Lecture 22
Mechanics of Materials
Trimester 2/2024
January 23, 2025
Contents: Review for the Final Examination, Trimester 2/2024
1. Chapter 6, 7 and 8. Analysis of 2D or 3D statically determinate structures such as Beam, Frame and Machine under combined loadings.
- Draw FBD and determine the reactions.
- Draw FBD and determine internal forces and internal moments.
- Determine various stresses both normal stress and shear stress.
- Draw the required stress element.33
2. Chapter 9. Stress Transformation and Mohr’s circle of a stress element.
For a given stress element,
- Determine the principal stresses and associated principal angles.
- Determine the maximum in-plane shear stress, averaged normal stress and the associated angles.
- Given a specific angle, determine new state of stresses of the stress element.
3. Chapter 6, 7 and 11. Design of statically determinate beam.
- Draw shear force diagram (SFD) and bending moment diagram (BMD).
- Design for a beam cross-section and check its shear force capacity and/or redesign the beam cross-section, if necessary.
4. Chapter 12. Deflection of statically determinate beam by using the superposition method
- Use the deflection table and the principle of superposition to determine the required deflection of a given beam under loads and compare it with an allowable deflection. If necessary, redesign the beam cross-section.
5. Buckling of columns
Analyze the column with various supports and lateral bracing to determine the critical load/stress of the column and/or the factor of safety.
More video clips for self-study:
(1) Lecture on Trimester 2/2021 at th-cam.com/play/PLF0BhuTaQMvQmL4XAqbc6_eZWgeg12t8O.html (The review of 2/2021 is here th-cam.com/video/DL0VD9jVO6I/w-d-xo.html)
(2) Lecture on Trimester 2/2020 at th-cam.com/play/PLF0BhuTaQMvTrDtPQHJnztajIxVPMR6hm.html (The review of 2/2020 is here th-cam.com/video/TItFuCv3i74/w-d-xo.html)
(3) Lecture on Trimester 2/2022 at th-cam.com/play/PLF0BhuTaQMvSerjJUbRvVWwQrUWg1_OT1.html&si=2CexGMFHETMVLo_j
(The review of 2/2022 is here th-cam.com/video/5dyKRso5_1E/w-d-xo.html)
(4) th-cam.com/video/DHp_zjkSFzI/w-d-xo.html ... Lecture on Trimester 2/2023
Lecture note of the Lecture 22:
drive.google.com/file/d/1vmwnLGFUcEJDzVf_peMHErOe4_abPUk8/view?usp=sharing