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- Presented by
Derek Kelly, M.Eng., P .Eng. Principal/Project Manager
An Overview of Wind Engineering Where Climate Meets Design - - PowerPoint PPT Presentation
An Overview of Wind Engineering Where Climate Meets Design Presented by Derek Kelly, M.Eng., P .Eng. Principal/Project Manager www.rwdi.com RWDI Leadership & Consulting Expertise RWDI Consulting
www.rwdi.com
Derek Kelly, M.Eng., P .Eng. Principal/Project Manager
RWDI – Leadership & Consulting Expertise
RWDI ■ Consulting Engineers & Scientists
problem solving for structural and environmental issues ■ Established in 1972 ■ 440+ employees ■ Multi-disciplinary teams
meteorologists; engineering technologists; technicians; support staff
Allied offices around the world
Instantaneous Pressure Distribution About a Building
Planetary boundary layer and effect
0.1 1 10 100 1103 1104 20 40 60 80 100 120 Return Period (years) Mean hourly wind speed (mph)
\ bridge alignment included
0.01 0.1 1 10 100 P e rc e n ta g e o f Tim e 10 60 110 160 210 260 310 360 Wind Direction (degrees)
Winds Exceeding 90 mph
0.01 0.1 1 10 100 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250 260 270 280 290 300 310 320 330 340 350 Bridge 0.01 0.1 1.0 10 100 1-year 10-year 100-year
0.0E+00 2.0E+09 4.0E+09 B as e Ov ert urning M om ent (N -m ) 10 60 110 160 210 260 310 360 Wind Direction (degrees)
Mx
Wind Direction (degrees) Base Overturning Moment
Across-wind response where mean loads are negligible
Peak Maximum Mean Peak Minimum Along-wind response
For a slender tall building with almost uniform cross-section, the wind loads can be governed by across-wind response due to vortex shedding. This normally becomes an issue for both strength design and serviceability.
0.0E+00 2.0E+09 4.0E+09 B as e Ov ert urning M om ent (N -m ) 10 60 110 160 210 260 310 360 Wind Direction (degrees)
Mx
Wind Direction (degrees) Along-wind response
Wind response can be significantly reduced by shape optimization.
Across-wind response where mean loads are negligible
Peak Maximum Mean Peak Minimum Base Overturning Moment
Across Wind Response and Vortex Shedding
12
Strouhal numbers have been determined for a variety of shapes such as rectangular, circular and triangular bodies. Typically between 0.12 to 0.16 for squared objects, and 0.2 to 0.22 for circular bodies.
t B crit
t
St= Strouhal number D = a characteristic dimension, taken as the width U = the velocity of the approaching wind
Mitigating Cross-Wind Response – 432 Park Avenue
Modified Original
25% - 30% REDUCTION IN BASE MOMENT Corner
tested
Mitigating Cross-Wind Response – Taipei 101
15
15 Tapered Box 100o Configuration 110o Configuration 120o Configuration 180o Configuration
Final Configuration
( ) ( . ) Max Min
2 2
06
Ref.Resultant
Reference
Configuration Test Date My (N-m) Ratio Mx (N-m) Ratio Ref. Resultant Ratio
Base (Tapered Box) 08/22/2008 5.45E+10 100% 4.98E+10 100% 6.22E+10 100% 100o (107o) 07/28/2008 4.53E+10 83% 4.19E+10 84% 5.18E+10 83% 110o (118o) 08/22/2008 3.97E+10 73% 4.31E+10 87% 4.92E+10 79% 180o (193o) 07/28/2008 3.39E+10 62% 3.65E+10 73% 4.18E+10 67% 120o (129o) - 0° Rot. Estimated 3.43E+10 63% 4.29E+10 86% 4.75E+10 76% 110o (118o) - 30° Rot. 09/29/2008 3.92E+10 72% 3.60E+10 72% 4.48E+10 72% 120o - 40° Rot. 09/29/2008 3.57E+10 66% 3.53E+10 71% 4.15E+10 67%
Assume the same structural properties for all configurations
(Vr=52m/s, 100-yr wind, damping=2.0%)
0° Rot. – Original 110° Shape Footprint Position 30° Rot. – Optimal Orientation of 110° Shape 40° Rot. – Optimal Orientation of 120° Shape
Benefits of Optimization due to Twist & Building Orientation Comparison of Base Overturning Moments
