Enlist step by step procedure for Finite Element Analysis starting from a given differential equation.
[7 marks]How do you mesh a given geometry?
[3 marks]What are important material property to be considered in FEM?
[4 marks]The structure in Figure 1 is subjected to an increase in temperature ΔT = 100 0C. Determine the displacements, stresses, and support reactions.
[7 marks]Draw different types of 1D, 2D and 3D elements.
[3 marks]State various applications of FEM in different fields of engineering.
[4 marks]Derive the shape function for beam element.
[7 marks]Comment on the statement: “Finite Element Analysis plays a crucial rolein the new product development process.”
[4 marks]Write Boundary conditions, force vector and stiffness matrix for Beams.
[3 marks]What is Linear tringle element in FEA? Derive its stiffness matrix.
[4 marks]Derive the relation between a bar element and a truss element.
[7 marks]Write down the shape functions for an axisymmetric element.
[3 marks]Write short note on FEM convergence requirements.
[7 marks]Discuss the term CST & LST.
[4 marks]Define shape function. What are the characteristics of shape function?
[3 marks]Discuss the condition in plane stress and plain strain.
[4 marks]Design a beam of ASTM A36 steel with allowable bending stress of 160 MPa to support the load shown in Figure 2. Assume a standard wide flange beam from standard material table or some other source can be used.
[7 marks]Classify full automatic techniques for mesh generation.
[3 marks]Derive the stiffness matrix for one dimensional thermal element.
[7 marks]Write the Lagrangian interpolation function.
[3 marks]Discuss the role of interpolation function in FEA and derive shapefunctions for 1-Dlinear element.
[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 L and load vector F. Page 1 /
[2 marks]State the methods of engineering analysis.
[3 marks]In quadratic shape functions give the relationship between local and global coordinate system
[4 marks]Write short notes on:Gaussian quadrature integration technique. Figure : 1 Figure : Page 2 /
[2 marks]