The Mechanics of Construction, EtcDughton, Bull & Company, 1861 |
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Page 18
... plane of section , and r the radius of the cylinder , the 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 ...
... plane of section , and r the radius of the cylinder , the 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 ...
Page 19
... plane passing through the axis of the cylinder with a cross circular section of the cylinder ACB . Then it is clear that the centre of gravity of the arc of the semicircle ACB I will be at the same distance from AB as the centre of ...
... plane passing through the axis of the cylinder with a cross circular section of the cylinder ACB . Then it is clear that the centre of gravity of the arc of the semicircle ACB I will be at the same distance from AB as the centre of ...
Page 21
... plane of the sphere , the 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 ...
... plane of the sphere , the 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 ...
Page 22
... plane of the sphere . Next , to find the resistance of the hollow sphere , let t be the thickness of metal ; then the section of the sphere which resists the pressure P being π ( r ' + t ) 2 — π r2 = π t ( 2 r + t ) , - * This ...
... plane of the sphere . Next , to find the resistance of the hollow sphere , let t be the thickness of metal ; then the section of the sphere which resists the pressure P being π ( r ' + t ) 2 — π r2 = π t ( 2 r + t ) , - * This ...
Page 27
... plane applied in the direction of the length of the solid , the intersection of this plane with the neutral surface is called the line or curve of invariable fibres , and the point in which the line of invariable fibres meets the ...
... plane applied in the direction of the length of the solid , the intersection of this plane with the neutral surface is called the line or curve of invariable fibres , and the point in which the line of invariable fibres meets the ...
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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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