# Strength of Materials Semester 3 (SE Second Year) BE Civil Engineering University of Mumbai Topics and Syllabus

CBCGS [2017 - current]
CBGS [2013 - 2016]
Old [2000 - 2012]

## Syllabus

100 Shear Force and Bending Moment in Beams
101 Axial Force
• Axial force, shear force and bending moment diagrams for statically determinate beams including beams with internal hinges for different types of loading
200 Stresses and Strains
201 Stresses, Strains
• Stresses, Strains,
• Modulus of elasticity (E),
• Modulus of rigidity (G),
• Bulk Modulus (K),
• Yield Stresses,
• Ultimate Stress,
• Factor of safety,
• shear stress,
• Poisson’s ratio
202 Relationship Between E, G and K
• bars of varying sections,
• deformation due to self weight,
• composite sections,
• temperature stress
300 Theory of Simple Bending
301 Flexure Formula for Straight Beam
• Flexure formula for straight beam,
• moment of inertia, transfer theorem,
• polar moment of inertia,
• simple problems involving application of flexure formula,
• section modulus, moment of resistance, flitched beams.
400 Strain Energy
• Strain energy due to axial force,
500 Shear Stresses in Beams
• Distribution of shear stress across plane sections commonly used for structural purposes, shear connectors
600 Theory of Simple Torsion
• Torsion in circular shafts-solid & hallow,
• stresses in shaft when transmitting power,
• closed coil helical spring under axial load.
700 Direct and Bending Stresses
• Application to member’s subjected to eccentric loads,
• core of section, problems on chimneys,
• retaining walls etc involving lateral loads.
800 Struts
• concept of buckling,
• Euler’s formula for struts with different support conditions,
• limitation, Euler’s and Rankine’s design formulae
900 Principal Planes and Stresses
901 General Equation for Transformation of Stress
• principal planes and principal stresses,
• maximum shear stress,
• stress determination using Mohr’s circle
902 Principal Stresses in Shafts
• Principal stresses in shafts subjected to combined torsion,
• bending & axial thrust, and concept of equivalent torsional and bending moment

1000 Thin Cylindrical and Spherical Shells
• Cylindrical and spherical shells under internal pressure.