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ME 552 |
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Lecture |
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3 |
Year |
: II |
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Tutorials |
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1 |
Part |
: II |
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Practical |
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3/2 |
Course Objective:
To analyze and solve problems related to different types of stress and strain and to design basic components of structure and machines on the basis of stiffness, strength and stability.
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1. |
Introduction |
(2 hours) |
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1.1 |
Types of Stresses and strains |
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1.2 |
Normal stress, shear stress, bearing stress |
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1.3 |
Normal strain, shear strain |
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1.4 |
Ultimate stress, allowable stress, factor of safety |
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2. |
Stress and strain – axial loading |
(6 hours) |
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2.1 |
Stress – strain diagram |
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2.2 |
Hooke’s law, modulus of elasticity |
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2.3 |
Deformation under axial load |
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2.4 |
Temperature effects |
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2.5 |
Poisson’s Ratio |
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2.6 |
Multi-axial loading, Generalized Hooke’s Law |
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2.7 |
Bulk Modulus |
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2.8 |
Shearing Strain |
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2.9 |
Relationship among modulus of elasticity, shear stress and Poisson’s ratio |
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2.10 |
Stress Concentration and Plastic Deformation |
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2.11 |
Statically Indeterminate problems |
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3. |
Pure Bending |
(5 hours) |
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3.1 |
Introduction of pure or simple bending |
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3.2 |
Deformation of a symmetric member in pure bending in elastic range. |
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(Relationship between transverse loads, bending moment and bending stresses, |
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position of neutral axis and neutral layer) |
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3.3 |
Beams with composite section. |
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3.4 |
Stress concentration, plastic deformation |
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3.5 |
Eccentric axial loading |
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3.6 |
Unsymmetrical loading. |
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4. |
Torsion |
(5 hours) |
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4.1 |
Introduction Torque, Shaft, Torsion |
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4.2 |
Stress and deformation in a uniform shaft in elastic range |
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4.3 |
Torsion moment diagram. |
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4.4 |
Torsion formula for circular cross-section |
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4.5Statically Indeterminate Shaft
4.6Design of Transmission of shaft (by strength and stiffness)
4.7Comparison between hollow and solid shaft.
4.8Shafts in series and parallel
4.9Composite shafts
4.10Stress concentrations in circular shafts.
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5. |
Transverse loading |
(3 hours) |
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5.1 |
Basic assumptions and distribution of normal stress. |
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5.2 |
Relationship between shear stress and shear force in a beam. |
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5.3 |
Distribution of Shear stress in common beam sections. |
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6. |
Transformation of stress and strain |
(6 hours) |
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6.1 |
Uniaxial stress system, biaxial stress system, pure shear stress system. |
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6.2 |
General plane stress system, principal stresses, maximum shearing stress, |
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principal planes |
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6.3 |
Graphical method: Mohr’s circle for plane stress |
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6.4 |
Application to three- dimensional state of stress |
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6.5 |
Yield criteria for ductile and brittle material. |
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7. |
Deflection of Beams by Integration Method |
(6 hours) |
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7.1 |
General deflection equation for beams. |
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7.2 |
Deflection equation for beams with different end conditions. |
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7.3 |
Method for superposition. |
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7.4 |
Deflection in statically indeterminate beams. |
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7.5 |
Direct determination of the elastic curve from the load-distribution. |
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8. |
Deflection of Beams by Moment- area Method |
(4 hours) |
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8.1 |
Moment- Area Theorems. |
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8.2 |
Application to symmetrical structure and symmetrical loading, unsymmetrical |
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structure and symmetrical loading, symmetrical structure and unsymmetrical |
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loading. |
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8.3 |
Maximum deflection in beams. |
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9. |
Design of Beams and shafts |
( 5 hours) |
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9.1 |
Basic Consideration for the design of prismatic beams ( for ductile, brittle |
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material and for short and long beam) |
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9.2 |
Principal stresses in beams |
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9.3 |
Design of prismatic beams |
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10. |
Columns |
( 3 hours) |
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(3 hours) |
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10.1Introduction: Strut, column, buckling load
10.2Euler’s formula for different end conditions.
10.3Design of columns under central and eccentric loading.
Practical:
1.Material Properties in simple bending and compression test.
2.Torsion test: Behavior of ductile and brittle materials in torsion, shear modulus
3.Stresses and strains in thin wall cylinders
4.Column behavior and buckling: effect of end conditions on buckling load of beams.
5.Beam reactions: Relationship between deflection and transverse load, end conditions, Young’s modulus of elasticity, moment of inertia
References:
1.F.P. Beer and E. R. Johnson, “ Mechanics of Materials”, McGraw Hill,
2.R.K. Rajput, “ Strength of Materials”, S. Chand & Co. Ltd.,
3.E. P. Popov, “Engineering Mechanics of Solids”, Prentice Hall Inc., Englewood Cliffs, N. J.
Evaluation Scheme:
The questions will cover all the chapters of the syllabus. The evaluation scheme will be as indicated in the table below:
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Unit |
Chapter |
Topics |
Marks |
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1 |
1 & 2 |
all |
16 |
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2 |
3 & 4 |
all |
16 |
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3 |
5 & 6 |
all |
16 |
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4 |
7 & 8 |
all |
16 |
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5 |
9 & 10 |
all |
16 |
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Total |
80 |