jwoolf
Uploaded by
12 SLIDES
559 VUES
160LIKES

Mechanics of Stress and Strain: Understanding Internal Forces for Structural Design

DESCRIPTION

Dive into stress and strain analysis with this comprehensive guide. Learn about stress distribution, Hooke’s Law, and safety factors in design. Explore examples of stress-strain diagrams and free body diagrams. Understand how structures withstand external forces and calculate normal stress and axial deformation. Get hands-on with practical exercises and real-world applications in this essential resource.

1 / 12

Télécharger la présentation

Mechanics of Stress and Strain: Understanding Internal Forces for Structural Design

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. Stress Analysis Mechanics: Stress and strain Stress and Strain

  2. Topics • Free Body Diagrams (Review) • Stress • Strain • Deformation • Hooke’s Law • Stress-Strain Diagrams • Design: The Safety Factor Stress and Strain

  3. Free Body Diagrams • Shows all external forces acting on the body • Procedure • Identify the isolated body and draw it • At all force locations draw the vectors • Supports • Connections • Contacts • Add the Weight force • Label forces with their value or a letter for unknowns • Add a coordinate system • Add geometric data (Lengths, angles, … ) Stress and Strain

  4. Examples 1 Stress and Strain

  5. Examples 2 Stress and Strain

  6. Examples 3 Stress and Strain

  7. Stress • Internal Forces • Reaction to external forces • Distributed throughout volume of material • Stress • Normal stress • Acts at right angles to a selected plane • The axial direction in a rod or cable • Shear stress: stays in the selected plane(advanced topic: Strength of materials course) • Can a structure withstand the forces applied to it? Stress and Strain

  8. Stress 2  = P/A (Pascals) : Average stress P: Applied force A: Cross section area Tension / Compression Stress and Strain

  9. Strain • Strain: deformation due to stress  =  / L : Normal strain : Change in length L: Original (unstressed) length Stress and Strain

  10. Hooke’s Law • SpringsF = kx F: Applied Force k: Spring constant x: displacement • Stress-Strain = E : Stress E: Modulus of Elasticity  : Strain • Using = P / A and  =  / L Stress and Strain

  11. Stress-Strain Diagram Stress and Strain

  12. Example 6 • 200 kg engine block • Cables • 0.7 m long • 4 mm diameter • E = 200 GPa • Find • Normal Stress • Axial Deformation Fac Fab Weight F = 200 kg * 9.8 m/sec2 F = 1960 newtons Stress and Strain

More Related