GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- VII (New) EXAMINATION — WINTER 2019
--- Content provided by FirstRanker.com ---
Subject Code: 2172008 Date: 30/11/2019
Subject Name: Finite Element Analysis of Mechatronic Systems
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
--- Content provided by FirstRanker.com ---
Q.1
(a) Define FEA? List the advantages of using Finite Element Analysis [03]
(b) What do you understand by Discretization? Discuss the factors to be considered for discretizing the domain. [04]
--- Content provided by FirstRanker.com ---
(c) Discuss the importance of a shape function. Derive the shape function for a spring element highlighting its significance. [07]
Q.2
(a) Discuss the applications of Finite Element Method. [03]
(b) Using potential energy approach find the nodal displacements, forces in each element and the reactions for the spring assemblage shown in below figure [04]
--- Content provided by FirstRanker.com ---
(c) For the two-bar truss shown in Figure, determine the displacement in the y direction of node 1 and the axial force in each element. Let E = 210 GPa and A =6 x 10-4 m2 for each element: The lengths of the elements are shown in the figure. [07]
OR
(c) For the plane truss shown in Figure, determine the displacements and reactions. Let E=210 GPa, A = 6 x 10-4 m2 for elements 1 and 2, and A = 6v2 x 10-4 m2 for element 3. [07]
--- Content provided by FirstRanker.com ---
Q.3
(a) Discuss the conditions necessary for solving a problem using Axisymmetric element. [03]
(b) List and explain the rules for selecting a displacement function. [04]
(c) Determine the nodal displacements and rotations and the global and element forces for the beam shown in Figure. The beam is fixed at node 1, has a roller support at node 2, and has an elastic spring support at node 3. A downward vertical force of P = 50 kN is applied at node 3. Let E = 210 GPa and I = 2 x 10-4 m4 throughout the beam, and let k = 200 kN/m. [07]
--- Content provided by FirstRanker.com ---
OR
(a) “Understanding computer aided design is mandatory for FEA”. Evaluate [03]
(b) Discuss the different types of elements used for discretization with specific examples and applications. [04]
(c) Determine the displacement and rotation at node 2 and the element forces for the uniform beam with an internal hinge at node 2 shown in Figure. Let EI be a constant. [07]
--- Content provided by FirstRanker.com ---
Q.4
(a) Explain the different types of nonlinearities with appropriate examples. [03]
(b) Discuss the role of dynamics in analyzing structures using FEA. [04]
(c) Compare and Contrast: Plane stress and Plane strain conditions with suitable example. [07]
OR
--- Content provided by FirstRanker.com ---
(a) State and explain different types of boundary conditions used in FEA [03]
(b) Explain the principle of minimum potential energy with a suitable example. [04]
(c) Discuss the Isoparametric formulation for a bar element [07]
Q.5
(a) Justify your answer [03]
--- Content provided by FirstRanker.com ---
- Concentrated load acting point
- Cross-section changing point
- Different material intersections
(b) State whether plane stress or plane strain elements can be used to model the following structures. Justify your answer. [04]
- A wall subjected to wind load
- A wrench subjected to a force in the plane of the wrench.
--- Content provided by FirstRanker.com ---
(c) Given that E=210 GPa and I=4x10-4 m4, cross section of the beam is constant. Determine the deflection and slope at point B. calculate the reaction forces and moments. [07]
OR
Q.5
--- Content provided by FirstRanker.com ---
(a) Explain Constant Strain Triangle. [03]
(b) FEA leads to obtaining an approximate solution. Explain. [04]
(c) Discuss the differences between CST and LST with examples. [07]
--- Content provided by FirstRanker.com ---
This download link is referred from the post: GTU BE/B.Tech 2019 Winter Question Papers || Gujarat Technological University