GTU BE/B.Tech 2018 Winter Question Papers || Gujarat Technological University
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Subject Code:2160609
BE - SEMESTER-VI (NEW) EXAMINATION - WINTER 2018
Subject Name:Computational Mechanics
Date:07/12/2018
Time: 02:30 PM TO 05:30 PM
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1 (a) Explain symmetry and anti-symmetry with neat sketches. 03
(b) Derive Sm matrix for beam member. 04
(c) Determine joint displacements for the beam shown in fig.1. Take EI = constant. 07
OR
Q.2 (a) Formulate combined joint load vector for the grid shown in fig.2. 03
(b) Explain various types of skeleton structures with their internal forces and deformations. 04
(c) Formulate Sms matrix for grid member. 07
OR
Q.3 Determine joint displacements and support reactions of the plane frame shown in fig.3. Take EI = 30000 kNm²,EA =2 x 10° kN. 14
Q.4 (a) Write steps of finite element analysis! 03
(b) Explain plane stress and plane strain problems. 04
(c) Find nodal displacements and element stresses of the bar shown in fig.4. Take E = 200GPa. 07
Q.4 (a) Explain process of discretization. 03
(b) Using potential energy approach, derive the equation [k]{q}={f}. 04
(c) Find nodal displacements and nodal reactions for the beam shown in fig.5. Take EI = constant. 07
Q.5 (a) Derive strain displacement matrix of CST element. 07
OR
Q.5 (a) Explain various types of non-linearity with neat sketches. 07
(b) For the plane stress element shown in fig.6, the nodal displacements are given as ul = 0.05mm, vl = 0.02mm, u2 = 0.0mm, v2 = 0.0mm, u3 = 0.04mm, v3 = 0.0lmm. Determine the element stresses. Take E =200GPa, v = 0.3, Use unit thickness for plane stress element. 07
A Firstranker's choice
Subject Code:2160609
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GUJARAT TECHNOLOGICAL UNIVERSITYBE - SEMESTER-VI (NEW) EXAMINATION - WINTER 2018
Subject Name:Computational Mechanics
Date:07/12/2018
Time: 02:30 PM TO 05:30 PM
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Total Marks: 70Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
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4. Draw neat sketch wherever necessary.Q.1 (a) Explain symmetry and anti-symmetry with neat sketches. 03
(b) Derive Sm matrix for beam member. 04
(c) Determine joint displacements for the beam shown in fig.1. Take EI = constant. 07
OR
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Q.1 (a) Determine joint displacements for the loaded beam shown in fig.1, if the support B sinks by 10mm. Take EI = 30000 kNm². 07Q.2 (a) Formulate combined joint load vector for the grid shown in fig.2. 03
(b) Explain various types of skeleton structures with their internal forces and deformations. 04
(c) Formulate Sms matrix for grid member. 07
OR
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Q.2 Determine joint displacements and member forces of the truss shown in fig.2. All the members have same axial rigidity. Take EA = constant. 14Q.3 Determine joint displacements and support reactions of the plane frame shown in fig.3. Take EI = 30000 kNm²,EA =2 x 10° kN. 14
Q.4 (a) Write steps of finite element analysis! 03
(b) Explain plane stress and plane strain problems. 04
(c) Find nodal displacements and element stresses of the bar shown in fig.4. Take E = 200GPa. 07
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ORQ.4 (a) Explain process of discretization. 03
(b) Using potential energy approach, derive the equation [k]{q}={f}. 04
(c) Find nodal displacements and nodal reactions for the beam shown in fig.5. Take EI = constant. 07
Q.5 (a) Derive strain displacement matrix of CST element. 07
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(b) Evaluate stiffness matrix of the CST element shown in fig.6. Assume plane stress condition and unit thickness of the element. Take E =2 x 10° N/mm², p=0.3. 07OR
Q.5 (a) Explain various types of non-linearity with neat sketches. 07
(b) For the plane stress element shown in fig.6, the nodal displacements are given as ul = 0.05mm, vl = 0.02mm, u2 = 0.0mm, v2 = 0.0mm, u3 = 0.04mm, v3 = 0.0lmm. Determine the element stresses. Take E =200GPa, v = 0.3, Use unit thickness for plane stress element. 07
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