1
Interactive Roark’s Formulas All products are for Windows 2000/XP or higher. ALL TRADEMARKS ARE REGISTERED TO THEIR RESPECTIVE COMPANIES. UTSR02–2004 rev.07–2008 / 03–2013 Interactive Roark's Formulas Proven and Powerful Interactive Roark’s Formulas has been thoroughly user–tested and in continuous use since 1989. It includes interactive calculations for all cases and tables with accompanying diagrams that help streamline the design process and reduce design iterations as well as the need for complicated finite element analysis. In addition, International System of Units (SI) and United States Customary Units (USCU) conversion is automatic with Interactive Roark’s Formulas, making model sharing easier than ever. The user–friendly menuing system lets you select a problem by chapter, table, and case—exactly as it is in the book. However, here’s 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. Interactive Roark’s Formulas at a Glance 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 Solution Optimizer—for advanced control over constraints and bounds Bottom Line: Interactive Roark’s Formulas gives you the ability to tackle design challenges that would otherwise be too complicated or costly to attempt. A Designer’s Dream Interactive Roark’s Formulas includes a number of built–in functions and ease of use features like the Superposition Data Entry Wizard that allows multiple loads to be handled easily by automatically calculating and displaying 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! When first released in 1989, Roark’s Formulas for Stress and Strain co–author Warren Young called Interactive Roark’s Formulas “a designers dream.”In reality,it’s an indispensable tool for any designer, engineer, or technician that works with beams, columns, plates, rings, tanks, or pressure vessels. Interactive Roark’s Formulas is available in a Standard and Premium edition that includes the Solution Optimizer, and supports Microsoft ® Windows 2000 and XP platforms. The Ultimate Reference Long considered the leading authority on structural element design and analysis, 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 Interactive Roark’s Formulas—a fully interactive version of the landmark reference combined with powerful problem solving technology that dramatically reduces design hours and 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! x x TK Solver - Roark's Formulas for Stress and Strain File Edit Commands Options Views Windows Wizards Applications Help Comments: Tables: Plots: Input Sta Name Output Unit Comments PLOT: Deflection Variables Mathlook F9 /1632M 7762K 11.10 AM 2 DIAGRAM 'y axis t1b in Roark's Formulas for Stress and Strain Properties of Sections Section 6: Wide Flanged Beam Generate section diagram ? ('n=no) Neutral Axis (1,2) Length of Flanges, b Thickness of Flanges, t Length of center, d Thickness of center, tw Area, A Centroid of Extremity, y Area moment of inertia Elastic Section Modulus, l/c Radius of Gyration, r Plastic Section Modulus Shape Factor, SF Depth Left end fixed, right end fixed in in in in^2 in in^4 in^3 in t1t t1d t1tw A 2.4 t1y 0.5 l 0.075 l%c 0.15 t1r 1.7678E-1 z 0.35 in^3 sf 2.3333 t case matnum matl plot l a W E z 1 'CASE_1d 'Aluminium 'y 1E7 '_ in 1 0.2 4 0.5 4 10 5 50 0 -.00035 -.0003 -.00025 -.0002 -.00015 -.0001 -.00005 0 .00005 2 4 6 Distance from Left End in [in] Concentrated Intermediate Load Wide-flange beam with equal flanges 1 y t t t w y 1 2 d b 2 2 1 x 2 Load Number Solve for Load Condition Reset All Show Combined Results... Load: Load distance from left end: Elastic Section Modulus: Area moment of inertia: Length of beam: Support: Load: Concentrated Intermediate Load Free, Fixed Beam Type: Material: E: Elastic straight beams Roark's Formulas Beam Superposition Wizard in in lbf in^4 in^3 Load Cross Section... Load Cross Section... Titanium, alloy, 5 AI, 2.5 Sn 17000000 psi 5.4409E–1 48 12 –1000 4.3927E–1 0 .48 .96 1.44 2.52207409457… 2.48844643998… 2.45481878538… 2.42119113079… 0 0 0 0 0 0 0 0 –.07005761373… –.07005761373… –.07005761373… –.07005761373… 0 0 0 0 x y V M theta sty Results for current load condition Left end free, right end fixed (cantilever) a W Hollow rectangle 2 d 2 y b b 1 1 d i i y 1 2 Universal Technical Systems (India), Pvt. Ltd., 1–B Rohit Residence, 1–1A/1,2,3 Baner Road, Pune, 411 045, India [email protected] • Tel: +91 20–2729–0306 or +91 93716–12493 Universal Technical Systems (Europe), Ltd., 2 Richmond Road, Bedford, MK40 3DG, UK • [email protected] Tel: +44 (0) 1234–302–618 • Fax: +44 (0) 1234–296–587 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 developed solutions. With headquarters in Rockford, Illinois and subsidiaries in the UK and India, UTS serves customers worldwide. For over twenty years UTS has focused exclusively on providing solutions that help companies in the scientific, engineering, operations research and management, and financial communities simplify complex 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 protected] www.uts.com

Interactive Roark's Formulas - UTS · Interactive Roark’s Formulas includes a number of built–in functions and ease of use ... TK Solver - Roark's Formulas for Stress and Strain

Embed Size (px)

Citation preview

Page 1: Interactive Roark's Formulas - UTS · Interactive Roark’s Formulas includes a number of built–in functions and ease of use ... TK Solver - Roark's Formulas for Stress and Strain

Interactive Roark’s Formulas

All products are for Windows 2000/XP or higher. ALL TRADEMARKS ARE REGISTERED TO THEIR RESPECTIVE COMPANIES. UTSR02–2004 rev.07–2008 / 03–2013

InteractiveRoark'sFormulas™

Proven and PowerfulInteractive Roark’s Formulas has been thoroughly user–tested and in continuoususe since 1989. It includes interactive calculations for all cases and tables withaccompanying diagrams that help streamline the design process and reduce designiterations as well as the need for complicated finite element analysis. In addition,International System of Units (SI) and United States Customary Units (USCU)conversion is automatic with Interactive Roark’s Formulas, making model sharingeasier than ever.

