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University of Sydney – DESA 1102 Structures Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations Stability equilibrium Strength material behaviour 1/28

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Page 1: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

General Structural Concerns

Functionality / Stiffness

deformations

Stability

equilibrium

Strength

material behaviour

1/28

Page 2: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Stability Loads

Supports

● act on structure

● tend to destabilise structure

● must be such as to

provide equilibrium

● provide reactions

● also tend to break elements

2/28

Page 3: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

LoadsLoads

DynamicStatic

Dead Loads(fixed)

Forces due to

Settlements, Thermal effects,

...

Live Loads(movable)

Continuous Impact

Self-Weightof

Structure

FixedBuildingElements

Earthquakes

Wind

3/28

Occupancy Environmental(snow, ...)

Page 4: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Loads

Two main types

dead loads - self-weight,

fixed elements

live loads - occupancy, contents, wind

4/28

Page 5: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Loads (cont.)

The building materials impose dead loads (fixed, vertical)

Wind and earthquake impose live loads (variable, mostly horizontal)

The occupants and contents impose live loads (variable, mostly vertical)

5/28

Page 6: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Dead Loads Permanent weight of structure

● non-moveable partitions● built-ins, heavy equipment

Roof

WallsFloors

Equipment

6/28

Cowan, Gunaratnam and Wilson (1995). Structural Systems, Department of Architectural and Design Science

Page 7: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Dead Loads (cont.) How much does the stuff weigh?

How much of each material is there?

Dead loads

7/28

Page 8: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Dead Loads - Typical Values

Bulk Material Weight/unitvolume

Concrete, dense

Hardwood

Steel

Brick

23.5 kN/m3

11.0 kN/m3

76.9 kN/m3

19.0 kN/m3

Sheet Material Weight/unitarea

Gypsum plaster 13mm

Fibre cement 6mm

0.22 kN/m2

0.11 kN/m2

Appendix A of SA loading code AS1170.1

8/28

Page 9: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Live Loads Furniture, Equipment, People, Snow Moveable Partitions May or may not be acting all the time

9/28

Cowan, Gunaratnam and Wilson (1995). Structural Systems, Department of Architectural and Design Science

Page 10: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Live Loads (cont1.)

people move around

may get heavy concentrations

10/28

Page 11: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Live Loads (cont2.) Could calculate - but tedious

Codes specify loads for various types of occupancies

AS 1170.1 specifies minimum floor live loads

Concentrated (kN) - e.g. tall bookshelves

Uniformly Distributed (kPa)

11/28

Page 12: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Live Loads (cont3.) Building Codes give minimum values Domestic live loads range from 1.5 kPa Corridors and balconies are generally 4kPa, to

allow for crowding Most stores and workshops are >= 5 kPa

Live loads

12/28

Page 13: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Wind Loads Both Pressure and Suction Always important for tall buildings But also important for low buildings -

bracing

13/28

Page 14: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Wind loads on Buildings Pressure on the windward face

wind

Wind can come from any direction

Suction on other faces

Suction on lowpitched roofs - < 300

Buildings need bracing and tying-down

14/28

Page 15: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Wind Loads on Buildings (cont1.)

may need to hold roof down

15/28

Page 16: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Wind Loads on Buildings (cont2.)

Wind tends to overturn a tall building Acts as a vertical cantilever

Resisting Moment

PressureSuction

16/28

OverturningMoment

Reaction

Reaction

Page 17: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Factors in Wind Speeds General wind speed in the region

● (pressure varies with square of the speed)

Local topography affects wind patterns Wind speed increases with altitude Wind speed decreases with terrain

roughness Very exposed

More shelteredWind

17/28

Page 18: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Factors in Wind Loads (cont.)

Shelter from anything permanent will reduce loads

Shape of building affects loads● Boxy vs streamlined

Shelteredby buildings

Pinchgut is exposed

Curved shapes would need special analysis

18/28

Page 19: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Wind Loads on Elements Timber Framing Code has a procedure for finding

maximum wind speeds Timber Framing Code also has simplified rules for

bracing single-storey houses

In non-cyclone areas, wind loads in the 1kPa range

Multiply by the area exposed to wind

19/28

Page 20: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Seismic Loads

Earthquakes cause damage by horizontal acceleration - may swing

20/28

Page 21: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Settlement, Temperature Loads

Stresses caused by temperature changes

Uneven settlement of

foundations creates stresses

- Gothic Cathedrals

21/28

Page 22: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Loads on Elements

So far we have looked at the effect of loads on the building overall

Now let’s consider individual elements

22/28

Page 23: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Distributed Loads and Point Loads

Floors, walls and roofs are generally distributed loads (kN per m or kPa)

Other beams are point loads (kN)

Point LoadsDistributed Load

23/28

Reactions

Page 24: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Point Load on beam

Effect of one Member on Another

The forces at the supports are the reactions

For equilibrium, the reactions just balance the loads

Point Loadon columnand reaction

24/28

Point Loadsfrom beam to beam

Reaction from beam

Page 25: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Types of Reactions Simple Support

Beam sitting on supports

Hsimple beam

V

RvRv

H

Provides vertical support only

No horizontal reaction

Allows rotation no moment developed

V

RvRv25/28

RvRv

Page 26: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Types of Reactions Roller Support

Provides vertical support only

a true roller support(only needed on

very large structures)

deliberately avoids

horizontal restraint (allows expansion)

26/28

RvRv

Page 27: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Types of ReactionsHinged (pin) Support

Provides vertical and horizontal support,

Allows rotation - no moment developed

a definite ‘hinged’ support(most simple supports just involve

a beam sitting on something)

RV

RH

RV

RH

27/28

Page 28: University of Sydney – DESA 1102 Structures LOADS & SUPPORTS Peter Smith & Mike Rosenman General Structural Concerns Functionality / Stiffness deformations

University of Sydney – DESA 1102 Structures LOADS & SUPPORTS

Peter Smith & Mike Rosenman

Types of Reactions — Rigid Support

Provides V, H, and moment restraint, M

Welded steel frame

RV

RH

M

Make sure you can physically achieve it!

Cantilever beams or posts, and rigid frames

28/28