.095 22.22 0.096 71.42 6.86 6.79 1076.3 711.87 710.77 Fi φ Fi 70.68 Mφ Fφ 19
  • 21. MODAL ANALYSIS Second mode Load at M φ1 φa Mφ1φa 1 270 1.000 1.0 270 0.2041 0.7959 214.89 4.651 1.000 2 609 0.723 0.1 44.03 0.1476 -0.0476 -28.99 -0.157 -0.0338 3 744 0.396 -0.5 -147.31 0.0808 -0.5808 -432.12 -3.621 -0.7785 4 744 0.096 -0.5 -21.43 0.0196 -0.3196 -237.78 -2.049 -0.4406 ψφ1 φ2 F=Mφ2 φ 145.29 21
  • 23. TIME HISTORY RESPONSE ANALYSIS Response of the structure evaluated by subjecting the mathematical model to design earthquake for each incremental time interval 23
  • 24. IS 1893 (PART 4) : 2005 Special design considerations for RC stacks (Clause 18)  Total vertical reinforcement not less than 25% of concrete area  2 layers of vertical reinforcement – outer layer not less than 50% of the reinforcement  Total circumferential reinforcement not less than 0.2% of concrete area  2 layer of circumferential reinforcement – reinforcement on each face not less than 0.1% concrete area at that section  Circumferential reinforcement at 0.2 dia from top -twice the normal reinforcement  Extra reinforcement around openings 24
  • 25. IS 1893 (PART 4) : 2005 • 25