Taipei 101
Comcast Tower - Philadelphia
432 Park Avenue – in action!
Aeroelastic model of a construction stage Image of a Rigid Aeroelastic Model Under Construction
Aeroelastic Models of Completed Bridges
Tacoma Narrows Bridges Tacoma, Washington (suspension bridges) Cooper River Bridge - Charleston, S.C. (cable-stayed bridge)
b tU t
ref
*
Non-dimensional time = Non-dimensional velocity =
b U U
ref *
In fluid mechanics, the Reynolds number is a measure of the ratio of inertial forces to viscous forces, and quantifies the relative importance of these two types of forces for given flow conditions. It is primarily used to identify different flow regimes passing by a given object. Typically, Reynolds number is defined as follows:
VD Re
where: V - mean fluid velocity, [m/s] D - diameter of pipe, [m] ν - kinematic fluid viscosity, [m2/s]
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
Drag coefficient
1E+01 1E+02 1E+03 1E+04 1E+05 1E+06 1E+07
Reynolds number
[After Clift, Grace and Weber Bubbles, Drops and Particles, Academic Press, 1978]
u b
A u CD
2 2 1
Force Drag
4
2
b A Plot of Drag Coefficient of a Cylinder vs. Reynolds Number
Addressing Reynolds Number
and viscosity, one can do the following to achieve a high Reynolds number:
*difficult to do, need a pressurized wind tunnel
at a high speed.
smaller scale in RWDI’s facilities.
and building accelerations reduce, whereas the local Cladding loads may increase slightly and the distribution will change.
High Reynolds Number Tests (option)
Example
High Reynolds Number Tests
High Reynolds Number Tests – Shanghai Center
0.00E+00 2.00E+03 4.00E+03 6.00E+03 8.00E+03 1.00E+04 1.20E+04 1.40E+04 1.60E+04 1.80E+04 260 270 280 290 300 310 320 330 340 350 360
Shear Force (lbf) Wind Direction (degrees)
Fx
0.00E+00 5.00E+03 260 270 280 290 300 310 320 330 340 350 360
Shear Force (lbf) Wind Direction (degrees)
Fy Full Stage Equipment - Full Roof Full Stage Equipment - Half Roof No Stage Equipment - Full Roof No Stage Equipment - Half Roof
Wind Engineering Services – Scale Model Tests
Indiana State Fair Collapse Incident
0.00E+00 2.00E+03 4.00E+03 6.00E+03 8.00E+03 1.00E+04 1.20E+04 1.40E+04 1.60E+04 1.80E+04 260 270 280 290 300 310 320 330 340 350 360
Shear Force (lbf) Wind Direction (degrees)
Fx
0.00E+00 5.00E+03 260 270 280 290 300 310 320 330 340 350 360
Shear Force (lbf) Wind Direction (degrees)
Fy Full Stage Equipment - Full Roof Full Stage Equipment - Half Roof No Stage Equipment - Full Roof No Stage Equipment - Half Roof
Winter Winds Directionality (Blowing From) Toronto International Airport (1953-2015)
Percentage of Snow over All Winds: 12.9% Wind Speed km/h Probability (%) Winter Winds During Snowfall Blowing Snow 1-20 50.1 41.0 2.1 21-25 18.3 19.1 4.9 26-30 14.7 18.7 15.7 31-35 7.3 10.2 24.6 >35 5.5 8.2 52.8
All Winter Winds Winds during Snowfall Blowing Snow Events
Understanding the Local Climate
Site surroundings and topography… …also something we also have little control over
Drifting Snow in Urban Areas
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Simulation
Approaching Wind Flow Large Problematic Grade Level Drift Roof Step Accumulation Unbalanced Structural Snow Load
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Measures
Reduced Accumulations Large Structural Loads
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Away from the Building Facade Wind Deflector Device
Evaluation of Mitigation Measures
Wind Deflectors above Clearstory Windows
Building Massing to Promote Controlled Sliding
Image Courtesy www.vikings.com
Large Catchment Gutter for Storing Sliding Snow Snow Deflector for Directing Snow into Large Catchment Gutter Sliding Snow and Ice
Building Massing to Promote Controlled Sliding
Image Courtesy www.vikings.com
Scale Model of Minnesota Multi-Purpose Stadium in RWDI’s Boundary Layer Wind Tunnel
Page 47
Reputation Resources Results
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Example of Flow Fields Obtained from Wind Tunnel Testing
loading patterns on the roof for 58 years of historical winter weather data
Velocity Vectors from Wind Tunnel Tests
Page 48
Reputation Resources Results
Canada | USA | UK | India | China www.rwdi.com
Example Time History of Minnesota Multi-Purpose Stadium Roof Loading for the Winter of 1981-1982 Example of Typical Roof Snow Accumulation for the Winter of 1981-1982 Example Time History of Ground Accumulation for the Winter of 1981-1982
Example of Roof Loading Pattern