3. Two shafts 30 in. apart, each carrying a four-step pulley, are to be connected by an open belt. The driving shaft is to turn 150 rpm while the driven shaft is to turn 50, 150, 250, and 600 rpm. The smallest step of the dover is 10 in, in diameter. Find the diameters of all the steps.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.2.12P: A small lab scale has a rigid L-shaped frame ABC consisting of a horizontal aim AB (length b = 30...
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3. Two shafts 30 in. apart, each carrying a four-step pulley, are to be connected by
shaft is to turn 150 rpm while the driven shaft is to turn 50, 150, 250, and 600 rpm. The smallest step of the
daver is 10 in. in diameter. Find the diameters of all the steps.
an open belt. The driving
Given:
Solution:
C= 30 in.
Na = 150 rpm
N2 = 50 rpm
N = 150 rpm
N = 250 rpm
Ng = 600 rpm
N,D =N,D,
150(10) = 50 (D,)
D2 = 30 in.
Lo = (D, + D2) + 2C + (D2
D,)?
Lo = (10 + 30) + 2(30) +
4(30)
(30 – 10)²
D = 10 in.
Required:
D; , D2, D, , D4 , D, , D, , D7 , D;
Lo = 126.1652 in.
Transcribed Image Text:3. Two shafts 30 in. apart, each carrying a four-step pulley, are to be connected by shaft is to turn 150 rpm while the driven shaft is to turn 50, 150, 250, and 600 rpm. The smallest step of the daver is 10 in. in diameter. Find the diameters of all the steps. an open belt. The driving Given: Solution: C= 30 in. Na = 150 rpm N2 = 50 rpm N = 150 rpm N = 250 rpm Ng = 600 rpm N,D =N,D, 150(10) = 50 (D,) D2 = 30 in. Lo = (D, + D2) + 2C + (D2 D,)? Lo = (10 + 30) + 2(30) + 4(30) (30 – 10)² D = 10 in. Required: D; , D2, D, , D4 , D, , D, , D7 , D; Lo = 126.1652 in.
3. Two shafts 30 in. apart, each carrying a four-step pulley, are to be connected by an open belt. The driving
shaft is to turn 150 rpm while the driven shaft is to turn 50, 150, 250, and 600 rpm. The smallest step of the
daver is 10 in. in diameter. Find the diameters of all the steps.
Solution
(Ds + D6) + 2C + (D; - D6)? = 126.1652
(D, + D3) + 2C + – (D4 – D3)² = 126.1652
4C
2
40
N;D; = N,D,
150D, = 250D,
D, = (3/5)(D;)
N;D; = N,D,
150D, = 150D4
D; = D,
%3D
D3 = D, = 21.061 in.
D; = 25.9685 in.
D = 15.5811 in.
%3D
(D, + Da) + 2C + (D, - Da)? = 126.1652
N;D, = NºD8
D, = 31.3512 in.
%3D
150D, = 600DS
D, = 4Ds
D3 = 7.8378 in.
%3D
%3D
Transcribed Image Text:3. Two shafts 30 in. apart, each carrying a four-step pulley, are to be connected by an open belt. The driving shaft is to turn 150 rpm while the driven shaft is to turn 50, 150, 250, and 600 rpm. The smallest step of the daver is 10 in. in diameter. Find the diameters of all the steps. Solution (Ds + D6) + 2C + (D; - D6)? = 126.1652 (D, + D3) + 2C + – (D4 – D3)² = 126.1652 4C 2 40 N;D; = N,D, 150D, = 250D, D, = (3/5)(D;) N;D; = N,D, 150D, = 150D4 D; = D, %3D D3 = D, = 21.061 in. D; = 25.9685 in. D = 15.5811 in. %3D (D, + Da) + 2C + (D, - Da)? = 126.1652 N;D, = NºD8 D, = 31.3512 in. %3D 150D, = 600DS D, = 4Ds D3 = 7.8378 in. %3D %3D
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