“Afew higher order elements are far superior to several lower order elements” Comment on the degree of validity of the statement.
[3 marks]Comment on the statement: “Finite Element Analysis plays a crucial role in the new product development process.”
[4 marks]Compare the solution obtained by Galerkin’s method with exact solution for X= 0.5 and 1 for the following differential equation. d2u +u = x2;0 ≤ x ≤ 1 dx2 Consider quadratic polynomial function (u = a + a x +a x2 ).012
[7 marks]State the importance of Von Misses Stress distribution.
[3 marks]Explain: Local Coordinates, Global Coordinates, Natural Coordinates and Area Coordinates
[4 marks]Distinguish between essential boundary conditions and natural boundary conditions with suitable examples.
[7 marks]Model the tapered bar (as shown in figure 1) into two equal elements and derive the global stiffness matrix. Assume E = 200x103 N/mm2. Also mention the properties of global stiffness matrix. Figure 1
[7 marks]Draw different types of 1D, 2D and 3D elements.
[3 marks]Explain, with a sketch, plane stress and plane strain.
[4 marks]Enlist step by step procedure for Finite Element Analysis starting from a given differential equation.
[7 marks]Discuss the meshing convergence requirements in FEA.
[3 marks]Discuss the role of interpolation function in FEA and derive shape functions for 1-Dlinear element.1 Determine the displacements at each node for the given loading conditions
[4 marks]07 as shown in figure 2. Figure
[2 marks]Explain the concepts of iso, sub and super parametric elements.
[3 marks]Define skyline solutions with its importance.
[4 marks]Write properties of stiffness matrix K. Show the general node numbering scheme and the half bandwidth.
[7 marks]Write Boundary conditions, force vector and stiffness matrix for Beams.
[3 marks]Evaluate the stress-strain relationship of an Orthotropic materials.
[4 marks]Illustrate the Plane Frames element with neat sketch indicating degree of freedoms. How it is differed from beam element. Write element stiffness matrix K, transformation matrix Land load vector F.
[7 marks]Discuss discretization process of a given domain based on element shapes, number and size.
[3 marks]Discuss the term CST & LST.
[4 marks]Formulate the additional load vector due to thermal effect in 1D bar elements.
[7 marks]List out the application of axisymmetric elements.
[3 marks]What are the conditions necessary to be followed for considering a problem as axisymmetric?
[4 marks]Atwo member truss having 200 mm2 cross sectional area is subject to a system of forces as shown in Figure 3. Determine the nodal displacements in each of the members and consider the modulus of elasticity is 200 GPa. Figure 32
[7 marks]