Download GTU (Gujarat Technological University) BE/BTech (Bachelor of Engineering / Bachelor of Technology) 2018 Winter 7th Sem New 2171916 Applied Mechanics Of Solid Previous Question Paper
1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VII (NEW) EXAMINATION ? WINTER 2018
Subject Code: 2171916 Date: 15/11/2018
Subject Name: Applied Mechanics of Solid
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 (a) Define state of stress at a point. 03
(b) Justify the statement ?Principal planes are orthogonal.? 04
(c) The state of stress at a point is characterized by the components
100 , 40 , 80 , 0
x y z xy yz zx
MPa MPa MPa ? ? ? ? ? ? ? ? ? ? ? ? ?
Determine the extremum values of shear stresses, their associated normal
stresses, octahedral shear stress and its associated normal stress.
07
Q.2 (a) Write the use of FOS in design. 03
(b) List out the theories of failure and explain any one of them. 04
(c) Explain strain deviator and its invariants. 07
OR
(c) Derive differential equations of equilibrium. 07
Q.3 (a) Define the state of pure shear. 03
(b) Explain the plane stress and plane strain. 04
(c) Explain Airy stress function in polar coordinates. 07
OR
Q.3 (a) Explain Circular Polariscope. 03
(b) What do you mean by the principal of virtual work? 04
(c) Explain the Mohr?s circle for three dimensional state of stress. 07
Q.4 (a) Write equilibrium equations for plane stress state. 03
(b) Explain stress strain relation in terms of plastic flow 04
(c) The cubic element is subjected to the following state of stress
100 , 20 , 40 , 0
x y z xy yz zx
MPa MPa MPa ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Assume the material is homogenous and isotropic. Determine the
principal shear strains and octahedral shear strain, take E = 2 ? 10
5
MPa and 0.25. ? ?
07
OR
Q.4 (a) Explain Bouschinger effect. 03
(b) Write a short note on octahedral stresses. 04
(c) Explain the stress integration of Drucker - Prager material model 07
Q.5 (a) What do you mean by principal of super position? 03
(b) Explain the general nature of yield locus. 04
(c) Derive Saint Venant?s equations of compatibility. 07
OR
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1
Seat No.: ________ Enrolment No.___________
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER ?VII (NEW) EXAMINATION ? WINTER 2018
Subject Code: 2171916 Date: 15/11/2018
Subject Name: Applied Mechanics of Solid
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 (a) Define state of stress at a point. 03
(b) Justify the statement ?Principal planes are orthogonal.? 04
(c) The state of stress at a point is characterized by the components
100 , 40 , 80 , 0
x y z xy yz zx
MPa MPa MPa ? ? ? ? ? ? ? ? ? ? ? ? ?
Determine the extremum values of shear stresses, their associated normal
stresses, octahedral shear stress and its associated normal stress.
07
Q.2 (a) Write the use of FOS in design. 03
(b) List out the theories of failure and explain any one of them. 04
(c) Explain strain deviator and its invariants. 07
OR
(c) Derive differential equations of equilibrium. 07
Q.3 (a) Define the state of pure shear. 03
(b) Explain the plane stress and plane strain. 04
(c) Explain Airy stress function in polar coordinates. 07
OR
Q.3 (a) Explain Circular Polariscope. 03
(b) What do you mean by the principal of virtual work? 04
(c) Explain the Mohr?s circle for three dimensional state of stress. 07
Q.4 (a) Write equilibrium equations for plane stress state. 03
(b) Explain stress strain relation in terms of plastic flow 04
(c) The cubic element is subjected to the following state of stress
100 , 20 , 40 , 0
x y z xy yz zx
MPa MPa MPa ? ? ? ? ? ? ? ? ? ? ? ? ? ?
Assume the material is homogenous and isotropic. Determine the
principal shear strains and octahedral shear strain, take E = 2 ? 10
5
MPa and 0.25. ? ?
07
OR
Q.4 (a) Explain Bouschinger effect. 03
(b) Write a short note on octahedral stresses. 04
(c) Explain the stress integration of Drucker - Prager material model 07
Q.5 (a) What do you mean by principal of super position? 03
(b) Explain the general nature of yield locus. 04
(c) Derive Saint Venant?s equations of compatibility. 07
OR
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2
Q.5 (a) Describe the term Strain Hardening. 03
(b) Explain the work hardening of a material. 04
(c) Explain Normality, Convexity and Uniqueness for an elastic solid. 07
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This post was last modified on 20 February 2020