Wind on single-span gabled and hipped roofs with a slope between 7 and 45 degrees for C&C

Figure 4.1.7.6.-E (NBC2020)

v1.0.0

#### Factors

User input values:

q: 1kPa

Importance Factor, ULS: I

C

Roof slope: 26.57 degrees

q: 1kPa

Importance Factor, ULS: I

_{w}= 1.0C

_{e}= (h/10)^{0.2}(but not less than 0.9) = 0.9Roof slope: 26.57 degrees

#### External Wind Pressure

Using figure for Gable and Hip roofs with slopes between 7 and 27 degrees.

Zone | C_{p}C_{g} | p_{e} (kPa) |
---|---|---|

c- | -5 | -4.5 |

r- | -2.49 | -2.24 |

s- | -3.7 | -3.33 |

oc- | -7 | -6.3 |

or- | -1.7 | -1.53 |

os- | -4.2 | -3.78 |

c+ | 0.78 | 0.7 |

r+ | 0.78 | 0.7 |

s+ | 0.78 | 0.7 |

#### Internal Wind Pressure

C

_{gi}= 2C

_{pi}= -0.45 to 0.3C

_{ei}= (h

_{i}/10)

^{0.2}(but not less than 0.9) = 0.9

p_{i} = I_{w}*q*C_{e}*C_{t}*C_{gi}*C_{pi}

p_{i} = -0.81kPa to 0.54kPa

#### Combined Wind Pressure

Note: Overhung roofs include contributions from upper and lower surfaces. Therefore, the interior pressures is not combined with the exterior pressure at overhangs.

Zone | C_{pi}=-0.45 p (kPa) | C_{pi}=0.3 p (kPa) |
---|---|---|

c- | -3.69 | -5.04 |

c+ | 0.16 | 1.51 |

r- | -1.43 | -2.78 |

r+ | 0.16 | 1.51 |

s- | -2.52 | -3.87 |

s+ | 0.16 | 1.51 |

oc- | -6.3 | -6.3 |

os- | -1.53 | -1.53 |

or- | -3.78 | -3.78 |

#### End Zone Width

The end-zone width is the lesser of:• 10% of the least horizontal dimension = 0.1m

• 40% of the height of the building (H) = 0.4m

but not less than:

• 4% of the least horizontal dimension = 0.04m

• 1m

**z = 1m**