gate

 gate Analysis Paper

GUJARAT TECHNICAL UNIVERSITY

B. E. INITIALLY YEAR

Subject matter Name: Mechanics of Hues

Subject Code: 110010

Subject

Sr.

No .

1

Introduction:

Total

Days

1

Scalar and vector quantities, Formula and resolution of vectors, System of products, Definition of space, time, particle, rigid physique, force. two

Fundamentals of Statics:

9

Force: Types of Makes, Characteristics of your force, Approach to forces. Coplanar concurrent pushes: Resultant of coplanar contingency force system by synthetic method only- Law of parallelogram of forces, Rules of triangle of causes, Law of polygon of forces, Make up and resolution of forces, Equilibrium conditions for coplanar concurrent makes, Equilibrant, Free of charge body diagrams, Lami's theorem.

Coplanar nonconcurrent forces: Occasions & couples, Characteristics of moment and couple, Equal couples, Pressure couple program, Varignon's theorem, Parallel makes, Resultant of non-concurrent forces by analytical method just, Equilibrium conditions of coplanar nonconcurrent power system, Equilibrant, Free body system diagrams.

a few

Truss

4

Analysis of plane truss, Static determinacy of aircraft truss, Techniques of analysis of truss, Absolutely no force associates, Analysis of simple determinate plane trusses using method of joints and method of areas.

4

Center of the law of gravity and moment of masse

6

Middle of gravity and centroid: Centroid of lines, airplane areas and volumes, Pappus – Guldinus first and second theorems.

Moment of inertia of planar cross-sections: Parallel & perpendicular responsable theorems, polar moment of inertia, radius of revolution, rotation of areas. 5

Friction

Theory of friction, Types of chaffing, Static and kinetic chaffing, Cone of friction, Angle of oubli, Coefficient of friction, Regulations of rubbing, Friction about inclined aircraft, ladder rubbing, wedge chaffing, belt and rope rubbing.

6

six

Simple strains & stresses

9

Normal/axial stresses: Tensile & compressive, Shear and complementary shear.

Strains: Thready, shear, horizontal, thermal and volumetric.

Elastic Constants: Modulus of firmness, Poisson's percentage, Modulus of rigidity and bulk modulus (Definitions only)

Analysis of normal anxiety & stresses: Homogeneous and composite pubs having uniform & stepped sections axial loads and thermal lots, hoop tensions, analysis of homogeneous prismatic bars underneath multidirectional tensions.

7

Statically determinate beams

4

Beams: Types of loads, Types of supports, Types of beams; Dedication of support reactions.

Bending moment and shear push: Relationship among loading, shear force & bending moment, Bending minute and shear force layouts for beams subjected to only three types of tons: i) focused loads ii) uniformly given away loads iii) couples and the combinations; Point of contraflexure. 8

Challenges in homogeneous beams

5

Bending anxiety in beams: Pure twisting, Theory of pure bending, Neutral axis, Moment of resistance, Romantic relationship between moment of resistance, Bending anxiety, moment of inertia, Radius of curvature and modulus of firmness; Section modulus.

Shear stress in beams: Horizontal shear stress, Romance between shear force, shear stress and moment of inertia; Horizontally shear pressure distribution blueprints across light beam section; common shear tension

9

Primary stresses

Synthetic solution for elements below axial and shear pressure: Normal, tangential and resulting stress in inclined aircraft, angle of obliquity of resultant stress, maximum shear stress, principal planes and principal strains, principal stresses in beams under bending and shear.

Laboratory Guidelines:

The students will probably be studying of following in laboratory hours; the same will probably be examined during practical assessments only.

(a) Simple Devices: Velocity percentage, mechanical benefit, efficiency, reversibility of devices, simple equipment such as levers, pulley and pulley hindrances, wheel and differential axle, Single purchase/double purchase crab, compound...

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