Elements of Natural Philosophy, Part 1 |
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Page 235
... stress ( P , Q , R , S , T , U ) , and to oppose this stress only with its innate resistance to change of shape , the differential equation of work done will [ by ( 4 ) ̧ with de , df , etc. , substituted for e , f , etc. ] be dw = Pde ...
... stress ( P , Q , R , S , T , U ) , and to oppose this stress only with its innate resistance to change of shape , the differential equation of work done will [ by ( 4 ) ̧ with de , df , etc. , substituted for e , f , etc. ] be dw = Pde ...
Page 236
... stress- components are therefore all altered in the same ratio as the strain- components if these are altered all in any one ratio ; w must be a homogeneous quadratic function of the six variables e , f , g , a , b , c , which , if we ...
... stress- components are therefore all altered in the same ratio as the strain- components if these are altered all in any one ratio ; w must be a homogeneous quadratic function of the six variables e , f , g , a , b , c , which , if we ...
Page 238
... stress ( § 633 ) in planes parallel to two pairs of its sides , must experience simple deformation , or shear ( § 150 ) , in the same direction , unaccompanied by condensa- tion or dilatation1 , and the same in amount for all the three ...
... stress ( § 633 ) in planes parallel to two pairs of its sides , must experience simple deformation , or shear ( § 150 ) , in the same direction , unaccompanied by condensa- tion or dilatation1 , and the same in amount for all the three ...
Page 239
... stress required to produce a stated amount of distortion measures the second . The numerical measure of the first is the compressing pressure divided by the diminution of the bulk of a portion of the substance which , when uncompressed ...
... stress required to produce a stated amount of distortion measures the second . The numerical measure of the first is the compressing pressure divided by the diminution of the bulk of a portion of the substance which , when uncompressed ...
Page 243
... stress , in producing elongation in its own direction , and contraction 1 This decimal being the weight in pounds of 12 cubic inches of water . The one great advantage of the French metrical system is , that the mass of the unit volume ...
... stress , in producing elongation in its own direction , and contraction 1 This decimal being the weight in pounds of 12 cubic inches of water . The one great advantage of the French metrical system is , that the mass of the unit volume ...
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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