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Thus, for given values of M and , the cross-sectional area required decreases as we increase h Hence the role of Eq (3031) is to define the constraint on the maximum allowable depth-to-thickness ratio The situation is similar for flanged beams Here we have obtained the results for a simple problem to illustrate the disadvantage involved and the caution necessary in designing beams with thin-walled open cross sections Implicit in this is the advantage of using, when possible, closed cross sections, such as box beams, which have a high torsional stiffness As we have seen, when the applied moment is constant over the entire length of the beam, the problem of definition and its solution have the same form as for the column-buckling problem We can also have similar types of boundary conditions The boundary conditions used in Eq (3030) correspond to a simply supported column.

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If dy/dx and dz/dx are equal to zero at x = 0 for all y and z, then d /dx is equal to zero at x = 0 If this condition is combined with (0) = 0, then we have the equivalent of a clamped column end Hence we can use here the concept of equivalent beam length in the same manner as we used the equivalent column length before In case a beam is subjected to transverse loads, so that the applied moment varies with x, the problem is more complex For the proportioning of flanged beams, Ref [303] should be used as a guide This reference deals with structural applications, so that the size range of interest dealt with is different from the size range of interest in machine design.

But the underlying principles of beam stability are the same, and the proportioning of the members should be similar Example 2 We will examine the design of a beam of length L and rectangular cross section t by h The beam is subjected to an applied moment M (we will not use any modifying symbols here, since there is no ambiguity), which is constant over the length of the beam As noted previously, the required cross-sectional area th will decrease as h is increased We take the allowable stress in the material to be The calculated stress in the beam is not to exceed this value Thus, M(h/2) th3/12 6M th2 th 6M h (1).

We want the cross-sectional area th as small as possible. Hence h should be as large as possible. We can, therefore, replace the inequality in Eq. (1) by the equality th = 6M h (2)

he 10Base-T network cable tester is a very useful gadget that will save lots of time and energy. If you ve been involved or anticipate being involved in wiring a network either at home or at work you ll find this project a real lifesaver. Wiring a 10Base-T network becomes a tedious job in a short time and is therefore prone to mistakes. Keeping track of 8 wires per station, or 16 wire connections per computer, increases the chances of a wiring error, either from an open or short or from incorrect wire sequence in a connection. Building the 10Base-T cable tester will allow you to get it right the first time, with a minor investment.

The maximum value of h that we can use is subject to a constraint based on Eq. (30.31). We will use a factor of safety in this connection. Thus, ( M)2 I(z)I(y) 2E 2 GJ L I(z) I(y) (3)

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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.

relative to stress and deformation analysis. Also, one of the chapters in the two previous editions, Sections and Shapes Tabular Data, is now Appendix A. Discovering opportunities to improve or evolve your designs successfully is one of the primary ways we expect you to use this Handbook. Each chapter has considerable design information and the format used is unique. What follows is a discussion of just some of the helpful information you will find in each chapter.

The 10Base-T Network cable tester utilizes a BASIC STAMP 2 microprocessor in a simple but ingenious way. The STAMP 2 initializes all lamps, and then sequences seven LED

Part 1:

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