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By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at...

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By Jianhu (Chris) Shen Email: [email protected] Phone: 99250421 Office: 10.12.25 (city) 251.2.67 (Bundoora)
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Page 1: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

By Jianhu (Chris) Shen

Email: [email protected]: 99250421Office: 10.12.25 (city) 251.2.67 (Bundoora)

Page 2: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Mode of delivery and consultation  Lectures – mainly concepts, methodology, knowledge Tutorials –Practise by solving problems Brief review on lecture notes to be used in tutorialFeedback and comments on previous QuizQuiz on previous tutorialDemonstrate the solution process for tutorial problemsPractise time and answer questions for tutorial problems

My consultations Time Wednesday: 2:00 PM to 4:00 PMOther time, please confirm available with email: [email protected]

Page 3: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Learning Progress for Structural Analysis

DD/F

Double integration method

Slope/Deflection Equations

BMD/F; SFD/F;

Statics‐FBD

Materials, Geometries, Sections, Applied Load

Section properties

Internal forcesN, Q, M

Equilibrium Eq

Constitutive Eq

Stress  Transformation

Shear Stress on Beams

Bending Stress‐Normal

Stress

Safety of an Structure

Strength Rigidity Stability

Deflection

CapacityServiceability

Reliability

Page 4: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Brief review on lecture notes Stress transformation-planar

-Stress state at one point on structure-Sign conventions-Stress components in different coordinate system with the same origin-Relation between those components

Principal stresses-Maximum normal stress-Maximum shear stress

Application of stress transformation

Page 5: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Stress state at one point on structure‐planar

Bending stress Shear stress

Page 6: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

All stress components for 3D and planar

Page 7: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Sign conventions for stress transformation

Page 8: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Stress components in different coordinate system  y

xO x’

y’

O

Page 9: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Planar stress transformation

Mathematical representation of stress transformation

Page 10: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Mohr’s Circle

Graphical representation of stress transformation

http://www.ijee.ie/OnlinePapers/Interactive/Philpot/mohr_learning_tool.htm

Page 11: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

In-plane principal stressesMaximum normal stress

Maximum shear stress

Page 12: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Application of stress transformation

Explain orientation of crack Check grain strength for wood

Explain failure plane Design welding for pressure vessels

Page 13: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Feedback and comments on Quiz 07‐Bending deflectionOverall PerformanceTotal correct answers (%) 59.46%Total incorrect answers (%) 40.54%Average score (points) 4588.43 points

Page 14: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Leader BoardQuiz 07‐Bending Deflection

Rank Student No. Name Points Right Answer

1 (1) s3656282 Maglitto Michael Jo 8758 9

2 (2) S3643813 Fong Kee Zhen 8037 8

3 (3) s3668083 Piwowar Jacob Matthew 7392 9

Page 15: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Most difficult quiz questions

17.0%

Page 16: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Most difficult quiz questions

36.7%

Page 17: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Most difficult quiz questions

53.4%

Page 18: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Select a simple structure/a part of a structure

Approximate the selected structure to statically determinate structure

Simplify geometry, section, loads, supports etc

Section properties SFD/BMD; Bending stress Deflection Shear stress Principle stresses, failure planes

Update on satisfactory progress on your Video Project

Deliveries:Task 1-Photograph with Related Info

Due: 11th August

Task 2- Interim ReportDue: 15th September

Task 3 -Final Report and Video Presentation

Due: 20th October

Page 19: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Now Quiz Time1. Use the internet explore in your mobile, ipad, 

computer etc to explore the following webpagehttp://kahoot.it 

2. Using the pin shown in the screen of your teacher to enter the quiz. 

3. Please use your student number as your nickname, otherwise we cannot allocate marks to you. After you enter your name, your name should be shown on the screen of your teacher’s computer. 

4. Then just wait the teacher to start the quiz.

Page 20: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

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Tutorial problem 1 - simple

Page 21: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Solution‐P1‐1

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x

y

x'

y'

Page 22: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Tutorial problem 2 – more complex

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Page 23: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Solution‐P2‐1

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Stress state:

Principal stresses-normal stress

Page 24: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Principal stresses-shear stress:

Average stress:

Solution-P2-2

Page 25: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Solution‐P2‐3

Page 26: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Example 3‐application example

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Page 27: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

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Work out the stress state in structural coordinate system

y

x1. Solve reaction forces

2. Solve bending stress

Solve bending and shear force moment at A:

Solution‐P3‐1

Page 28: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Solution‐P3‐23. Solve shear stress at A

Page 29: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Solution‐P3‐34. The stress state at A

Page 30: By Jianhu (Chris) Shen - WordPress.com · 2017. 10. 7. · Solution‐P3‐3 4. The stress state at A. Solution‐P3‐4 30. Title: Microsoft PowerPoint - TU10_Week11_Stress transformation.ppt

Solution‐P3‐4

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