- Question 2 A A Model Of An Electric Overhead Travelling Crane Consisting Of Girder Trolley And Wire Rope Is Illustra 1 (71.63 KiB) Viewed 47 times
Question 2 a) A model of an electric overhead travelling crane, consisting of girder, trolley, and wire rope is illustrated in Figure Q2a. The girder has flexural rigidity (EI) of 6X1012 N/m² and a span (L) of 10m. The rope is made of steel and has a length (L) of 10m. The weights of the trolley and the load lifted are 8000kg and 2000kg respectively. In the figure, E is Young's modulus of steel used in making the girder and the rope, / is area moment of interia of the girder, kg is stiffness of the girder, A is area of cross of the rope and kis stiffness of the rope. i) ii) Draw free body diagram of the model 4 Marks Write the equations of motion in the matrix form. 8 Marks Find the diameter of the rope such that the first natural frequency is greater than 10Hz. 13 Marks iii) Trolley 192 EI Girder kg. E and L AE m: Wire rope, K k m2 Load m2 Fiqure 02a