SEMM 1113 Mechanics of Solid 1

W1: EXTERNAL AND INTERNAL FORCES

Review FBD in 2D, Two and Three Body Force Member
Internal Forces
Distributed Load
FBD in 3D environment

W2 – W4 NORMAL AND DIRECT SHEAR

Normal and direct shear stress
Allowable stress

STRESS AND STRAIN

Deformation
Strain – Normal and Shear Strain
Mechanical Properties of Materials
Tension and Compression Test
Stress Strain Diagram
Hooke’s Law, Strain Energy, Poisson’s Ratio

AXIAL LOAD

Saint-Venant’s Principle
Statically determinate Structures
Statically indeterminate Structures
Temperature Stresses
Principle of Superposition
Stress Concentration

W5 TORSION

Shear Torsional Stress Formula
Torque from power transmission of circular shaft
Angle of twist.
Statically determinate

W6 – W8 SHEAR FORCE AND BENDING MOMENT DIAGRAM

Development of shear force and bending moment equations.
Drawing of shear force and bending moment diagrams
Shear force and graphical method: Graphical Method

W9 BENDING STRESS

The flexural formula
Second moment of area
Bending of composite beams

W10 TRANSVERSE SHEAR STRESS IN BEAMS

The Shear Stress Formula

W11 – W12 BEAM DEFLECTION

Elastic curve equation
Slope and deflection equations by integration method.
Sign convention.
Singularity function – Macaulay’s method.
Statically indeterminate beams.
Extended and compensation loads.

W13 – 14 COMBINED LOADING.

Stress elements for axially loaded bar, shaft in torsion and beam in bending.
Complex stresses due to combined loading

Text Books:  Hibbeler, R.C, 2013, Mechanics of Materials, 9th edition SI Units, Prentice Hall

 

Grading Scheme

                Test 1     :                                             25%

                Test 2     :                                             25%

                Final Exam:                                         40%

Assignment & Quizzes:                                     5%

Case Study (Group):                                           5%