Figure below shows an overhead travelling crane, consisting of a girder which is simply supported at...

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Figure below shows an overhead travelling crane, consisting of a girder which is simply supported at its ends, a trolley, and a wire rope. The girder is made of steel, having a span of 40 m, an area moment of inertia (I) of 0.05 m, and a modulus of elasticity (E) of 200 GPa. The trolley has a mass (mi) of 800 kg, and the load being lifted has a mass (m) of 1000 kg and the wire rope has a stiffness (k) of 500 kN/m. The system can be modelled as a two-degree-of-freedom as shown in Figure (b). a) Determine the natural frequencies of the system. b) Determine and sketch the mode shapes of the system. Girder; kg, E, I m m k Trolley Wire rope Load lifted www. m xxxxx m (b) 09 (12 marks) (8 marks) Figure below shows an overhead travelling crane, consisting of a girder which is simply supported at its ends, a trolley, and a wire rope. The girder is made of steel, having a span of 40 m, an area moment of inertia (I) of 0.05 m, and a modulus of elasticity (E) of 200 GPa. The trolley has a mass (mi) of 800 kg, and the load being lifted has a mass (m) of 1000 kg and the wire rope has a stiffness (k) of 500 kN/m. The system can be modelled as a two-degree-of-freedom as shown in Figure (b). a) Determine the natural frequencies of the system. b) Determine and sketch the mode shapes of the system. Girder; kg, E, I m m k Trolley Wire rope Load lifted www. m xxxxx m (b) 09 (12 marks) (8 marks)

Answer rating: 100% (QA)

To solve this question we will make use of the information provided in the figure and the concepts of dynamics of systems of particles and mechanical vibrations Given The girder can be modeled as a sp... View the full answer