home *** CD-ROM | disk | FTP | other *** search
- .MCD 25000 0
- .CMD SURFACEFORMAT rot=10 tilt=35 vScale=20 size=15,30 hide=n
- .CMD SKETCHFORMAT mag=1.000000,1.000000 center=0.500000,0.500000 size=15,30 box=y
- .CMD PLOTFORMAT logs=0,0 subdivs=1,1 size=5,15 type=l
- .CMD FORMAT rd=d ct=10 im=i et=3 zt=15 pr=3 mass length time temp
- .CMD SET ORIGIN 0
- .CMD SET TOL 0.001000000000000
- .CMD MARGIN 0
- .CMD LINELENGTH 78
- .CMD SET PRNCOLWIDTH 8
- .CMD SET PRNPRECISION 4
- .TXT 0 41 1 39
- a1,38,61,37
- Copyright (c) 1990 by MathSoft, Inc.
- .TXT 1 -41 1 37
- a1,36,78,35
- HEAT-EXCHANGER TUBESHEET THICKNESS
- .TXT 2 0 1 72
- a1,71,78,70
- This document calculates the required thickness for fixed tubesheets.
- .TXT 2 0 2 78
- a2,77,78,90
- Enter the tubesheet geometry, material properties and design pressures and
- temperatures:
- .TXT 3 0 1 40
- a1,39,78,38
- exchanger size and type: 60 - 240 CEN
- .TXT 2 0 1 33
- a1,32,78,31
- tube material: SA - 249 - 316L
- .TXT 2 0 1 48
- a1,47,78,46
- shell and tubesheet materials: SA - 240 - 316
- .TXT 2 0 1 36
- a1,35,78,34
- Is that a CEN type? (0-no, 1-yes)
- .EQN 0 38 1 9
- ty:1
- .TXT 2 -38 3 34
- a3,33,78,80
- expansion joint factor
- 0 - bellowed expansion joints
- 1 - no expansion joint
- .EQN 0 38 1 9
- JF:1
- .TXT 4 -38 2 39
- a2,38,78,73
- tubesheet factor (TEMA F factor)
- 1 - simply supported, 0.8 - clamped
- .EQN 0 38 1 14
- Ffactor:1
- .TXT 3 19 1 20
- a1,19,30,18
- Press [Ctrl-PgDn]
- .EQN 2 -34 4 15
- Ps:650*lbf/in^2
- .TXT 1 -23 1 24
- a1,23,78,22
- shell design pressure
- .TXT 0 39 1 27
- a1,26,39,25
- shell design temperature
- .EQN 0 26 1 13
- ts:650*F
- .TXT 2 -26 1 24
- a1,23,78,22
- shell inside diameter
- .EQN 0 23 1 14
- dis:60*in
- .EQN 2 -40 4 14
- Pt:75*lbf/in^2
- .TXT 0 17 1 18
- a1,17,39,16
- shell thickness
- .EQN 0 19 1 14
- ▀s:1.5*in
- .TXT 1 -58 1 23
- a1,22,78,21
- tube design pressure
- .TXT 1 39 1 26
- a1,25,39,24
- tube design temperature
- .EQN 0 25 1 13
- tt:650*F
- .TXT 2 -25 1 14
- a1,13,39,12
- tube length
- .EQN 0 15 1 13
- l:240*in
- .TXT 1 -54 1 18
- a1,17,78,16
