# Strength of Materials – I(Conjugate Beam Method,Flexural Stresses)

 Course Code : ULZ0330 Author : uLektz University : General for All University Regulation : 2017 Categories : Civil Format : ePUB3 (DRM Protected) Type : eBook

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Description :Strength of Materials – I(Conjugate Beam Method,Flexural Stresses) of ULZ0330 covers the latest syllabus prescribed by General for All University for regulation 2017. Author: uLektz, Published by uLektz Learning Solutions Private Limited.

Note : No printed book. Only ebook. Access eBook using uLektz apps for Android, iOS and Windows Desktop PC.

##### Topics
###### UNIT I:SIMPLE STRESSES AND STRAINS

1.1 Deformable bodies - Elasticity and plasticity

1.2 Types of stresses and strains – Hooke‟s law - stress – strain diagram for mild steel – Working stress

1.3 Factor of safety -Lateral strain, Poisson’s ratio and volumetric strain - Elastic moduli and the relationship between them

1.4 Bars of varying section - composite bars – Temperature stresses

1.5 Strain energy – Resilience - Gradual, sudden - impact and shock loadings - imple applications

###### UNIT II:SHEAR FORCE AND BENDING MOMENT

2.1 Definition of beam – Types of beams - Concept of shear force and bending moment

2.2 S.F and B.M diagrams for cantilever - simply supported and overhanging beams subjected to point loads

2.3 Uniformly distributed load uniformly varying loads and combination of these loads -

2.4 Point of contra flexure -Relation between S.F., B.M and rate of loading at a section of a beam

###### UNIT III:FLEXURAL STRESSES

3.1 Theory of simple bending – Assumptions - Derivation of bending equation: M/I =f/y = E/R – Neutral axis - Determination of bending stresses

3.2 Section modulus of rectangular and circular sections (Solid and Hollow), I,T,Angle and Channel sections - Design of simple beam sections

3.3 SHEAR STRESSES: Derivation of formula -Shear stress distribution across various beam sections like rectangular, circular, triangular, I, T and angle section

###### UNIT IV:DEFLECTION OF BEAMS

4.1 Bending into a circular arc - slope, deflection and radius of curvature - Differential equation for the elastic line of a beam - Double integration and Macaulay’s methods

4.2 Determination of slope and deflection for cantilever and simply supported beams subjected to point loads, U.D.L. uniformly varying load

4.3 Mohr’s theorems Moment area method - application to simple cases including overhanging beams - deflections of propped cantilevers for simple loading cases

###### UNIT V:CONJUGATE BEAM METHOD

5.1 Introduction – Concept of conjugate beam method -Difference between a real beam and a conjugate beam

5.2 Deflections of determinate beams with constant and different moments of inertia

5.3. DIRECT AND BENDING STRESSES : Stresses under the combined action of direct loading and bending moment, core of a section - determination of stresses in the case of chimneys

5.4 Retaining walls and dams - conditions for stability - stresses due to direct loading and bending moment about both axis