# Applied mechanics: an elementary general introduction to the theory of structures and machines. With diagrams, illustrations, and examples (Google eBook)

Macmillan and co., 1895 - Compressed air - 630 pages

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Page 69 - I that is, the magnitude is proportional to the square of the distance of the point from the end A.
Page 165 - C be circles, this construction becomes that already considered when discussing the form of teeth for a wheel. This and the preceding method show clearly that the condition which the two profiles must always satisfy is that the common normal at the point of contact must always pass through the pitch point as already proved otherwise for the special case of wheel teeth. Not every pair of curves which satisfy the geometrical conditions could actually be used as profiles, either for centroids, or, in...
Page 312 - Ex. 11, p. 372.) 161. Beams of Uniform Strength. — A beam of uniform strength is one in which the maximum stress is the same on all sections. For beams of the same transverse section throughout this can only be the case when the bending moment is uniform, but, by properly varying the section, it is possible to satisfy the condition however the bending moment vary. For this purpose we have only to consider the equation which must now be satisfied at all sections.
Page 585 - Intensity. — The word STRESS has been adopted as a general term to comprehend various forces which are exerted between contiguous bodies, or parts of bodies, and which are distributed over the surface of contact of the masses between which they act.
Page 315 - Suppose the skin and plate deck of an iron vessel to have the following dimensions at the midship section, measured at the middle of the thickness of the plates. Find the position of the neutral axis and moment of resistance to bending. Breadth 48' and total depth 24', the bilges being quadrants of 12
Page 307 - The moment of inertia of an area about any axis is, therefore, determined by adding to the moment of inertia of the area about a parallel axis through the centre of gravity the product of the area into the square of the distance between the two axes. This theorem, together with previously quoted values of...
Page xx - What are the conditions of a science? and when may any subject be said to enter the scientific stage ? I suppose when the facts of it begin to resolve themselves into groups ; when phenomena are no longer isolated experiences, but appear in connection and order ; when, after certain antecedents, certain consequences are uniformly seen to follow ; when facts enough have been collected to furnish a basis for conjectural explanation, and when conjectures have so far ceased to be utterly vague, that...
Page 280 - ... carefully considered in the design. Suppose a crank which is rotating uniformly to be connected by a rod with a reciprocating piece such as a piston, but in the first instance let there be no steam admitted to the cylinder. When the piston is at the end of its stroke it is at rest, and has to be set in motion ; it consequently drags on the crank with a force which we have already investigated in Art. 109, p.
Page 591 - Force is an action between two bodies, either causing or tending to cause change in their relative rest or motion.
Page 87 - ... deep without a diagonal brace. The beam is loaded with 5 tons placed immediately over one of the vertical struts. Find the shearing force and bending moment at any point of the beam, supposing it jointed at the centre and the centre only. The thrust on each strut must be 2J tons ; therefore, curves of shearing force and bending moment for each half of the beam are the same as those for a beam 12 feet long loaded at a point 4 feet from one end with 2J tons. The problem should also be treated by...