The Mechanics of Construction, EtcDughton, Bull & Company, 1861 |
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Page x
... Moment of resistance to the transverse strain Moment of inertia of section . 31 32 33 བ ལ = ེ ླ ོ 34 Resistance to flexure in general . Resistance to sliding or shearing .. Section 2 . 36 40 Coefficients of absolute strength in flexion ...
... Moment of resistance to the transverse strain Moment of inertia of section . 31 32 33 བ ལ = ེ ླ ོ 34 Resistance to flexure in general . Resistance to sliding or shearing .. Section 2 . 36 40 Coefficients of absolute strength in flexion ...
Page 19
... moment of an element ds of the semicircle about A B as an axis of moments is x ds , B Fig . 1 . " and the sum of the moments of all the elements of the semicircle about the same axis is Sæ á ds , between the limits = r and x = o ...
... moment of an element ds of the semicircle about A B as an axis of moments is x ds , B Fig . 1 . " and the sum of the moments of all the elements of the semicircle about the same axis is Sæ á ds , between the limits = r and x = o ...
Page 31
... the relation between the parts into which a cross section of a beam is divided by the neutral axis and the forces of extension and compression . 22. MOMENT OF RESISTANCE TO THE TRANSVERSE STRAIN . In RESISTANCE TO FLEXURE . 31.
... the relation between the parts into which a cross section of a beam is divided by the neutral axis and the forces of extension and compression . 22. MOMENT OF RESISTANCE TO THE TRANSVERSE STRAIN . In RESISTANCE TO FLEXURE . 31.
Page 32
... 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 between the moment of P and the sum of the moments of 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 between the moment of P and the sum of the moments of the ...
Page 33
... moments of these forces . A similar result is obtained when the neutral axis does not pass through the centre of gravity of the section ; but this result involves two moments of inertia , the one for the section above , and the other ...
... moments of these forces . A similar result is obtained when the neutral axis does not pass through the centre of gravity of the section ; but this result involves two moments of inertia , the one for the section above , and the other ...
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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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