Test 1 fem
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The document outlines the questions for a finite element method exam, with the deadline being July 28, 2016. It includes 7 questions assessing various concepts in finite element analysis, such as the steps in FEM, simplex and complex elements, the theorem of stationary potential energy, differential equations of equilibrium, strain-displacement relationships, and plane stress/strain problems. It also includes a problem to determine displacements and reactions for a system under the principle of minimum potential energy.
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![Test-1( DEAD LINE TO SUBMIT ASSIGNMENT IS 28/07/2016)
Max Marks: 45 Time: 100 Min
1) Explain in detail the steps involved in Finite element method (F .E. M) [10M]
2) Explain simplex and complex and multiplex elements? [5 M]
3) Describe the theorem of stationary potential energy. [5 M]
Solve for the nodal displacement and support reactions, using the principle of Min.
Potential Energy for the system shown in Figure. [5 M]
4) Write the differential equations of equilibrium for a 2-dimensional stress system.and
3-dimensional stress system. [3 M]
5) Develop strain – displacement relationship for a 3D elastic body. [3 M]
6) Differentiate between plane stress and plane strain problem and derive the constitutive
matrix for both the conditions. [10 M]
7) If a displacement field is described by u = (-x2+2y2+6xy) ×10-4; v= (3x+6y-y2) × 10-4
determine strain in x direction, strain in y direction and shear strain in xy plane.
[4 M]
----------------------------------------ALL THE BEST------------------------------------
K2K1 K3
20kN
10kN
1
2
3
4
K1=1100kN/m
K2=1200kN/m
K3=1300kN/m](https://image.slidesharecdn.com/test1fem-160927175318/85/Test-1-fem-1-320.jpg)
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Test 1 fem
- 1. Test-1( DEAD LINE TO SUBMIT ASSIGNMENT IS 28/07/2016) Max Marks: 45 Time: 100 Min 1) Explain in detail the steps involved in Finite element method (F .E. M) [10M] 2) Explain simplex and complex and multiplex elements? [5 M] 3) Describe the theorem of stationary potential energy. [5 M] Solve for the nodal displacement and support reactions, using the principle of Min. Potential Energy for the system shown in Figure. [5 M] 4) Write the differential equations of equilibrium for a 2-dimensional stress system.and 3-dimensional stress system. [3 M] 5) Develop strain – displacement relationship for a 3D elastic body. [3 M] 6) Differentiate between plane stress and plane strain problem and derive the constitutive matrix for both the conditions. [10 M] 7) If a displacement field is described by u = (-x2+2y2+6xy) ×10-4; v= (3x+6y-y2) × 10-4 determine strain in x direction, strain in y direction and shear strain in xy plane. [4 M] ----------------------------------------ALL THE BEST------------------------------------ K2K1 K3 20kN 10kN 1 2 3 4 K1=1100kN/m K2=1200kN/m K3=1300kN/m