Roark’s Formulas for Excel™

Long considered the most popular engineering handbook,

Roark’s Formulas for Stress and Strain has been helping engineers

solve design problems for more than 60 years. Universal Technical

Systems, Inc. (UTS) takes it one step further with Roark’s Formulas

for Excel, a fully interactive version of the landmark reference

combined with powerful problem solving technology that

dramatically reduces design hours, production costs, and speeds

time 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 of

practicing engineers.

Proven and powerful

Roark’s Formulas for Stress and Strain has been thoroughly user–tested and in con-

tinuous use since 1938. Roark's Formulas for Excel takes every table and case from

the 7th edition and makes it interactive, includes calculations for all cases and

tables with accompanying diagrams to help streamline the design process and

reduce design iterations, as well as the need for complicated finite element analy-

sis.

In addition, International System of Units (SI) and United States Customary Units

(USCU) conversion is automatic with Roark’s Formulas for Excel, making work

sharing among engineers easier than ever.The user–friendly menu system lets you

select 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 the

design like never before.What’s more, a powerful math engine, with the unique

ability to solve for a variety of combinations of input and output variables (known

as backsolving), allows you to easily test “what–if”scenarios and optimize designs

without 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, handling

multiple 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 to

take 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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Chapter Eleven: Flat Plates TABLES 11.1

2. Annular plate with a uniformly distributed

Case: 2d Supported, Fixed

Roark's Formulas for Excel

Input Value Unit

Output Value Unit

matnum

r0

r

q

a

b

t

in

in

in

in

in

200 psi

1

1

17

3

0.5

0.25

matl

E

nu

caution 1

"Steel - A. S. T. M. A7-61T "

29000000 psi

0.27

'_

'_caution 2Material name

Young's Modulus

Poisson'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

2358.55726 2349.492332340.17318

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 released

by UTS in 1989, and was quickly received by consumers as a “design engineer’s

dream,”as described by Professor Warren Young, the co–author of Roark’s Formulas

for Stress and Strain. Now UTS is taking the next step by making their popular soft-

ware available to Excel users.

Roark’s Formulas for Excel is available for Microsoft® Excel 2000 and higher

running on Microsoft® Windows platforms.

Roark’s Formulas for Excel™

Universal Technical Systems (Europe), Ltd.,2 Richmond Road, Bedford, MK40 3DG, UK • Email: euro@uts.comTel: +44 (0) 1234–302–618 • Fax: +44 (0) 1234–296–587

Universal Technical Systems (India), Pvt. Ltd.,Plot no. 04, Gat No. 285, Maan Hinjewadi, Pune 411057, IndiaEmail: sales_india@uts.com Tel: +91 93716–12493

ALL TRADEMARKS ARE REGISTERED TO THEIR RESPECTIVE COMPANIES. UTSR12–2005 rev.11–2019

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 thirty 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.,4053 North Perryville Road, Loves Park, IL 61111, USA

Tel: +1 815–963–2220 • Fax: +1 815–963–8884 • Email: sales@uts.com

www.uts.com

Visit www.roarksformulas.com for more information and online software

“This product is

AWESOME!Both the idea of implementing

Roark in Excel as well as how

UTS has done it are brilliant. No engineer

should be without it.”Dr. Tom Mincer

—Well–known pioneer and educatorin the application of Excel/VBA

in 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

Deflection in

Moment�

Concentrated Intermediate Load

0

-10000

-20000

-30000

-40000

Distance from Left End [in]

0 10 20 30 40 50 60 70 80

Mom

ent lb

f-in

Case 1: Slope Angle

.002

.0015

.001

.0005

0

Radial Location [in]

0 .5 1 1.5 2 2.5 3

Slo

pe

An

gle

ra

d

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.

.

Arial 10

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

2358.55726 2349.492332340.17318

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's

Modulus

Poisson

Ratio

Thermal

Coeff.

Shear

Modulus

3700000

3550000

4000000

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

9500000

10600000

1E7

19000000

15000000

15000000

14000000

15200000

18300000

19000000

Aluminum - cast, 220 T4

Aluminum - wrought, 2014 T6

Aluminum - wrought, 6061 T6

Beryllium copper

Brass - naval

Bronz - Phosphor, A.S.T.M...

Cast iron, gray, no. 20

Cast iron, gray, no. 30

Cast iron, gray, no. 40

Cast iron, gray, no. 60

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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

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Outputs Font Arial

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Roark's Formulas for Excel - Report Wizard

Report Wizard and Sample Report

“A Designer’s Dream…”