Question

A two-cylinder locomotive has the following specification:

Reciprocating mass per cylinder = 306 kg, Crank Radius = 300 mm, Angle between cranks = 90°, Driving wheel

diameter = 1800 mm, Distance between cylinder centers = 650 mm, Distance between the driving wheel planes =

1550 mm.

Determine:

(i) The fraction of reciprocating masses to be balanced, if the hammer blow is not exceed 46 kN at 96.5 km/hr,

(ii) The variation in tractive effort,

(iii) The magnitude of swaying couple.​

Answer 1

Answer:

selected Sep 24, 2019 by Vikash Kumar Given: m = 300 kg ;r = 0.3 m ; D = 1.8 m or R = 0.9 m ; a = 0.65 m ; Hammer blow = 46 kN = 46 x 103 N ; v = 96.5 km/h = 26.8 m/s 1. Fraction of the reciprocating masses to be balanced Let c = Fraction of the reciprocating masses to be balanced, and B = Magnitude of balancing mass placed at each of the driving wheels at radius b. We know that the mass of the reciprocating parts to be balanced = c.m = 300 c kg (b) Position of cranks The position of planes of the wheels and cylinders is shown in Fig.(a), and the position of cranks is shown in Fig(b). Assuming the plane of wheel A as the reference plane, the data may be tabulated as -data-refer-cylinder-locomotive-with-cranks-reciprocating-cylinder-crank-radius

Now the couple polygon, to some suitable scale, may be drawn with the data given in Table (column 6), as shown in Fig.. The closing side of the polygon (vector c0) represents the balancing couple and is proportional to 1.55 B.b. From the couple polygon, 1.55 B.b = v((40.5c)2 + (99c) 2) = 107c We know that angular speed, 00=vIR = 26.8/0.9 = 29.8 rad/s Hammer blow, 46 x 103 = B.m2 .b = 69 c (29.8)2 = 61275 c c = 46 x 103/61275 = 0.751Read more on Sarthaks.com - https://www.sarthaks.com/491880/following-data-refer-cylinder-locomotive-with-cranks-reciprocating-cylinder-crank-radius

Variation in tr active effort We know that variation in tr active effort = ± v2(l-c)m .. 002.r = ±v 2(1-0.751) 300 29.8f 0.3 = 28 140 N = 28.14 kN Maximum swaying couple We know the maximum swaying couple Read more on Sarthaks.com - https://www.sarthaks.com/491880/following-data-refer-cylinder-locomotive-with-cranks-reciprocating-cylinder-crank-radius

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