An overhead crane carries a load of 50 tonne. under static conditions the maximum deflection is 5 mm (excluding the elongation of the ropes) and the maximum bending stress is 60 mpa. the ropes have a combined cross-sectional area of 1 x 10 m². include the elongation of the rope and calculate the maximum deflection at the end of the rope and the maximum stress induced in the crane if the 50 tonne is lowered at a constant speed of 0,1 m/sec and then suddenly stopped when the rope has a length of (a) 3 m; and (b) 20 m (e = 210 gpa).