10 / 14
Calculation of Shear Areas and Torsional Constant using the Boundary Element Method with Scada Pro
10
4. Applications with Scada Pro
Next, the cross-sectional properties of four cross-sections (with arbitrary shape) are
calculated with Scada Pro by applying the Boundary Element Method (BEM), and
compared with those obtained from a FEM solution using the Nastran software [4.1].
4.1 Cross-Section 1
(Dimensions in
mm
)
Img. 4.1. Cross-Section 1: Standard Steel Section HEB-200.
Table 4.1.a Cross-Sectional Properties of Cross-Section 1.
Variables
Scada Pro - BEM NASTRAN - FEM [4.1]
Divergence (%)
A(m2)
0.00782
0.00781
0.08
Iyy(dm4)
0.57032
0.56994
0.07
Izz(dm4)
0.20035
0.20035
0.00
Ixx(dm4)=It(dm4)
0.00621
0.00605
2.60
Asy(m2)
0.00540
0.00554
2.39
Asz(m2)
0.00174
0.00174
0.06
Table 4.1.b Cross-Sectional Properties of Cross-Section 1.
Variables
Thin Tube Theory [4.2]
(
=Approximate theory for It, Asy, Asz
)
Divergence (%)
A(m2)
0.00781
0.12
Iyy(dm4)
0.57000
0.06
Izz(dm4)
0.20000
0.18
Ixx(dm4)=It(dm4)
0.00593
4.55
Asy(m2)
0.00600
11.02
Asz(m2)
0.00248
42.53