By Jianhu (Chris) Shen

Email: jianhu.shen@rmit.edu.auPhone: 99250421Office: 10.12.25 (city) 251.2.67 (Bundoora)

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: jianhu.shen@rmit.edu.au

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

Bending Stress‐Shear

Bending Stress‐Normal

Stress

Safety of an Structure

Strength Rigidity Stability

Deflection

CapacityServiceability

Reliability

Brief review on lecture notes

Shear stress of beamsLongitudinal & Transverse Application

Understand the formula for shear stress Shear formula for regular sections Shear flow

Shear stress of beams• Parallel to section area• Always in pair • Sum of shear force in

section is shear force• Positive direction is

the same as shear forces

TL

Effect of shear force

Longitudinal shearTransverse shear

Longitudinal+ Transverse shear

Combinedeffect

These deformations are non-uniform and tend to warp the section

Application of shear stress

Shear failure in beam

Design spacing of fasteners

Design bonding for laminates

Design sandwich beams

Understand the formula for shear stress

T&L Pair Solve L shearShear stress at here

V

τ

'

''A

ydAyAQ

IbVQ

Distribution of shear stress on common sections

• Parabolic curve• Maximum shear on

neutral axis• May be discontinuous

due to the change of width of the section

Shear stress formula for rectangular sections

What is the average shear stress on the section?

Shear flow IVyA

IQVq ''

A’More examples:

A’

A’

A’ A’

Feedback and comments on Quiz 06‐Bending deflectionOverall PerformanceTotal correct answers (%) 59.46%Total incorrect answers (%) 40.54%Average score (points) 4588.43 points

Leader BoardQuiz 06‐Bending Stress

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

Most difficult quiz questions

39.2%

Most difficult quiz questions

42.3%

Most difficult quiz questions

47.2%

Most difficult quiz questions

26.0%

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

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.

Tutorial problems‐simple7-1. If the wide-flange beam is subjected to a shear of V = 20 KN determine the shear stress on the web at A. Indicate the shear-stress components on a volume element located at this point.

200 mm

20 mm

300 mm

20 mm

20 mm

NA160 m

m

A’

'y

Solution-P1-1

Solution‐P1‐2

P2‐Slightly complex7-4. If the T-beam is subjected to a vertical shear of 60 KN, determine the maximum shear stress in the beam. Also, compute the shear-stress jump at the flange web junction AB. Sketch the variation of the shear-stress intensity over the entire cross section

300

100

75150

Segment

Top

Bottom

Area y‐centre

300*75

100*150

37.5

150

37.5 150 NA

82.5 4567.5

Solution‐P2‐11. Solve centroid

origin

300

100

75150

150 NA

82.5

37.5

45

142.5

71.25

Maximum shear:

Jump of shear stress between flange and web:

Solution‐P2‐2

P3‐Design problem

50 mm

75 mm

NA

Solution‐P3‐1Solve moment of inertia

P4‐Shear flow

Solution‐P4‐1150 mm

50 mm

50 mm

NA25mm

Solution‐P4‐2