Wind Load Calculation Formula

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Questions and Answers

What does the exposure coefficient (k) primarily account for in wind load calculations?

  • The basic wind speed at a specific geographic location.
  • Variations in wind pressure with changes in height above ground level. (correct)
  • Changes in wind pressure due to the building's shape.
  • The effect of surrounding buildings on wind speed.

What is the primary determinant of the basic wind pressure (q) on a structure, according to the provided information?

  • The basic wind speed at the building's location. (correct)
  • The exposure coefficient.
  • The height of the structure.
  • The wind pressure distribution factor.

According to the document, what is the value of the ratio\factor of safety, $M_{stability}/M_{overturning}$, to consider a structure stable?

  • Greater than 1.5 (correct)
  • Greater than 1.0
  • Less than 1.5
  • Less than 1.0

When calculating wind load, the wind pressure distribution factor ($C_e$) varies based on which of the following?

<p>The building's geometry and wind direction. (B)</p> Signup and view all the answers

Under what condition is the structure's coefficient taken as 1.00?

<p>Structures not exceeding 60 meters in height. (D)</p> Signup and view all the answers

Which of the following descriptions best characterizes an 'open exposure' area when determining the exposure coefficient (k)?

<p>An area with minimal obstructions. (A)</p> Signup and view all the answers

What does the structural factor ($C$) account for particularly in variable wind loads?

<p>The potential for dynamic amplification of wind effects and turbulence. (B)</p> Signup and view all the answers

What is the significance of determining the 'Total Moment at base' in the context of wind load analysis?

<p>It is essential for assessing overturning stability. (A)</p> Signup and view all the answers

What formula estimates Sliding Force?

<p>$Fb$ (C)</p> Signup and view all the answers

What would be the design consideration for structures in areas prone to both wind and seismic loads?

<p>Design for the most unfavorable load combination, considering wind and seismic loads separately and in combination. (B)</p> Signup and view all the answers

Which factor considers the influence of terrain undulations on wind pressure?

<p>Topographic factor ($C$). (D)</p> Signup and view all the answers

What does the term 'turbulence' refer to in the context of structural factor ($C$)?

<p>Variations in wind speed and direction over short periods. (D)</p> Signup and view all the answers

What does the wind load (F) depend on?

<p>Wind load (F) = $P_e$ × area (A)</p> Signup and view all the answers

When defining load combinations involving wind load (WL), what should be considered according to the document?

<p>Consider load combinations that include wind load (WL) along with dead load (DL) and live load (LL) and seismic load(SL). (D)</p> Signup and view all the answers

Which type of structure would typically require a wind tunnel test or complex simulations for a detailed analysis of wind dynamic effects?

<p>High-rise buildings or structures with unusual geometries. (A)</p> Signup and view all the answers

Which of the following statement is true regarding the factor termed 'α'?

<p>All the above (C)</p> Signup and view all the answers

What primarily determines the selection of the appropriate analysis method for wind dynamic effect?

<p>The complexity of the structure's geometry and the importance of detailed dynamic behavior. (D)</p> Signup and view all the answers

Which factor is LEAST likely to influence the external wind pressure coefficient ($C_e$)?

<p>The internal pressure of the building. (D)</p> Signup and view all the answers

When should a structural engineer consider the effects of turbulence in wind load design?

<p>When designing structures susceptible to oscillatory motion or dynamic amplification. (A)</p> Signup and view all the answers

What does the 'area' symbolize in Wind load (F) = $C_e$ x k x q x area?

<p>Area subjected to wind (C)</p> Signup and view all the answers

Flashcards

Pe

External wind pressure statically affecting the unit area of external building surfaces.

q

The basic wind pressure which relies on geographic location

k

Exposure coefficient that varies with height above ground level

Ce

External wind pressure coefficient on building surfaces depending on geometry

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Exposure Factor (K)

Coefficient determining the change in wind pressure relative to height.

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Open Exposure (Category A)

Areas with few obstructions

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Suburban Exposure (Category B)

Areas with average obstruction

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City Center Exposure (Category C)

Areas with heavy obstructions

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V (Wind Speed)

Wind speed over 3 seconds at 10m above ground.

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P (Air Density)

Density of the air

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C (Topography Coefficient)

Terrain topography coefficient.

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C (Structural Factor)

A factor takes into account the effect of wind loads peak pressure on the structure

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Wind Load (F)

Force of the wind

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Wind Distribution

Wind pressures on surfaces

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Resisting force

Resistance to sliding force

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Alpha

Takes into account the effects of quasi-permanent live loads

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Study Notes

  • Wind Load Calculation is covered in Lecture 5 by Mohamed Abdelbarr, Ph.D., P.E.

