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Roark’s Formulas for Excel™
Long considered the most popular engineering handbook,Roark’s Formulas for Stress and Strain has been helping engineerssolve design problems for more than 60 years. Universal TechnicalSystems, Inc. (UTS) takes it one step further with Roark’s Formulasfor Excel, a fully interactive version of the landmark referencecombined with powerful problem solving technology thatdramatically reduces design hours, production costs, and speedstime to market. Imagine not just words and formulas on a page,but completely automated stress analysis of a comprehensive
range of structural components—right on your desktop! Since its first publication,Roark is in constant use by mechanical, aerospace, civil, and many other types ofpracticing engineers.
Proven and powerfulRoark’s Formulas for Stress and Strain has been thoroughly user–tested and incontinuous use since 1938. Roark's Formulas for Excel takes every table and casefrom the 7th edition and makes it interactive, includes calculations for all cases andtables with accompanying diagrams to help streamline the design process andreduce design iterations, as well as the need for complicated finite elementanalysis.
In addition, International System of Units (SI) and United States Customary Units(USCU) conversion is automatic with Roark’s Formulas for Excel, making worksharing among engineers easier than ever.The user–friendly menu system lets youselect a problem by chapter, table, and case—exactly as it is in the book. However,here is where the similarities end.
Pre–formatted plots of deflection, stress, and bending moments let you refine thedesign like never before.What’s more, a powerful math engine, with the uniqueability to solve for a variety of combinations of input and output variables (knownas backsolving), allows you to easily test “what–if”scenarios and optimize designswithout hours of tedious calculations or programming. Just point, click, and solve.
Roark’s Formulas for Excel at a Glance
Roark’s Formulas for Excel includes a Superposition Data Entry Wizard, handlingmultiple load calculations on beams and plates with ease, creating plots of stress,deflection, and shear for the combined loads, every step of the way.What used totake hours now takes a matter of minutes!
• Interactive Calculations—for all cases and tables• Dynamic Plot Annotations—for data analysis and visualization• Full Materials Database—for streamlined data entry• Automatic Unit Conversion—for model sharing flexibility• Report Wizard—for on–demand custom reporting• Superposition Wizard—solves multiple loads on beams and plates
THE Ultimate REFERENCE
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A B C J
Chapter Eleven: Flat Plates TABLES 11.12. Annular plate with a uniformly distributedCase: 2d Supported, Fixed
Roark's Formulas for Excel
Input Value Unit
Output Value Unit
matnumr0
r
q
abt
in
in
inin
in
200 psi1
1
17
30.5
0.25
matlE
nu
caution 1
"Steel - A. S. T. M. A7-61T "
29000000 psi0.27
'_'_caution 2
Material name
Young's ModulusPoisson's ratio
Thickness Check
Annular plates
Supported, FixedSupported Condition:
Beam Type:
Load:
Outer Radious:
Inner Radious:
PlateThickness:
Uniform annular line load:
Radious to annular line load:
2
1
40
50
80
in
in
Reset All Close Show Combined Report...Solve for Load ConditionLoad Number:
r y th Mr Mt Q sigma_r
-1022.36614-1019.8166-1017.27975
2358.557262349.492332340.17318
9825.429269704.815729584.77939
-0.00061-0.00056-0.00052
-0.00865-0.00871-0.00876
4040.140.2
14738.114557.214377.1
in
lbf/in
in5
Results for current load conditionResults for current load condition
Table 11.2, Case 1 [1d Supported, Fixed]Table 11.2, Case 1 [1d Supported, Fixed]
Uniform annular line loadUniform annular line load
Steel - A.S.T.M. A7-61TSteel - A.S.T.M. A7-61T
nu:nu: 0.270.27 2900000029000000E:E:
Outer edge simply supported, inner edge fixedOuter edge simply supported, inner edge fixed
psi
Bottom Line: Roark’s Formulas for Excel gives you the ability to tackle design challenges that would otherwise be too complicated or costly to attempt
The first software edition of Roark’s Formulas, designed for TK Solver, was releasedby UTS in 1989, and was quickly received by consumers as a “design engineer’sdream,”as described by Professor Warren Young, the co–author of Roark’s Formulasfor Stress and Strain. Now UTS is taking the next step by making their popularsoftware available to Excel users.
Roark’s Formulas for Excel is available for Microsoft® Excel 2000 and higherrunning on Microsoft® Windows 2000 and XP platforms.
