Elements of Natural Philosophy, Part 1 |
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Page 235
Hence a body of any shape , and of cubic content C , subjected throughout to a
uniform stress ( P , Q , R , S , T , U ) while taking uniformly throughout a strain ( e ,
f , g , a , b , c ) , experiences an amount of work equal to ( Pet Of + Rg + Sa + Tb +
...
Hence a body of any shape , and of cubic content C , subjected throughout to a
uniform stress ( P , Q , R , S , T , U ) while taking uniformly throughout a strain ( e ,
f , g , a , b , c ) , experiences an amount of work equal to ( Pet Of + Rg + Sa + Tb +
...
Page 238
But , further , a cube cut from any position in it , and acted on by tangential or
distorting stress ( § 633 ) in planes parallel to two pairs of its sides , must
experience simple deformation , or shear ( $ 150 ) , in the same direction ,
unaccompanied ...
But , further , a cube cut from any position in it , and acted on by tangential or
distorting stress ( § 633 ) in planes parallel to two pairs of its sides , must
experience simple deformation , or shear ( $ 150 ) , in the same direction ,
unaccompanied ...
Page 239
these , and the amount of the distorting 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
...
these , and the amount of the distorting 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
...
Page 243
In $$ 652,653 we examined the effect of a simple longitudinal stress , in
producing elongation in its own direction , and contraction 1 This decimal being
the weight in pounds of 12 cubic inches of water . The one great advantage of the
French ...
In $$ 652,653 we examined the effect of a simple longitudinal 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 ...
Page 244
And , to produce either of the distortions simply , since the measure ( § 154 ) of
each is ģe , requires a distorting stress equal to nx ge , which consists of
tangential tractions each equal to this amount , positive ( or drawing outwards ) in
the line ...
And , to produce either of the distortions simply , since the measure ( § 154 ) of
each is ģe , requires a distorting stress equal to nx ge , which consists of
tangential tractions each equal to this amount , positive ( or drawing outwards ) in
the line ...
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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