# 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, 9*^{th}* edition SI Units, Prentice Hall*

Grading Scheme

Test 1 : 25%

Test 2 : 25%

Final Exam: 40%

Assignment & Quizzes: 5%

Case Study (Group): 5%