Fem Q 4b1o6t

Institute of Engineering

Pashchimanchal Campus SET A Subject: Finite Element Method Attempt all questions: 1. Using Serendipity concept, find the shape function for quadratic serendipity family element 2. Write down the applications of FEM? Explain the convergence requirements of an interpolation function used for the finite element formulation. 3. Classify and list the element types. Define Shape function. Write element stiffness matrix for spring and beam element with example. 4. Explain Matrix Partitioning with suitable example. For the two bar truss as shown in figure below, determine the horizontal displacement of node 1 and the axial force in each element. A force of P = 1000 kN is applied at node 1 while node 1 settles an amount  = 50 mm as shown. Let E = 210 GPa and A = 6*10-4 m2 for each element.

Institute of Engineering

Pashchimanchal Campus SET B Subject: Finite Element Method Attempt all questions: 1. For the beam shown in figure, Determine Beam deformations and end reactions.

2. Using Langrange functions, derive shape function for hexahedron (brick) element. 3. Write down the advantages & disadvantages of FEM? Investigate whether the following vectors are linear dependent or independent.

x1 =

; x2 =

; x3 =

4. Classify and list the element types. Define Shape function. Write element stiffness matrix for bar and 3D truss element with example.