A Manual of Applied Mechanics |
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Page x
... Constant Density . 417. Oscillation , 403. Velocity and Flow , 404. Principle of Continuity , . 410 • • • 411 415. Equations of Displacement , SECTION 3. - Motions of Fluids of Varying Density . 415 416 416 Jets , 405. Flow in a Stream ...
... Constant Density . 417. Oscillation , 403. Velocity and Flow , 404. Principle of Continuity , . 410 • • • 411 415. Equations of Displacement , SECTION 3. - Motions of Fluids of Varying Density . 415 416 416 Jets , 405. Flow in a Stream ...
Page 45
... constant ratios , such as a ; х y = b ; y = c 2 then are these two figures parallel projections of each other . 62. Geometrical Properties of Parallel Projections . — The following are the geometrical properties of parallel projections ...
... constant ratios , such as a ; х y = b ; y = c 2 then are these two figures parallel projections of each other . 62. Geometrical Properties of Parallel Projections . — The following are the geometrical properties of parallel projections ...
Page 52
... constant factor w , . ( 1 . ) X0 = Z XAX AY AZ Σ AXAYAZ nearly ; and similar approximate formulæ for y , and zo Now , it is evident , that the smaller the dimensions a x , a y , a z , of each rectangular molecule , or in other words ...
... constant factor w , . ( 1 . ) X0 = Z XAX AY AZ Σ AXAYAZ nearly ; and similar approximate formulæ for y , and zo Now , it is evident , that the smaller the dimensions a x , a y , a z , of each rectangular molecule , or in other words ...
Page 56
... constant . Let x , y , z , be the co - ordinates of the centre of gravity of a flat plate having its middle plane coincident with the given cross - section . Then , by reasoning similar to that of Articles 74 and 78 , we find the ...
... constant . Let x , y , z , be the co - ordinates of the centre of gravity of a flat plate having its middle plane coincident with the given cross - section . Then , by reasoning similar to that of Articles 74 and 78 , we find the ...
Page 73
... constant , and may be removed from both numerator and denominator of the expressions for x and yo , which then become simply the co- ordinates of the centre of gravity of a flat plate of the figure A A A. This also appears from the ...
... constant , and may be removed from both numerator and denominator of the expressions for x and yo , which then become simply the co- ordinates of the centre of gravity of a flat plate of the figure A A A. This also appears from the ...
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Common terms and phrases
angle angle of repose angular momentum angular velocity applied Article axes bars beam body centre of gravity centre of pressure centre of resistance co-efficient co-ordinates components conjugate pressure cord cos² couple cross section curvature curve cylinder denote depth diagonal diameter direction distance elasticity ellipse equal and opposite equation equilibrium extrados figure fixed flexure fluid formula friction girder given horizontal inclined inertia intensity joint length line of action linear arch load moment of inertia motion neutral axis normal oblique ordinate P₁ P₂ pair parallel forces parallel projection perpendicular polygon position principal stresses principles prism proportional radius radius of curvature ratio rectangular relatively represent resultant rotation shearing stress solid spandril specific gravity square stability straight line strain structure surface tangential tenacity tension THEOREM thrust tion traversing truss uniform vertical weight Λ Λ Λ
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Page 1 - ... which he finds in treatises on dynamics, and should make no allowance for the imperfection of his materials, his whole apparatus of beams, wheels, and ropes would soon come down in ruin, and, with all his geometrical skill, he Would be found a far inferior builder to those painted barbarians who, though they never heard of the parallelogram of forces, managed to pile up Stonehenge.