The user–friendly menuing system lets you select a problem by chapter, table, andcase—exactly as it is in the book. However, here’s 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.

Interactive Roark’s Formulas at a Glance• 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• Solution Optimizer—for advanced control over constraints and bounds

Bottom Line: Interactive Roark’s Formulas gives youthe ability to tackle design challenges that wouldotherwise be too complicated or costly to attempt.

A Designer’s DreamInteractive Roark’s Formulas includes a number of built–in functions and ease of usefeatures like the Superposition Data Entry Wizard that allows multiple loads to behandled easily by automatically calculating and displaying plots of stress, deflection,and shear for the combined loads every step of the way. What used to take hoursnow takes a matter of minutes!

When first released in 1989, Roark’s Formulas for Stress and Strain co–author WarrenYoung called Interactive Roark’s Formulas “a designers dream.” In reality, it’s anindispensable tool for any designer, engineer, or technician that works with beams,columns, plates, rings, tanks, or pressure vessels.

Interactive Roark’s Formulas is available in a Standard and Premium edition thatincludes the Solution Optimizer, and supports Microsoft® Windows 2000 and XPplatforms.

The Ultimate Reference

Long considered the leading authority on structural element design and analysis, Roark’s Formulas for Stressand Strain has been helping engineers solve design problems for more than 60 years.

Universal Technical Systems, Inc. (UTS) takes it one step further with Interactive Roark’s Formulas—a fullyinteractive version of the landmark reference combined with powerful problem solving technology thatdramatically reduces design hours and production costs and speeds time to market. Imagine not just wordsand formulas on a page, but completely automated stress analysis of a comprehensive range of structuralcomponents—right on your desktop!

x x

x

x

TK Solver - Roark's Formulas for Stress and Strain

File Edit Commands Options Views Windows Wizards Applications Help

Comments:Tables:Plots:

InputSta Name Output Unit Comments

PLOT: Deflection

Variables Mathlook

F9 /1632M 7762K 11.10 AM

2

DIAGRAM 'y

axis

t1b in

Roark's Formulas for Stress and Strain

Properties of Sections

Section 6: Wide Flanged Beam

Generate section diagram ? ('n=no)

Neutral Axis (1,2)

Length of Flanges, b

Thickness of Flanges, t

Length of center, d

Thickness of center, tw

Area, A

Centroid of Extremity, y

Area moment of inertia

Elastic Section Modulus, l/c

Radius of Gyration, r

Plastic Section Modulus

Shape Factor, SF

Depth

Left end fixed, right end fixed

Table 8.1: Case1- Roark's Formulas

Concentrated Intermediate Load

End Restraints Reference Number

Material Number

Generate plots ? ('n=no)

Length of beam

Load distance from left end

Load

Young's Modulus

Neutral axis to stress point

AT SECTION:

in

in

in

in^2

in

in^4

in^3

in

t1t

t1d

t1tw

A 2.4

t1y 0.5

l 0.075

l%c 0.15

t1r 1.7678E-1

z 0.35 in^3

sf 2.3333

t

case

matnum

matl

plot

l

a

W

E

z

1

'CASE_1d

'Aluminium

'y

1E7

'_

in

in

in

lbf

psi

in

1

0.2

4

0.5

4

10

5

50

0-.00035-.0003

-.00025-.0002

-.00015-.0001

-.000050

.00005

2 4 6 8 10

Distance from Left End in [in]

Concentrated Intermediate LoadD

efle

ctio

n i

n

Wide-flange beam with equal flanges

1

yt

t

t wy1

2

d

b2

2

1

x

2Load Number Solve for Load Condition Reset All Show Combined Results...

Load:

Load distance from left end:

Elastic Section Modulus:

Area moment of inertia:

Length of beam:

Support:

Load: Concentrated Intermediate Load

Free, Fixed

Beam Type: Material:

E:

Elastic straight beams

Roark's Formulas Beam Superposition Wizard

in

in

lbf

in^4

in^3

Load Cross Section...Load Cross Section...

Titanium, alloy, 5 AI, 2.5 Sn

17000000 psi

5.4409E–1

48

12

–1000

4.3927E–1

0.48.961.44

2.52207409457…2.48844643998…2.45481878538…2.42119113079…

0000

0000

–.07005761373…–.07005761373…–.07005761373…–.07005761373…

0000

x y V M theta sty

Results for current load condition

Left end free, right end fixed (cantilever)

a

W

Hollow rectangle

2

d

2

y

bb

1 1di

i

y1

2

Universal Technical Systems (India), Pvt. Ltd.,1–B Rohit Residence, 1–1A/1,2,3 Baner Road, Pune, 411 045, India [email protected] • Tel: +91 20–2729–0306 or +91 93716–12493

Universal Technical Systems (Europe), Ltd.,2 Richmond Road, Bedford, MK40 3DG, UK • [email protected]: +44 (0) 1234–302–618 • Fax: +44 (0) 1234–296–587

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., 4053 North Perryville Road, Loves Park, IL 61111, USATel: +1 815–963–2220 • Fax: +1 815–963–8884 • [email protected]

www.uts.com