- number of tubes
- .EQN 0 18 1 12
- nt:3560
- .TXT 1 21 1 24
- a1,23,78,22
- tube outside diameter
- .EQN 0 23 1 16
- det:0.75*in
- .TXT 1 -62 1 13
- a1,12,39,11
- tube pitch
- .EQN 0 14 1 19
- pitch:0.938*in
- .TXT 1 25 1 17
- a1,16,78,15
- tube thickness
- .EQN 0 18 1 16
- ▀t:0.065*in
- .TXT 1 -57 3 18
- a3,17,39,40
- type of pitch
- 0-square
- 1-triangular
- .EQN 0 17 1 9
- tp:1
- .TXT 1 22 1 22
- a1,21,39,20
- tubesheet thickness
- .EQN 0 24 1 13
- ▀sh:2*in
- .TXT 2 -6 1 20
- a1,19,30,18
- Press [Ctrl-PgDn]
- .TXT 1 -57 1 34
- a1,33,38,32
- Poisson's ratio for solid plate
- .EQN 0 35 1 11
- PR:0.3
- .EQN 3 -6 4 15
- σ:9100*lbf/in^2
- .TXT 1 -29 1 29
- a1,28,78,27
- allowable tubesheet stress
- .EQN 0 100 2 26
- jf:if(JF≈0,10^-20,1)
- .TXT 4 -100 1 41
- a1,40,78,39
- edge moment under operating conditions
- .EQN 0 42 1 22
- M1:1030000*lbf*in
- .EQN 0 58 1 19
- des:dis+2*▀s
- .EQN 0 23 1 19
- dit:det-2*▀t
- .TXT 2 -123 1 39
- a1,38,78,37
- edge moment under bolt-up conditions
- .EQN 0 42 1 21
- M2:690000*lbf*in
- .EQN 0 58 4 22
- fs':1-nt*(det/dis)^2
- .EQN 0 29 4 22
- ft':1-nt*(dit/dis)^2
- .EQN 2 -87 4 20
- Et:27.5*10^6*lbf/in^2
- .TXT 1 -42 1 41
- a1,40,78,39
- modulus of elasticity of tube material
- .EQN 1 81 5 26
- abs:(6.2*M2)/(Ffactor^2*dis^3)*in^2/lbf
- .EQN 0 32 5 26
- abt:(6.2*M1)/(Ffactor^2*dis^3)*in^2/lbf
- .EQN 3 -71 4 20
- Es:28.2*10^6*lbf/in^2
- .TXT 1 -42 1 42
- a1,41,78,40
- modulus of elasticity of shell material
- .EQN 2 81 3 26
- k:(Es*▀s*(des-▀s))/(Et*▀t*nt*(det-▀t))
- .EQN 0 31 1 12
- αo:jf*k
- .EQN 0 17 4 15
- Ps':Ps*in^2/lbf
- .EQN 0 31 4 15
- Pt':Pt*in^2/lbf
- .TXT 2 -160 1 46
- a1,45,78,44
- modulus of elasticity of tubesheet material
- .EQN 0 47 1 9
- E:Et
- .TXT 3 -47 1 30
- a1,29,78,28
- shell side wall temperature
- .EQN 0 31 1 14
- Tws:170*F
- .EQN 0 50 1 24
- A:4*(Ffactor-0.6)
- .EQN 0 33 1 26
- B:1.48-2.05*Ffactor
- .EQN 1 20 4 15
- Es':Es*in^2/lbf
- .TXT 1 -134 1 29
- a1,28,78,27
- tube side wall temperature
- .EQN 0 31 1 14
- Twt:170*F
- .EQN 0 50 1 18
- Θs:Tws-70*F
- .EQN 0 27 3 22
- D:(E*▀sh)/(12*(1-PR))*in/lbf
