DESIGN OF MACHINERY-CONNECT ACCESS
6th Edition
ISBN: 9781260431261
Author: Norton
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3, Problem 3.32P
Design a Hoeken straight-line linkage to give minimum error in straightness over 39% of the cycle for a 20-cm-long straight-line motion. Specify all linkage parameters.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The 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°
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
Plot the path of point P for: (a) inverted slider-crank linkage; (b) second
inversion of the slider-crank linkage; (c) Scott-Russell straight-line linkage;
and (d) drag-link linkage.
(a)
B
3
4
P
4
X
(b)
(d)
y
Ba
B
3
TO
X
X
OP
Chapter 3 Solutions
DESIGN OF MACHINERY-CONNECT ACCESS
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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Design linkages per the requirements below. Remember ground is also a link with the number of anchor points determining the type of link it is (i.e. binary, ternary, etc.). In each case, draw a clean kinematic diagram followed by a mobility calcula- tion verifying the design requirement:arrow_forwardPosition Analysis of the crank-slider linkage. The link length and offset for a fourbar slider-crank linkage are: link 2= 3.5, link3= 10, offset=1. Find both open and crossed solutions for angle theta3 and slider position, d, as driver makes a complete revolution.construct graphs to describe how the slider and theta3 varies as theta2 makes the entire revolution.arrow_forwardWhen the driver is moving clockwise, find the magnitude of the velocity of point C in terms ofvelocity A using any of the methodsarrow_forward
- Sketch the kinematic diagram and calculate the mobility of all the linkages (Degrees of Freedom). Are there any assumptions if any.arrow_forwardProblem 4: A four bar linkage is shown below with crank Q2A, 1 foot long and crank 2 rotates clockwise with an instantaneous angular velocity of 152.79 rpm. The rest of the members are drawn to scale. Solve for the Velocity of point A and find the velocities of B, C, D, E and F using RESOLUTION AND COMPOSITION METHOD only! Ks = 1 inch : 1 foot Kv = 1 inch : 16 fpsarrow_forwardjustt using the rule attached plss i need her all slovingarrow_forward
- You have available a set of eight links from which you are to design a four-bar linkage. Choose the links such that the linkage can be driven by a continuous-rotation motor. Sketch the linkage and identify the type of four-bar mechanism resulting. L1= 2", L2=3", L3 = 4”, L4 = 6", L5=7", L6= 9.5", L7 = 13", and L8 = 9"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_forwardFigure below shows a four-bar linkage (non-scaled diagram) at an instant. The input angle is equal to the output angle (02 - 04) and the transmission angle is 30°. The input link is extended beyond joint B and an input force (Fin) is applied at the end of it, while an output force is drawn from the midpoint of the output link. If an output force of 30 N is desired from an input force of 10 N, how far the input link should be extended, i.e., what is the distance from point B to the point where Fin is applied. Fin B out undefined 02 04 A. Non-scaled diagram; AB = 10, CD=r4 = 30 (output), all in mmarrow_forward
- Solve and Draw the following:arrow_forwardProblem 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.arrow_forwardi need to solve part b pls quickk very urgent part (a) is solvedarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY