The Mechanics of Construction, EtcDughton, Bull & Company, 1861 |
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Page 18
... component of pa , estimated perpendicularly to the cutting plane , will be х ρα . · • ( 1 ) . r The sum P of all the pressures corresponding to ( 1 ) for all the points of the half surface of the cylinder , will be P P = Σ ( απ ) ...
... component of pa , estimated perpendicularly to the cutting plane , will be х ρα . · • ( 1 ) . r The sum P of all the pressures corresponding to ( 1 ) for all the points of the half surface of the cylinder , will be P P = Σ ( απ ) ...
Page 21
... component of pa , estimated perpendicularly to this diametral plane , will be x ρα r ( 1 ) , r being the radius of the hollow sphere . Wherefore the sum P of all the pressures corresponding to ( 1 ) for all the points of the half ...
... component of pa , estimated perpendicularly to this diametral plane , will be x ρα r ( 1 ) , r being the radius of the hollow sphere . Wherefore the sum P of all the pressures corresponding to ( 1 ) for all the points of the half ...
Page 28
... components of the forces in a direction perpendicular to that section will involve the interior forces only , as P is supposed to act in a direction parallel to the section . Now the elonga- tions and compressions of the fibres of the ...
... components of the forces in a direction perpendicular to that section will involve the interior forces only , as P is supposed to act in a direction parallel to the section . Now the elonga- tions and compressions of the fibres of the ...
Page 36
... component forces have been neglected , it is desirable to explain the method of investi- gation when those forces are considered . This will form the subject of the next section . B A P Section 2 . 28. RESISTANCE TO FLEXURE IN GENERAL ...
... component forces have been neglected , it is desirable to explain the method of investi- gation when those forces are considered . This will form the subject of the next section . B A P Section 2 . 28. RESISTANCE TO FLEXURE IN GENERAL ...
Page 37
... component forces , parallel and perpendicular respectively to the section HK . Take for axes of coordinates two ... components of the exterior forces parallel to the axis of y , and by P , the corresponding forces parallel to the axis of ...
... component forces , parallel and perpendicular respectively to the section HK . Take for axes of coordinates two ... components of the exterior forces parallel to the axis of y , and by P , the corresponding forces parallel to the axis of ...
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Common terms and phrases
angle axle beam breadth c₁ catenary centre of gravity centre of pressure chain circular arch coefficient of resistance coefficient of safety common catenary compression cosec cross section cubic foot curve of pressure cylinder deflection Denote density determined diameter dimensions Edition equal equation equilibrium exterior forces extrados extremity F. A. Paley Fcap feet fibre find the thickness fixed formula fracture h₁ Hence horizontal line horizontal position horizontal thrust inertia intrados king-post length lever arm load lowest point modulus of elasticity moment of inertia moments neutral axis parabola parallel perpendicular plane preceding prism PROP r+ h r₁ radius rafter rectangular roof section HK segmental arch sin² springing line stability straining force supported supposed surcharge thickness of pier tie-beam torsion trapezoid triangle vertical pressure weight Wherefore
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