Balancing of Engines, Steam, Gas, and Petrol; An Elementary Text-Book, Using Principally Graphical Methods, for the Use of Students, Draughtsmen, Designers, and Buyers of Engines. with Numerous Tables and Diagrams

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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1907 edition. Excerpt: ...of rotation. That is-= (1) In some positions of the crank the point J will move off the paper, so the relation (1) cannot always be used. Draw OZ at right angles to the line of stroke, and let the connectingrod, produced if necessary, cut OZ at Z, then evidently the triangles JPC and OPZ are similar, and therefore their corresponding sides are proportional; therefore JC OZ V OZ, 0-, JP = OFand v = OP r V = OP OZ-(2) Therefore, from (2), if v the speed of the crank-pin is constant, since OP is of constant length, the velocity of the cross-head is proportional to the intercept OZ. (2) True Acceleration of Cross-head--Klein's Graphical Method.--Let OP and PC be the crank and connectingrod in any position (Fig. 2), the cross-head C reciprocating along the line OC. From O draw OZ at right angles to CO, to cut the axis of the connecting-rod (produced if necessary) at Z. With centre P and radius PZ draw a circle, and on CP as diameter draw a circle. Draw the common chord AB of the two circles, and let it cut OC (produced if necessary) Fig. 2. at F. Then FO represents the acceleration of the cross-head C to the same scale that PO represents the radial acceleration wV of the crank-pin P., Proof.--The motion of the connecting-rod at any instant may be resolved into two component motions: (a) a motion of translation, like that of the coupling-rod of a locomotive, the velocities of all points on the rod being the same as that of the crank-pin; (.6) a motion of oscillation about the crankpin P as centre. Let AB cut CP at D. Draw OE perpendicular to CP, meeting it (produced if necessary) at E. Find the instantaneous centre of rotation J of the connecting-rod, by drawing C J at right angles to OC, and producing OP to cut CJ at J. Join PA and AC. If v is the...show more

Product details

• Paperback | 48 pages
• 189 x 246 x 3mm | 104g
• United States
• English
• black & white illustrations
• 1236504712
• 9781236504715