4CE1   STRENGTH OF MATERIALS AND MECHANICS OF STRUCTURES–II

L-3    T-1

UNIT 1

Deflection of Beams :

Differential relation between load, shear force, bending moment, slope

deflection. Slope &

deflection in determinate beams using double integration method, Macaulay’s method,

area moment method and conjugate beam method.

UNIT 2

Fixed Beams & Continuous Beams :

Analysis of fixed beams & continuous beams by three moment

theorem and area moment method.

UNIT 3

Torsion :

Elementary concepts of torsion, shear stress in solid and hollow circular shafts, angle of twist,

power transmitted by a  shaft, combined bending and torsion; Springs: stiffness of springs, close coiled

helical springs, springs in series and  parallel, laminated plate springs.

Membrane Analysis :

Stress and strain in thin cylindrical & spherical shells under internal pressures.

UNIT 4

Introduction to Energy Methods :

Strain energy due to bending, shear and torsion; Castigleno’s  theorems,

unit load  method & their applications in analysis of redundant frames upto two degree of redundancy and

deflection of

determinate beams, frames and trussed beams; Stresses due to temperature & lack of fit in

redundant frames. Theories of Failures

UNIT 5

Vibrations :

Stress tensor and failure criterion. Elementary concepts of structural vibration, degree of

freedom, free vibration of  undamped single degree of freedom systems. Newton’s

law of motion, D’Almbert’s principle, solution of differential equation of motion, frequency &

period of vibration, amplitude of motion; Damped  single degree of freedom system: types of

damping, analysis of viscously damped, under-damped, over-damped & critically-damped  systems,

logarithmic decrement.