1 / 18

Mechanics of Materials – MAE 243 (Section 002) Spring 2008

Mechanics of Materials – MAE 243 (Section 002) Spring 2008. Dr. Konstantinos A. Sierros. General info. M, W, F 8:00-8:50 A.M. at Room G-83 ESB Office: Room G-19 ESB E-mail: kostas.sierros@mail.wvu.edu Tel: 304-293-3111 ext.2310

cameron-thomas
Download Presentation

Mechanics of Materials – MAE 243 (Section 002) Spring 2008

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Mechanics of Materials – MAE 243 (Section 002) Spring 2008 Dr. Konstantinos A. Sierros

  2. General info • M, W, F 8:00-8:50 A.M. at Room G-83 ESB • Office: Room G-19 ESB • E-mail: kostas.sierros@mail.wvu.edu • Tel: 304-293-3111 ext.2310 • Course notes: http://www.mae.wvu.edu/~cairns/teaching.html • USER NAME: cairns PASSWORD: materials • Facebook : Konstantinos Sierros (using courses: Mechanics of Materials) • Office hours: M, W 9:00-10:30 A.M. or by appointment

  3. Course textbook Mechanics of Materials, 6th edition, James M. Gere, Thomson, Brooks/Cole, 2006

  4. Why do we study Mechanics of Materials? Anyone concerned with the strength and physical performance of natural/man-made structures should study Mechanics of Materials

  5. Why do we study Mechanics of Materials? SAFETY and COST !!

  6. Structural integrity of materials is important…

  7. 1.1: Introduction to Mechanics of Materials Definition: Mechanics of materials is a branch of applied mechanics that deals with the behaviour of solid bodies subjected to various types of loading Compression   Tension (stretched)   Bending   Torsion (twisted)       Shearing

  8. 1.1: Introduction to Mechanics of Materials • Fundamental concepts • stress and strain • deformation and displacement • elasticity and inelasticity • load-carrying capacity Design and analysis of mechanical and structural systems

  9. 1.1: Introduction to Mechanics of Materials • Examination of stresses and strains inside real bodies of finite dimensions that deform under loads • In order to determine stresses and strains we use: • Physical properties of materials • Theoretical laws and concepts

  10. Problem solving • Draw the free-body diagram • Check your diagram • Calculate the unknowns • Check your working • Compute the problem • Check your working • Write the solution • Check your working

  11. Free body diagrams I

  12. Free body diagrams II

  13. Statics example 4 3 2m 200kN A steel beam with a tensile strength of 700 MPA is loaded as shown. Assuming that the beam is made from hollow square tubing with the dimensions shown will the loading in the x direction exceed the failure stress? 0.01m 0.02m

  14. Step 1: Free body diagram 4 3 2m 240kN.m 200kN 120N 160kN 160kN 120kN

  15. Step 2: Calculate moment of inertia I=1/12 x (0.024)- 1/12 x (0.014) m4 =1.25 x 10-8 m4 A=0.022-0.012 m2 =0.0003 m2 0.01m 0.02m 0.02m

  16. Step 3: Shear and moment diagrams 4 3 V 2m 120 200kN x M x -240

  17. Step 4: Calculation of maximum tensile stress • Stress due to axial loading • Stress due to bending • ANS: Total stress greater than failure stress therefore failure will occur

  18. Key to success Ask questions and seek help if you feel like it!!!

More Related