Test: Methods of Indeterminate Analysis -1 - Civil Engineering (CE) MCQ

Macaulay's method is used for deflection and slope calculation due to point loads in prismatic beams. Method of sections is used for statically determinate trusses.

- The horizontal force will be distributed to both the supports.
- The bending moment at hinged end will be zero and fixed end will have some B.M.
- The B.M.D. for columns will be linear.
- The B.M.D. for beam will be parabolic.
The choice now remains between (b) and (d). In diagram (b) and (c) the Left column has negative B.M. in upper half or at top. The beam at left end in (b) shows negative B.M. while in (c) it shows a positive B.M.

Due to sway, the deflection of point B will be equal to that of point C.

For part BD.

For Part AB

As the beam BC has no rigidity, so end B of column behaves as free end.
For a cantilever beam subjected to concentrated load at free end, the stiffness is 3EI/L³
Stiffness of given system,

The deformed shape of structure will have translation at B and C,

The shear force at end A should be equal and opposite to shear force at D, Let -40 kN-m denotes the clockwise moment so moment at end B of column AB is 40 kN-m anticiockwise and the shear force at A is10 kN towards left.
Therefore shear force at D is 10 kN towards right. Thus end moment at C is 30 kN-m clockwise or -30 kN-m.