Table 2: Calculations for wood tangent** cross arms.

Case Id Setup Model Length L #
(mm)
x
(mm)
x1
(mm)
PU
(kN)
PALL
(kN)
Deflection at Free End
Δ
(mm)
Lateral Stiffness kL
(kN/m)
Arm Weight W
(N)
Strength-to-Stiffness Ratio
RSS
(1/mm)
Weight-to-Stiffness Ratio
RWS
(1/mm)
Cost
($)
(1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11) (12) (13)
WT1 Fig. (2a) 1219.2 1117.6 101.6 8.81 5.87 31.8 969 78 9.14 0.0813 30
WT2 Fig. (2b) 1524.0 482.6 101.6 5.17 2.24 43.1 496 97 20.83 0.196 37.5
WT3 Fig. (2c) 1828.8 965.2 152.4 3.72 1.61 63.2 287 117 25.91 0.406 45
Average 18.63 0.228

#Corresponds to half the total length shown in setup.
** γ = 1.50 and ψ = 0.65.