Mechanics of Solids-1 (PDF)

Mechanics of Solids-1

Table of Content

Course Name: Mechanics of Solids-1                                  

Credit Hour:    3+1                                                                             

Course Instructor: Engr. Shad Muhammad

Objectives:

  • To enable students to learn fundamentals regarding strength of materials.
  • To enhance skills of utilizing material of appropriate strength for civil engineering application.

Weekly Schedule of Course Contents:

Week

Topic

Assignments & Quizzes

1

General Concepts: Stress

Method of Section

Definition of Stress

Stress Tensor

Stress Analysis of Axially Loaded Bars

Maximum Normal Stress in Axially Loaded Bars

Shear Stresses

Analysis of Normal and Shear Stresses

 

2

Introduction to Strain

The Tension Test and the Normal Strain

Stress-Strain Relationships

Hooke’s Law

Poisson’s Ratio

Thermal Strain and Deformation

Other Idealization of Constitutive Relations

Linearly Viscoelastic Materials

Cyclic Loading: Fatigue

Assignment #1

3

Axial Deformation of Bars: Statically Determinate Systems

Introduction

Deformation of Axially Loaded Bars

Elastic Strain Energy for Uniaxial Stress

Dynamic and Impact Loads

 

4

Generalized Hooke’s Law: Pressure Vessels

Introduction

Constitutive Relationships for Shear

Generalized Concepts of Strain and Hooke’s Law

E, G, v Relationships

Dilation and Bulk Modulus

Quiz #1

5

Thin-walled Pressure Vessels

Cylindrical and Spherical Pressure Vessels

Thick-walled Pressure Cylinders

Solution of the General Problem

Special Cases

Assignment #2

6

Beam Statics

v  Introduction

v  Calculation of Reactions

v  Direct Approach for P, V and M

v  Axial Force in Beams

v  Shear in Beams

v  Bending Moments in Beams

v  P, V and M Diagrams

 

7

Symmetric Beam Bending

Introduction

Basic Kinematic Assumption

The Elastic Flexure Formula

Computation of the Moment of Inertia

Applications of the Elastic Flexure Formula

Quiz #2

8

Contingency Time-

 

9

Mid Term Exams

10

Shear Stresses in Beam

Introduction

Shear Flow

The Shear Stress Formula for Beams

Warpage of Plane Sections Due to Shear

Some Limitations of Shear Stress Formula

Shear Center

Assignment #3

11

Torsion

Introduction

Torsion of Circular Elastic Bars

Basic Assumptions for Circular Members

The Torsion Formula

Stress Concentrations

 

12

Torsion of Inelastic Circular Bars

Shear Stresses and Deformations in Circular Shafts in Inelastic Range

Torsion of Solid Non-Circular Members

Torsion of Thin-walled Tubular Members

Quiz #3

13

Columns

Introduction

Examples of Instability

Criteria for Stability of Equilibrium

Assignment #4

14

Column Buckling Theory

Euler Load for Columns with Pinned Ends

Euler Load for Columns with Different End Restraints

 

15

Limitations of the Euler Formulas

Generalized Euler Buckling-Load Formulas

Beam-Columns

 

16

Classical Energy Methods

Introduction

General Remarks

Strain Energy and Complementary Strain Energy Theorems

Elastic Strain Energy

Elastic Energy for Buckling Loads

Quiz #4

17

-Contingency Time-

 

18

Final Term Exams

 

Recommended Books:

 

  1. Pytel, A. & F. L. Singer, Strength of Material, Harper & Row Publishers, New York.
  2. Hibbler, R. C., Mechanics of Materials, Prentice Hall, 6th Edition, 2004.
  3. Warnock, F. V., Benham, P. P., Mechanics of Solids and Strength of Materials, Pitman Publishing, 1970.
  4. James M. Gere & Barry. J. Goodno, Mechanics of Materials, 7th Edition, 2008, CL Engineering James M. Gere & Stephen P. Timoshenko, Mechanics of Materials, 4th Edition, 1997, PWS Pub Co.
  5. Engineering Mechanics of Solids by Egor P. Popov
  6. James M. Gere & Stephen P. Timoshenko, Mechanics of Materials, 4th Edition, 1997, PWS Pub Co.

 

Grading Criteria:

Sessional Marks       

v  4 Assignments + 4 Quizzes

20%

10% Assignments, 10% Quizzes

Mid Term Marks     

30%

Final Term Marks

50%

Total Marks

100%

Class Attendance Policy: Class attendance policy is as per university rules.

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Past Papers

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