Explain shape function ?
[4 marks]Explain the types of boundary conditions identified in Finite element analysis
[3 marks]Explain step by step procedure for finite element method in detail.
[7 marks]Astepped shaft is shown in figure. Determine stresses and the deflections in each of the sections. Take E=90GPa and axial force F =50KN.
[7 marks]Discuss the applications of Finite Element Method.
[4 marks]Discuss the different types of elements used in FEA with its application
[7 marks]What is element connectivity?
[3 marks]Differentiate between plane stress and plane strain analysis giving asuitable example.
[3 marks]Atwo member truss is as below.The cross sectional area of each member is 200 mm2 and the modulus of elasticity is 200 GPa.Determine the deflections and stresses in each of members.
[7 marks]Source of error in FEA.
[3 marks]Higher number of elements leads to getting a solution closer to the exact solution? Justify
[4 marks]Arectangular section steel bar is suspended vertically from top edge as shown in figure. Evaluate extension of bar under self weight. Assume modulus of elasticity as 210 Gpa and specific gravity of steel as 8.1
[7 marks]Differentiate between spring, bar and beam elements from general and application point of view.
[4 marks]Discuss the conditions necessary for solving a problem using Axisymmetric element.
[3 marks]Explain Isoparametric element.
[4 marks]Give Potential Energy Approach to Derive Beam Element Equations.
[7 marks]Explain CST and LST elements.
[3 marks]Evaluate the shape function N N N 1, 2, 3.
[4 marks]Differentiate Plane Frames element with beam element. Write element stiffness matrix K ,transformation matrix Land load vector F.
[7 marks]Define axissymmetric elements.
[3 marks]Give the practical application of axisymmetric elements.
[4 marks]Determine the global stiffness matrix and global load vector in the truss shown in figure. The cross-sectional area of each member is 2002 mm2 and modulus of elasticity is 200 GPa. Assume α = 12 * 10-6 per °C.
[7 marks]How 3D problems can be reduced to a 2D approach in finite element method ?
[3 marks]How are the thermal effects considered in the analysis of 1 d linear elements.
[4 marks]An axial load of F=400KN is applied at 20°Cto the rod as shown in figure.The temperature is then raised to 50°C.The properties of elements are as shown in table. Determine nodal displacements. Component Element -1 Element -2 MATERIAL ALUMINIUM STEEL CROSS 900 mm2 1200 mm2 SECTIONAL AREA coefficient of 2.3 * 10-6 11.7 * 10-6 thermal expansion per °C. per °C. Young’s Modulus (Gpa) 70 200
[7 marks]