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Seat No.: Enrolment
GUJARAT TECHNOLOGICAL UNIVERSITY
PDDC SEMESTER-VII EXAMINATION WINTER 2018
Subject Code:X70606 Date: 26/11/2018
Subject Name: Advanced Structural Analysis
Time: 10:30 AM TO 01:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1

Determine joint displacements for the beam shown in fig.1. Take EI constant.
07

Derive SM matrix for grid member using usual notations.
07
Q.2

Determine joint displacements for the loaded beam shown in fig.1, if the support A rotates by 2o anticlockwise. Take EI 30 × 103 kNm2.
07

Explain geometrical and material non-linearity with appropriate examples.
07
OR

Explain concept of symmetry and anti-symmetry with suitable example of various structures and illustrative sketches.
07
Q.3

Determine joint stiffness matrix and combined load vector for the pane frame shown in fig.2 using concept of symmetry. Take EI 30 × 103 kNm2, EA 2 × 106 kN.
14
OR
Q.3

Determine joint displacements and member forces for the truss shown in fig.3. Take EA 2 × 105 kN.
14
Q.4

Write steps for solution of problem using finite element method. Describe process of discretization.
07

Find nodal displacements and element stresses for the bar shown in fig.4. Take E 2 × 105 N/mm2.
07
OR
Q.4

Explain plane stress and plane strain problems with their constitutive relationship.
07

Evaluate element stresses σx, σy and τxy for the CST element shown in fig.5, if the nodal displacements u2=0.05mm, v2=0.03mm, u3=0.04mm, v3=0. Assume plane stress condition and unit thickness of the element. Take E 2 × 105 N/mm2 and 0.3.
07
Q.5

Evaluate nodal displacements and nodal reactions for the beam shown in fig.1. Take EI constant.
07

Differentiate higher order element and mesh refinement.
07
OR
Q.5

Write C computer program to print rearranged joint stiffness matrix of continuous beam.
14

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