Elements of Natural Philosophy, Volume 1 |
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Page 226
... stress : - Let the whole mutual action between the parts of the wire on the two sides of the cross section at any point ( being of course the action of the matter infinitely near this plane on one side , upon the matter infinitely near ...
... stress : - Let the whole mutual action between the parts of the wire on the two sides of the cross section at any point ( being of course the action of the matter infinitely near this plane on one side , upon the matter infinitely near ...
Page 227
... stress within our conditional limits ( 8 605 ) the wire be subjected . The elongation or contraction produced by the neglected resultant force , if this is in such a direction as to produce any , will cause the line of rigorously no ...
... stress within our conditional limits ( 8 605 ) the wire be subjected . The elongation or contraction produced by the neglected resultant force , if this is in such a direction as to produce any , will cause the line of rigorously no ...
Page 231
... stress ; let us suppose one end to be held fixed in a given direction , and no other force from without to influence it except that of a rigid frame attached to its other end acted on by a force , R , in a given line , AB , and a couple ...
... stress ; let us suppose one end to be held fixed in a given direction , and no other force from without to influence it except that of a rigid frame attached to its other end acted on by a force , R , in a given line , AB , and a couple ...
Page 232
... stress , if the unstrained wire is not straight , but the other circumstances the same as those just specified . 623. As a very simple example of the equilibrium of a wire sub- ject to forces through its length , let us suppose the ...
... stress , if the unstrained wire is not straight , but the other circumstances the same as those just specified . 623. As a very simple example of the equilibrium of a wire sub- ject to forces through its length , let us suppose the ...
Page 236
... stress , offers , when bent and twisted in any manner whatever , not the slightest resistance to being turned round its elastic central curve , as its conditions of equilibrium are in no way affected by turning the whole wire thus ...
... stress , offers , when bent and twisted in any manner whatever , not the slightest resistance to being turned round its elastic central curve , as its conditions of equilibrium are in no way affected by turning the whole wire thus ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cord corresponding cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point flexure fluid forces acting formulae friction geometrical given force Hence hodograph horizontal inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ parallel particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square straight line strain stress suppose tangent theorem tion torsion uniform unit vertical weight whole wire