basic mekanik
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• VELOCITY AND ACCELERATION
• 3ORCE
• PRESSURE
• $ORK, PO$ER AND ENERGY
• MEC4ANICAL CONSTRUCTION
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Ve 56i!7 8 De9ini!i5n
AB
Car .
Car )
Ti:e '! ; + "e65nd"
Ti:e '! ; ) "e65nd"
Ti:e '! ; "e65nd"
Ti:e '! ; "e65nd"
Ve 56i!7 Car ) < Car .Ve 56i!7 Car ) ; Car .
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Velocity i" !=e ra!e 59 6=an>e 59 p5"i!i5n8 !=a! i" ,i! i" !=e 6=an>e in p5"i!i5n !=a! 566ur" durin> a>i%en !i:e&T=e uni! 59 %e 56i!7 in !=e SI "7"!e: i" !=e :e!reper "e65nd" ':?" &
V = Velocity [m/s]
S = Distance what body travell [m]
t = Time [s]
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A B
5 [m]
Pipe
Crude
E !mple
The crude oil moves in pipe form point A to point ! in " [seconds]!determine velocity of crude oil #
Answer $S = " [m]t = " [seconds]V = S/t = " m / " s = % [m/s]
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De9ini!i5n a@5u! a66e era!i5n
Acceler!tio" is the rate of chan&e of velocity$ that is! it isthe chan&e in velocity that occurs durin& a &iven time'
A B C
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T=e uni! 59 a66e era!i5n in !=e SI "7"!e: i" !=e :e!re per"e65nd" " uared ':?" ) &
a ; A66e era!i5n 59 a @5d7 :?" )V! ; 3ina Ve 56i!7 :?"V5 ; Ori>ina Ve 56i!7 :?"T ; Ti:e " &
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Example :
(f a body is movin& toward the ri&ht at the velocity of %) [m/s]! and *seconds later it is found to be movin& to the ri&ht at a velocity of +)[m/s]!,ind the Acceleration of a body-s .
Answer :
Vt = +) [m/s] ! Vo = %) [m/s ! t = * [seconds]
a = Vt 0 Vo1 /t
a = +) 0 %)1 / *
a = 2) / * = " [m/s 2]
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35r6e :a7 @e de9ined a" an7 a6!i5n 5n a @5d7 =i6=!end" !5 6=an>e i!" "i e 5r "=ape, i! i" "!a!e 59 re"!, 5r i!i" "!a!e 59 :5!i5n& In !=e SI "7"!e:, !=e uni! 59 95r6e i"6a ed !=e Ne !5n 'N &
3
3
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3elationship etween ,orce and Acceleration',or all cases $
35r6e '3 ; :a"" ': 0 a66e era!i5n 'a &
: ; T=e uan!i!7 59 :a!!er a @5d7 65n!ain" #>a ; A66e era!i5n 59 a @5d7 :?" )
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E !mple #
. & A :a"" 59 .((( #> i" !5 @e a66e era!ed a! .2:?") & $=a! 95r6e i" re uired F
)&T=e 95r6e pu a @5d7 , "=5 in> in pi6!ure ,@e 5 8,% = %) [4]
5) )
m = 2 [6&]
3ind T=e A66e era!i5n 59 B5d7
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Pre""ure i" de9ined a" 95r6e per uni! area and a6!" ina dire6!i5n n5r:a !5 5r a! ri>=! an> e !5 a "ur9a6e&
Pre""ure 'P ; 35r6e '3 Area 'A
3HD
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D
! P ; ')&!&3&E&S ?D• ! ; pipe a !=i6#ne"", in• P ; Pre""ure in pipe ':a0i:u: , p"i>• D ; Ou!"ide Dia:e!er , in• E ; L5n>i!udina J5in! 3a6!5!• S ; A 5 a@ e S!re"" in :a!eria , p"i
• 3 ; De"i>n 3a6!5r
ANSI?ASME B& .&/ Li uid pe!r5 eu: Tran"p5r!a!i5npipin> S7"!e:
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• De"i>n 3a6!5r '3
• 3 ; (,/ 8 Ba"ed 5n a6!ua 5pera!i5n 65ndi!i5n&• 3 ; (,1) 8 Spar"e 7 p5pu a!ed area", 9ar:, and, de"er!• 3 ; (,+ 8 3rin>e area" ar5und 6i!ie", !5 n and %i a>e"• 3 ; (,2 8 Re"eden!ia and indu"!ria area"&• 3 ; (, 8 Den"e area" i!= :u !i "!5r7 @u idin>,!ra99i6=ea%7&
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Car@5n S!ee pipe, @u!! $e ded pipeA2 , i!= @a"ed a6!ua 5pera!i5n!ran"9er 6rude 5i 9r5: re"er%5ir!an# !5 Re9iner7, 5pera!i5n!e:pera!ur +(( de> 3 and u"e pipeNPS / S6= (&De!er:ine :a0i:u: a 5 a@ epre""ure in pipeF
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$=a! "pe"i9i6a!i5n 59 pipe i @eu"e !5 !ran"9er 6rude 5i 9r5: !an#!5 an5!=er !an# i9 pipe NPS + S6= (Car@5n "!ee "ea: e"" pipe,5pera!i5n !e:p (( de> 3 '3ar:area , Ma0i:u: 5pera!i5npre""urre i" .((( p"i> F
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I9 a 95r6e i" app ied !5 a @5d7 and 6au"e" i! !5 :5%e!=r5u>= a di"!an6e, !=en 5r# i" d5ne& $5r# i" !=epr5du6! 59 !=e 95r6e app ied 'Ne !5n and !=e
di"!an6e :5%ed ':e!re"
$5r# d5ne ; 35r6e '3 0 Di"!an6e ':
3
S
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T=e uan!i!7 59 5r# =a" !5 d5 i!= a 95r6e 6au"in> adi"p a6e:en!& P5 er i" !=e ra!e 59 d5in> 5r# in>i%en!i:e& P5 er ; $5r# D5ne
Ti:e
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EXERCISE :
2.
STORAGE TANK
Sectio" Are! & $% [m$]
Flo* C!p!cityo+ Crude il' [m-()]
'% [m]
8ow lon& time-s need to,ill the tan6 full #
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PUSDIKLAT MIGAS
EXERCISE :
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2.
EXERCISE :V1 = 1 [m/s]V2 = 2 [m/s]
V3 = 2 [m/s]
V4 = 4 [m/s]
R 3.5 [cm] 7[cm]
8ow time need-s to crude oil move from point A to #
12[m]
A
B
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9:AD
;< ;
;ressure of >lynder #
;ower of pump needs#
9oad = %)) [4]
?D = 2 [cm]
t = %) [s]
HD
2 m
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20 in 20 in 80 in 30 in 40 in
pipe A pipe B pipe CX Y
Determine $a'Time need-s crude oil move from point @ to '
b'Specification pipe A! and >! >arbon Steel seamles pipe1
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Data $
a' ased on actual operation
b'>rude oil temperatur ")) de& ,'
c'Bapacity +) m+/s
d';ipe A 4;S 5 Sch *)! ;ipe 4;S C Sch *)! ;ipe > 4;S * Sch *)
e';ressure in pipe A $ %)CC psi&
f';ressure in pipe $ 5" psi&
&';ressure in pipe > $ %C2) psi&
h'>arbon steel pipe seamless'