Wind Load Calculation Formula

  • External wind pressure statically affecting the unit area of external building surfaces is denoted as Pe, using the following formula:
  • Pe = Ce * k * q

Variables

  • Pe is the external wind pressure.
  • q represents the basic wind pressure that is dependent on the building's geographical location. Values for q are based on what is in item (7-4).
  • k refers to the exposure factor which varies with height above ground level. Values for k come from item (7-5-3).
  • Ce is the external wind pressure coefficient on building surfaces, dependent on the building's geometry. Values for Ce are based on item (7-6).

Wind Pressure Distribution Factor (Ce)

  • Wind Pressure Distribution Factor (Ce) varies based on location around the structure
  • Ce can be negative or positive depending on face
  • Wind Pressure Distribution Factor (Ce) can be calculated as Ce = 0.8 + 0.5 = 1.3

Exposure Factor (K)

  • Exposure Factor (K) defines the change in wind with height
  • Exposure Factor (K) gradually increases as height increases from the ground
  • Areas for calculating the exposure have three categories based on ground roughness length

Exposure Category Types:

  • Exposure (A): Includes open, exposed areas with few obstructions.
  • Exposure (B): Includes areas with moderate obstructions, such as small towns and suburban areas.
  • Exposure (C): Includes areas with significant and closely spaced obstructions like city centers.

Wind Pressure (q)

  • Basic wind pressure (q) in kN/m² can be calculated using the formula: q = 0.5 * (rho) * V^2 * C * C
  • V is the basic wind speed corresponding to a 3-second wind gust at a height of 10m above ground, per table (7-1), with a 2% probability of exceedance for design loads over 50 years
  • (Rho) is air density, taken as 1.25 kg/m3
  • Constant (C) represents the ground topography, based on the shape of the land and its undulations, table (2-7)
  • Constant (C) represents the building and is calculated based on the annex (أ)

Defining the Constant C

  • Constant C takes into consideration the impact of wind loads during peak, non-sequential occurrences of peak wind pressure on the building, along with the building's disturbance during turbulence.
  • For detailed analysis of wind's dynamic effect, a wind tunnel test is performed, or complex simulations

Structural Factor

  • Structural factor accounts for the impact of wind loads during non-sequential peak wind pressure on the building
  • Structural factor also accounts for the building's vibration during turbulence

Conditions for Structural Factor Value

  • Structural factor value is 1.00 in these situations:
    • Buildings and structures less than 60 meters high
    • Gabled (lattice) towers
    • Buildings/structures with a height less than four times the smallest dimension in the horizontal plane

Wind Load (F) Equation

  • Wind Load (F) = Pe × area
  • KN = Ce x k x q x area
  • Area = area subjected to wind

Wind Distribution Formula

  • Wind distribution is measured as Pe = Cex kx q kN/m²

Wind Distribution Table

  • Zone A is most critical case
  • P4 = Cex K 4x q, k 4=1.60
  • P3 = Cex k3x q, k 3=1.40
  • P2 = Cex k2x q, k2=1.15
  • P1 = Cex k₁x q, k₁=1.00

Additional Formulas

  • F=Cex kx qx area
  • Total Moment at base = Σ Fix Hi
  • M overturning = F1x H1+Fx H2+F3x H 3+

Further Equations

  • Factor Of Safety = Stability Moment / Overturning Moment
  • F.O.S. = Mstability / Moverturning
  • Sliding Force =Fb / 1.40
  • Resisting Force = µ ×W
  • Factor Of Safety= Resisting Force / Sliding Force
  • F.O.S. # 1.5

Load Combinations

  • In circumstances where the facility is exposed to wind and earthquake loads, you must use the ultimate Load (U).
  • Use the larger value calculated from the equations below.
  • U = 0.8 [1.4 D.L. +1.6 L.L. +1.6 W.L.]
  • U-C = 1.12 D.L. + a L.L.+S.L.
  • U = 1.4 D.L. + 1.6L.L
  • Value of (0) must not be lower than this value.

Variable List

  • D.L. = Dead load
  • L.L. =Live load
  • S.L. = Seismic load
  • W.L. = Wind load
  • Variable (α) superimposes the effect of quasi-permanent vertical loads above to the facility during an earthquake. (α) depends on the type of facility.

Variable (α) Values

  • Residential buildings = 0.25
  • Public facilities (such as non-main warehouses, commercial markets, schools, hospitals, garages) = 0.50
  • Structures loaded w/ sustained/continuous activity (such as libraries, main warehouses, garages) = 1.00

Computer Modeling

  • For computer aided design, static load case names must be defined

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