The Mechanics of Construction, EtcDughton, Bull & Company, 1861 |
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Page 2
... ensue , this proportion between the forces which strain bodies and their effects , ceases to hold ; and , consequently , it is to be expected that the formulæ of solution then give results contrary to 2 INTRODUCTORY REMARKS .
... ensue , this proportion between the forces which strain bodies and their effects , ceases to hold ; and , consequently , it is to be expected that the formulæ of solution then give results contrary to 2 INTRODUCTORY REMARKS .
Page 4
... consequently its reaction , without dis- turbing the equilibrium . This is a proposition , the truth of which results clearly from acquired experience . Now this pressure exerted at the middle of the load is arbitrary in certain limits ...
... consequently its reaction , without dis- turbing the equilibrium . This is a proposition , the truth of which results clearly from acquired experience . Now this pressure exerted at the middle of the load is arbitrary in certain limits ...
Page 22
... consequently , = x1 = { r , * ( 4 ) . This is the whole pressure at right angles to a diametral 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 ...
... consequently , = x1 = { r , * ( 4 ) . This is the whole pressure at right angles to a diametral 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 ...
Page 30
... law of the transverse strain , conceived the lower edge of the beam to be the neutral axis , and consequently each fibre to be exerting its whole strength . Hodgkinson upon cast and wrought iron show that up to 30 RESISTANCE TO FLEXURE .
... law of the transverse strain , conceived the lower edge of the beam to be the neutral axis , and consequently each fibre to be exerting its whole strength . Hodgkinson upon cast and wrought iron show that up to 30 RESISTANCE TO FLEXURE .
Page 38
... consequently ( 1 ) becomes x + h Εωλ . h and therefore calling S the pressure per unit of surface of the fibre at M , we have δω ω = Εωλ x + h h x + h or S EX h ( 2 ) ; an equation applicable to all the fibres of the section HK . Hence ...
... consequently ( 1 ) becomes x + h Εωλ . h and therefore calling S the pressure per unit of surface of the fibre at M , we have δω ω = Εωλ x + h h x + h or S EX h ( 2 ) ; an equation applicable to all the fibres of the section HK . Hence ...
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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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