## PT3305 Syllabus - Solid Mechanics Of Technologists - 2021 Regulation Anna University

PT3305

SOLID MECHANICS OF TECHNOLOGISTS

LTPC

3003

OBJECTIVES:
• To develop capacity to predict the effect of force and motion in the course of carrying out the design functions of engineering.
• To apply the mathematical knowledge to calculate the deformation behavior of beams.
• To understand the effect of torsion on shafts and springs
• To understand thin cylinders and theories of failure
• To analyze a complete two dimensional state of stress.

UNIT I

STATICS OF PARTICLES

9

Introduction – Units and Dimensions – Laws of Mechanics – Lami’s theorem, Parallelogram and triangular Law of forces – Vectorial representation of forces – Vector operations of forces - additions, subtraction, dot product, cross product – Coplanar Forces – rectangular components – Equilibrium of a particle – Forces in space – Equilibrium of a particle in space – Equivalent systems of forces – Principle of transmissibility.

UNIT II

EQUILIBRIUM OF RIGID BODIES

9

Free body diagram – Types of supports –Action and reaction forces – 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 – Single equivalent force -Equilibrium of Rigid bodies in two dimensions – Equilibrium of Rigid bodies in three dimensions

UNIT III

DEFLECTION OF BEAMS

9

Double integration method - Macaulay's methods - Area moment method - conjugate beam method for computation of slopes and deflections of determinant beams.

UNIT IV

TORSION

9

Torsion of Circular and Hollow Shafts – Stresses and Deflection in Circular Solid and Hollow Shafts – strain energy due to torsion – Power transmitted to shaft – Shaft in series and parallel – Closed and Open Coiled helical springs – Springs in series and parallel.

UNIT V

THIN CYLINDERS AND THEORIES OF FAILURE

9

Thin cylinders – Stresses in thin cylindrical shell due to internal pressure – circumferential and longitudinal stresses - Theories of failure - maximum Principal stress - maximum Principal strain - Shear stress - Total strain energy - Energy distortion theories.

TOTAL: 45 PERIODS

OUTCOMES:: Upon completion of the course, students will be able to
On successful completion of this course, the student will be able to  Illustrate the vectorial and scalar representation of forces and moments  Analyse the rigid body in equilibrium  Apply the mathematical knowledge in determining the deformation behavior of beams  Thoroughly understand the effect of torsion on shafts and springs.  Analyze a complex two dimensional state of stress and to analyze the failure mode.

TEXT BOOKS:
1. Bansal, R.K., "Strength of Materials", Laxmi Publications (P) Ltd., 2007 2. Jindal U.C., "Strength of Materials", Asian Books Pvt. Ltd., New Delhi, 2007

REFERENCES:
1. Egor. P.Popov “Engineering Mechanics of Solids” Prentice Hall of India, New Delhi, 2001 2. Subramanian R., "Strength of Materials", Oxford University Press, Oxford Higher Education Series, 2007. 3. Hibbeler, R.C., "Mechanics of Materials", Pearson Education, Low Price Edition, 2007 4. Ferdinand P. Been, Russell Johnson, J.r. and John J. Dewole "Mechanics of Materials", Tata McGraw Hill Publishing ‘co. Ltd., New Delhi, 2005.