ARDIENTE

MECHANICS
1. OPEN FRAME
The first approach is to divide the cross section into
two different parts, the front frame and the backplate,
in order to calculate them separately as beams. The
dimensions and factors considered are: b=1000mm,
h=2mm and W= 1kN/m
1.A Front frame
For the hand calculations, the polygon shape of the
project is simplified to an arch in order to analyse
the forces, moments and maximum stress. However,
for calculating the deflections, an approximation of a
rectangular frame is needed to be simplified.
W
B
A
C
R A
R C
FIGURE 52: BEAM DIAGRAM FOR STRESSES CALCULATION
Having done the calculations for top wind load case
and considering a sheet made of 2 mm, it can be seen
in the results that the arched approximation shows a
little and no relation to the actual values given by FEA.
This result is due to basic simplifications and it means
that another way of approaching the problem might be
needed. In any case, both calculations were conclusive
in which the sheet would not be able to withstand the
wind load applied from the top side.
A
B
FIGURE 53: BENDING MOMENT DIAGRAM
C
D
B
E
D’
W
E’
D’
E’
δ max
A
C
A
C
FIGURE 51: BEAM SIMPLIFICATIONS
FIGURE 54: BEAM DIAGRAM FOR DEFLECTION CALCULATION
Top Wind Load
Results H. Calculations Diana Required
R A
0.65 kN 0.71 kN
R c
0.65 kN 0.71 kN
M A,
M C
0 kNm 0 kNm
M E’,
M D’
0.03 kNm 0.03 kNm
M E,
M D
0.015 kNm 0.012 kNm
M B
0 kNm* 0.04 kNm
σ max
51.05 N/mm 2 70.80 N/mm 2 in B <310 N/m 2
δ max
455 mm 105.77 mm in B <2 mm
TABLE 4: CASE 1A - RESULTS OF TOP WIND LOAD - B=2MM
44