Section A
Q1.
(a)
A block (weight = W) is suspended by means of a spring, whose spring constant = k2, from the end of a rigid weightless beam, which is of length l and hinged to a wall by a frictionless connection at its left. It is held in a horizontal position by a spring, whose spring constant = k1, attached to it at a distance b from the hinge end to the ceiling as shown in Fig. 1(a) below. Determine the deflection of point A :
Fig. 1(a)
(b)
An RCC retaining wall has been constructed as shown in Fig. 1(b) below. Draw the deflected shape of the retaining wall and sketch the position of main reinforcement only in stem, heel slab and toe slab :
Fig. 1(b)
(c)
Two identical bars MP and MN, each of mass m, are hinged together at M and supported by two pegs at B and C such that each of the bars makes an angle α with the horizontal in equilibrium position as shown in Fig. 1(c) below. The pegs are in the same level horizontally and x distance apart. If the bars are of length l each, express α as a function of x and l. Consider ends P and N as free end :
Fig. 1(c)
