DFL_Functions: Deflection Loading Factor Functions

Description Usage Arguments

Description

Calculate the Deflection Loading Factor to account for the additional moment provided by the weight of the stem, crown (and snow, when present)

Usage

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
dlf_fun(
  bm,
  ht,
  cr_depth,
  cr_width,
  stem_vol,
  dbh,
  moe,
  crown_density,
  stem_density,
  snow_depth,
  snow_density,
  fgr_constants
)

deflection_fun(
  x,
  lever_arm,
  fow,
  dbh,
  ht,
  cr_depth,
  pull_height,
  moe,
  fgr_constants
)

force_of_wind_fun(bm, ht, cr_depth)

r_fun(lever_arm, pull_height)

i_fun(dbh, ht, cr_depth)

Arguments

bm

Applied bending moment resulting from the wind load (N).

ht

Tree height. Depending on the method used ('roughness' or 'TMC'), this can be either the mean tree in the stand, or each individual tree (m).

cr_depth

Length of the tree crown (m).

cr_width

Width of the tree crown (m).

stem_vol

Volume of the tree stem of the mean tree in the stand (m3). For the roughness method, this is stem volume of the mean tree. For the TMC method, this is individual tree stem voume.

dbh

Diameter of the stem at breast height, i.e. 1.3m above the ground (cm). Depending on the method used ('roughness' or 'TMC') this can be either the arithmetic average of the dbh of all the trees in the stand, or the dbh of an individual tree.

moe

Modulus of Elasticity of green wood (MPa).

crown_density

Density of of the tree crown (kg m-3).

stem_density

Density of green wood of the stem (kg m-3).

snow_depth

Depth of layer of snow on tree crown (cm).

snow_density

Density of snow (kg m-3).

x

Height along the tree stem where deflection is to be calculated (m).

lever_arm

Length of the lever arm (m). Typically, it is equal tree height.

fow

Applied wind loading in the deflection_fun function. It is a placeholder for the output of the force_of_wind_fun function.

pull_height

Height along the tree stem where the wind loading is applied (m).


tom-locatelli/fgr documentation built on Oct. 2, 2020, 2:09 a.m.