ENGR 244 – Concordia – 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.

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
  17 min
- Lesson 2: Statics Review Part 2
  12 min
- Lesson 3: Statics Review Part 3
  12 min
- Lesson 4: Statics Review Part 4
  17 min
- Problem 1: Statics Review
  21 min
- Problem 1 – Continued
  23 min
- Problem 2: Statics Review
  19 min
- Problem 3: Statics Review
  20 min
- Lesson 5: Method of Equations
  23 min
- Problem 4: Method of Equations
  30 min
- Lesson 6: Method of Integration
  18 min
- Lesson 7: Method of Integration
  23 min
- Problem 5: Method of Integration
  13 min
- Problem 6: Method of Integration
  21 min
- Problem 7: Method of Integration
  14 min
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
  13 min
- Lesson 2: Units of Stresses
  12 min
- Lesson 3: Average Normal Stresses
  10 min
- Lesson 4: Types and Mode of Failure – Average Normal Stresses
  13 min
- Problem 1: Average Normal Stresses
  18 min
- Problem 2: Average Normal Stresses
  09 min
- Problem 3: Average Normal Stresses
  09 min
- Problem 4: Average Normal Stresses
  16 min
- Problem 5: Average Normal Stresses
  11 min
- Problem 6: Average Normal Stresses
  10 min
- Quiz 1 – Average Normal Stresses
  6 questions35 min
- Quiz 1 Solutions
- Lesson 5: Average Shear Stresses
  11 min
- Lesson 6: Examples of Average Shear Stresses
  12 min
- Problem 7: Average Shear Stresses
  14 min
- Lesson 7: Types and Mode of Failure – Average Shear Stresses
  13 min
- Problem 8: Average Shear Stresses
  12 min
- Problem 9: Average Shear Stresses
  10 min
- Problem 10: Average Shear Stresses
  09 min
- Problem 11: Average Shear Stresses
  16 min
- Quiz 2 – Average Shear Stresses
  5 questions25 min
- Quiz 2 Solutions
- Lesson 8: Bearing Stresses – Definition and Types
  13 min
- Lesson 9: Mode of Failure Under Bearing Stresses
  09 min
- Problem 12: Bearing Stresses
  17 min
- Problem 13: Bearing Stresses
  16 min
- Problem 14: Bearing Stresses
  12 min
- Problem 15: Extra Exercises
  14 min
- Problem 16: Extra Exercises
  10 min
- Problem 17: Extra Exercises
  13 min
- Quiz 3 – Bearing Stresses
  8 questions40 min
- Quiz 3 Solutions
- Lesson 10: Allowable Stress Design
  11 min
- Problem 18: Allowable Stress Design
  10 min
- Problem 19: Allowable Stress Design
  13 min
- Problem 20: Allowable Stress Design
  14 min
- Quiz 4 – Allowable Stress Design
  5 questions40 min
- Quiz 4 Solutions
Section 3: Strain

