Problems 213
Fig. P.6.4
Explainhowthememberforcescanbeobtained.
P.6.5 TheframeshowninFig.P.6.5hastheplanesxzandyzasplanesofsymmetry.Thenodalcoordinatesof
one-quarteroftheframearegiveninTableP.6.5(i).
Inthisstructure,thedeformationofeachmemberisduetoasingleeffect,thisbeingaxial,bending,ortorsional.
ThemodeofdeformationofeachmemberisgiveninTableP.6.5(ii),togetherwiththerelevantrigidity.
Fig. P.6.5
Table P.6.5(i)
Node x y z
2000
3 L 00
7 L 0.8L 0
9 L 0 L
Table P.6.5(ii)
Effect
Member Axial Bending Torsional
23 – EI –
37 – – GJ=0.8EI
29 EA= 6
√
2 EIL 2 ––