Question 2 a) A model of an electric overhead travelling crane, consisting of girder, trolley, and wire rope is illustra
Posted: Tue Apr 26, 2022 3:59 pm
- Question 2 A A Model Of An Electric Overhead Travelling Crane Consisting Of Girder Trolley And Wire Rope Is Illustra 1 (70.68 KiB) Viewed 65 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 (!) 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, I is area moment of interia of the girder, kg is stiffness of the girder, A is area of cross of the rope and k is 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 Girder kg. E and 1 192 ET L AE mi ko } k = 4F mi Wire rope, K m2 Load m2 Figure O2a.