CIE 202 – LAU – Package 1
August 30, 2021 20210904 8:41CIE 202 – LAU – Package 1
CIE 202 – LAU – Package 1
Mechanics of Materials is the branch of mechanics that studies the internal effects of stress and strain of a solid material that is subjected to external forces and moments.
In section 1, you will recall important concepts from Statics, especially how to find internal forces and draw shear and bending diagrams.
In section 2, you will learn about the different types of stresses that the material can be subjected to. Normal stresses, shear stresses, and bearing stresses are covered. Also, you will learn how to design the material not to fail against externally applied loads based on the allowable stress design.
In section 3, you will learn about deformations and strain as well as their types. You will learn how to calculate axial deformation, normal strain, shear deformation and shear strain. The objective of this chapter is to quantify the changes in shape and size of material subjected to external applied forces.
In section 4, you will learn about the mechanical properties of the material. Concepts such as strength, ductility, yielding, toughness, and rigidity are explained. Also, you will learn about the stressstrain diagrams and their importance in designing for a safe and sound structure. Parameters such as the modulus of elasticity and Poisson’s ratio are defined, and Hooke’s law is explained in depth. Moreover, you will learn about the behavior of the material upon load application followed by load removal. Permanent strain, recovered strain, elastic and inelastic phase are also explained in depth. You will also learn about how the material behaves when it is subjected to stresses in more than one direction, or what is known as the general state of stress.
In section 5, you will derive a formula for axial deformation as a function of the modulus of elasticity, the length of the material, the external applied load, and the area of normal stress. Moreover, you will learn about the response of axial deformations under temperature effects. You will also learn how to solve indeterminate structures using compatibility equations.

Section 1: Statics Review
In this section, we review how to find internal reactions of a beam and draw the axial, shear, and bending moment diagrams using the equation method and the area method.
 Lesson 1: Statics Review Part 1

Lesson 2: Statics Review Part 2

Lesson 3: Statics Review Part 3

Lesson 4: Statics Review Part 4

Problem 1: Statics Review

Problem 1 – Continued

Problem 2: Statics Review

Problem 3: Statics Review

Lesson 5: Method of Equations

Problem 4: Method of Equations

Lesson 6: Method of Integration

Lesson 7: Method of Integration

Problem 5: Method of Integration

Problem 6: Method of Integration

Problem 7: Method of Integration

Section 2: Stress
In chapter 1, you learn about stresses and their three types: Average Normal Stress, Average Shear Stress, and Bearing Stress.
 Lesson 1: Definition and Types of Stresses

Lesson 2: Units of Stresses

Lesson 3: Average Normal Stresses

Lesson 4: Types and Mode of Failure – Average Normal Stresses
 Problem 1: Average Normal Stresses

Problem 2: Average Normal Stresses

Problem 3: Average Normal Stresses

Problem 4: Average Normal Stresses

Problem 5: Average Normal Stresses

Problem 6: Average Normal Stresses

Quiz 1 – Average Normal Stresses

Quiz 1 Solutions

Lesson 5: Average Shear Stresses

Lesson 6: Examples of Average Shear Stresses

Problem 7: Average Shear Stresses

Lesson 7: Types and Mode of Failure – Average Shear Stresses

Problem 8: Average Shear Stresses

Problem 9: Average Shear Stresses

Problem 10: Average Shear Stresses

Problem 11: Average Shear Stresses

Quiz 2 – Average Shear Stresses

Quiz 2 Solutions

Lesson 8: Bearing Stresses – Definition and Types

Lesson 9: Mode of Failure Under Bearing Stresses

Problem 12: Bearing Stresses

Problem 13: Bearing Stresses

Problem 14: Bearing Stresses

Problem 15: Extra Exercises

Problem 16: Extra Exercises

Problem 17: Extra Exercises

Quiz 3 – Bearing Stresses

Quiz 3 Solutions

Lesson 10: Allowable Stress Design

Problem 18: Allowable Stress Design

Problem 19: Allowable Stress Design

Problem 20: Allowable Stress Design

Quiz 4 – Allowable Stress Design

Quiz 4 Solutions

Section 3: Strain
In chapter 2, you learn about deformations and strain; both normal and shear.
 Lesson 1: Axial Deformation

Lesson 2: Shear Deformation

Lesson 3: Shear and Normal Strain

Problem 1: Normal Strain

Problem 2: Normal Strain

Problem 3: Normal Strain

Problem 4: Normal Strain

Problem 5: Normal Strain

Problem 6: Shear Strain

Lesson 4: Law of sine and law of cosine

Problem 7: Shear Strain

Problem 7 – Continued

Quiz – Chapter 2

Quiz – solutions

Section 4: Mechanical Properties of Materials
In chapter 3, you learn about the mechanical properties of material: Strength, Ductility, Toughness, Stiffness, and Rigidity. Also, you learn about the stress strain diagram, both normal and shear.
 Lesson 1: Strength and Ductility

Lesson 2: Toughness and Stiffness

Lesson 3: Tension Test

Lesson 4: Hooke’s Law and the Modulus of Elasticity

Lesson 5: Inelastic Phase

Lesson 6: Inelastic Phase – part 2

Lesson 7: Load Removal – Elastic Phase

Lesson 8: Load Removal – Inelastic Phase

Problem 1: Normal Stress Strain Diagram

Problem 1 – Continued

Lesson 9: Shear Stress Strain Diagram

Problem 2: Shear Stress Strain

Problem 3: Shear Stress Strain

Quiz 1 – Hooke’s Law and StressStrain Diagram

Quiz 1 Solutions

Lesson 10: Poisson’s Ratio

Problem 4: Poisson’s Ratio

Lesson 11: General State of Stress

Example on General State of Stress

Lesson 12: Dilation and Bulk Modulus

Problem 5: General State of Stress

Problem 6: General State of Stress

Problem 7: General State of Stress

Problem 7 – Continued

Problem 8: General State of Stress

Problem 8 – Continued

Problem 9: General State of Stress

Quiz 2 – Poisson’s Ratio and General State of Stress

Quiz 2 – Solutions

Section 5: Axial Deformations and Compatibility Equations
In this chapter, we develop an explicit formula of axial deformations due to axial forces and temperature. Also, we learn how to use axial deformations to solve indeterminate stuctures.
 Lesson 1: Axial Deformation – Formula

Lesson 2: Sudden Change in Load

Lesson 3: Sudden Change in Area

Lesson 4: Sudden Change in Modulus of Elasticity

Lesson 5: Continuous Change in Load

Lesson 6: Continuous Change in Area

Lesson 7: Temperature Effects

Lesson 8: Example on Temperature Effects

Quiz 1 – Axial Deformations

Quiz 1 – solutions

Lesson 9: Indeterminate Structures

Lesson 10: Compatibility Equation – Form 1

Problem 1: Compatibility Equation – part 1

Problem 1 continued: Compatibility Equation

Problem 2: Compatibility Equation

Lesson 11: Compatibility Equation – Form 2

Problem 3: Compatibility Equation

Lesson 12: Compatibility Equation – Form 3

Problem 4: Compatibility Equation

Problem 4 continued: Compatibility Equation

Lesson 13: Compatibility Equation – Form 4

Problem 5: Compatibility Equation

Lesson 14: Compatibility Equation – Form 5

Quiz 2 – Indeterminate Structures

Quiz 2 solutions

Quiz 3 – Indeterminate Structures

Quiz 3 solutions

Mock Exams (Sections 1 to 5)

Mock Exam 1

Mock Exam 1 Solution

Mock Exam 2

Mock Exam 2 Solution
