ME7920 Applied Finite Element Analysis

Department of Mechanical EngineeringIndian Institute of Technology-MadrasJan - May 2016

Assignment 1Due date: Jan 22, 2016

1. Consider the structure composed of three bars as shown in Figure (1). Given E = 70 GPa,A = 0.005 m2, P1 = 10 KN, and P2 = 15 KN, determine:

(a) The global stiffness matrix for the strucure.

(b) The displacements at the nodes 2, 3 and 4.

(c) The reactions at the node.

(d) The stresses in each bar.

Figure 1: Bar structure for Problem 1

2. Solve Q1 using Ten linear elements instead of three. Determine the displacements at thenodes and comment on the solution.

3. Consider the plane truss shown in Figure (2). Given E = 210 GPa, A = 0.005 m2, Determine

(a) The global stiffness matrix of the structure.

(b) The horizontal and vertical displacements at the nodes 2,3,4 and 5.

(c) The horizontal and vertical reactions at node 1 and 6.

(d) The stress in each element.

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Figure 2: Plane truss for Problem 3

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