Image Description - 0721-table2
A table is captioned “Table II. Sensitivities of Primitive Variables
Uncertainties of Truss Structural Response”. The table shows sensitivity
factors for several variables with respect to the response type.
Sensitivity factors are identified in terms of geometry (width, length
and height); load (vertical, longitudinal, end moment and couple);
material property (modulus) and tube radii (outer and inner). Structural
parameters used for evaluating the response are listed in the first
column of the table. The response types include displacements in the X,
Y, and Z directions; Axial forces in the top front, longerons (bottom
batten, front vertical and rear diagonal); and first and second frequency
modes. For a response type of displacement in the X-direction the
sensitivity factors are 0.35 for geometry (width), 0.66 for geometry
(length), less than 10 percent for geometry (height), 0.22 for load
(vertical), less than 10 percent for load (longitudinal), less than 10
percent for load (end moment), less than 10 percent for load (couple),
less than 10 percent for material property (modulus), less than 10 percent
for tube radius (outer), and less than 10 percent for tube radius (inner).
For a response type of displacement in the Y-direction the sensitivity
factors are 0.18 for geometry (width), 0.69 for geometry (length), less
than 10 percent for geometry (height), 0.36 for load (vertical), 0.16 for
load (longitudinal), less than 10 percent for load (end moment), less than
10 percent for load (couple), less than 10 percent for material property
(modulus), less than 10 percent for tube radius (outer), and less than 10
percent for tube radius (inner). For a response type of displacement in
the Z-direction the sensitivity factors are 0.12 for geometry (width), 0.73
for geometry (length), less than 10 percent for geometry (height), 0.28 for
load (vertical), less than 10 percent for load (longitudinal), less than 10
percent for load (end moment), less than 10 percent for load (couple), less
than 10 percent for material property (modulus), less than 10 percent for
tube radius (outer), and less than 10 percent for tube radius (inner). For
a response type of displacement in the Z-direction (for the beam element only)
the sensitivity factors are less than 10 percent for geometry (width), 0.76
for geometry (length), 0.34 for geometry (height), 0.34 for load (vertical),
less than 10 percent for load (longitudinal), less than 10 percent for load
(end moment), less than 10 percent for load (couple), less than 10 percent
for material property (modulus), less than 10 percent for tube radius
(outer), and less than 10 percent for tube radius (inner). For a response
type of axial force (top front) the sensitivity factors are 0.24 for geometry
(width), 0.44 for geometry (length), less than 10 percent for geometry
(height), 0.35 for load (vertical), less than 10 percent for load
(longitudinal), less than 10 percent for load (end moment), less than 10
percent for load (couple), less than 10 percent for material property
(modulus), less than 10 percent for tube radius (outer), and less than 10
percent for tube radius (inner). For a response type of axial force
(longeron bottom batten) the sensitivity factors are 0.39 for geometry
(width), 0.28 for geometry (length), 0.14 for geometry (height), less than
10 percent for load (vertical), less than 10 percent for load (longitudinal),
less than 10 percent for load (end moment), less than 10 percent for load
(couple), less than 10 percent for material property (modulus), 0.56 for
tube radius (outer), and 0.44 for tube radius (inner). For a response
type of axial force (longeron front vertical) the sensitivity factors are
less than 10 percent for geometry (width), less than 10 percent for
geometry (length), less than 10 percent for geometry (height), less than
10 percent for load (vertical), less than 10 percent for load (longitudinal),
less than 10 percent for load (end moment), less than 10 percent for load
(couple), 0.12 for material property (modulus), 0.76 for tube radius (outer),
and 0.63 for tube radius (inner). For a response type of axial force
(longeron rear diagonal) the sensitivity factors are 0.55 for geometry
(width), 0.39 for geometry (length), less than 10 percent for geometry
(height), 0.30 for load (vertical), less than 10 percent for load
(longitudinal), less than 10 percent for load (end moment), less than 10
percent for load (couple), less than 10 percent for material property
(modulus), less than 10 percent for tube radius (outer), and less than 10
percent for tube radius (inner). For a response type of frequency (mode 1)
the sensitivity factors are less than 10 percent for geometry (width), 0.47
for geometry (length), less than 10 percent for geometry (height), less than
10 percent for load (vertical), less than 10 percent for load (longitudinal),
less than 10 percent for load (end moment), less than 10 percent for load
(couple), less than 10 percent for material property (modulus), 0.25 for tube
radius (outer), and 0.19 for tube radius (inner). For a response type of
frequency (mode 1 for the beam element only) the sensitivity factors are 0.23
for geometry (width), 0.30 for geometry (length), 0.11 for geometry (height),
less than 10 percent for load (vertical), less than 10 percent for load
(longitudinal), less than 10 percent for load (end moment), less than 10
percent for load (couple), less than 10 percent for material property
(modulus), 0.30 for tube radius (outer), and 0.23 for tube radius (inner).
For a response type of frequency (mode 2) the sensitivity factors are 0.17
for geometry (width), 0.39 for geometry (length), less than 10 percent for
geometry (height), less than 10 percent for load (vertical), less than 10
percent for load (longitudinal), less than 10 percent for load (end moment),
less than 10 percent for load (couple), less than 10 percent for material
property (modulus), 0.32 for tube radius (outer), and 0.24 for tube radius
(inner). For a response type of frequency (mode 2 for the beam element only)
the sensitivity factors are less than 10 percent for geometry (width), 0.27
for geometry (length), 0.18 for geometry (height), less than 10 percent for
load (vertical), less than 10 percent for load (longitudinal), less than 10
percent for load (end moment), less than 10 percent for load (couple), less
than 10 percent for material property (modulus), 0.33 for tube radius (outer),
and 0.25 for tube radius (inner).