Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page xi
... Shear - Axes of a Shear - Measure of a Shear - Ellipsoidal specification of a Shear - Analysis of a Strain • Displacement of a Body , rigid or not , one point of which is held fixed Analysis of a Strain into Distortion and Rotation Pure ...
... Shear - Axes of a Shear - Measure of a Shear - Ellipsoidal specification of a Shear - Analysis of a Strain • Displacement of a Body , rigid or not , one point of which is held fixed Analysis of a Strain into Distortion and Rotation Pure ...
Page 123
... strain is called a simple shear . The Simple plane of a shear is a plane perpendicular to the undistorted planes , and parallel to the lines of their relative motion . It Simple shear . Axes of a shear . N K 169. ] 123 KINEMATICS .
... strain is called a simple shear . The Simple plane of a shear is a plane perpendicular to the undistorted planes , and parallel to the lines of their relative motion . It Simple shear . Axes of a shear . N K 169. ] 123 KINEMATICS .
Page 124
... shear . N K has ( 1 ) the property that one set of parallel planes remain each unaltered in itself ; ( 2 ) that ... shear are given , thus : Let CC , be the motion of one point of one plane , relative to a plane KL held fixed - the ...
... shear . N K has ( 1 ) the property that one set of parallel planes remain each unaltered in itself ; ( 2 ) that ... shear are given , thus : Let CC , be the motion of one point of one plane , relative to a plane KL held fixed - the ...
Page 125
... shear . 174. The ratio of a shear is the ratio of elongation or con- Measure of traction of its principal axes . Thus if one principal axis is elongated in the ratio 1 : a , and the other therefore ( § 169 ) con- tracted in the ratio a ...
... shear . 174. The ratio of a shear is the ratio of elongation or con- Measure of traction of its principal axes . Thus if one principal axis is elongated in the ratio 1 : a , and the other therefore ( § 169 ) con- tracted in the ratio a ...
Page 126
... shear in planes perpen- dicular to the line of elongation , as the originally unaltered body gets when the order first stated is followed . Or the dilatation may be first , then the elongation , and finally the shear , and so on . 180 ...
... shear in planes perpen- dicular to the line of elongation , as the originally unaltered body gets when the order first stated is followed . Or the dilatation may be first , then the elongation , and finally the shear , and so on . 180 ...
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Common terms and phrases
acceleration action algebraic altered angular velocity anticlastic application axis Cambridge centre of inertia circle co-ordinates coefficients component condition configuration constant corresponding course curvature curve cycloidal cylinder denote determined differential equation direction cosines displacement distance dt dt dx dy dy dy dy dz ellipsoid elongation equal equations of motion equilibrium expression finite fixed force formula function geometrical given gyrostatic harmonic motions Hence impulse infinitely small instant integral kinetic energy length linear momentum moving negative osculating plane P₁ parallel particle perpendicular polygon position principal axes quadratic quadratic function quantity radius ratio rectangular resultant right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions solution spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values whole Y₁ λ² аф
Popular passages
Page 241 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.