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ENGI 1313 Mechanics I

ENGI 1313 Mechanics I . Lecture 33: Frames and Machines. Chapter 33 Objectives. to illustrate the analysis of frames and machines by example. Example 33-01.

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ENGI 1313 Mechanics I

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  1. ENGI 1313 Mechanics I Lecture 33: Frames and Machines

  2. Chapter 33 Objectives • to illustrate the analysis of frames and machines by example

  3. Example 33-01 • The compound beam is pin supported at B and supported by rockers at A and C. There is a hinge (pin) at D. Determine the reactions at the supports.

  4. Example 33-01 (cont.) • What FBD to Analyze? • Member DC 7kN Dx Dy Cy 16kN 6kN Bx Dx Dy By Ay

  5. 7kN Dy Cy 16kN 6kN Bx Dx Dy By Ay Example 33-01 (cont.) • Member DC Dx

  6. 7kN Dy Cy 16kN 6kN Bx Dx Dy By Ay Example 33-01 (cont.) • Member ABD • What equilibrium equation? Dx

  7. 7kN Dy Cy 16kN 6kN Bx Dx Dy By Ay Example 33-01 (cont.) • Member ABD Dx

  8. Example 33-02 • Determine the horizontal and vertical components of force at each pin. The suspended cylinder has a weight of 80 lb.

  9. Example 33-02 (cont.) • Where to Start? • Structural characteristics • Pulley • Two-force member DC • Two-force member EB • No. Why? W W

  10. Example 33-02 (cont.) • Draw FBD • What FBD to Analyze? • Member ABC Ex Ey W Bx By W Ax Bx W FCD By

  11. Example 33-02 (cont.) • What Equilibrium Equation? W Ax Bx W FCD By

  12. Example 33-02 (cont.) • Find Bx to Help Solve for Unknowns Ex Ey W Bx By

  13. Example 33-02 (cont.) • Find Ax W Ax Bx W FCD By

  14. Example 33-03 • The link is used to hold the rod in place. Determine the required axial force on the screw at E if the largest force to be exerted on the rod at B, C, or D is to be 100 N. Also, find the magnitude of the force reaction at pin A. Assume all surfaces of contact are smooth.

  15. Example 33-03 (cont.) • Any Structural Characteristic? • Concurrent forces

  16. Example 33-03 (cont.) • FBD • Assume 1 N unit load at Ex Ay Ax Ex 45 NB

  17. Example 33-03 (cont.) • Equilibrium Analysis Ay Ax Ex 45 NB

  18. Example 33-03 (cont.) • Equilibrium Analysis Ay Ax Ex 45 NB

  19. Example 33-03 (cont.) • Equilibrium Analysis of Cylinder Ay Ax Ex 45 NB

  20. Example 33-03 (cont.) • Equilibrium Analysis of Cylinder Ay Ax Ex 45 NB

  21. References • Hibbeler (2007) • http://wps.prenhall.com/esm_hibbeler_engmech_1

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