Experimental Elasticity a Manual for the Laboratory
Experimental Elasticity a Manual for the Laboratory
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By Note III, 1, the force is Mf, where M is the mass of the bar and f is the acceleration of the centre of gravity of the bar. But, to our order of accuracy, the centres of gravity of the bars are at rest, and hence the action of the wire on either bar is simply a couple which, by symmetry, must have a vertical axis. Conversely, each bar exerts a couple on the wire. Hence, the " bending moment " (Chapter II, 31) is the same at every point of the wire, and thus the neutral filament of the wire i...s bent into a circular arc.
It is shown in Chapter II, 31, that the bending moment is El Ip, where p cm. Is the radius of the arc, E is Young's modulus, and / cm. 4 is the " moment of inertia " of the area of cross section of the wire about an axis through the " centre of gravity " of that area perpendicular to the plane of bending. This axis is per- pendicular to the plane of Fig. 38. If , since the length of the wire is I cm.
What to read after Experimental Elasticity a Manual for the Laboratory?
You can find similar books in the "Read Also" column, or choose other free books by G F C George Frederick Charles Searle to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
By Note III, 1, the force is Mf, where M is the mass of the bar and f is the acceleration of the centre of gravity of the bar. But, to our order of accuracy, the centres of gravity of the bars are at rest, and hence the action of the wire on either bar is simply a couple which, by symmetry, must have a vertical axis. Conversely, each bar exerts a couple on the wire. Hence, the " bending moment " (Chapter II, 31) is the same at every point of the wire, and thus the neutral filament of the wire i...s bent into a circular arc.
It is shown in Chapter II, 31, that the bending moment is El Ip, where p cm. Is the radius of the arc, E is Young's modulus, and / cm. 4 is the " moment of inertia " of the area of cross section of the wire about an axis through the " centre of gravity " of that area perpendicular to the plane of bending. This axis is per- pendicular to the plane of Fig. 38. If , since the length of the wire is I cm.
What to read after Experimental Elasticity a Manual for the Laboratory?
You can find similar books in the "Read Also" column, or choose other free books by G F C George Frederick Charles Searle to read onlineMoreLess
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