A rigid block resting on an elastic foundation is idealized and converted into a 2-body mass-spring system for dynamic analysis
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DESIGN OF MAIN PLANT BUILDING
2x15 MW
DESIGN OF ID FAN FOUNDATION
INDO-RAMA CPS
INDURE I
II
III
3
4
IV
V
Design of Block Foundation for ID Fan Grade of concrete Operating speed of engine
M
Horizontal unbalance force in the dir'n of piston Weight of machine part 2 weight of machine part 3 weight of machine part 4 weight of machine part 5 weight of machine part 6 Height of unbalanced force acts above the top of foundation block2, 3 , 5 & 6 Length of raft Width of Raft Thickness of raft Thickness of block 2, 3, 5 & 6 above raft Thickness of block 4 above raft Total height from axis of FD Fan to the bottom of raft Bearing capacity of soil co-effcient of elastic elastic uniform compression co-effcient of elastic nonuniform nonuniform compr'n
Px 0.62 0.34 0.65 0.34 0.37 0.25 0
0.87 1.82 2.8 3.79 4.49 0.35 0
=0.5+3.37+0.55 = Cz Cu
5
0.32 t 1.7 t 4.05 t 0t 3.2 t 0.85 t 0.55 m 5.21 m 3.25 m 0.5 m 3.37 m 1.2 m 4.42 m 10 t/m^2 10570 t/m3
Part B
C 3
III
III 2
Part E
II
4
II
Part A I
6 1
18300 t/m3
Ct
co-effcient of elastic uniform shear Density of concrete Fatigue Factor
25 980 rpm
D
5285 t/m3 2.5 t/m3 3
(0,0)
Computation for Centre of Gravity and Mass Moments of Inertia.
elements of system marked in
Dimension of elements weight
lxi(m) Machine foundation part A Part B Part C Part D Part E Part no. 1 2
Co-ordina Co-ordinates tes of the centre centre of gravity gravity of part I of the foundatio foundation n referred referred to common common centre centre of gravity gravity of machine machine foundati foundation on as origin origin co-o co-ord rdin inat ates es of same same poin pointt ref reffe fere red d to to cen centr tre e of of rot rotat atio ion n as as ori origi gin. n. = =
DYNAMIC LOAD Dynamic Loads acting on Foundation in long. Dir'n area) Exciting moment Largest ordinate of varying load
=
2.93 t 1.16 tm
= =
2.47 tm 0.55 t/m
0.37 = =
3x0.823998 2.472x6/5.21^2
0.55
0.17 0.25 0.04
b)
c)
Dynamic moment Largest ordinate of varying load
= =
2.103 2.103x6/5.21^2
Dynamic moment due to dynamic load Moment at section 1-1 0.87 Moment at section 2-2 1.82 Moment at section 3-3 2.8 =2x0.565*1.8575= Moment at section 4-4 3.79 =2x0.565*0.8725= Moment at section 5-5 4.49 =2x0.565x(2.5625+0.0825) =
Total Dynamic Moment in Longitudinal Dir'n Moment at section 1-1 Moment at section 2-2 Moment at section 3-3 Moment at section 4-4 Moment at section 5-5
Dia of bar Mu/bd2 Pt. Min pt. As t No. of bars Spacing
= = = = = =
1.5x1.742*10^6*9.81/(3.25x1000x417^2)
= = = = = = =
12 mm 0.05 0.17 0.12 1950 mm2 18 180.56
In Longitudinal Dir'n Dia of bar
Bottom
Top
In Transverse Dir'n
=
0.25x3.25x1000x500/100
0.171x5285x1000x/100
16 mm
Provide thickness of base raft= d=500-75-16/2=
0.08 tm -0.22 tm -0.91 -0.91 tm
500 mm 417 mm
Dia of bar
=
Mu/bd2 Pt. Min pt.
