Design of Machinery
6th Edition
ISBN: 9781260431315
Author: Norton, Robert
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 3, Problem 3.35P
To determine
To find: Design a linkage that will give a symmetrical "kidney bean" shaped coupler curve as shown in Figure 3-16.
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Check out a sample textbook solutionStudents have asked these similar questions
1. Find a combination
of link lengths where motion of a point on output link is one
quarter of a circle.
2. Find the value of all 0, 0, 0, and y in open and close configuration
Read the value of link lengths and the input angle 8., then use the
formulae given below to calculate the value of unknowns 03, 0, and y
K₁ = = K₂= d
K2
K3
=
a²-b²+c²+d²
2ac
A = cos 0₂ - K₁ - K₂ cos 0₂ + K3
B = -2 sin 0₂
C = K₁ (K₂ + 1) cos 02 + K3
-B± √B²-4AC
2A
0412 = 2tan-1
d
K₁ = —
K5
=
c²d²a²-6²
2ab
D = cos 0₂ - K₁ - K4 cos 0₂ + K5
E = -2 sin 0₂
FK₁+ (K₁ - 1) cos 02 +K5
0312
2 tan-1
(-E±
-E± √E²4DF
2D
Y = 04-03
Problem 4-6a
The link lengths (a, b, c, d) and the value of 2 for a crank-rocker linkage are defined as
2, 7, 9, 6, 30°, respectively. Draw the scaled linkage. Find all possible solutions (both
open and crossed) for angles 03 and 04 graphically.
Орen
B
A
LNCS
4
a
GCS
र 4
4"
Crossed
(This is not the scaled kinematic diagram.)
Problem 4-7a
Repeat Problem 4-6a except solve by the vector loop method.
Draw the kinematic diagram of the following mechanism by labelling the links and the
joints and calculate its mobility / DOF.
Chapter 3 Solutions
Design of Machinery
Ch. 3 - Define the following examples as path, motion, or...Ch. 3 - Design a fourbar Grashof crank-rocker for 90 of...Ch. 3 - Prob. 3.3PCh. 3 - Design a fourbar mechanism to give the two...Ch. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - Repeat Problem 3-2 with a quick-return time ratio...Ch. 3 - Design a sixbar drag link quick-return linkage for...Ch. 3 - Design a crank-shaper quick-return mechanism for a...Ch. 3 - Find the two cognates of the linkage in Figure...
Ch. 3 - Find the three equivalent geared fivebar linkages...Ch. 3 - Design a sixbar single-dwell linkage for a dwell...Ch. 3 - Design a sixbar double-dwell linkage for a dwell...Ch. 3 - Figure P3-3 shows a treadle-operated grinding...Ch. 3 - Figure P3-4 shows a non-Grashof fourbar linkage...Ch. 3 - Prob. 3.16PCh. 3 - Prob. 3.17PCh. 3 - Prob. 3.18PCh. 3 - Design a pin-jointed linkage that will guide the...Ch. 3 - Figure P3-6 shows a V-link off-loading mechanism...Ch. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Figure P3-8 shows a fourbar linkage used in a...Ch. 3 - Prob. 3.24PCh. 3 - Prob. 3.25PCh. 3 - Prob. 3.26PCh. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - Prob. 3.29PCh. 3 - Prob. 3.30PCh. 3 - Design a Hoeken straight-line linkage to give...Ch. 3 - Design a Hoeken straight-line linkage to give...Ch. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - Prob. 3.35PCh. 3 - Find the Grashof condition, inversion, any limit...Ch. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Draw the Roberts diagram and find the cognates of...Ch. 3 - Prob. 3.41PCh. 3 - Find the Grashof condition, any limit positions,...Ch. 3 - Prob. 3.43PCh. 3 - Prob. 3.44PCh. 3 - Prob. 3.45PCh. 3 - Prob. 3.46PCh. 3 - Prob. 3.47PCh. 3 - Prob. 3.48PCh. 3 - Prob. 3.49PCh. 3 - Prob. 3.50PCh. 3 - Prob. 3.51PCh. 3 - Prob. 3.52PCh. 3 - Prob. 3.53PCh. 3 - Prob. 3.54PCh. 3 - Prob. 3.55PCh. 3 - Prob. 3.56PCh. 3 - Prob. 3.57PCh. 3 - Prob. 3.58PCh. 3 - Prob. 3.59PCh. 3 - Prob. 3.60PCh. 3 - Prob. 3.61PCh. 3 - Prob. 3.62PCh. 3 - Prob. 3.63PCh. 3 - Prob. 3.64PCh. 3 - Prob. 3.65PCh. 3 - Prob. 3.66PCh. 3 - Design a fourbar Grashof crank-rocker for 120 of...Ch. 3 - Prob. 3.68PCh. 3 - Design a fourbar Grashof crank-rocker for 80 of...Ch. 3 - Design a sixbar drag link quick-return linkage for...Ch. 3 - Design a crank shaper quick-return mechanism for a...Ch. 3 - Design a sixbar, single-dwell linkage for a dwell...Ch. 3 - Design a sixbar, single-dwell linkage for a dwell...Ch. 3 - Prob. 3.74PCh. 3 - Using the method of Example 3-11, show that the...Ch. 3 - Prob. 3.76PCh. 3 - Prob. 3.77PCh. 3 - Prob. 3.78PCh. 3 - The first set of 10 coupler curves on page 1 of...Ch. 3 - Prob. 3.80PCh. 3 - Prob. 3.81PCh. 3 - Prob. 3.82PCh. 3 - Prob. 3.83PCh. 3 - Prob. 3.84PCh. 3 - Prob. 3.85PCh. 3 - Prob. 3.86PCh. 3 - Prob. 3.87PCh. 3 - The side view of the upper section of a...Ch. 3 - Design a fourbar mechanism to give the three...Ch. 3 - Design a fourbar mechanism to give the three...Ch. 3 - Design a fourbar Grashof crank-rocker for 60...Ch. 3 - Design a crank-shaper quick-return mechanism for a...Ch. 3 - Figure P3-22 shows a non-Grashof fourbar linkage...Ch. 3 - Prob. 3.94PCh. 3 - Design a fourbar Grashof crank-rocker for 80...Ch. 3 - Design a sixbar drag link quick-return linkage for...
