DESIGN OF MACHINERY
6th Edition
ISBN: 9781260113310
Author: Norton
Publisher: RENT MCG
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Textbook Question
Chapter 3, Problem 3.20P
Figure P3-6 shows a “V-link” off-loading
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Problem 4-6a
The link lengths (a, b, c, d) and the value of 62 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.
Open
B
3
A
LNCS
4
04
GCS
O4
Crossed
(This is not the scaled kinematic diagram.)
Problem 4-7a
Repeat Problem 4-6a except solve by the vector loop method.
Problem 4-14a
Find the worst value of the transmission angle for a crank-rocker linkage with link
lengths (a, b, c, d) of 2, 7, 9, 6, respectively.
Figure Q2-2 shows a schematic of a retractable landing gear of aircraft.
The retraction mechanism is a 4 bar linkage (O1ABO2), which is actuated
by a hydraulic cylinder and piston, D, pivoted at E with a joint at C to link
O,A.
Hydraulic cylinder
& piston D
Joint for landing
gear wheel
Figure Q2-2
Use the Gruebler's equation of DoF (Degrees of Freedom) of a
linkage mechanism to assess if the landing gear produces the
required retraction motion. 0,02 may be considered as the ground
link.
i)
Hint: The joint of the wheel is not part of the linkage mechanism.
The number of DoF may be used to check if it is a linkage with
certain motions or a fixed structure.
ii)
The dimensions of the 4 bar linkage (O1ABO2) are measured as
O102 = 800 mm, O1A = 780 mm, AB = 200 mm and O2B = 400
mm. Use Grashof condition to determine the specific type of this
linkage.
You may find the Gruebler's equation useful:
M = 3(L – 1) – 2J
where, M is degree of freedom (DoF)
L is number of links
J is number of joints
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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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 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 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_forwardProblem 4-9a The link lengths and offset (a, b, c) and the value of 02 for an offset crank-slider linkage are defined as 1.4 in, 4 in, 1 in, 45°, respectively. Draw the scaled linkage and graphically find all possible solutions (both open and crossed) for angle 0z and slide position d. - slider axis B R3 A R4 offset R, 04 02 (This is not the scaled kinematic diagram.) Problem 4-10a Repeat Problem 4-9a except solve by the vector loop method.arrow_forward
- Draw the kinematic diagram of the following mechanism by labelling the links and the joints and calculate its mobility / DOF.arrow_forwardProblem 4-15h Find the input angles (02) corresponding to the toggle positions of a non-Grashof double- rocker linkage with link lengths (a, b, c, d) of 10, 10, 10, 20, respectively.arrow_forwardSketch a planar linkage that has the ability to pick up a small ball and move it from one location to another using hinge joint. The sketch of the planar linkage should be able to operate in at least 3 degrees of freedom: rotation along pitch and yaw, and translation through the center of motion.arrow_forward
- In the below figure a Double-parallelogram mechanism is shown. Here PQ is a single link. Calculate the mobility of the mechanism?arrow_forward1. 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 = 04-03arrow_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
- need help with problem 4-22 pleasearrow_forwardA offset crank-slider mechanism is used in a conveyor loading device. Find the crank length in mm required to generate this motion. Use the design parameters specified below. (Note: A is the crank pivot; C is the coupler-slider joint; B is the coupler-crank joint). - CBDC: 107 mm below and 140 mm to right of A (Note: BDC=Bottom-Dead-Center) - Stroke: 52 mm along a 42° incline (This direction: /. Not this direction: \)arrow_forwardIn a four-bar mechanism ABCD, the fixed link AD is 100 mm, input link AB is 55 mm, coupler BC is 80 mm and the follower CD is 90 mm. Prove that the kinematic chain make crank rocker mechanism. With neat sketch briefly explain how will you convert it into double crank mechanism and double rocker mechanism?arrow_forward
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