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3. A 1.8m long steel beam is Built In at both ends. The beam has a cross-section area 8.12 x 10m, and Second Moment of a
Posted: Mon May 09, 2022 9:52 am
by answerhappygod
- 3 A 1 8m Long Steel Beam Is Built In At Both Ends The Beam Has A Cross Section Area 8 12 X 10m And Second Moment Of A 1 (49.7 KiB) Viewed 29 times
3. A 1.8m long steel beam is Built In at both ends. The beam has a cross-section area 8.12 x 10m, and Second Moment of area 50000mm. Esteel=200GN/m2, Pste=7800kg/m? (a) Using a trigonometric shape function determine expressions for the following: . i The Kinetic Energy of the beam considering it as a continuous mass model (4) ii. The Potential/Strain Energy of the beam (4) (b) Derive the equation of motion for the beam using the Lagrange Equation and determine the natural frequency of the first mode of vibration. (8) (c) Show using sketches the shapes of the beam's higher order modal frequencies. (2) (d) If a machine with a mass of 6kg is mounted at the centre of the beam and is to be included in the analysis, determine its effect on the first mode of vibration. (2) Marks [20]