The Mechanics of Construction, EtcDughton, Bull & Company, 1861 |
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Page 28
... supposed to be indefinitely near to each other , OG or OL will denote the radius of curvature of the line of neutral fibres at the point G. * Equilibrium being established between the straining force P and the interior forces brought ...
... supposed to be indefinitely near to each other , OG or OL will denote the radius of curvature of the line of neutral fibres at the point G. * Equilibrium being established between the straining force P and the interior forces brought ...
Page 30
... supposed the force required to extend or compress a fibre exactly proportional to the quantity of extension or compression . This hypothesis is not true when the load approaches that which would produce dislocation or rupture , but it ...
... supposed the force required to extend or compress a fibre exactly proportional to the quantity of extension or compression . This hypothesis is not true when the load approaches that which would produce dislocation or rupture , but it ...
Page 36
... supposed to act in any direction whatever in the longitudinal plane which divides the solid into two symmetrical portions , or in general into two portions which are approximate- ly symmetrical . Let C be the centre of gravity P of the ...
... supposed to act in any direction whatever in the longitudinal plane which divides the solid into two symmetrical portions , or in general into two portions which are approximate- ly symmetrical . Let C be the centre of gravity P of the ...
Page 40
... supposed to be fixed , by a quantity represented by d , which quantity is the same for all the points of the sliding section . An element w of the sliding section passing into w ' , will tend , by virtue of the elasticity of the body ...
... supposed to be fixed , by a quantity represented by d , which quantity is the same for all the points of the sliding section . An element w of the sliding section passing into w ' , will tend , by virtue of the elasticity of the body ...
Page 46
... supposed to act at D , and w ' at E. Wherefore the moment of the strain on C produced by w is by the preceding proposition w . AD . BC AB Ww AC . BC = · 2 AB and the moment of the strain on the same point produced by w ' is w ' AC . BC ...
... supposed to act at D , and w ' at E. Wherefore the moment of the strain on C produced by w is by the preceding proposition w . AD . BC AB Ww AC . BC = · 2 AB and the moment of the strain on the same point produced by w ' is w ' AC . BC ...
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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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