- .EQN 1 -65 2 20
- αs:6.3*10^-6*F^-1
- .TXT 1 -43 1 43
- a1,42,78,41
- shell side thermal expansion coefficient
- .EQN 0 81 1 18
- Θt:Twt-70*F
- .EQN 3 -38 2 20
- αt:9.5*10^-6*F^-1
- .EQN 0 38 3 35
- ad:(4*jf*Es'*▀s*(αs*Θs-αt*Θt))/(des-3*▀s)
- .EQN 0 38 1 36
- at:Pt'*(1+0.4*αo*(1.5+ft'))
- .TXT 1 -119 1 42
- a1,41,78,40
- tube side thermal expansion coefficient
- .EQN 3 81 5 71
- as:Ps'*(0.4*jf*(1.5+k*(1.5+fs'))-(((1-jf)/2)*((D*jf^2)/dis^2*in^2-1)))
- .TXT 1 -32 1 32
- a1,31,37,30
- Press [Ctrl-PgDn] seven times
- .EQN 5 48 3 18
- CC[1:|((as-ad)/2)
- .EQN 0 36 3 13
- CC[3:|(ad/2)
- .EQN 1 -51 1 12
- i:1;5
- .EQN 0 35 2 13
- CC[2:|as
- .EQN 3 -35 3 18
- CC[4:|((at+ad)/2)
- .EQN 0 58 3 13
- X[1:10^-20
- .EQN 1 -38 2 13
- CC[5:|at
- .EQN 0 16 1 17
- Cond:max(CC)
- .EQN 2 2 3 22
- R[4:|((at-as+ad)/2)
- .EQN 1 -38 2 11
- R[1:CC[1
- .EQN 0 13 2 11
- R[2:CC[2
- .EQN 0 13 2 11
- R[3:CC[3
- .EQN 0 34 2 17
- R[5:|(at-as)
- .EQN 3 -60 1 17
- Rcond:max(R)
- .EQN 0 19 1 28
- φ:if(as>0,Cond,Rcond)
- .EQN 1 -19 3 13
- S[1:10^-20
- .EQN 0 39 3 11
- S[4:abs/2
- .EQN 0 14 3 11
- S[5:abt/2
- .EQN 1 -40 2 11
- S[2:abs
- .EQN 0 13 2 11
- S[3:abt
- .EQN 2 13 6 22
- U:3.1362*((Es*▀s)/(k*l*E))^(1/3)
- .EQN 2 -39 2 25
- φo[i:if(ty≈1,X[1,S[i)
- .EQN 3 0 4 33
- MI1:1-3/π*asin(\3/2*(det+dit)/(2*pitch))
- .EQN 2 34 4 33
- MI2:1-4/π*asin(\2/2*(det+dit)/(2*pitch))
- .EQN 3 -34 1 26
- MI:if(tp≈1,MI1,MI2)
- .EQN 2 0 4 29
- µ1i:1-3/π*asin(\3/2*dit/pitch)
- .EQN 0 32 4 29
- µ1o:1-3/π*asin(\3/2*det/pitch)
- .EQN 5 -32 4 29
- µ2i:1-4/π*asin(\2/2*dit/pitch)
- .EQN 0 31 4 29
- µ2o:1-4/π*asin(\2/2*det/pitch)
- .EQN 4 29 4 13
- σ':σ*in^2/lbf
- .EQN 2 -60 2 10
- M[1:MI
- .EQN 0 11 2 11
- M[2:µ1i
- .EQN 0 11 2 11
- M[3:µ1o
- .EQN 0 12 2 11
- M[4:µ2i
- .EQN 0 13 2 11
- M[5:µ2o
- .EQN 3 -47 1 12
- j:1;5
- .EQN 0 19 7 19
- ßφ[j:U/(φ/(M[j*σ'))^0.5
- .EQN 0 25 8 22
- ßφo[(i,j):U/(φo[i/(M[j*σ'))^0.5
- .EQN 4 -44 3 18
- b1[(i,j):-ßφo[(i,j)^2
- .EQN 4 0 8 31
- a1[(i,j):(1+αo*B+(ßφo[(i,j)/ßφ[j)^2)/(A*αo)
- .EQN 2 37 5 29
- c1[(i,j):(-ßφo[(i,j)^2*(1+αo*B))/(A*αo)
- .EQN 7 -37 5 24
- a2[(i,j):b1[(i,j)-a1[(i,j)^2/3
