about this document - chemical engineering resources · about this document this document contains...
TRANSCRIPT
![Page 1: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/1.jpg)
Content Based Chemical Engineering
Fax: 561-658-6489 Email: [email protected]
1422 Goswick Ridge Road Midlothian VA 23114
© COPYRIGHT, 2005. CHERESOURCES, INC.
About this document
This document contains screenshots of software available from Cheresources.com. You can find this title in our online store at: http://www.cheresources.com/invision/store/ Clicking the above link should activate your default browser and launch the site. We recommend using our search feature to find the title. If you haven’t visited our site before, you can find the main page at: http://www.cheresources.com Thanks for visiting our site, Chris Haslego President Cheresources, Inc.
![Page 2: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/2.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------a = mm
--------------- Calculated Properties ---------------
A = a2 = mm2
= mm
= mm4
= mm3
r = 0.289a = mm
Properties of Sections - Solid Centered Square
y1
2a
Ia
4
12
Za3
6
Section Properties-Metric.xls M.Roote © May 2011
![Page 3: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/3.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------a = mm
--------------- Calculated Properties ---------------
A = a2 = mm2
y = a = mm
= mm4
= mm3
r = 0.577a = mm
Properties of Sections - Solid Offset Square
Ia
4
3
Za
3
3
![Page 4: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/4.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------a = mm
--------------- Calculated Properties ---------------
A = a2 = mm2
y = 0.707a = mm
= mm4
Z = 0.118a3 = mm3
r = 0.289a = mm
Properties of Sections - Solid Rotated Square
Ia
4
12
![Page 5: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/5.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------a = mmb = mm
--------------- Calculated Properties ---------------
A = a2 - b2 = mm2
= mm
= mm4
= mm3
= mm
Properties of Sections - Hollow Centered Square
y1
2a
Ia4
b4
12
Za
4b
4
6a
r 0.289 a2
b2
![Page 6: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/6.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------a = mmb = mm
--------------- Calculated Properties ---------------
A = a2 - b2 = mm2
y = 0.707a = mm
= mm4
= mm3
= mm
Properties of Sections - Hollow Rotated Square
Ia4
b4
12
r 0.289 a2
b2
Z0.118a
4b
4
a
![Page 7: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/7.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------b = mmd = mm
--------------- Calculated Properties ---------------
A = bd = mm2
= mm
= mm4
= mm3
r = 0.289d = mm
Properties of Sections - Solid Centered Rectangle
y1
2d
Ibd
3
12
Zbd
2
6
![Page 8: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/8.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------b = mmd = mm
--------------- Calculated Properties ---------------
A = bd = mm2
y = d = mm
= mm4
= mm3
r = 0.577d = mm
Properties of Sections - Solid Offset Rectangle
Ib d
3
3
Zb d
2
3
![Page 9: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/9.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------a = °b = mmd = mm
--------------- Calculated Properties ---------------
A = bd = mm2
c = °
= mm
= mm4
= mm3
= mm
Properties of Sections - Solid Rotated Square
yb sin a d cos a
2
Ib d b
2sin
2 a d2
cos2 a
12
Zb d b
2sin
2 a d
2cos
2a
6 b sin a d cos a( )
rb
2sin
2 a d
2cos
2a
12
![Page 10: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/10.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------b = mmd = mmh = mmk = mm
--------------- Calculated Properties ---------------
A = bd - hk = mm2
= mm
= mm4
= mm3
= mm
Properties of Sections - Hollow Centered Rectangle
y1
2d
Ibd
3hk
3
12
Zbd
3hk
3
6d
r 0.289bd
3hk
3
bd hk
![Page 11: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/11.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------b = mmd = mm
--------------- Calculated Properties ---------------
= mm2
= mm
= mm4
= mm3
r = 0.236d = mm
Properties of Sections - Centered Triangle
A1
2bd
y2
3d
Ibd
3
36
Zbd
2
24
![Page 12: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/12.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------b = mmd = mm
--------------- Calculated Properties ---------------
= mm2
y = d = mm
= mm4
= mm3
r = 0.408d = mm
Properties of Sections - Offset Triangle
A1
2bd
Ibd
3
12
Zbd
2
12
![Page 13: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/13.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------a = mmb = mmd = mm
--------------- Calculated Properties ---------------
= mm2
= mm
= mm4
= mm3
= mm
Properties of Sections - Trapezoid
Ad a b( )
2
yd a 2b( )
3 a b( )
Id
3a2
4 ab b2
36 a b( )
rI
A
Zd
2a2
4ab b2
12 a 2b( )
![Page 14: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/14.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------d = mm
--------------- Calculated Properties ---------------
A = 0.7854d2 = mm2
= mm
I = 0.049d4 = mm4
Z = 0.098d3 = mm3
= mm
Properties of Sections - Circle
yd
2
rd
4
![Page 15: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/15.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------D = mmd = mm
--------------- Calculated Properties ---------------
A = 0.7854(D2 - d2) = mm2
= mm
I = 0.049(D4 - d4) = mm4
= mm3
= mm
Properties of Sections - Donut
yD
2
Z0.098 D
4d
4
D
r D2 d
2
4
![Page 16: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/16.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------R = mmt = mm
