DESIGN OF MACHINERY
6th Edition
ISBN: 9781260113310
Author: Norton
Publisher: RENT MCG
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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
undefined
02
04
A.
Non-scaled diagram; AB = 10, CD=r4 = 30 (output), all in mm
Draw the kinematic diagram of the following mechanism by labelling the links and the
joints and calculate its mobility / DOF.
Problem 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
04
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- Problem 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_forwardThe linkage in Figure P7-5b has 04A = O2A = 0.75 , AB = 1.5 , and AC = 1.2 in . The effective crank angle in the position shown is 77º and angle BAC = 30 ° . Find a3 , AA , AB , Ac for the position shown for m2 = 15 rad / sec and a2 = 10 rad / sec2 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 02 A 3 . B 02 02 Tarrow_forwardThe number of degrees of freedom of the linkage shown in the figure.arrow_forward
- You 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_forwardProblem 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.arrow_forward3-4 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_forward
- 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 jointsarrow_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_forwardUse number synthesis to determine all possible combinations for 10 links mechanism using full joints to have 3 DOF. You must use the following equations L = B + T + Q + PL – 3 – M = T + 2Q + 3Parrow_forward
- 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.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_forwardThe lengths of various links of a mechanism, as shown in Figure 2, are: OA = 0.3 m; AB = 1 m; CD = 0.8 m; and AC = CB. A upuu 45° Figure 2: Slider cranck mechanism Calculate the velocity of point C.arrow_forward
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