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- 3-4 Design a fourbar mechanism to give the two positions shown in Figure P3-1 of coupler motion. (See Example 3-3, p. 105.) Build a model and determine the toggle positions and the minimum transmission angle from the model. Add a driver dyad. 2.409 2.656 B2 0.751 0.470 1.750 A2 B. 1.721 FIGURE P3-1arrow_forwardThe link lengths and the value of 2 and offset for some fourbar crank-slide linkages are defined in Table 1. The linkage configuration and terminology are shown in Figure 1. For the rows assigned, find (a) all possible solutions for angle and slider position d by vector loop method. (b) the transmission angle corresponding to angle 83. (Hint: Treat the vector R4 as virtual rocker) Show your work in details: vector loop, vector equations, solution procedure. Table 1 Row a b с offset 02 Link 2 1.4 3 5 A R2 0₂ Link 3 4 8 20 slider axis. R3 Link 3 R₂ d R₁ Figure 1. 0₁ Offset 1 2 -5 С B R4 T 84 X Q2 45° -30° 225°arrow_forwardYou are given a set of three links with lengths 2.4 in, 7.2 in, and 3.4 in. Select the length of a fourth link and assemble a linkage that can be driven by a continuous-rotation motor. Is your linkage a Grashof class I or nonGrashof class2 linkage? (Show your work.) Is it a crank-rocker, double- rocker, or double-crank linkage? Why?arrow_forward
- Sketch the kinematic diagram and calculate the mobility of all the linkages (Degrees of Freedom). Are there any assumptions if any.arrow_forwardWrite and draw the following grashof's criterion and kind of grashof's four-bar mechanism such as; 1. Crank-rocker mechanism; 2. Drag link mechanism; 3. Double rocker mechanism; 4. Crossover-position or charge-point mechanism; 5 Triple rocker mechanism (non-grashof). Use technical Pen for the following: 0.2(light -for linkages and hand writing), 0.4(medium - for joints), 0.6(heavy - for fixed link or frames) use 2-4-4 template, all caps, italicized.arrow_forwardA general fourbar linkage configuration and its notation are shown in Figure below. The link lengths, coupler point location, and the values of 02 and w2 for the same fourbar linkages as used for position analysis in Chapter 4 are redefined in Table below. For the row c, draw the linkage to scale and Using an analytical method calculate w3 and w4 and find the velocity of point P. find the velocities of the pin joints A and. RPA Y B 4 03 04 02 1 02 FIGURE P6-1 Configuration and terminology for the pin-jointed fourbar linkage of Problems 6-4 to 6-5 TABLE P6-1 Data for Problems 6-4 to 6-5† Row Link 1 Link 2 Link 3 Link 4 02 Rpa 83 02 a 2 7 9. 30 10 30 7 9. 8 85 -12 9 25 3 10 8 45 -15 10 80arrow_forward
- A general fourbar linkage configuration and its notation are shown in Figure below. The link lengths, coupler point location, and the values of 02 and w2 for the same fourbar linkages as used for position analysis in Chapter 4 are redefined in Table below. For the row c, draw the linkage to scale and Using an analytical method calculate w3 and w4 and find the velocity of point P. find the velocities of the pin joints A and. RPA AY 2 04 02 04 FIGURE P6-1 Configuration and terminology for the pin-Jointed fourbar linkage of Problems 6-4 to 6-5 TABLE P6-1 Data for Problems 6-4 to 6-5† Row Link 1 Link 2 Link 3 Link 4 02 02 Rpa 83 6. 2 7 30 10 6. 30 b. 9 3 8 85 -12 9. 25 10 6. 8 45 -15 10 80 O73arrow_forwardDesign a fourbar linkage for a windshield wiper mechanism such that the wiper blade moves between the two positions (CD, C'D') spending equal time back and forth. The ground link to which the crank is attached must be located within the shaded region shown on bottom right. Verify that the linkage is Grashof.arrow_forwardCreate 2 fourbar linkage designs (with moveable pivots at C and D) to move link CD from location C1D1 to C2D2) with COUPLER output. (SHOW DRAWING AND ACTUAL DESIGN) (Please follow dimensions below)arrow_forward
- The number of degrees of freedom of the linkage shown in the figure.arrow_forwardDesign a crank-rocker linkage that will move the rocker link between two extreme positions 45 degrees apart. The rocker should take twice the time to moving in one direction that it takes moving in the other. If the fourbar linkage designed above is non-grashof, list two ways in which you would alter the design so that the crank is able to rotate.arrow_forwardProblem 2 The linkage in Figure P7-5b has O,A = O2A = 0.75, AB= 1.5, and AC = 1.2 in. The effective crank angle in the position shown is 77° and angle BAC = 30°. Find a3, A4, AB,Ac for the position shown for @2 = 15 rad/sec and a2 = 10 rad/sec in the directions shown using an analytical method. (Hint: Create an effective linkage for the position shown and analyze it as a pin-jointed fourbar.)the linkage has a parallelogram form Assume rolling contact C @2 A 3 В a2 2 4 04arrow_forward
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