codeproject vb.net barcode generator Deflections of Shaft of Fig. 17.5 in Software

Painting European Article Number 13 in Software Deflections of Shaft of Fig. 17.5

TABLE 17.4 Deflections of Shaft of Fig. 17.5
Scanning GTIN - 13 In None
Using Barcode Control SDK for Software Control to generate, create, read, scan barcode image in Software applications.
Creating European Article Number 13 In None
Using Barcode drawer for Software Control to generate, create EAN13 image in Software applications.
Station
Scanning UPC - 13 In None
Using Barcode decoder for Software Control to read, scan read, scan image in Software applications.
EAN13 Printer In C#
Using Barcode drawer for Visual Studio .NET Control to generate, create EAN-13 image in VS .NET applications.
Bending yi Bending (dy/dx)i Shear (dy/dx)avi
Print EAN 13 In VS .NET
Using Barcode generation for ASP.NET Control to generate, create EAN 13 image in ASP.NET applications.
Encode EAN13 In .NET Framework
Using Barcode creator for Visual Studio .NET Control to generate, create EAN13 image in Visual Studio .NET applications.
Shear yi
Generating EAN-13 Supplement 5 In Visual Basic .NET
Using Barcode encoder for .NET Control to generate, create EAN 13 image in .NET applications.
Barcode Creator In None
Using Barcode generator for Software Control to generate, create barcode image in Software applications.
Combined yi
Generate Barcode In None
Using Barcode printer for Software Control to generate, create bar code image in Software applications.
UPC-A Supplement 2 Encoder In None
Using Barcode creator for Software Control to generate, create UPCA image in Software applications.
Combined (dy/dx)i
Paint Code 128 Code Set C In None
Using Barcode maker for Software Control to generate, create Code 128C image in Software applications.
Encode EAN-13 In None
Using Barcode maker for Software Control to generate, create UPC - 13 image in Software applications.
SHAFTS
Make Leitcode In None
Using Barcode creator for Software Control to generate, create Leitcode image in Software applications.
Linear Barcode Generator In Visual Basic .NET
Using Barcode generation for .NET framework Control to generate, create Linear Barcode image in .NET framework applications.
1 2 3 4 5 6 7 8 9 10
Barcode Creator In Objective-C
Using Barcode printer for iPhone Control to generate, create barcode image in iPhone applications.
Decoding Barcode In C#
Using Barcode decoder for VS .NET Control to read, scan read, scan image in Visual Studio .NET applications.
0.250 0.500 1.250 1.625 1.875 2.250 3.000 3.250 3.500
Matrix Barcode Printer In Java
Using Barcode generation for Java Control to generate, create 2D Barcode image in Java applications.
Barcode Drawer In None
Using Barcode drawer for Font Control to generate, create barcode image in Font applications.
0.000 240 0 0.000 234 0.000 842 0.001 05 0.001 14 0.001 14 0.000 403 0 0.000 431
Creating Barcode In .NET
Using Barcode printer for Reporting Service Control to generate, create bar code image in Reporting Service applications.
Generating GTIN - 128 In None
Using Barcode generator for Font Control to generate, create GS1 128 image in Font applications.
0.000 959 0.000 959 0.000 891 0.000 690 0.000 408 0.000 306 0.000 378 0.001 38 0.001 72 0.001 72 0.738E-05 0 0.369E-04 0.984E-04 0.188E-03 0.225E-03 0.315E-03 0.140E-03 0 0.738E-05
0.295E-04 0.886E-04 0.115E-03 0.116E-03 0.194E-03 0.194E-03 0.328E-05 0.397E-03 0.266E-03 0.295E-04
0.247E-03 0 0.271E-03 0.940E-03 0.124E-02 0.137E-02 0.145E-02 0.543E-03 0 0.424E-03
0.988E-03 0.105E-02 0.101E-02 0.850E-03 0.601E-03 0.500E-03 0.375E-03 0.178E-02 0.199E-02 0.169E-02
Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.
C1 = 0.959(10 3), C2 = 0.240(10 3), Eqs. (17.5) and (17.6). c0 = 0.295(10 4), y0 = 0.738(10 5), Eqs. (17.11) and (17.12).
SHAFTS 17.13
SHAFTS
17.4 DISTORTION DUE TO TORSION
Angular deflection in a right circular cylindrical shaft due to torque T is = T GJ rad
(17.13) with torques Ti , the angular
For a stepped shaft of individual cylinder length deflection is = i = Ti i Gi Ji
(17.14)
which becomes = (T/G) ( i/Ji) for constant torque through homogeneous material. The torsional stiffness can be defined as ki = Ti/ i, and since i = Ti/ki and = i = (Ti/ki), one may write for constant torque = T (1/ki). It follows that 1 = k 1 ki (17.15)
The equation = (T/G) i/Ji is not precise, since experimental evidence shows that is larger than given by this equation. The material in a step (shoulder) has a surface free of shear. Some material loafs, so other material is more distressed and distorts more. The existence of keyways, splines, and tapered sections increases angular flexibility also. For quantitative treatment of these realities, see Ref. [17.3], pp. 93 99. When a coupling is keyed or splined to a shaft, that shaft can be considered to twist independently of the coupling for one-third of its hub length.
17.5 SHAFT MATERIALS
Most steels have similar moduli of elasticity, so that the rigidity requirement can be met by geometric decisions, independent of the material choice among steels. Strength to resist loading stresses affects the choice of material. ANSI 1020-1050 steels and 11XX free-machining steels are common choices. Heat treating 1340-50, 3140-50, 4140, 4340, 5140, and 8650 steels produces greater strength. Hardness is a function of size, and the methods of Grossman and Fields and of Crafts and Lamont in 33 are important to quantitatively relate strength to size and heattreatment regimen. Carburizing grades 1020, 4320, 4820, and 8620 are chosen for surface-hardening purposes. Cold-rolled sections are available up to about 31 2 in in diameter. Hot-rolled rounds are available up to nearly 6 in. Above this size, forging precedes machining. When a shaft geometry is created (prior to final machining) by a volumeconservative process (casting or hot or cold forming), then optimality can be pursued by minimizing the material amount if production volume permits. Constraints can be made nearly active at several locations. Many shafts are created for small production runs by machining round stock, and optimality may be achieved by minimizing the amount of material removed from the work piece, which minimizes the machining effort.
Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright 2004 The McGraw-Hill Companies. All rights reserved. Any use is subject to the Terms of Use as given at the website.
SHAFTS 17.14
POWER TRANSMISSION
17.6 LOAD-INDUCED STRESSES
Shafts that transmit power are often loaded in such a way that the torsion which performs the work induces transverse bending forces at gears. If the torsion is stochastic, so is the induced bending due to pitch-line forces. Both the torsion and the bending moment have the same distribution and coefficient of variation. The same is true of a point couple induced at a helical gear. For ductile shaft materials, distortion energy theory is used, and the array of stresses at a critical location element are combined to form the von Mises stress. If the normal stresses at a point are x, y, z and the associated shear stresses are xy, yz, zx, then the von Mises stress is given by = 1 2
2 2 2 [( x y )2 + ( y z )2 + ( z x )2 + 6( xy + yz + zx)]1/2
(17.16)
In a shaft, the critical location is usually at a surface, and two normal stresses (say y and z) and two shear stresses (say xz and zx) are zero. Equation (17.16) simplifies to
Copyright © OnBarcode.com . All rights reserved.