--------------- Calculated Properties ---------------
= mm2
y = R = mm
= mm4
= mm3
r = 0.707R = mm
Properties of Sections - Thin-Walled CylinderFor Section of thin walled cylinder when R>10t
A 2Rt
I R3t
Z R2t
![Page 17: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/17.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------d = mm
--------------- Calculated Properties ---------------
A = 0.393d2 = mm2
y = 0.288d = mm
I = 0.007d4 = mm4
Z = 0.024d3 = mm3
r = 0.132d = mm
Properties of Sections - Half Circle
![Page 18: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/18.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)
y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------R = mmr1 = mm
--------------- Calculated Properties ---------------
A = 1.5708(R2 - r12) = mm2
= mm
= mm4
= mm3
= mm
Properties of Sections - Half Donut
y 0.424R
3r1
3
R2
r12
I 0.1098R4
r14
0.283R2
r12 R r1( )
R r1
ZI
y
rI
y
![Page 19: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/19.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------a = mmb = mm
--------------- Calculated Properties ---------------
A = 3.1416ab = mm2
y = a = mm
I = 0.7854a3b = mm4
Z = 0.7854a2b = mm3
= mm
Properties of Sections - Ellipse
ra
2
![Page 20: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/20.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)
y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------b = mmd = mmh = mms = mmt = mm
--------------- Calculated Properties ---------------
A = bs + ht = mm2
= mm
I = ⅓[ty3 + b(d - y)3 - (b - t)(d - y - s)2] = mm4
= mm3
= mm
Properties of Sections - Structural Tee
y dd
2t s
2b t( )
2 bs ht( )
ZI
y
rI
A
Section Properties-Metric.xls M.Roote © May 2011
![Page 21: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/21.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)
y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------a = mmt = mm
--------------- Calculated Properties ---------------
A = t(2a-t) = mm2
= mm
I = ⅓[ty3 + a(a-y)3 - (a - t)(b - y - t)3] = mm4
= mm3
= mm
Properties of Sections - Equal 'L'
ZI
y
rI
A
y aa2
at t2
2 2a t( )
![Page 22: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/22.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)
y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------a = mmb = mmd = mmt = mm
--------------- Calculated Properties ---------------
A = t(a + b - t) = mm2
= mm
I = ⅓[ty3 + a(b - y)3 - (a - t)(b - y - t)3] = mm4
= mm3
= mm
Properties of Sections - Unequal 'L'
ZI
y
rI
A
y bt 2d a( ) d
2
2 d a( )
![Page 23: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/23.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------b = mmd = mmh = mms = mmt = mm
--------------- Calculated Properties ---------------
A = bd - h(b - t) mm2
= mm
= mm4
= mm3
= mm
Properties of Sections - Vertical 'I'
yd
2
Ibd
3h
3b t( )
12
Zbd
3h
3b t( )
6d
rI
A
![Page 24: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/24.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------b = mmd = mmh = mms = mmt = mm
--------------- Calculated Properties ---------------
A = bd - h(b - t) mm2
= mm
= mm4
= mm3
= mm
Properties of Sections - Horizontal 'I'
yb
2
I2sb
3ht
3
12
Z2sb
3ht
3
6b
rI
A
![Page 25: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/25.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------b = mmd = mmh = mms = mmt = mm
--------------- Calculated Properties ---------------
A = bd - h(b - t) mm2
= mm
= mm4
= mm3
= mm
Properties of Sections - Vertical Channel
yd
2
Ibd
3h
3b t( )
12
Zbd
3h
3b t( )
6d
rbd
3h
3b t( )
12 bd h b t( )(
![Page 26: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/26.jpg)
10/04/11
SERVICE:
--------------- Definition of Symbols ---------------A = Area, mm2
I = Moment of inertia, mm4
r = Radius of gyration, √(I/A)y = Distance from neutral axis to extreme fiber, mm
Z = Section modulus, I/y, mm3
--------------- User Input ---------------b = mmd = mmh = mms = mmt = mm
--------------- Calculated Properties ---------------
A = bd - h(b - t) = mm2
= mm
I = (2sb3 + ht3)/[3 - A(b - y)2] = mm4
= mm3
= mm
Properties of Sections - Horizontal Channel
y b2b
2s ht
2
2bd 2h b t( )
ZI
y
rI
A
![Page 27: About this document - Chemical Engineering Resources · About this document This document contains screenshots of software available from Cheresources.com. ... Z = Section modulus,](https://reader031.vdocuments.net/reader031/viewer/2022022520/5b19e2ce7f8b9a32258cd96e/html5/thumbnails/27.jpg)
BASIS : This program is for calculating the properties of sections.
NOTE : Always begin a new case by retrieving the original file. Direct entry of data in cells that originally containtable lookups could cause functions to be lost and/or incorrect calculations. Cells that require data entry arecolored RED; calculated values are black.
REFERENCES :1) Pressure Vessel Handbook - 11 th Edition
2) Manual of Steel Construction - Allowable Stress Design - A.I.S.C. 9 th Edition
<>-<>-<>-<>-<> ProcSafety May 2011, by Mark Roote <>-<>-<>-<>-<>
The originator of these spreadsheets specifically excludes all warranties, expressed or implied, as to the accuracy ofthe data and other information set forth and assumes NO liability for any losses or damage resulting from the use ofthe materials or application of the data.
Consistent with GOOD ENGINEERING PRACTICE, the burden rests with the USER of these spreadsheets to reviewALL calculations and assumptions. The USER IS FULLY RESPONSIBLE for the results or decisions based oncalculations.
Properties of Sections