TrussDesign 3D

3D space-truss analysis · CSA S16-19 steel design · NBCC 2020 loads

SOLVED · 44/48 PASS

Load derivation

area loads → panel-point loads along the length and across the width

Snow NBC 4.1.6.2

S = Is·[Ss·(Cb·Cw·Cs·Ca) + Sr] = 1·[2·(0.8·1·1·1) + 0.2] = 1.800 kPa

Wind NBC 4.1.7

p = Iw·q·Ce·Ct·CgCp = -0.6075 kPa (negative = uplift) · width per line b = B/n = 5.000 m

Loaded chord lines: [6, 7, 8, 9, 10] · [16, 17, 18, 19, 20] — interior node FZ = −q·b·a, end node = half.

Load view

arrows scaled to magnitude, per load case

3D — case D
11100001100010100000100011.322.522.522.511.311.322.522.522.511.3
Elevation X–Z
11100001100010100000100011.322.522.522.511.311.322.522.522.511.3
Elevation Y–Z
11100001100010100000100011.322.522.522.511.311.322.522.522.511.3
Plan X–Y
11100001100010100000100011.322.522.522.511.311.322.522.522.511.3
Case D totalsΣFXΣFYΣFZ
Joint loads (kN)0.0000.000-180.000
Σ UDL·L (kN)0.0000.000-26.974
Σ reactions (kN)1.72e-136.44e-15206.974
Out of balance1.72e-136.44e-15-1.93e-12

Case D — joint loads

each row keeps its derivation source

JointFXFYFZMXMYMZSource
60.0000.000-11.2500.0000.0000.000D: end panel point = ½ × -1.5000 × 5.000 × 3.000
70.0000.000-22.5000.0000.0000.000D: interior panel point = -1.5000 × 5.000 × 3.000
80.0000.000-22.5000.0000.0000.000D: interior panel point = -1.5000 × 5.000 × 3.000
90.0000.000-22.5000.0000.0000.000D: interior panel point = -1.5000 × 5.000 × 3.000
100.0000.000-11.2500.0000.0000.000D: end panel point = ½ × -1.5000 × 5.000 × 3.000
160.0000.000-11.2500.0000.0000.000D: end panel point = ½ × -1.5000 × 5.000 × 3.000
170.0000.000-22.5000.0000.0000.000D: interior panel point = -1.5000 × 5.000 × 3.000
180.0000.000-22.5000.0000.0000.000D: interior panel point = -1.5000 × 5.000 × 3.000
190.0000.000-22.5000.0000.0000.000D: interior panel point = -1.5000 × 5.000 × 3.000
200.0000.000-11.2500.0000.0000.000D: end panel point = ½ × -1.5000 × 5.000 × 3.000
+ generated self-weight UDL wZ = −γ·A on all 48 members (read-only part of case D)

Combination matrix

NBC Table 4.1.3.2.-A · click a row to make it active

IDDescriptionTypeDLSWESLS limit
ULS11.4DULS—
ULS2a1.25D + 1.5L + 1.0SULS—
ULS2b1.25D + 1.5L + 0.4WULS—
ULS3a1.25D + 1.5S + 1.0LULS—
ULS3b1.25D + 1.5S + 0.4WULS—
ULS4a1.25D + 1.4W + 0.5LULS—
ULS4b1.25D + 1.4W + 0.5SULS—
ULS4c0.9D + 1.4WULS—
ULS4d0.9D + 1.4W + 0.5SULS—
ULS51.0D + 1.0E + 0.5L + 0.25SULS—
SLS11.0D + 1.0LSLSL/360
SLS21.0D + 0.9SSLSL/360