DESIGN OF MACHINERY
6th Edition
ISBN: 9781260113310
Author: Norton
Publisher: RENT MCG
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Chapter 3, Problem 3.21P
To determine
To find:using Figure P3-7 (walking-beam transport
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For the walking-beam mechanism of Figure P4-9, calculate and plot the xand y components of the position of the coupler point P for one complete revolution of the crank O2A. Hint: Calculate them first with respect to the ground link O204 and then transform them into the global XY coordinate system (i.e., horizontal and vertical in the figure). Scale the figure for any additional information needed
Figure 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
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02
04
A.
Non-scaled diagram; AB = 10, CD=r4 = 30 (output), all in mm
Problem 2 The linkage in Figure P7-5b has o4A = 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, AA, AB, Ac for the position shown for w2 = 15 rad/sec and a2 = 10 rad/sec^2 in the directions shown using an analytic 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
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
- Consider the 2-position design problem depicted below. The mechanism is GRCR. The linklengths and the positions of anchor points O1 and O2 are provided.a. Do any toggle positions exist between configurations CD and C’D’ that would prevent themechanism from completing the motion? If so, at what angle(s) of θ do they occur?b. Find new values for the coordinates (X,Y) of O2 that would enable the mechanism to bedriven by a driver dyad attached to link O1C, e.g., point B.c. What are the coordinates (X,Y) of O2 closest to the origin for which the mechanism canstill be driven by a driver dyad attached to link O1C, e.g., point B, as in part b?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_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_forward
- Sketch 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_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_forwardQuestion 4: For the following robotic ann. Draw the graphical representation and Establish DH method to find table of link parameters only. Assume links dimension and any required issue. Axis A Axis Barrow_forward
- 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 = 04-03arrow_forwardPlot 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 OParrow_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_forwardA offset crank-slider mechanism is used in a conveyor loading device. Find the coupler 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: 110 mm below and 147 mm to right of A (Note: BDC=Bottom-Dead-Center) - Stroke: 54 mm along a 48° incline (This direction: /. Not this direction: \)arrow_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_forward
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