The frame defined by points ABCDEF is supported by one roller and one fixed support and...

  

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The frame defined by points ABCDEF is supported by one roller and one fixed support and is loaded with a concentrated force of 10kN as shown above. You will need to do the following: 1. Construct an FEA model which allows you to investigate the behaviour of the truss. It is expected that your FEA model will allow you to calculate the following: X- and Y- displacements for all nodes; Forces for all nodes (think about what his means); Forces in all elements; Stress in all elements . . • • Reaction forces at supports; and, • Factor of safety (think carefully about possible failure mechanisms!) 2. Construct the mathematical FE equations (F)-[K]{U} for this system and solve them using a suitable software (e.g. Exce,. Matlab, etc.). It is expected that your model will allow you to calculate the displacements and forces at each of nodes - these should be compared with the results from your FEA model. 3. You will need to analyse the behaviour of your models and compare this with an appropriate theoretical method (e.g. hand calculations of static equilibrium). Show your equilibrium equation at Point F. Present results for element forces and stresses and compare these with the results from your FEA model. 10kN 60" 75* 30° in 75" 45° 30" 2m 45" 60" B Figure 1: Truss Frame (NOT DRAWN TO SCALE) The frame defined by points ABCDEF is supported by one roller and one fixed support and is loaded with a concentrated force of 10kN as shown §2.1 Truss Frame Figure 1 shows a truss frame. The frame consists of nine elements. All the elements have the same material properties and these are listed in Table 1. Young's Modulus, E Poisson ratio, v Yield stress, Oy Diameter of circular profile, d Length L E = 210 GPa v=0.3 Oy = 300 MPa D = 10mm See Figure 1 Table 1: Truss Frame Properties The frame defined by points ABCDEF is supported by one roller and one fixed support and is loaded with a concentrated force of 10kN as shown above. You will need to do the following: 1. Construct an FEA model which allows you to investigate the behaviour of the truss. It is expected that your FEA model will allow you to calculate the following: X- and Y- displacements for all nodes; Forces for all nodes (think about what his means); Forces in all elements; Stress in all elements . . • • Reaction forces at supports; and, • Factor of safety (think carefully about possible failure mechanisms!) 2. Construct the mathematical FE equations (F)-[K]{U} for this system and solve them using a suitable software (e.g. Exce,. Matlab, etc.). It is expected that your model will allow you to calculate the displacements and forces at each of nodes - these should be compared with the results from your FEA model. 3. You will need to analyse the behaviour of your models and compare this with an appropriate theoretical method (e.g. hand calculations of static equilibrium). Show your equilibrium equation at Point F. Present results for element forces and stresses and compare these with the results from your FEA model. 10kN 60" 75* 30° in 75" 45° 30" 2m 45" 60" B Figure 1: Truss Frame (NOT DRAWN TO SCALE) The frame defined by points ABCDEF is supported by one roller and one fixed support and is loaded with a concentrated force of 10kN as shown §2.1 Truss Frame Figure 1 shows a truss frame. The frame consists of nine elements. All the elements have the same material properties and these are listed in Table 1. Young's Modulus, E Poisson ratio, v Yield stress, Oy Diameter of circular profile, d Length L E = 210 GPa v=0.3 Oy = 300 MPa D = 10mm See Figure 1 Table 1: Truss Frame Properties