ESE 90 DAYS_Deflection of Beam

A force P is applied at a distance x from the end of the beam as shown in the figure. What would be the value of x so that the displacement at A is equal to zero?

The deflection at C is:

A rigid bar is supported by springs as shown in the figure below:

Deflection at point C will be:

Match List 1 (Theorem) with List 2 (Deflection at any point) and select the answer using the code given below

List - 1

(i) Macaulay’s method

(ii) Mohr method

(iii) Conjugate beam theorem

(iv) Castigliano’s theorem

List - 2

(a) First derivative of strain energy with respect to load at that point

(b) Bending moment in an imaginary beam having loading diagram equal to M/EI diagram in original beam

(c) EI times double integration of bending moment in the beam

(d) Moment of area of M/EI diagram

For the beam shown in the figure given below the deflection equation for a section in the span DE will be.