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There is a whole study of the strength of materials and structures known as mechanical statics. Engineering classes spend a lot of time on this subject, since we prefer our bridges to remain standing and our buildings vertical. For our purposes, however, there is one simple principle to learn: Triangles are strong. Everything else ows from this, even if it s not obvious. Let s look at triangles and squares in general. Then we can look for the hidden triangles in a few structures.



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provide a cost-effective solution for moderate to light loads However, for vertical applications, anti-backlash nuts should be mounted with thread or flange on the bottom However, lead screws are not suitable for a cantilevered load arrangement, which might cause a moment on the nut, which in turn can lead to premature failure Having a low coefficient of efficiency in the nut and screw transmission is a major drawback This is because this drive application has large frictional losses Because of this, the drive has a restricted feed and auxiliary motion in machine tool applications The sliding friction between the screw and the nut Fig 526: A lead screw [11] is now replaced by rolling friction Introducing an intermediate member on the screw and nut contact area, such as balls or rollers, does this An anti-friction screw and nut transmission with balls as rolling members is shown in Figure 527 (a) Various sizes are available commercially for different applications (Figure 528)





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Di erent shapes have di erent strengths, just because of the shape. A shape will also have di erent strengths depending on how force is applied to it.

Fig 527: A schematic diagram of a recirculation bearing nut and screw transmission [11]

Fig 528: Various recirculating ball screw systems [11, 12]

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For example, look at your basic drinking straw If you squeeze it from end to end, pushing through the straw s length, it s pretty strong But grab both ends and bend it and it folds up with no e ort For another example, look at a ruler If you place it at on your desk so that half sticks out over the edge, you will nd that you can easily bend the ruler down However, turn it so that the skinny edge is against the desk and you will nd it much harder to bend down In fact, it will twist before it bends To look at the intrinsic strength of squares and triangles, we need to build each of these shapes with hinged corners (Fig 3-1), so that the corners can bend If you push down on a square, straight down on the top, it s pretty strong.

The ball runs along the screw and the nut threaded area and recirculates again through an external return chute as shown in Figure 527 (a) and through an axial channel drilled in the nut [Figure 527 (b)] Usually, the thread of the nut and the screw is half-round and acts as a ball race Backlash elimination on this transmission can be overcome by preloading using springs In ball screw transmissions, the screw is rotated by the motor, and the shaft is connected to the nut, or sleeve, as illustrated in Figure 529 Lubrication is done using low vapour pressure greases for clean-room and vacuum application The sliding friction transmission efficiency is as low as 02 04 compared to anti-friction nut and screws in which the transmission efficiency is as high as 09 095 The screw and nut systems are generally used in conventional and precision machines When the screw is rotated, the nut with its ball bearings moves along the screw axis to create a linear movement on the carriage table along the bedway of the machine Other applications of the screw drives can be observed in grinding and jig boring machines where the drives are largely used for feed motion of precision machine tools In cases where the backlash is extremely undesirable, especially in numerical control machines, the anti-friction nut and screw drives become a popular transmission choice

Fig 529: Ball screw transmission [11]

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