JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech III Year FINITE ELEMENT METHODS Previous Question Paper (August/September - 2024 - R16)
Note: i) Question paper consists of Part A, Part B. ii) Part A is compulsory, which carries 25 marks. In Part A, Answer all questions. iii) In Part B, Answer any one question from each unit. Each question carries 10 marks and may have a, b as sub questions.
Part A
State the field to which FEA solving procedure is applicable.
Answer
The Finite Element Analysis (FEA) procedure is applicable to field problems involving continuum mechanics, such as structural analysis, heat transfer, fluid flow, electromagnetic fields, and acoustics.
Define shape function and write down the shape function for one dimensional element.
Answer
A shape function is a mathematical function that interpolates the field variable (such as displacement) within an element based on the values at the nodal points. For a one-dimensional linear element of length L with nodes at x=0 and x=L, the shape functions are:
What is a truss element?
Answer
Sign in to view the complete answer paper.
Write the element stiffness matrix for beam element.
Answer
Sign in to view the complete answer paper.
What is an isoparametric element?
Answer
Sign in to view the complete answer paper.
Give examples of axi-symmetric problems.
Answer
Sign in to view the complete answer paper.
What is conductivity matrix?
Answer
Sign in to view the complete answer paper.
List out the examples of steady state heat transfer problems.
Answer
Sign in to view the complete answer paper.
Define consistent mass matrix.
Answer
Sign in to view the complete answer paper.
What are the convergent requirements?
Answer
Sign in to view the complete answer paper.
Part B
Establish the strain components εx, εy, γxy for the displacement field u = 3x2+2y2+xy and v = 3x+5y-2y2 at the point x = -2, y = 1.
Answer
Sign in to view the complete answer paper.
Discuss the basic steps involved in finite element analysis.
Answer
Sign in to view the complete answer paper.
Compute the nodal displacements at the support in the stepped bar subjected to an axial loads of P1=3000N and P2= 2000N as shown in figure 1. E= 2.1×105 MPa.
Answer
Sign in to view the complete answer paper.
Compute the displacements at nodes in elements shown in figure 2. Take E= 70000 N/mm2 and A=200 mm2.
Answer
Sign in to view the complete answer paper.
Show that the central deflection of the beam of length 'L' m (both the ends are fixed) carries a load of W at the center is given by WL3/192EI using FEM by dividing the beam into two elements?
Answer
Sign in to view the complete answer paper.
The (x, y) coordinates of the nodes i, j and k of a triangular element are (1,1), (4, 2) and (3, 5) respectively. The shape functions of a point P located inside the element are given by N1 = 0.15 and N2 = 0.25. Determine the x and y coordinates of the point P.
Answer
Sign in to view the complete answer paper.
Evaluate ∫[3ex+x2+1/(x+2)]dx over the limits -1 and +1 using one point and two point Gauss quadrature formulae.
Answer
Sign in to view the complete answer paper.
A composite wall consists of 40 mm thick wood, 100 mm glass fiber insulation and 10 mm thick plaster. Construct the global conductivity matrix. The thermal conductivity of wood, glass fiber and plaster are 0.17, 0.035 and 0.5 W/m K respectively.
Answer
Sign in to view the complete answer paper.
Derive the conductivity matrix for 2-D triangular element, if one face is exposed to a heat transfer coefficient ‘h’ at ambient temperature of T∞ and also derive the load vector?
Answer
Sign in to view the complete answer paper.
Discuss the methodology to solve the Eigen value problem for the estimation of natural frequencies of a stepped bar.
Answer
Sign in to view the complete answer paper.
Discuss the various mesh generation techniques used in FEM.
Answer
Sign in to view the complete answer paper.