= = =
1.5x6.489*10^7/(5.21x1000x417^2)
= = =
Ast No. of bars Spacing
= = =
0.25x5.21x1000x500/100
= = =
16 mm 0.11 0.12 0.25 6512.5 mm2 33 157.88
R/F in Foundation Block Block 2 & 3
Foundation Block 4 12.57 m3 502.97 Kg
Volume of fdn block R/F in Foundation Block
= =
Peripherail area of block R/F per area
= =
R/F in term of area Dia. of bars
= =
Area of R/F in One direction no. of bars Spacing
= = =
2.8 cm2 2.48 403.42 mm
= =
10.49 m3 419.57 Kg
Peripherail area of block
=
29.97 m2
R/F per area
=
14 Kg/m2
R/F in term of area Dia. of bars
= =
5.29 cm2/m2 12 mm
Area of R/F in One direction no. of bars Spacing
= = =
33.93 m2 14.83 Kg/m2 5.6 cm2/m2 12 mm
Block 5 & 6 Volume of fdn block R/F in Foundation Block
2.65 cm2 2.34 427.24 mm
Volume of fdn block R/F in Foundation Block
5.05 m3 202.04 Kg
Peripherail area of block R/F per area
15.12 m2 13.37 Kg/m2
R/F in term of area Dia. of bars
14.19 cm2/m2 12 mm
Area of R/F in One direction no. of bars Spacing
7.09 cm2 6.28 159.35 mm
DESIGN OF MAIN PLANT BUILDING
2x15 MW
DESIGN OF FD FAN FOUNDATION
INDO-RAMA CPS
INDURE
I
II
Design of Block Foundation for FD Fan Grade of concrete Operating speed of engine Horizontal unbalance force in the dir'n of piston Weight of machine part 2 weight of machine part 3 weight of machine part 4 Height of unbalanced force acts above the top of foundation block 3 & 4 Length of raft Width of Raft Thickness of raft Thickness of block 2 & 4 above raft Thickness of block 3 above raft Total height from axis of FD Fan to the bottom of raft Bearing capacity of soil co-effcient of elastic uniform compression
M Px 1.05 0.88 0.43 0.5 0.3
1.55 3.27 4.63 0.5 0.3
=0.5+2.5+0.6 = Cz Cu
co-effcient of elastic nonuniform compr'n
25 1480 rpm 0.26 t 3.6 t 4.9 t 1.2 t 0.6 m 5.55 m 3m 0.5 m 2.5 m 1.4 m 3.6 m 10 t/m^2 10570 t/m3
part b
3
III
III 2
part c
II
4
II
part a
1
18300 t/m3
Ct
co-effcient of elastic uniform shear Density of concrete Fatigue Factor
IV III
5285 t/m3 2.5 t/m3 3
(0,0)
Computation for Centre of Gravity and Mass Moments of Inertia.
elements of system marked in
Dimension of elements weight
lxi(m) Machine foundation part a part b part c Part no. 1 2 3 4
Co-ordinat Co-ordinates es of the centre of gravity gravity of part I of the foundatio foundation n referred referred to common common centre centre of gravity gravity of machine machine foundati foundation on as origin co-o co-ord rdin inat ates es of sam same poi point nt reff reffer ered ed to cent centre re of rota rotati tion on as orig origin in.. = =
DYNAMIC LOAD Dynamic Loads acting on Foundation in long. Dir'n area) Exciting moment Largest ordinate of varying load
=
2.03 t 0.33 tm
= =
1.7 tm 0.33 t/m
0.15 = =
3x0.565752 1.697x6/5.55^2
0.33
0.05 0.22 0.07
b)
Dynamic moment Largest ordinate of varying load
c)
Dynamic moment due to dynamic load Moment at section 1-1 1.55 =2x0.625x0.625+2x0.625x0.075= Moment at section 2-2 2.4 =2x0.625(1.475+0.925+0.45+0.050)= Moment at section 3-3 3.38 =2x0.625*(2.453+1.903+1.428+1.028)= Moment at section 4-4 4.63 =2x0. =2x0.625x(3 625x(3.705 .705+3.1 +3.155+2. 55+2.68+2 68+2.28)+ .28)+2x0. 2x0.4 4
Total Dynamic Moment in Longitudinal Dir'n Moment at section 1-1 Moment at section 2-2 Moment at section 3-3 Moment at section 4-4
g
w
1.55 2.4 3.38 4.63
= = = =
Dynamic Loads acting on Foundation in transvere dir'n area) Exciting moment Largest ordinate of varying load
= =
0.469 0.469x6/5.55^2
= =
0.33
0.47 tm 0.09 t/m 0.02 0.88 tm tm 1.62 tm tm 8.52 t m 14.97 14. 97 tm
Dia of bar Mu/bd2 Pt. Min pt. As t No. of bars Spacing
= = = = = =
1.5x8.530175*10^7/(5.55x1000x417^2)
= = = = = = =
16 mm 0.13 0.12 0.25 6937.5 mm2 35 158.57
0.22 tm -0.73 tm -3.08 -3.08 tm
Provide thickness of base raft= d=500-75-16/2=
In Longitudinal Dir'n Dia of bar
=
0.25x3x1000x500/100
16 mm
In Transverse Dir'n
R/F in Foundation Block Block 2 Volume of fdn block R/F in Foundation Block
0.25x5.55x1000x500/100
= =
7.35 m3 294 Kg
Peripherail area of block
=
2
R/F per area R/F in term of area Dia. of bars
= = =
Area of R/F in One direction no. of bars Spacing
= = =
20.44 m 14.38 Kg/m2 7.33 cm2/m2 12 mm 3.66 cm2 3.24 308.46 mm
Foundation Block 3 Volume of fdn block R/F in Foundation Block Peripherail area of block R/F per area R/F in term of area Dia. of bars Area of R/F in One direction no. of bars Spacing
5.9 m3 235.88 Kg 15.85 m2 14.89 Kg/m2 13.55 cm2/m2 12 mm 6.77 cm2 5.99 166.91 mm
500 mm 417 mm
Block 4 Volume of fdn block R/F in Foundation Block
= =
Peripherail area of block R/F per area
= =
R/F in term of area Dia. of bars
= =
Area of R/F in One direction no. of bars Spacing
= = =
2.98 m3 119 Kg 12.44 m2 9.57 Kg/m2 4.87 cm2/m2 10 mm 2.44 cm2 3.1 322.09 mm
DESIGN OF MAIN PLANT BUILDING
2x15 MW
DESIGN OF PA FAN FOUNDATION
INDO-RAMA CPS
INDURE
I
II
III
Design of Block Foundation for PA Fan Grade of concrete Operating speed of engine Horizontal unbalance force in the dir'n of piston Weight of machine part 2 weight of machine part 3 weight of machine part 4 Height of unbalanced force acts above the top of foundation block 3 & 4 Length of raft Width of Raft Thickness of raft Thickness of block 2 & 4 above raft Thickness of block 3 above raft Total height from axis of PA Fan to the bottom of raft Bearing capacity of soil co-effcient of elastic uniform compression co-effcient of elastic nonuniform compr'n
M Px 0.86 0.64 0.38 0.5
1.36 2.76 3.78 0.5
=0.5+2+0.5 = Cz Cu
part b
3
III
III 2
part c
II
4
II
part a
1
18300 t/m
3
Ct
co-effcient of elastic uniform shear Density of concrete Fatigue Factor
25 1480 rpm 0.19 t 1.6 t 1.8 t 0.6 t 0.5 m 4.6 m 1.93 m 0.5 m 2m 1.25 m 3m 10 t/m^2 10570 t/m3 5285 t/m3 2.5 t/m3 3
(0,0)
Computation for Centre of Gravity and Mass Moments of Inertia.
