DESIGN OF MACHINERY (LL) >C<
6th Edition
ISBN: 9781264001330
Author: Norton
Publisher: MCGRAW-HILL LEARNING SOLN.(CC)
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Chapter 3, Problem 3.95P
Design a fourbar Grashof crank-rocker for 80 degrees of output rocker motion with a quick-return time ratio of
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Design a four bar Grashof crank-rocker for 100° of output rocker motion with a quick-return
time ratio of 1:1.5.
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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.
Aim: To conduct a full kinematic analysis and calculate dynamic reaction forces in a linkage mechanism, calculate instantaneous torque, required to drive the mechanism and to present the results of the case study in a clear reporting format.
Introduction: Figure 1 shows a pumpjack operating at an oil well. Its representation as a linkage is also shown in Figure 1. The pumpjack is driven by a motor attached to crank OA. A constant torque T is applied to the crank and the crank rotates at a constant angular velocity ???. A force P is applied vertically downwards at the end of the walking beam BD, which has its centre of mass at point G.
To design the mechanism, a careful kinematic analysis of the mechanism needs to be conducted. To avoid mechanical failure and to provide adequate support to the mechanism, the engineer needs to analyse the reaction forces in the joints. Masses of links OA and AB are assumed to be smaller in comparison with the mass of BD and are ignored in the analysis.…
Chapter 3 Solutions
DESIGN OF MACHINERY (LL) >C<
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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- Design of Slider-Crank Mechanisms For Problems 5-11 through 5-18, design a slider-crank mechanism with a time ratio of Q, stroke of | AR4lmax and time per cycle of t. Use either the graphical or analytical method. Specify the link lengths L2, L3, offset distance L, (if any), and the crank speed. Q = 1; IARlmax = 0.9mm; t = 0.4 s. Q = 1.15; IAR4lmax = 1.2 in.; t = 0.014 s. Q = 1.20; IAR4lmax = 0.375 in.; t = 0.025 s.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_forwardfind average piston velocity in each direction ( between limiting positions) for an off-set slider crank mechanism. The crank length is 2". The connecting rod length is 4 " and the offset is 1". the crank speed is 3000 rpm CW.arrow_forward
- Design a variable stroke quick return mechanism with stroke ranges from 80mm to 220mm,fixed link is 110mm and time ratio is 2.arrow_forwardDesign a crank-rocker linkage that will move the rocker link between two extreme positions 45 degrees apart.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
- 4. Design a crank-rocker mechanism with a time ratio of Q=1.2, throw angle of A04|max=96 degrees, and time per cycle of t=0.3 sec. Find the imbalance angle, link lengths, and the crank speed. Also draw this mechanism.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_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_forward
- |design a simple piston-like crank-slider mechanism that looks similar to the Figure 4 (not to scale). The centre of the crank and the slider are aligned vertically to each other. It has already been determined that the crank radius (O2A) must be 25mm, while the slider block is in a square shape of 20 mm by 20 mm. The highest position of the slider (Hmax), which is the furthest vertical distance of the slider from the centre of the crank, must be 92 mm. Based on the given design parameters, your task is to determine the suitable couple length (AB) and the lowest position of the slider (Hmin). Your superior has asked you to present the results graphically. 20 Slider 10 20 H Crank O2 Figure 4arrow_forward3. Design a slider-crank mechanism with a time ratio of Q=1.25, stroke of AR4lmax=2.75 in., and time per cycle of t=0.6 sec. Find the imbalance angle, link lengths, and the crank speed.arrow_forwardMANUFACTURING COMPONENT DESI Calculate and classify mechanism for the four-bar linkage (Figure 2) with setting #1 to #5 either in theGrashof, non-Grasshof or special Grashof condition. Name the type of mechanism either in crack-rocker,double-crank or double-rocker.arrow_forward
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