Elements of Natural Philosophy, Volume 1 |
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Page 43
... strain . A ship is said to ' strain ' if , in launching , or when working in a heavy sea , the different parts of it experience relative motions . 136. If , when the matter occupying any space is strained in any way , all pairs of ...
... strain . A ship is said to ' strain ' if , in launching , or when working in a heavy sea , the different parts of it experience relative motions . 136. If , when the matter occupying any space is strained in any way , all pairs of ...
Page 44
... Strain Ellipsoid . 142. In any absolutely unrestricted homogeneous strain there are three directions ( the three principal axes of the strain ellipsoid ) , at right angles to one another , which remain at right angles to one another in ...
... Strain Ellipsoid . 142. In any absolutely unrestricted homogeneous strain there are three directions ( the three principal axes of the strain ellipsoid ) , at right angles to one another , which remain at right angles to one another in ...
Page 45
... strain . First let us suppose there to be no alteration of volume on the whole , and neither elongation nor contraction along the mean principal axis . Z Let OX and OZ be the directions of maximum elongation and maximum contraction ...
... strain . First let us suppose there to be no alteration of volume on the whole , and neither elongation nor contraction along the mean principal axis . Z Let OX and OZ be the directions of maximum elongation and maximum contraction ...
Page 46
... strain under consideration may be produced by holding fast and unaltered the plane of the body through AC , perpendicular to the plane of the diagram , and making every plane parallel to it slide , keep- ing the same distance , through ...
... strain under consideration may be produced by holding fast and unaltered the plane of the body through AC , perpendicular to the plane of the diagram , and making every plane parallel to it slide , keep- ing the same distance , through ...
Page 47
... strain . 157. Hence any strain whatever may be viewed as compounded of a uniform dilatation in all directions , superimposed on a simple elongation in the direction of one principal axis superimposed on a simple shear in the plane of ...
... strain . 157. Hence any strain whatever may be viewed as compounded of a uniform dilatation in all directions , superimposed on a simple elongation in the direction of one principal axis superimposed on a simple shear in the plane of ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centimetre centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant 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 friction geometrical given force Hence hodograph horizontal infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ P₂ parallel parallelogram of forces particle path pendulum perpendicular plane perpendicular portion position potential 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 theory tion torsion uniform unit vertical whole wire