Roark’s Formulas for Excel™
Universal Technical Systems (India), Pvt. Ltd., 1–B, Rohit Residence, S.No.1–1A/1,2,3 Baner Road, Pune, 411 045, INDIA • Email: [email protected]: +91 20–27290306 or +91 9371612493
Universal Technical Systems (Europe), Ltd.,2 Richmond Road, Bedford, MK40 3DG, UK • Email: [email protected]: +44 (0) 1234–302–618 • Fax: +44 (0) 1234–296–587
ALL TRADEMARKS ARE REGISTERED TO THEIR RESPECTIVE COMPANIES. UTSR12–2005 rev.07–2008
About Universal Technical Systems, Inc.Universal Technical Systems, Inc., established in 1984, is the leading provider of high–productivity problem–solving software products and custom developedsolutions. With headquarters in Rockford, Illinois and subsidiaries in the UK and India, UTS serves customers worldwide. For over twenty years UTS has focusedexclusively on providing solutions that help companies in the scientific, engineering, operations research and management, and financial communities simplifycomplex calculations and streamline the processes that drive their businesses. UTS products and custom solutions are available for desktop and web use.
Universal Technical Systems, Inc., 202 West State Street, Suite 700, Rockford, IL 61101, USATel: +1 815–963–2220 • Fax: +1 815–963–8884 • Email: [email protected]
US & Canada Sales: 800–435–7887
www.uts.us.com
Visit www.roarksformulas.com for more information and online software
“This product is
AWESOME!Both the idea of implementingRoark in Excel as well as how
UTS has done it are brilliant. No engineershould be without it.”
Dr. Tom Mincer—Well–known pioneer and educator
in the application of Excel/VBAin the field of Engineering
r
w
o
Outer edge fixed, inner edge guided
Case 1: Deflection.0005
-.0005
-.001-.0015
-.002
-.0025-.003
-.0035
0
Radial Location [in]
0 .5 1 1.5 2 2.5 3
Def
lect
ion
in
MomentConcentrated Intermediate Load0
-10000
-20000
-30000
-40000
Distance from Left End [in]
0 10 20 30 40 50 60 70 80
Mom
ent l
bf-in
Case 1: Slope Angle
.002
.0015
.001
.0005
0
Radial Location [in]
0 .5 1 1.5 2 2.5 3
Slo
pe A
ngle
rad
Pre–formatted plots of deflection, stress, and bendingmoments let you refine the design like never before.
The user–friendly menu system lets you select a problemby chapter, table, and case—exactly as it is in the book. Accompanying
diagrams help streamline the design process and reduce design iterations.
Annular plates
Supported, FixedSupported Condition:
Beam Type:
Load:
Outer Radious:
Inner Radious:
PlateThickness:
Uniform annular line load:
Radious to annular line load:
2
1
40
50
80
in
in
Reset All Close Show Combined Report...Solve for Load ConditionLoad Number:
r y th Mr Mt Q sigma_r
-1022.36614-1019.8166-1017.27975
2358.557262349.492332340.17318
9825.429269704.815729584.77939
-0.00061-0.00056-0.00052
-0.00865-0.00871-0.00876
4040.140.2
14738.114557.214377.1
in
lbf/in
in5
Results for current load conditionResults for current load condition
Table 11.2, Case 1 [1d Supported, Fixed]Table 11.2, Case 1 [1d Supported, Fixed]
Uniform annular line loadUniform annular line load
Steel - A.S.T.M. A7-61TSteel - A.S.T.M. A7-61T
nu:nu: 0.270.27 2900000029000000E:E:
Outer edge simply supported, inner edge fixed
psi
METALS
matlmatnum G E nu gamma
MaterialsMaterials
Aluminum - cast, pure
Young'sModulus
PoissonRatio
ThermalCoeff.
ShearModulus
3700000
35500004000000
3750000
7000000
5500000
6500000
6700000
6700000
6700000
6700000
.000013
.0000136
.0000128
.000013
.0000093
.0000118
.0000099
.000006
.000006
.000006
.000006
.36
.33
.33
.3
.355
.357
.35
.25
.25
.25
.25
9000000
950000010600000
1E7
19000000
15000000
15000000
14000000
15200000
18300000
19000000
Aluminum - cast, 220 T4
Aluminum - wrought, 2014 T6
Aluminum - wrought, 6061 T6
Beryllium copperBrass - naval
Bronz - Phosphor, A.S.T.M...
Cast iron, gray, no. 20
Cast iron, gray, no. 30
Cast iron, gray, no. 40Cast iron, gray, no. 60
1
2
3
4
56
7
8
9
1011
4
32
5
6
7
89
10
11
12
1314
Return to Spreadsheet Update Materials Table
Roark's Formulas for Excel - Tables
Full Customizable Materials DatabaseSuperposition Wizard
C:\Program Files\UTS\Roark's Formulas for Excel\TK
Roark's Formulas for Excel
Roark's Formulas for Excel
Company Logo
Report Header
Report Footer
Back Color
Inputs
Plots
Name Comment
Page break between inputs and outputs OK Cancel
section1 Section6 - Wide Flanged Beam
Outputs Font Arial
Fore Color
Roark's Formulas for Excel - Report Wizard
Report Wizard and Sample Report
“A Designer’s Dream…”