In chapter 2, you learn about deformations and strain; both normal and shear.
- Lesson 1: Axial Deformation
  10 min
- Lesson 2: Shear Deformation
  11 min
- Lesson 3: Shear and Normal Strain
  12 min
- Problem 1: Normal Strain
  12 min
- Problem 2: Normal Strain
  11 min
- Problem 3: Normal Strain
  10 min
- Problem 4: Normal Strain
  10 min
- Problem 5: Normal Strain
  07 min
- Problem 6: Shear Strain
  08 min
- Lesson 4: Law of sine and law of cosine
  05 min
- Problem 7: Shear Strain
  12 min
- Problem 7 – Continued
  09 min
- Quiz – Chapter 2
  7 questions45 min
- 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
  12 min
- Lesson 2: Toughness and Stiffness
  07 min
- Lesson 3: Tension Test
  13 min
- Lesson 4: Hooke’s Law and the Modulus of Elasticity
  12 min
- Lesson 5: Inelastic Phase
  13 min
- Lesson 6: Inelastic Phase – part 2
  13 min
- Lesson 7: Load Removal – Elastic Phase
  13 min
- Lesson 8: Load Removal – Inelastic Phase
  11 min
- Problem 1: Normal Stress Strain Diagram
  13 min
- Problem 1 – Continued
  11 min
- Lesson 9: Shear Stress Strain Diagram
  12 min
- Problem 2: Shear Stress Strain
  09 min
- Problem 3: Shear Stress Strain
  10 min
- Quiz 1 – Hooke’s Law and Stress-Strain Diagram
  6 questions35 min
- Quiz 1- Solutions
- Lesson 10: Poisson’s Ratio
  11 min
- Problem 4: Poisson’s Ratio
  11 min
- Lesson 11: General State of Stress
  14 min
- Example on General State of Stress
  06 min
- Lesson 12: Dilation and Bulk Modulus
  10 min
- Problem 5: General State of Stress
  08 min
- Problem 6: General State of Stress
  12 min
- Problem 7: General State of Stress
  13 min
- Problem 7 – Continued
  06 min
- Problem 8: General State of Stress
  13 min
- Problem 8 – Continued
  10 min
- Problem 9: General State of Stress
  13 min
- Quiz 2 – Poisson’s Ratio and General State of Stress
  6 questions45 min
- 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
  16 min
- Lesson 2: Sudden Change in Load
  11 min
- Lesson 3: Sudden Change in Area
  07 min
- Lesson 4: Sudden Change in Modulus of Elasticity
  05 min
- Lesson 5: Continuous Change in Load
  13 min
- Lesson 6: Continuous Change in Area
  16 min
- Lesson 7: Temperature Effects
  14 min
- Lesson 8: Example on Temperature Effects
  10 min
- Quiz 1 – Axial Deformations
  5 questions45 min
- Quiz 1 – solutions
- Lesson 9: Indeterminate Structures
  11 min
- Lesson 10: Compatibility Equation – Form 1
  09 min
- Problem 1: Compatibility Equation – part 1
  16 min
- Problem 1 continued: Compatibility Equation
  06 min
- Problem 2: Compatibility Equation
  15 min
- Lesson 11: Compatibility Equation – Form 2
  09 min
- Problem 3: Compatibility Equation
  18 min
- Lesson 12: Compatibility Equation – Form 3
  09 min
- Problem 4: Compatibility Equation
  14 min
- Problem 4 continued: Compatibility Equation
  09 min
- Lesson 13: Compatibility Equation – Form 4
  08 min
- Problem 5: Compatibility Equation
  22 min
- Lesson 14: Compatibility Equation – Form 5
  20 min
- Quiz 2 – Indeterminate Structures
  4 questions35 min
- Quiz 2 solutions
- Quiz 3 – Indeterminate Structures
  6 questions45 min
- Quiz 3 solutions
Mock Exams (Sections 1 to 5)
- Mock Exam 1
  11 questions01 hour 45 min
- Mock Exam 1 Solution
- Mock Exam 2
  20 questions02 hour 15 min
- Mock Exam 2 Solution

Rateeb Yehya

I am Rateeb Yehia, your Civil Engineering and Statistics tutor at 01TUTOR. I am an AUB graduate in Civil and Environmental Engineering with a 3.8/4.0 GPa. I have been tutoring college students full time for 3 years. I have taught 400+ students to 15+ universities in Lebanon, Canada, Saudi Arabia, and USA courses in Civil Engineering and Statistics. My mission is to help college students recognize the beauty of the courses I teach, as well as provide them with the necessary tools to score high on their exams with minimum time. My student results can be checked out @01tutor on Instagram. Join me for a fast and efficient learning experience.

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Price 69.99$ 49.99$

Instructor Rateeb Yehya

Duration 100 days

Lectures 127

Enrolled 30 students

ENGR 244 – Concordia – Package 1

ENGR 244 – Concordia – Package 1

ENGR 244 – Concordia – Package 1

Section 1: Statics Review

Section 2: Stress

Section 3: Strain

Section 4: Mechanical Properties of Materials

Section 5: Axial Deformations and Compatibility Equations

Mock Exams (Sections 1 to 5)

Rateeb Yehya

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ENGR 244 – Concordia – Package 1

ENGR 244 – Concordia – Package 1