The document discusses slider-crank mechanisms and their position analysis. It describes inline and offset slider-crank mechanisms and whether the crank or slider acts as the input link. It states that the problem involves computing the slider's position and an angle given the mechanism's link lengths, the slider's offset, and an input angle. Additionally, it covers inverted slider-cranks, four-bar mechanisms, and linkages with more than four bars, deriving equations for gear ratios and phase angles.

1. Position Analysis
Muhammad Usama Yousuf
Lecturer Mechanical Department
Abasyn University Islamabad.

2. Slider Crank Mechanism
• It converts between translation motion and
rotation motion of mechanism
• Inline Slider Crank Mechanism
• Offset Slider Crank Mechanism

3. Slider Crank Mechanism
• Crank Slider Mechanism
• Crank is Input Link
• Slider Crank Mechanism
• Slider in Input Link

4. Problem Statement: Slider-Crank
Position Analysis
• Given the Length (a, b), the offset of the slider c,
and the input angle θ2 ,Compute the position of
slider d, and angle θ3
•

5. Problem Statement: Slider-Crank
Position Analysis
• Given the Length (a, b), the offset of the slider c,
and the input angle θ2 ,Compute the position of
slider d, and angle θ3

6. Problem Statement: Slider-Crank
Position Analysis
• Given the Length (a, b), the offset of the slider c,
and the input angle θ2 ,Compute the position of
slider d, and angle θ3

9. Slider Crank Mechanism

10. Slider Crank Mechanism

11. What if the slider is the driver

12. What if the slider is the driver

13. Example

14. Inverted Slider Crank

15. Inverted Slider Crank

16. Inverted Slider Crank

17. Inverted Slider Crank

18. Inverted Slider Crank

19. Inverted Slider Crank

20. Inverted Slider Crank

21. Inverted Slider Crank

22. Inverted Slider Crank

23. Inverted Slider Crank

24. Inverted Slider Crank

26. Recap of four bar mechanism

27. Recap of four bar mechanism

28. Recap of four bar mechanism

29. Linkages more than four bar

30. Linkages more than four bar

31. Linkages more than four bar
• Vector Loop Equation
• Here ƛ is Gear ratio
• Ɵ is phase angle of 5th link

32. Linkages more than four bar

33. Linkages more than four bar

34. Linkages more than four bar

35. Linkages more than four bar