Structural Analysis
A pin-jointed plane frame is unstable if (where m is number of members, r is reaction components and j is number of joints)

m + r = 2j
(m + r)<2j
None of these
(m + r)>2j

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Structural Analysis
The effective and actual lengths of a cantilever are same if continuous at the support,

Restrained against torsion at the support and free at the end
Unstrained against torsion at the support and free at the end
With partial restraint against torsion of the support and free at the end
None of these

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Structural Analysis
To generate the j th column of the flexibility matrix

a unit displacement is applied at co-ordinate j and the displacements are calculated at all co-ordinates
a unit displacement is applied at co-ordinate j and the forces are calculated at all coordinates
a unit force is applied at coordinate j and the displacements are calculated at all coordinates
a unit force is applied at coordinate j and the forces are calculated at all coordinates

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