Seat No.:
GUJARAT TECHNOLOGICAL UNIVERSITY
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- SEMESTER- VI (New) EXAMINATION — WINTER 2019
Subject Code: 2160609
Date: 13/12/2019
Subject Name: Computational Mechanics
Time: 02:30 AM TO 05:00 PM
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Total Marks: 70
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
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- Enlist various steps of finite element method.
- Write the steps in detail to analyze plane truss by using stiffness ‘member approach.
- Explain how following issues are handled in analysis (i) Sinking of support (ii) Presence of inclined support
- Determine [SMS]i for the grid shown in figure.1.
- Explain symmetry and anti-symmetry with suitable examples.
- Explain various types of non-linearity with neat sketches.
OR - Derive member stiffness matrix of the frame member with usual notations.
- Formulate combined joint load vector for beam shown in figure 2
- Determine joint displacements for the beam shown in figure.2.
- Determine support reaction and draw SFD and BMD for the beam shown in figure.2.
OR - Formulate combined joint load vector for the frame shown in figure 3
- Determine joint displacements for the frame shown in figure.3
- Determine support reaction and draw SFD and BMD for the frame shown in figure.3
- What is Finite Element Method, Explain in detail? Also discuss advantages and disadvantages
- Explain meaning of convergence and convergence criteria in detail.
- Determine the joint displacements of the truss shown in figure-4 by member stiffness method. Assume that all members have the same axial rigidity AE=constant.
OR - Derive shape functions for 2-noded bar element.
- Determine the shape functions for a Constant Strain Triangular (CST) element in cartesian coordinate systems.
- Explain : [SMS], [SRF], [RT], {AJ}, {AE}, {AFC}, {AR}
- For the plane stress' CST element shown in figure-5, Determine the strain displacement matrix.
- For the plane stress CST element shown in figure-5, Determine the stiffness matrix.
- For the plane stress CST element shown in figure-5, Determine the load vector.
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OR - Using FEM, determine nodal displacements in elements for the Mild Steel bar assembly shown in the figure 6. consider E= 20000 N/mm?.
- Using FEM, determine stresses in elements for the Mild Steel bar assembly shown in the figure 6. consider E= 20000 N/mm®.
- Derive stiffness matrix for grid member using usual notations.
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Figure 1
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Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
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