STRENGTH OF MATERIALS Syllabus
STRENGTH OF MATERIALS

STRESS AND STRAINS

Concept of load, stresses and strains

Tensile, compressive and shear stresses and strains

Concept of elasticity, elastic limit and limit of proportionality
 Hook’s law
 Young’s modulus of elasticity
 Nominal stress
 Yield point, plastic stage
 Strain hardening
 Ultimate strength and breaking stress
 Percentage elongation
 Proof stress and working stress
 Factor of safety
 Lateral strain, Poisson’s ratio
 Volumetric strain
 Shear modulus
 Strain energy due to direct stresses
 Proof resilience and modulus of resilience

Stresses due to gradual, sudden and falling load
 Longitudinal and circumferential stress in seamless thin walled cylindrical shells (derivation of these formulas not required)


BEAMS AND BENDING STRESSES


Bending and shearing force
 Concept of beam, form of loading
 Concept of endsupports roller, hinged and fixed
 Concept of bending moment and shearing force
 BF and SF diagram for cantilever and simply supported beam with and without overhang subjected to concentrated and uniformly distributed load (UDL)

Bending Stresses
 Concept of bending stresses
 Theory of simple bending
 Use of equation M/I = σ/y = E/R
 Concept of moment of resistance
 Bending stress diagram
 Calculation of maximum bending in beams of rectangular, circular and I section
 Permissible bending stress, section modulus for rectangular, circular and symmetrical I section
 Comparison between I, rectangular and circular section with regard to the strength

Slope and Deflection
 Simple cases of slope and deflection in simply supported beam with UDL over whole of the length and a point load at the center
 Cantilever with UDL on whole length and a point load at the end (without derivation)
 Simple problems

Laminated spring (Semi elliptical type only)
 Determination of number of plates
 Maximum bending stress and deflection

Combined direct and bending stresses
 Simple cases of short columns of uniform section subject to eccentric loading with stress diagram


COLUMNS
 Concept of column, modes of failure
 Types of column
 Buckling load, crushing load
 Slenderness ratio
 Factors affecting strength of a column
 End restraints
 Effective length
 Strength of column by Euler formula without derivation
 Rankine Gordon formula (without derivation)

TORSION
 Concept of torsion, difference between torque and torsion
 Derivation and use of torsion equation T/J = τ/R = Gθ/L for circular shaft
 Shear stress diagram for solid and hollow circular shaft
 Comparison between solid and hollow shaft with regard to their strength and weight
 Power transmitted by shaft
 Concept of mean and maximum torque

HELICAL SPRINGS
 Closed coiled helical springs subjected to axial load
 Stress deformation
 Stiffness and angle of twist and strain energy
 Failing load on springs