- .EQN 0 39 6 22
- c2[(i,j):(-a2[(i,j)^3/27)^0.5
- .EQN 5 -39 5 40
- b2[(i,j):c1[(i,j)-(a1[(i,j)*b1[(i,j))/3+(2*a1[(i,j)^3)/27
- .EQN 6 0 5 29
- ang[(i,j):Re(acos((-b2[(i,j))/(2*c2[(i,j))))
- .EQN 5 0 5 47
- UV1[(i,j):-a1[(i,j)/3+(|((4*a2[(i,j))/3))^0.5*cos(ang[(i,j)/3)
- .EQN 5 0 6 53
- UV2[j:ßφ[j*((A*αo*ßφ[j)/2+((A^2*αo^2*ßφ[j^2)/4+1+αo*B)^0.5)
- .EQN 8 0 2 34
- UV3[(i,1):if(ty≈1,UV2[1,UV1[(i,1))
- .EQN 0 37 2 17
- UV4:Re(UV2[2)
- .EQN 0 17 2 16
- UV6[i:UV1[(i,4)
- .EQN 3 -54 2 17
- UV5:Re(UV2[3)
- .EQN 0 18 2 16
- UV7[i:UV1[(i,5)
- .EQN 0 17 2 16
- a[i:Re(UV6[i)
- .EQN 0 18 2 16
- b[i:Re(UV7[i)
- .EQN 3 -53 1 32
- uv1:if(UV4≤1.80,1.80,UV4)
- .EQN 0 37 2 31
- uv2[i:if(a[i≤1.80,1.80,a[i)
- .EQN 3 -37 2 45
- uv3[i:if(tp≈1,if(ty≈1,uv1,uv2[i),uv2[i)
- .EQN 3 0 1 32
- uv4:if(UV5>8.84,8.84,UV5)
- .EQN 0 37 2 31
- uv5[i:if(b[i>8.84,8.84,b[i)
- .EQN 3 -37 2 45
- uv6[i:if(tp≈1,if(ty≈1,uv4,uv5[i),uv5[i)
- .EQN 0 46 2 27
- uv7[i:if(ty≈1,UV4,a[i)
- .EQN 3 -46 2 27
- uv8[i:if(ty≈1,UV5,b[i)
- .EQN 0 29 2 18
- c[i:Re(UV3[(i,1))
- .EQN 3 -29 2 77
- UV[i:if(c[i≤1,1.5,if(c[i<1.8,uv3[i,if(c[i≤2.2,uv7[i,if(c[i≤3.8,c[i,0))))
- .EQN 3 0 2 49
- UV[i:if(c[i>3.8,if(c[i≤8.84,uv8[i,uv6[i),UV[i)
- .EQN 3 1 2 18
- Fq[i:A*UV[i+B
- .EQN 0 22 4 27
- PE[i:|(φ/(1+αo*Fq[i)+φo[i)
- .EQN 0 28 1 16
- PE':max(PE)
- .EQN 4 -33 4 29
- τ:(Ffactor*dis/2)*(PE'/σ')^0.5
- .TXT 2 -99 1 31
- a1,30,78,29
- The calculated thickness is:
- .EQN 0 32 1 13
- τ=?in
- .TXT 50 52 1 19
- a1,18,16,17
- UNIT DEFINITIONS
- .TXT 0 24 1 23
- a1,22,25,21
- MKS (SI) unit system
- .TXT 3 -24 1 16
- a1,15,13,14
- I. Base units
- .EQN 1 5 1 8
- m~1L
- .EQN 0 18 1 9
- kg~1M
- .EQN 0 18 1 8
- s~1T
- .EQN 0 18 1 8
- K~1Q
- .TXT 2 -59 1 22
- a1,21,19,20
- II. Angular measure
- .EQN 1 5 1 9
- rad~1
- .EQN 0 18 3 15
- deg~π/180*rad
- .TXT 4 -23 1 29
- a1,28,26,27
- III. Derived units: Length
- .EQN 1 5 1 12
- cm~.01*m
- .EQN 0 18 1 13
- km~1000*m
- .EQN 0 18 1 13
- mm~.001*m
- .EQN 1 -36 1 14
- ft~.3048*m
- .EQN 0 18 1 14
- in~2.54*cm
- .EQN 0 18 1 11
- yd~3*ft
- .EQN 0 18 1 14
- mi~5280*ft
- .TXT 2 -59 1 25
- a1,25,23,24
