GE 9151 ENGINEERING MECHANICS
(Common to Civil, Geoinformatics and Agriculture & Irrigation Engineering)
L T P C
3 1 0 4
OBJECTIVE:
At the end of this course the student should be able to understand the vectorial and
scalar representation of forces and moments, static equilibrium of particles and rigid
bodies both in two dimensions and also in three dimensions. Further, the student should
understand the principle of work and energy. The student should be able to comprehend
the effect of friction on equilibrium. The student should be able to understand the laws of
motion, the kinematics of motion and the interrelationship. The student should also be
able to write the dynamic equilibrium equation. All these should be achieved both
conceptually and through solved examples.
UNIT I BASICS & STATICS 12
Introduction - Units and Dimensions - Laws of Mechanics – Lame’s theorem,
Parallelogram and triangular Law of forces – Vectors – Vectorial representation of forces
and moments – Vector operations on forces, dot product and cross product - Coplanar 22
Forces – Resolution and Composition of forces – Equilibrium of a forces – Forces in
space - Equilibrium in space - Equivalent systems of forces – Principle of transmissibility
– Single equivalent force
UNIT II EQUILIBRIUM OF RIGID BODIES 12
Free body diagram – Types of supports and their reactions – requirements of stable
equilibrium – Moments and Couples – Moment of a force about a point and about an
axis – Vectorial representation of moments and couples – Scalar components of a
moment – Varignon’s theorem - Equilibrium of Rigid bodies in two dimensions –
Equilibrium of Rigid bodies in three dimensions – Examples
UNIT III PROPERTIES OF SURFACES AND SOLIDS 12
Determination of Areas and Volumes – First moment of area and the Centroid of
standard sections – T section, I section, Angle section, Hollow section – second and
product moments of plane area – Rectangle, triangle, circle - T section, I section, Angle
section, Hollow section – Parallel axis theorem and perpendicular axis theorem – Polar
moment of inertia – Principal moments of inertia of plane areas – Principal axes of inertia
- Mass moment of inertia – Derivation of mass moment of inertia for rectangular solids,
prism, rods, sphere from first principle – Relation to area moments of inertia.
UNIT IV DYNAMICS OF PARTICLES 12
Displacements, Velocity and acceleration, their relationship – Relative motion –
Curvilinear motion – Newton’s law – Work Energy Equation of particles – Impulse and
Momentum
UNIT V CONTACT FRICTION AND ELEMENTS OF RIGID BODY DYNAMICS 12
Frictional force – Laws of Coloumb friction – simple contact friction – Rolling friction –
Belt friction Translation and Rotation of Rigid Bodies – Velocity and acceleration –
General Plane motion – Impact of elastic bodies
L: 45+T=15 TOTAL : 60 PERIODS
TEXT BOOK
1. Beer,F.P and Johnson Jr. E.R, “Vector Mechanics for Engineers”, Vol. 1 Statics and
Vol. 2 Dynamics, McGraw-Hill International Edition, 2007.
REFERENCES
1. Irving H. Shames, Engineering Mechanics - Statics and Dynamics, IV Edition – PHI /
Pearson Education Asia Pvt. Ltd., 2003
2. Hibbeller, R.C., Engineering Mechanics, Vol. 1 Statics, Vol. 2 Dynamics, Pearson
Education Asia Pvt. Ltd., 2000.
3. Ashok Gupta, Interactive Engineering Mechanics – Statics – A Virtual Tutor
(CDROM), Pearson Education Asia Pvt., Ltd., 2002
4. J.L. Meriam & L.G. Kraige, Engineering Mechanics Vol. I & Vol. II, V edition, John
Wiley & Sons, 2006.
5. P. Boresi & J. Schmidt, Engineering Mechanics Statics & Dynamics, Micro Print Pvt.
Ltec., Chennai, 2004.
(Common to Civil, Geoinformatics and Agriculture & Irrigation Engineering)
L T P C
3 1 0 4
OBJECTIVE:
At the end of this course the student should be able to understand the vectorial and
scalar representation of forces and moments, static equilibrium of particles and rigid
bodies both in two dimensions and also in three dimensions. Further, the student should
understand the principle of work and energy. The student should be able to comprehend
the effect of friction on equilibrium. The student should be able to understand the laws of
motion, the kinematics of motion and the interrelationship. The student should also be
able to write the dynamic equilibrium equation. All these should be achieved both
conceptually and through solved examples.
UNIT I BASICS & STATICS 12
Introduction - Units and Dimensions - Laws of Mechanics – Lame’s theorem,
Parallelogram and triangular Law of forces – Vectors – Vectorial representation of forces
and moments – Vector operations on forces, dot product and cross product - Coplanar 22
Forces – Resolution and Composition of forces – Equilibrium of a forces – Forces in
space - Equilibrium in space - Equivalent systems of forces – Principle of transmissibility
– Single equivalent force
UNIT II EQUILIBRIUM OF RIGID BODIES 12
Free body diagram – Types of supports and their reactions – requirements of stable
equilibrium – Moments and Couples – Moment of a force about a point and about an
axis – Vectorial representation of moments and couples – Scalar components of a
moment – Varignon’s theorem - Equilibrium of Rigid bodies in two dimensions –
Equilibrium of Rigid bodies in three dimensions – Examples
UNIT III PROPERTIES OF SURFACES AND SOLIDS 12
Determination of Areas and Volumes – First moment of area and the Centroid of
standard sections – T section, I section, Angle section, Hollow section – second and
product moments of plane area – Rectangle, triangle, circle - T section, I section, Angle
section, Hollow section – Parallel axis theorem and perpendicular axis theorem – Polar
moment of inertia – Principal moments of inertia of plane areas – Principal axes of inertia
- Mass moment of inertia – Derivation of mass moment of inertia for rectangular solids,
prism, rods, sphere from first principle – Relation to area moments of inertia.
UNIT IV DYNAMICS OF PARTICLES 12
Displacements, Velocity and acceleration, their relationship – Relative motion –
Curvilinear motion – Newton’s law – Work Energy Equation of particles – Impulse and
Momentum
UNIT V CONTACT FRICTION AND ELEMENTS OF RIGID BODY DYNAMICS 12
Frictional force – Laws of Coloumb friction – simple contact friction – Rolling friction –
Belt friction Translation and Rotation of Rigid Bodies – Velocity and acceleration –
General Plane motion – Impact of elastic bodies
L: 45+T=15 TOTAL : 60 PERIODS
TEXT BOOK
1. Beer,F.P and Johnson Jr. E.R, “Vector Mechanics for Engineers”, Vol. 1 Statics and
Vol. 2 Dynamics, McGraw-Hill International Edition, 2007.
REFERENCES
1. Irving H. Shames, Engineering Mechanics - Statics and Dynamics, IV Edition – PHI /
Pearson Education Asia Pvt. Ltd., 2003
2. Hibbeller, R.C., Engineering Mechanics, Vol. 1 Statics, Vol. 2 Dynamics, Pearson
Education Asia Pvt. Ltd., 2000.
3. Ashok Gupta, Interactive Engineering Mechanics – Statics – A Virtual Tutor
(CDROM), Pearson Education Asia Pvt., Ltd., 2002
4. J.L. Meriam & L.G. Kraige, Engineering Mechanics Vol. I & Vol. II, V edition, John
Wiley & Sons, 2006.
5. P. Boresi & J. Schmidt, Engineering Mechanics Statics & Dynamics, Micro Print Pvt.
Ltec., Chennai, 2004.
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