CIE 202 – LAU – Package 1
August 30, 2021 2021-09-04 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 stress-strain 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.
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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
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Lesson 2: Statics Review Part 2
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Lesson 3: Statics Review Part 3
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Lesson 4: Statics Review Part 4
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Problem 1: Statics Review
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Problem 1 – Continued
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Problem 2: Statics Review
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Problem 3: Statics Review
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Lesson 5: Method of Equations
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Problem 4: Method of Equations
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Lesson 6: Method of Integration
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Lesson 7: Method of Integration
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Problem 5: Method of Integration
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Problem 6: Method of Integration
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Problem 7: Method of Integration
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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
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Lesson 2: Units of Stresses
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Lesson 3: Average Normal Stresses
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Lesson 4: Types and Mode of Failure – Average Normal Stresses
- Problem 1: Average Normal Stresses
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Problem 2: Average Normal Stresses
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Problem 3: Average Normal Stresses
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Problem 4: Average Normal Stresses
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Problem 5: Average Normal Stresses
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Problem 6: Average Normal Stresses
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Quiz 1 – Average Normal Stresses
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Quiz 1 Solutions
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Lesson 5: Average Shear Stresses
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Lesson 6: Examples of Average Shear Stresses
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Problem 7: Average Shear Stresses
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Lesson 7: Types and Mode of Failure – Average Shear Stresses
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Problem 8: Average Shear Stresses
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Problem 9: Average Shear Stresses
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Problem 10: Average Shear Stresses
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Problem 11: Average Shear Stresses
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Quiz 2 – Average Shear Stresses
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Quiz 2 Solutions
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Lesson 8: Bearing Stresses – Definition and Types
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Lesson 9: Mode of Failure Under Bearing Stresses
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Problem 12: Bearing Stresses
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Problem 13: Bearing Stresses
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Problem 14: Bearing Stresses
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Problem 15: Extra Exercises
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Problem 16: Extra Exercises
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Problem 17: Extra Exercises
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Quiz 3 – Bearing Stresses
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Quiz 3 Solutions
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Lesson 10: Allowable Stress Design
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Problem 18: Allowable Stress Design
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Problem 19: Allowable Stress Design
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Problem 20: Allowable Stress Design
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Quiz 4 – Allowable Stress Design
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Quiz 4 Solutions
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Section 3: Strain
In chapter 2, you learn about deformations and strain; both normal and shear.
- Lesson 1: Axial Deformation
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Lesson 2: Shear Deformation
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Lesson 3: Shear and Normal Strain
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Problem 1: Normal Strain
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Problem 2: Normal Strain
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Problem 3: Normal Strain
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Problem 4: Normal Strain
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Problem 5: Normal Strain
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Problem 6: Shear Strain
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Lesson 4: Law of sine and law of cosine
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Problem 7: Shear Strain
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Problem 7 – Continued
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Quiz – Chapter 2
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Quiz – solutions
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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
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Lesson 2: Toughness and Stiffness
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Lesson 3: Tension Test
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Lesson 4: Hooke’s Law and the Modulus of Elasticity
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Lesson 5: Inelastic Phase
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Lesson 6: Inelastic Phase – part 2
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Lesson 7: Load Removal – Elastic Phase
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Lesson 8: Load Removal – Inelastic Phase
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Problem 1: Normal Stress Strain Diagram
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Problem 1 – Continued
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Lesson 9: Shear Stress Strain Diagram
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Problem 2: Shear Stress Strain
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Problem 3: Shear Stress Strain
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Quiz 1 – Hooke’s Law and Stress-Strain Diagram
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Quiz 1- Solutions
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Lesson 10: Poisson’s Ratio
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Problem 4: Poisson’s Ratio
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Lesson 11: General State of Stress
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Example on General State of Stress
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Lesson 12: Dilation and Bulk Modulus
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Problem 5: General State of Stress
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Problem 6: General State of Stress
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Problem 7: General State of Stress
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Problem 7 – Continued
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Problem 8: General State of Stress
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Problem 8 – Continued
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Problem 9: General State of Stress
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Quiz 2 – Poisson’s Ratio and General State of Stress
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Quiz 2 – Solutions
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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
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Lesson 2: Sudden Change in Load
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Lesson 3: Sudden Change in Area
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Lesson 4: Sudden Change in Modulus of Elasticity
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Lesson 5: Continuous Change in Load
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Lesson 6: Continuous Change in Area
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Lesson 7: Temperature Effects
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Lesson 8: Example on Temperature Effects
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Quiz 1 – Axial Deformations
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Quiz 1 – solutions
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Lesson 9: Indeterminate Structures
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Lesson 10: Compatibility Equation – Form 1
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Problem 1: Compatibility Equation – part 1
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Problem 1 continued: Compatibility Equation
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Problem 2: Compatibility Equation
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Lesson 11: Compatibility Equation – Form 2
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Problem 3: Compatibility Equation
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Lesson 12: Compatibility Equation – Form 3
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Problem 4: Compatibility Equation
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Problem 4 continued: Compatibility Equation
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Lesson 13: Compatibility Equation – Form 4
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Problem 5: Compatibility Equation
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Lesson 14: Compatibility Equation – Form 5
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Quiz 2 – Indeterminate Structures
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Quiz 2 solutions
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Quiz 3 – Indeterminate Structures
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Quiz 3 solutions
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Mock Exams (Sections 1 to 5)
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Mock Exam 1
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Mock Exam 1 Solution
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Mock Exam 2
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Mock Exam 2 Solution
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