- IV. Derived units: Mass
- .EQN 1 5 2 14
- gm~10^-3*kg
- .EQN 1 18 1 17
- tonne~1000*kg
- .EQN 0 18 1 19
- lb~453.59247*gm
- .EQN 2 -36 3 9
- oz~lb/16
- .EQN 1 18 1 15
- ton~2000*lb
- .EQN 1 18 1 18
- slug~32.174*lb
- .TXT 2 -41 1 25
- a1,24,22,23
- V. Derived units: Time
- .EQN 1 5 1 15
- minute~60*s
- .EQN 0 18 1 12
- h~3600*s
- .EQN 0 18 1 12
- day~24*h
- .EQN 2 -36 1 16
- year~365*day
- .TXT 2 -5 1 34
- a1,33,31,32
- VI. Derived units: Area, Volume
- .EQN 1 5 2 18
- hectare~10^4*m^2
- .EQN 0 36 2 17
- acre~4840*yd^2
- .TXT 3 -37 1 5
- a1,5,3,4
- ---
- .EQN 1 1 2 13
- L~(.1*m)^3
- .EQN 0 36 2 13
- mL~10^-3*L
- .EQN 2 0 2 22
- fl_oz~29.57353*cm^3
- .EQN 3 0 1 17
- gal~128*fl_oz
- .TXT 2 -41 1 45
- a1,44,42,43
- VII. Derived units: Velocity, Acceleration
- .EQN 1 5 3 10
- mph~mi/h
- .EQN 0 18 3 10
- kph~km/h
- .TXT 4 -19 1 6
- a1,6,4,5
- ----
- .EQN 1 1 4 16
- g~9.80665*m/s^2
- .TXT 1 22 1 28
- a1,27,25,26
- (acceleration of gravity)
- .TXT 4 -27 1 44
- a1,43,41,42
- VIII. Derived units: Force, Energy, Power
- .EQN 1 5 4 11
- N~kg*m/s^2
- .EQN 0 18 2 15
- dyne~10^-5*N
- .EQN 1 23 1 12
- lbf~g*lb
- .TXT 1 -1 1 15
- a1,15,13,14
- (pound force)
- .EQN 2 1 1 12
- kgf~g*kg
- .TXT 1 -1 1 18
- a1,18,16,17
- (kilogram force)
- .TXT 2 -41 1 7
- a1,6,4,5
- ----
- .EQN 1 1 1 9
- J~N*m
- .EQN 0 18 2 14
- erg~10^-7*J
- .EQN 0 23 1 16
- cal~4.1868*J
- .EQN 1 0 1 17
- kcal~1000*cal
- .EQN 1 -41 2 27
- BTU~1.05505585262*10^3*J
- .TXT 3 -1 1 7
- a1,6,4,5
- ----
- .EQN 1 1 3 7
- W~J/s
- .EQN 0 41 3 17
- hp~550*(ft*lbf)/s
- .EQN 1 -23 1 13
- kW~1000*W
- .TXT 2 22 1 23
- a1,23,21,22
- (standard horsepower)
- .TXT 2 -45 1 41
- a1,40,38,39
- IX. Derived units: Pressure, Viscosity
- .EQN 1 5 4 9
- Pa~N/m^2
- .EQN 0 18 4 11
- psi~lbf/in^2
- .EQN 0 18 2 22
- atm~1.01325*10^5*Pa
- .EQN 2 0 2 23
- torr~1.33322*10^2*Pa
- .EQN 2 0 2 24
- in_Hg~3.38638*10^3*Pa
- .TXT 3 -37 1 6
- a1,6,4,5
- ----
- .EQN 1 37 4 14
- St~10^-4*m^2/s
- .EQN 1 -36 1 14
- P~0.1*Pa*s
- .EQN 2 0 1 13
- cP~0.01*P
- .TXT 3 -5 1 17
- a1,16,73,15
- X. Temperature
- .EQN 2 3 1 7
- C~K
- .EQN 0 13 1 11
- F~1.8*C
-