Exam Details
| Subject | advanced mechanics of solids | |
| Paper | ||
| Exam / Course | computer science and engineering | |
| Department | ||
| Organization | Vardhaman College Of Engineering | |
| Position | ||
| Exam Date | December, 2017 | |
| City, State | telangana, hyderabad |
Question Paper
Hall Ticket No:
Question Paper Code B3701
(AUTONOMOUS) M. Tech I Semester Regular Examinations, December 2017
(Regulations: VCE-R15) ADVANCED MECHANICS OF SOLIDS
(Engineering Design) Date: 29 December, 2017 FN
Time: 3 hours
Max Marks: 70
Answer any FIVE Questions
Each Question carries equal marks
1.
Write a short note on shear center.
4M
Show that the shear centre for the section shown in Fig.1 is at measured from point 0.
Fig.1
10M
2.
What are the importances of study of unsymmetrical bending?
4M
A horizontal cantilever 2m long is constructed from the Z section shown below Fig.2. A load of 10kN is applied to the end of cantilever at an angle of 60° to the horizontal as shown. Assuming that no twisting moment is applied to the section, determine the stresses at points A B. Take Ixx= 48 x 10-6 m4 and IYY= 4.4 x 10-6 m4) Fig.2
10M
3.
What do you mean by curved beam? Explain in detail the difference between symmetrical bending and unsymmetrical bending.
7M
Explain Radial Stress in Curved Beams.
7M
4.
What is Prandtl's stress function? Derive the governing differential equation for a narrow rectangular cross section bar subjected to torsion in terms of the Prandtl's stress function.
9M
Compare effects of torsional loading on thin walled open and closed sections.
5M
5.
Derive the equilibrium equations for plane stress state.
7M
Derive an expression for bending of a cantilever beam loaded at the free end in rectangular co-ordinate system.
7M
Cont…2
6.
Derive the differential equilibrium equation in polar coordinates for two dimensional elastic bodies.
9M
Obtain the compatibility expression for two dimensional problems in polar coordinates.
5M
7.
A steel beam of a rectangular cross section, 180mm wide and 280mm thick, is resting on an elastic foundation whose modulus of foundation is 6.5N/mm2. This beam is subjected to a concentrated anti-clockwise moment of 0.5MNm at the center. Determine the maximum deflection and the maximum bending stresses in the beam. Assume Young's modulus, E=200 GPa and the Poisson's ratio, μ=0.3. Also, plot:
i. The deflected shape of the beam
ii. The variation in the bending moment along the axis of the beam
iii. The variation in the shear force along the axis of the beam
14M
8.
What is contact stress? Explain the different methods of computing contact stresses.
7M
Write a short note on Deflection of bodies in point contact.
7M
Question Paper Code B3701
(AUTONOMOUS) M. Tech I Semester Regular Examinations, December 2017
(Regulations: VCE-R15) ADVANCED MECHANICS OF SOLIDS
(Engineering Design) Date: 29 December, 2017 FN
Time: 3 hours
Max Marks: 70
Answer any FIVE Questions
Each Question carries equal marks
1.
Write a short note on shear center.
4M
Show that the shear centre for the section shown in Fig.1 is at measured from point 0.
Fig.1
10M
2.
What are the importances of study of unsymmetrical bending?
4M
A horizontal cantilever 2m long is constructed from the Z section shown below Fig.2. A load of 10kN is applied to the end of cantilever at an angle of 60° to the horizontal as shown. Assuming that no twisting moment is applied to the section, determine the stresses at points A B. Take Ixx= 48 x 10-6 m4 and IYY= 4.4 x 10-6 m4) Fig.2
10M
3.
What do you mean by curved beam? Explain in detail the difference between symmetrical bending and unsymmetrical bending.
7M
Explain Radial Stress in Curved Beams.
7M
4.
What is Prandtl's stress function? Derive the governing differential equation for a narrow rectangular cross section bar subjected to torsion in terms of the Prandtl's stress function.
9M
Compare effects of torsional loading on thin walled open and closed sections.
5M
5.
Derive the equilibrium equations for plane stress state.
7M
Derive an expression for bending of a cantilever beam loaded at the free end in rectangular co-ordinate system.
7M
Cont…2
6.
Derive the differential equilibrium equation in polar coordinates for two dimensional elastic bodies.
9M
Obtain the compatibility expression for two dimensional problems in polar coordinates.
5M
7.
A steel beam of a rectangular cross section, 180mm wide and 280mm thick, is resting on an elastic foundation whose modulus of foundation is 6.5N/mm2. This beam is subjected to a concentrated anti-clockwise moment of 0.5MNm at the center. Determine the maximum deflection and the maximum bending stresses in the beam. Assume Young's modulus, E=200 GPa and the Poisson's ratio, μ=0.3. Also, plot:
i. The deflected shape of the beam
ii. The variation in the bending moment along the axis of the beam
iii. The variation in the shear force along the axis of the beam
14M
8.
What is contact stress? Explain the different methods of computing contact stresses.
7M
Write a short note on Deflection of bodies in point contact.
7M
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