The Mechanics of Construction, EtcDughton, Bull & Company, 1861 |
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Page 7
... expression modulus of elasticity , which is a comparative term , is very convenient in calculation . It is sometimes convenient to express E , the modulus of elasticity , in another form . Let L be the original length of an elastic ...
... expression modulus of elasticity , which is a comparative term , is very convenient in calculation . It is sometimes convenient to express E , the modulus of elasticity , in another form . Let L be the original length of an elastic ...
Page 18
... expressions similar to that before which it is prefixed , for the half surface of the cylinder . Let I be the height of the cylinder , and x , the distance of the cutting plane from the centre of gravity of the half surface of the ...
... expressions similar to that before which it is prefixed , for the half surface of the cylinder . Let I be the height of the cylinder , and x , the distance of the cutting plane from the centre of gravity of the half surface of the ...
Page 19
Stephen Fenwick. Wherefore ( 2 ) becomes , by means of the last expression , P = рп Нх ; 2 r or since x1 = П P = 2prH . .... ( 4 ) . Lett be the thickness of sheet - iron of the cylinder ; then the section of the cylinder which resists ...
Stephen Fenwick. Wherefore ( 2 ) becomes , by means of the last expression , P = рп Нх ; 2 r or since x1 = П P = 2prH . .... ( 4 ) . Lett be the thickness of sheet - iron of the cylinder ; then the section of the cylinder which resists ...
Page 22
... expression is easily deduced thus : Let y be the radius of a circular slice of the sphere parallel to the diametral plane , and at a distance r from the centre ; then the convex surface of this elementary slice is a = 2πу . ds . Hence ...
... expression is easily deduced thus : Let y be the radius of a circular slice of the sphere parallel to the diametral plane , and at a distance r from the centre ; then the convex surface of this elementary slice is a = 2πу . ds . Hence ...
Page 32
... expression 12 ax2 + a2x22 + a ′′ x ′ + + · • .. ) is the moment of inertia of the section HK relative to the neutral axis of that section . Wherefore , denoting this expression by I , we have EI M = • ( 1 ) , r which is the relation ...
... expression 12 ax2 + a2x22 + a ′′ x ′ + + · • .. ) is the moment of inertia of the section HK relative to the neutral axis of that section . Wherefore , denoting this expression by I , we have EI M = • ( 1 ) , r which is the relation ...
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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 sinČ springing line stability straining force supported supposed surcharge thickness of pier tie-beam torsion trapezoid triangle vertical pressure weight Wherefore
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