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UPTU Syllabus of STRENGTH OF MATERIALS

EME- 302 STRENGTH OF MATERIALS

UNIT-I
Compound stress and strains: Introduction, state of plane stress, Principal stress and
strain, Mohr’s stress circle. 3
3-D Stress, Theory of failure, Castinglion’s Theorem, Impact load: Threedimensional
state of stress & strain, equilibrium equations. Generalized Hook’s Law.
Theories of Failure. Castigliano’s Theorem. Impact load & stresses. 5

UNIT –II
Stresses in Beams: Review of pure Bending. Direct and shear stresses in beams due
to transverse and axial loads, composite beams. 2
Deflection of Beams: Equation of elastic curve, cantilever and simply supported
beams, Macaulay’s method, area moment method, fixed and continuous beams. 4
Torsion: Review of Torsion, combined bending & torsion of solid & hollow shafts. 2
15
UNIT-III
Helical and Leaf Springs: deflection of springs by energy method, helical springs under
axial load and under axial twist (respectively for circular and square cross sections) axial
load and twisting moment acting simultaneously both for open and closed coiled springs,
laminated springs. 4
Columns and Struts: Combined bending and direct stress, middle third and middle
quarter rules. Struts with different end conditions. Euler’s theory and experimental
results, Ranking Gardon Formulae, Examples of columns in mechanical equipments and
machines. 4
UNIT-IV
Thin cylinders & spheres: Hoop and axial stresses and strain. Volumetric strain. 2
Thick cylinders: Radial, axial and circumferential stresses in thick cylinders subjected
to internal or external pressures, Compound cylinders. Stresses in rotating shaft and
cylinders. Stresses due to interference fits.
UNIT-V
Curved Beams: Bending of beams with large initial curvature, position of neutral axis for
rectangular, trapezoidal and circular cross sections, stress in crane hooks, stress in
circular rings subjected to tension or compression. 4
Unsymmetrical Bending: Properties of beam cross-section, slope of neutral axis,
stress and deflection in unsymmetrical bending, determination of shear center and
flexural axis(for symmetry about both axis and about one axis) for I-section and channelsection.

Books :
1. Mechanics of Materials by Pytel
2. Strength of Materials by Ryder
3. Strength of Materials by Timoshenko and & Yσungs
4. Mechanics of Materials by Bear Jhonson

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