Pipe Vibration Calculations
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Transcript of Pipe Vibration Calculations
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Steam Pipe Line Defection
Description Symbol Unit Value
Design Pressure kg/cm2 g 42
Pipe Size NB 2 " sch 4
Pipe !D mm #$
Pipe %hickness mm $#&
Pipe 'D mm (2#()ross section area m2 #&$
Pipe *t kg/m (#(
+oment o, 'nertia m4 2#-.0
1ille *ater *t kg/m 2#2
'nsulation thcikness mm
'nsulation !D mm 3-#$
in 5elocity km/h $
m/s -#$6mbient %emp Deg ) $
Density o, air kg/m$ 3#2
in pressure Pa 4#4
*in loa kg/m #(3
%otal loa on pipe kg/m -#2
Case 1 - In between supports simply supported
Uni,romly istribute loa kg/m -#2N/m -#
span l m 2#(
+oment o, 'nertia ' m4 2#-.0
+oulus o, .lasticity . +pa 3-&
7eaction at supports N 3#-
+a8imum De9ection y mm 0.8
Case 2 -nd support !"ed and ne"t support simply supported
Uni,romly istribute loa kg/m -#2
N/m -#
span l m 2#(
+oment o, 'nertia ' m4 2#-.0
+oulus o, .lasticity . +pa 3-&
7eaction at simple support N ($0#(
7eaction at :8e support N $22#(
*a
76
*a
76
7B
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+a8imum De9ection y mm 0.#
Case # -nd support !"ed no supports in between
Uni,romly istribute loa kg/m -#2
N/m -#
span l m 2
+oment o, 'nertia ' m4 2#-.0
+oulus o, .lasticity . +pa 3-&
7eaction at :8e support N -#2
7eaction at :8e support N -#2
+a8imum De9ection y mm $%2.&
Steam Pipe 'ibration C(ec) ;6s per Section o, %.+6<
*undamental +atural *re,uency
Case 1 - In between supports simply supported
S' ,ps
Design pressure P Pa 4322
Pipe )ross section area #23$
Pipe stress taking area #&$
%ube longituinal stress Pa 32-&-
%ube longituinal 1orce 1 N -&32
Parameter = = $#34
+oulus o, .lasticity . +pa 3-& psi
+oment o, 'nertia o, %ube ' 2#-.0
%ube Span >ength l m 2#( inch
%ube >ongi# 1orce Parameter N -2(0
%ube 68ial stress multiplier 6 3#(.?ecti5e *eight o, tube kg/m -#2 lb/,t
)onstant as per en conition )
%ube natural ,re@uency
Support *ith mm 32 inch
Damping logarithmic ecrement
*a
76
7B
m2
m2
St
m4 inch4
1)7
*o
, n
tb
δ5
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)ommon Pipe Dimension %able ,rom 6S+. B $#3
Sr No Pipe >ine Sizes !D thk 'D ss Sect 6r
mm mm mm m2
3 3/2" sch 4 23#$ 2#00 3(#0 #2
2 $/4" sch 4 2#0 2#-0 2#& #$
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$ 3 " sch 4 $$#4 $#$- 2#4 #
4 3 3/4" sch 4 42#2 $#( $(#- #3
( 3 3/2" sch 4 4-#$ $#- 4#&4 #3$
2 " sch 4 #$ $#&3 (2#4- #22
0 2 3/2" sch 4 0$ (#3 2#- #$3
- $ " sch 4 --#& (#4& 00#&2 #4-
& $ 3/2" sch 4 33# (#04   #43 4 " sch 4 334#$ #2 32#2 #-2
33 ( " sch 4 343#$ #(( 32-#2 #32&
32 " sch 4 3-#$ 0#33 3(4#- #3-
3$ - " sch 4 23 -#3- 22#04 #$2$
34 3 " sch 4 20$ 2(4#4 #(&
3( 32" sch 4 $2$#- 3#$3 $$#3- #022
3 34" sch 4 $((# 33#3$ $$$#$4 #-0$
30 3" sch 4 4#4 32#0 $-3 #334
3- 3-" sch 4 4(0 34#20 42-#4 #3442
3& 2" sch 4 (- 3(#& 400#-2 #30&$2 22" sch 2 ((& ($ ($&4 #22&
23 24" sch 2 3 ($ (&#&4 #204$
22 2" sch 2 32#0 $4# #$3$
2$ 2-" sch 2 033 32#0 -(# #$&2
24 $" sch 2 02 32#0 0$# #423
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2#0.A0
#4
&-#4
3#((#(
&
23#2
#40
#22
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Sr No
3
2
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$
4
(
0
-
&3
33
32
3$
34
3(
3
30
3-
3&2
23
22
2$
24
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