elements of system marked imension of elements weight in
lxi(m) lyi(m) Machine foundation part a part b part c Part no. 1 2 3 4
Mass of Foundation Moment caused by horizontal exciting force Operating frequency of machine Moment of Inertia of the Base Area Abt. The axis passing thru its centre of gravity & prependicular to the plane of vibration. Moment of Inertia of the Whole System Abt. The axis passing thru its centre of gravity & prependicular to the plane of vibration. Mass Moment of Inertia Ratio
Zi = (zi-zo) (m) -14.29 -14.29 -14.29 -11.54 -12.79
Intertial forces Vertical Horizontal t t 0 -0.067 0 -0.076 0 -0.025 0 -0.375 0.03 -0.389
<0.2mm O.K.
<10 t/m^2 O.K.
= =
(Fmz)1
4.85
=
0.42 tm 2.13 tm 2.12 tm
z0=--0.005/0.0004 = x0=-0/0.0004 = Inertial force
2.961 4.98
=
12.50 0 W1x(Mm)y x X w
g
tm tm tm
3 4
Where
Inertial Force (Fm)x Intertial Moment (Mm)y
xi & zi = Xi & Zi= Zi=
7.36 4.13
0.46 1.48
0.08 -0.29
0.46 1.48
-12.42 -12.79
0.01 0.02 0.06
-0.268 -0.155 -1.354
Co-ordina Co-ordinates tes of the centre centre of gravity gravity of part I of the foundatio foundation n referred referred to common common centre centre of gravity gravity of machine machine foundatio foundation n as origin co-o co-ord rdin inat ates es of of same same poin pointt reff reffer ered ed to cen centr tre e of rota rotati tion on as as orig origin in.. = =
DYNAMIC LOAD Dynamic Loads acting on Foundation in long. Dir'n area) Exciting moment = Largest ordinate of varying load =
=
1.35 t 0.22 tm
3x0.33652 1.01x6/4.6^2
= =
1.01 tm 0.29 t/m
0.343 0.343x6/4.6^2
0.12 0.29
-0.06 0.18
b)
Dynamic moment = Largest ordinate of varying load =
= =
0.34 tm 0.1 t/m
c)
Dynamic moment due to dynamic load Moment at section 1-1 1.36 =2x0.28x0.5625+2x0.28x0.1375= Moment at section 2-2 2.79 =2x0.28(1.985+1.56+1.16+0.76)= Moment at section 3-3 3.74 =2x0.28*(2.935+2.51+2.11+1.71)=
0.39 tm tm 3.06 tm tm 5.19 tm tm
0.06 0.04
0.29
0.1
-0.02
0.1 0.85t 0.85t
Total Dynamic Moment in Longitudinal Dir'n Moment at section 1-1 1.36 Moment at section 2-2 2.79 Moment at section 3-3 3.74
Dynamic Loads acting on Foundation in transvere dir'n area) Exciting moment = Largest ordinate of varying load =
-0.25 tm -2.95 tm tm -5.26 tm tm
1.13 3x0.33652 1.01x6/1.925^2
= =
1.01 tm 1.64 t/m
0.343x6/1.925^2
= =
0.34 0.56 t/m
1.64 0.02
0.91 1.64
b)
c)
Dynamic moment = Largest ordinate of varying load = Dynamic moment due to dynamic load Moment at section 1-1 0.3 = Moment at section 2-2 0.95 = Moment at section 3-3 1.5 =
0.38 0 0.51 1.76
0.56
0.01
0.31
0.56
Dynamic Moment in Transverse dir'n Moment at section 1-1 Moment at section 2-2 Moment at section 3-3