{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

ch06 - Solutions to Chapter 6 Exercise Problems Problem 6.1...

Info icon This preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
- 222 - Solutions to Chapter 6 Exercise Problems Problem 6.1 : Design a double rocker, four-bar linkage so that the base link is 2-in and the output rocker is 1-in long. The input link turns counterclockwise 60 ˚ when the output link turns clockwise through 90 ˚ . The initial angle for the input link is 30 ˚ counterclockwise from the horizontal, and the initial angle for the output link is -45 ˚ . The geometry is indicated in the figure. A 1 B 1 O 2 A 2 B 2 O 4 90 ˚ 45 ˚ 30 ˚ 60 ˚ Solution: Invert the motion and solve the problem graphically. Draw a line from O 2 to B 2 and rotate it clockwise 60 ˚ to locate the position of B' 2 . Draw the perpendicular bisector of B' 2 B 1 and locate the intersection of that line with the line O 2 A 1 . This will locate A 1 . The solution is given in the first figure. Measure the lengths os 0 2 A 1 and A 1 B 1 . This gives the linkage shown in the second figure. The link lengths are: r 1 = 6" r 2 = 3.72" r 3 = 7.29" r 4 = 4"
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
- 223 - A 1 B 1 O 2 A 2 B 2 O 4 90 ˚ 45 ˚ 30 ˚ 60 ˚ B' 2 Basic Construction A 1 B 1 O 2 B 2 O 4 90 ˚ 45 ˚ 30 ˚ B' 2 r 1 r 2 r 3 r 4 A 2 Final Linkage
Image of page 2
- 224 - Problem 6.2 : Design a double rocker, four-bar linkage so that the base link is 4-in and the output rocker is 2-in long. The input link turns counterclockwise 40 ˚ when the output link turns counterclockwise through 80 ˚ . The initial angle for the input link is 20 ˚ counterclockwise from the horizontal, and the initial angle for the output link is 25 ˚ . The geometry is indicated in the figure. A 1 B 1 O 2 A 2 B 2 O 4 80 ˚ 25 ˚ 20 ˚ 60 ˚ Solution Invert the motion and solve the problem graphically. Draw a line from O 2 to B 2 and rotate it clockwise 60 ˚ to locate the position of B' 2 . Draw the perpendicular bisector of B' 2 B 1 and locate the intersection of that line with the line O 2 A 1 . This will locate A 1 . The solution is given in the first figure. Measure the lengths os 0 2 A 1 and A 1 B 1 . This gives the linkage shown in the second figure. The link lengths are: r 1 = 4" r 2 = 2.77" r 3 = 3.21" r 4 = 2"
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
- 225 - Basic Construction Final Linkage Problem 6.3 : In a back hoe, a four-bar linkage is added at the bucket in part to amplify the motion that can be achieved by the hydraulic cylinder attached to the link that rotates the bucket as shown in the figure. Design the link attached to the bucket and the coupler if the frame link is 13-in and the input link is 12-in long. The input link driven by the hydraulic cylinder rotates through an angle of 80 ˚ and the output link rotates through an angle of 120 ˚ . From the figure, determine reasonable angles for the starting angles ( ± 0 and ² 0 ) for both of the rockers.
Image of page 4
- 226 - Solution Determine reasonable starting angles for each crank relative to the beam member. Use 40 ˚ for the input rocker and 70 ˚ for the output rocker. This is shown in the figure.
Image of page 5

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern