 Home
 Products
 Integration
 Tutorial
 Barcode FAQ
 Purchase
 Company
barcode generator vb.net source code CURVED BEAMS AND RINGS in Software
CURVED BEAMS AND RINGS Reading EAN13 Supplement 5 In None Using Barcode Control SDK for Software Control to generate, create, read, scan barcode image in Software applications. Paint EAN13 Supplement 5 In None Using Barcode creator for Software Control to generate, create European Article Number 13 image in Software applications. TABLE 38.1 Eccentricities and Stress Factors for Curved Beams
EAN 13 Scanner In None Using Barcode recognizer for Software Control to read, scan read, scan image in Software applications. EAN13 Generation In C# Using Barcode generation for .NET framework Control to generate, create European Article Number 13 image in VS .NET applications. 38.4 Downloaded from Digital Engineering Library @ McGrawHill (www.digitalengineeringlibrary.com) Copyright 2004 The McGrawHill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website. Printing EAN13 In Visual Studio .NET Using Barcode printer for ASP.NET Control to generate, create GS1  13 image in ASP.NET applications. GTIN  13 Drawer In VS .NET Using Barcode creator for .NET framework Control to generate, create EAN 13 image in Visual Studio .NET applications. CURVED BEAMS AND RINGS
Painting UPC  13 In VB.NET Using Barcode encoder for Visual Studio .NET Control to generate, create EAN13 image in .NET framework applications. Bar Code Maker In None Using Barcode creation for Software Control to generate, create barcode image in Software applications. TABLE 38.1 Eccentricities and Stress Factors for Curved Beams (Continued) Draw Barcode In None Using Barcode generation for Software Control to generate, create barcode image in Software applications. ANSI/AIM Code 39 Maker In None Using Barcode printer for Software Control to generate, create Code39 image in Software applications. 38.5 Downloaded from Digital Engineering Library @ McGrawHill (www.digitalengineeringlibrary.com) Copyright 2004 The McGrawHill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website. Draw Code 128 Code Set C In None Using Barcode generator for Software Control to generate, create Code 128A image in Software applications. GS1  13 Maker In None Using Barcode printer for Software Control to generate, create EAN 13 image in Software applications. CURVED BEAMS AND RINGS
Create Code11 In None Using Barcode creation for Software Control to generate, create USD8 image in Software applications. Print UPC  13 In Java Using Barcode creation for BIRT Control to generate, create EAN13 image in BIRT applications. TABLE 38.1 Eccentricities and Stress Factors for Curved Beams (Continued) Barcode Maker In Java Using Barcode generation for Java Control to generate, create barcode image in Java applications. Generating Data Matrix ECC200 In VS .NET Using Barcode drawer for ASP.NET Control to generate, create DataMatrix image in ASP.NET applications. 38.6 Downloaded from Digital Engineering Library @ McGrawHill (www.digitalengineeringlibrary.com) Copyright 2004 The McGrawHill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website. Bar Code Maker In Visual Studio .NET Using Barcode generator for Reporting Service Control to generate, create bar code image in Reporting Service applications. Data Matrix Drawer In ObjectiveC Using Barcode drawer for iPad Control to generate, create Data Matrix image in iPad applications. CURVED BEAMS AND RINGS
Code39 Generator In None Using Barcode creation for Online Control to generate, create ANSI/AIM Code 39 image in Online applications. USS Code 128 Generation In Java Using Barcode generator for Java Control to generate, create Code 128 Code Set A image in Java applications. TABLE 38.1 Eccentricities and Stress Factors for Curved Beams (Continued) 38.7 Downloaded from Digital Engineering Library @ McGrawHill (www.digitalengineeringlibrary.com) Copyright 2004 The McGrawHill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website. CURVED BEAMS AND RINGS 38.8
CLASSICAL STRESS AND DEFORMATION ANALYSIS
TABLE 38.2 StrainEnergy Formulas
To determine the deflection of end A, we employ a fictitious force Q acting down at end A. Then the deflection is y= U r = Q EI r M d + GK Q
T d Q
(38.7) The components of the moment and torque due to Q can be obtained by substituting Q for F in the moment and torque equations in Table 38.3 for an end load F; then the total of the moments and torques is obtained by adding this result to the equations for M and T due only to the distributed load.When the terms in Eq. (38.7) have FIGURE 38.1 (a) Ring segment of span angle loaded by force F normal to the plane of the ring. (b) View of portion of ring AB showing positive directions of the moment and torque for section at B. Downloaded from Digital Engineering Library @ McGrawHill (www.digitalengineeringlibrary.com) Copyright 2004 The McGrawHill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website. CURVED BEAMS AND RINGS 38.9
CURVED BEAMS AND RINGS
TABLE 38.3 Formulas for Ring Segments with One Support
been formed, the force Q can be placed equal to zero prior to integration. The deflection equation can then be expressed as y= wr 4 A B + 2 EI GK (38.8) FIGURE 38.2 (a) Ring segment of span angle loaded by a uniformly distributed load w acting normal to the plane of the ring segment; (b) view of portion of ring AB; force W is the resultant of the distributed load w acting on portion AB of ring, and it acts at the centroid. Downloaded from Digital Engineering Library @ McGrawHill (www.digitalengineeringlibrary.com) Copyright 2004 The McGrawHill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website. CURVED BEAMS AND RINGS 38.10
CLASSICAL STRESS AND DEFORMATION ANALYSIS
38.4 RINGS WITH SIMPLE SUPPORTS
Consider a ring loaded by any set of forces F and supported by reactions R, all normal to the ring plane, such that the force system is statically determinate. The system shown in Fig. 38.3, consisting of five forces and three reactions, is statically determinate and is such a system. By choosing an origin at any point A on the ring, all forces and reactions can be located by the angles measured counterclockwise from A. By treating the reactions as negative forces, Den Hartog [38.3], pp. 319 323, describes a simple method of determining the shear force, the bending moment, and the torsional moment at any point on the ring. The method is called Biezeno s theorem. A term called the reduced load P is defined for this method. The reduced load is obtained by multiplying the actual load, plus or minus, by the fraction of the circle corresponding to its location from A. Thus for a force Fi, the reduced load is Pi = i Fi 360 (38.9) Then Biezeno s theorem states that the shear force VA, the moment MA, and the torque TA at section A, all statically indeterminate, are found from the set of equations VA =

