Why FEA is more popular method to solve complex problems in comparison with analytical method.
[3 marks]Explain Domain, Node and Element with neat sketch.
[4 marks]Explain step by step procedure to solve structural problem using FEM.
[7 marks]Discuss the different types of elements used in FEA.
[3 marks]Explain the Rayleigh-Ritz method.
[4 marks]Derive the stiffness matrix for a bar element.
[7 marks]For the loaded bar shown in figure, determine the nodal displacement, and elements stresses. Assume E=200 * 109 N/m2.
[7 marks]Give examples of plane stress and plane strain problems.
[3 marks]Enlist the properties of stiffness matrices.
[4 marks]For the loading as in figure, determine displacements and stresses. Assume E= 80 *103 Mpa.1
[7 marks]Explain symmetric banded matrices.
[3 marks]How are thermal effects considered in a truss element? Give the necessary equation to determine stress considering thermal effects.
[4 marks]For the two bar truss as shown in figure, determine the displacements in the bars. Assume E=70 GPa and A=200 mm2 for both members.
[7 marks]Explain how symmetry is used in FEA with applications.
[3 marks]Explain isoparametric element.
[4 marks]For the beam and loading shown in figure , determine the slopes at 2 and (indicated in figure.) Take E = 200 GPa and I= 4 * 106 mm4
[7 marks]Explain LST element and give its application.
[3 marks]Explain skyline method of storing data.
[4 marks]Explain the Plane Frames element indicating its applications. Provide element stiffness matrix Kand load vector.
[7 marks]Explain axisymmetric element with example.
[3 marks]Explain the shape function of CST element.
[4 marks]The triangular element has nodal coordinates (10,10),(40,20) and (30,50) for nodes 1,2, and 3 respectively for a point Pinside triangle, determine the x and y coordinates if shape functions Nand Nare 0.15 and 0.25 respectively.12
[7 marks]How will you make Finite element models of pressure vessel and Belleville spring.
[3 marks]Explain the FEA procedure to model a tapered bar subjected to an axial load.
[4 marks]Astepped bimetallic bar, made of aluminium ( E= 70* 109 N/m2 ) and steel ( E= 200* 109 N/m2 ) is subjected to an axial load of 300 KN at 20°Cas in figure. The temperature of bar is than raised to 60°C. The coefficient of thermal expansion for aluminum is 23 * 10-6 per °Cwhile for steel is 11.7 * 10-6 per °C, the cross-sectional area for aluminum and steel are 900 mm2 and 1200 mm2 respectively. Find the nodal displacement and element stresses.
[7 marks]