Unit 1 Direct Stress & Strain

10 lecture hours

• 1.1 Direct stress
• Linear strain
• Elastic limit
• Hook’s law, Modulus of Elasticity or Young’s modulus
• Stress Strain curve for mild steel bar under tension with numerical problems. 1.2 Lateral stress and strain
• Poisson’s ratio
• Volumetric strain
• Bulk modulus
• relation between three moduli and numericals. 1.3 Basics Concepts of Shear Stress
• Shear Strain & Modulus of rigidity. 1.4 Concept of composite and compound section
• modular ratio and numericals. 1.5 Concept of Thermal stress and strain
• Thermal stresses for non- yielding and yielding condition with numericals. 1.6 Stresses due to gradual
• sudden and impact load
• corresponding deformation
• Strain energy
• Proof resilience and Modulus of resilience with numericals

Unit 2 Moment of Inertia

5 lecture hours

• Importance of Moment of Inertia. 2.2
• Axis of symmetry
• Centroidal axis and axis of reference. 2.3
• Parallel Axis Theorem & Perpendicular Axis Theorem 2.4
• Formulas to calculate Moment of Inertia of solid and hollow rectangle
• triangle shapes (without derivations). 2.5
• Moment of Inertia of symmetrical and asymmetrical I-section
• Channel section
• Angle section
• Hollow sections and Built up sections about Centroidal axis and any other reference axis using Parallel axis theorem. 2.6
• Polar Moment of Inertia of solid & hollow circular sections

Unit 3 S.F. & B. M. in Beam 10 20

• Program Name: Engineering Level: Diploma Branch: Civil Engineering Course / Subject Code : DI03006041 Course / Subject Name : Mechanics of Structures-I 3.1 Statically Determinate and statically indeterminate beam examples. 3.2 Concept of Bending Moment and Shear Force in beam. 3.3 Sagging and Hogging Bending Moment
• Positive and Negative Shear Force. 3.4 Calculation of Bending Moment and Shear Force at various sections of cantilever
• simply supported and overhang beam subjected to point load and/ or u.d.l. 3.5 S.F. & B.M
• Diagram for above beams 3.6 Point of Contra-flexure & its importance

Unit 4 Bending & Shear Stress in Beam

6 lecture hours

• 4.1 Concept and theory of pure bending
• Bending equation (without derivation)
• Section Modulus
• Bending stresses and their nature
• Bending stress distribution diagram. 4.2 Concept of moment of resistance and simple numerical problems using bending equation. 4.3 Shear stress equation (without derivation)
• relation between maximum and average Shear stress for rectangular and circular section. 4.4 Shear stress distribution for square
• hollow square
• angle sections
• channel section
• Simple numerical problems based on Shear equation

Unit 5 Slope and Deflection

4 lecture hours

• 5.1 Concept of Slope & Deflection of beams. 5.2 Flexural rigidity and its significance. 5.3 Formulas (without derivation) of maximum slope & deflection for cantilever beams subjected to point load at free end and u.d.l
• Over the entire span. 5.4 Formulas (without derivation) of maximum slope & deflection for simply supported beams subjected to point load at center and u.d.l. over the entire span

Unit 6 Analysis of Truss

6 lecture hours

• 6.1 Type of truss - Simple
• compound fink
• Howe truss
• Pratt truss
• North light truss
• king post truss
• queen post truss
• French truss
• Compare the simple truss with the beam. 6.2 Perfect
• deficient and redundant truss. 6.3 Analysis of different trusses to find out axial forces in members using analytical method (method of joint) and graphical method

Unit 7 Column & Strut 04 10

• Program Name: Engineering Level: Diploma Branch: Civil Engineering Course / Subject Code : DI03006041 Course / Subject Name : Mechanics of Structures-I 7.1 Column and Strut
• radius of gyration
• slenderness ratio
• Short Column and Long Column. 7.2 End conditions & effective length of column
• Mode of failure in column. 7.3 The limitations of Euler’s theory for short column
• Euler’s formula for crippling load of long columns and numericals. 7.4 Rankin’s formula for buckling load of short & long columns and numericals