## Elements of Natural Philosophy, Part 1 |

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Page 43

Any such definite alteration of form or dimensions is called a

which becomes longer or shorter is strained . Water , when compressed , is

strained . A stone , beam , or mass of metal , in a building or in a piece of

framework , if ...

Any such definite alteration of form or dimensions is called a

**Strain**. Thus a rodwhich becomes longer or shorter is strained . Water , when compressed , is

strained . A stone , beam , or mass of metal , in a building or in a piece of

framework , if ...

Page 44

becomes in the altered condition , may , to avoid circumlocutions , be called the

are three directions ( the three principal axes of the

to ...

becomes in the altered condition , may , to avoid circumlocutions , be called the

**Strain**Ellipsoid . 142. In any absolutely unrestricted homogeneous**strain**thereare three directions ( the three principal axes of the

**strain**ellipsoid ) , at ht anglesto ...

Page 45

to the analysis of the most general character of a

to be no alteration of volume on the whole , and neither elongation nor

contraction along the mean principal axis . Let OX and OZ be the directions of

maximum ...

to the analysis of the most general character of a

**strain**. First let us suppose thereto be no alteration of volume on the whole , and neither elongation nor

contraction along the mean principal axis . Let OX and OZ be the directions of

maximum ...

Page 46

This kind of

perpendicular to the undistorted planes , and parallel to the lines of the relative

motion . It has ( 1 ) the property that one set of parallel planes remain each

unaltered in ...

This kind of

**strain**is called a simple shear . The plane of a shear is a planeperpendicular to the undistorted planes , and parallel to the lines of the relative

motion . It has ( 1 ) the property that one set of parallel planes remain each

unaltered in ...

Page 47

The planes of no distortion in a simple shear are clearly the circular sections of

the

axis remains unaltered , and is a mean proportional between the greatest and the

...

The planes of no distortion in a simple shear are clearly the circular sections of

the

**strain**ellipsoid . In the ellipsoid of this case , be it remembered , the meanaxis remains unaltered , and is a mean proportional between the greatest and the

...

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### Common terms and phrases

acceleration according acting action amount angle angular applied attraction axes axis body called centre centre of inertia circle component condition consider constant corresponding couple course curvature curve denote density described determined direction displacement distance divided effect elastic elements energy equal equations equilibrium evidently experience expression figure fixed fluid force friction give given gravity harmonic Hence important increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity weight whole wire