Mechanics Of Materials Made Easy: Ace Your Engineering Exams

A Comprehensive Guide to Statics, Stress Analysis, and Structural Design for Engineering Students and Professionals.

What you'll learn

Understand Fundamental Concepts of Mechanics of Materials

Analyze Structural Components Under Various Loading Conditions

Apply Problem-Solving Techniques in Real-World Scenarios

Design Safe and Efficient Structural Elements

Master Stress Transformation Techniques

Evaluate Material Properties and Their Impact on Structural Behavior

Calculate Axial, Shear, and Bending Deformations

Analyze and Design Composite Beams and Eccentric Load Scenarios

Understand the Effects of Temperature on Structural Elements

Apply Compatibility Equations to Indeterminate Structures

Understand Torsional Effects in Circular Sections

Utilize Combined Loading Analysis

Assess Structural Safety with Allowable Stress Design

Prepare for Advanced Engineering Studies or Professional Exams

Requirements

Commitment for Learning Mechanics of Materials: No advanced knowledge or tools are required—just an interest in understanding how materials and structures behave under various loading conditions.

Access to a Calculator: Students should have a scientific or graphing calculator to solve numerical problems effectively.

Description

Course Description:Unlock the secrets of Mechanics of Materials with this comprehensive course designed for engineering students and professionals. Whether you're preparing for exams like the FE or PE, enhancing your engineering knowledge, or building a strong foundation in structural analysis, this course has everything you need.Starting with a review of statics and advancing to complex topics like stress transformation, torsion, and combined loadings, the course systematically covers all the essentials. You'll gain hands-on experience solving real-world problems and designing safe, efficient structures.What You’ll Learn:Analyze and solve problems involving stress, strain, and deformation under various loading conditions.Master techniques like Mohr’s Circle, compatibility equations, and allowable stress design.Calculate structural properties, including centroids, moments of inertia, and neutral axes.Evaluate material behavior, including ductility, toughness, and failure modes.Solve practical engineering problems step by step, preparing you for exams and real-world applications.What’s Included:Over 160 detailed lectures covering concepts, examples, and exercises.Quizzes to test your knowledge and reinforce key concepts.Step-by-step solutions to problem sets, from basic to advanced scenarios.Focused sections on bending, torsion, transverse shear, and axial loads.This course is perfect for:Undergraduate engineering students in civil, mechanical, aerospace, or structural disciplines.Professionals preparing for the FE or PE exams.Anyone looking to refresh or deepen their understanding of mechanics of materials.With practical problem-solving techniques and clear explanations, this course is designed to help you succeed in your engineering studies and beyond. Enroll today and take the next step toward mastering Mechanics of Materials!

Overview

Section 1: Statics Review: Shear and Bending Diagrams

Lecture 1 Types of Supports, Loads, and Beams.

Lecture 2 Continued

Lecture 3 The Three Equilibrium Equations in 2-D Statics Problems

Lecture 4 Internal Forces

Lecture 5 Problem 1

Lecture 6 Problem 1 Continued

Lecture 7 Problem 2

Lecture 8 Problem 3

Lecture 9 Method of Equations

Lecture 10 Problem 4

Lecture 11 Method of Integration (Area Method)

Lecture 12 Continued

Lecture 13 Problem 5

Lecture 14 Problem 6

Lecture 15 Problem 7

Section 2: Stress

Lecture 16 Definition and Types of Stresses

Lecture 17 Units of Stresses

Lecture 18 Average Normal Stresses

Lecture 19 Mode of Failure Under Normal Stresses

Lecture 20 Problem 1 - Normal Stresses

Lecture 21 Problem 2 - Normal Stresses

Lecture 22 Problem 3 - Normal Stresses

Lecture 23 Problem 4 - Normal Stresses

Lecture 24 Problem 5 - Normal Stresses

Lecture 25 Problem 6 - Normal Stresses

Lecture 26 Average Shear Stresses

Lecture 27 Example of Average Shear Stresses

Lecture 28 Problem 7: Average Shear Stresses

Lecture 29 Mode of Failure Under Shear Stresses

Lecture 30 Problem 8 - Average Shear Stresses

Lecture 31 Problem 9 - Average Shear Stresses

Lecture 32 Problem 10 - Average Shear Stresses

Lecture 33 Problem 11 - Average Shear Stresses

Lecture 34 Bearing Stresses - Definition and Types

Lecture 35 Mode of Failure Under Bearing Stresses

Lecture 36 Problem 12 - Bearing Stresses

Lecture 37 Problem 13 - Bearing Stresses

Lecture 38 Problem 14 - Bearing Stresses

Lecture 39 Extra Exercises - Problem 15

Lecture 40 Extra Exercises - Problem 16

Lecture 41 Extra Exercises - Problem 17

Lecture 42 Allowable Stress Design

Lecture 43 Problem 18 - Allowable Stress Design

Lecture 44 Problem 19 - Allowable Stress Design

Lecture 45 Problem 20 - Allowable Stress Design

Section 3: Strain

Lecture 46 Axial Deformations

Lecture 47 Shear Deformations

Lecture 48 Shear Strain and Normal Strain

Lecture 49 Problem 1 - Average Normal Strain

Lecture 50 Problem 2: Average Normal Strain

Lecture 51 Problem 3: Average Normal Strain

Lecture 52 Problem 4: Average Normal Strain

Lecture 53 Problem 5: Average Normal Strain

Lecture 54 Problem 6: Average Normal Strain

Lecture 55 Law Of Cosines

Lecture 56 Problem 7: Average Shear Strain

Lecture 57 Continued

Section 4: Mechanical Properties of Material

Lecture 58 Strength and Ductility

Lecture 59 Toughness and Stiffness

Lecture 60 Tension Test

Lecture 61 Normal Stress Strain Diagram and Hooke's Law

Lecture 62 Inelastic Phase - Part 1

Lecture 63 Inelastic Phase - Part 2

Lecture 64 Load Removal - Elastic Phase

Lecture 65 Load Removal - Inelastic Phase

Lecture 66 Problem 1 - Normal Stress Strain Diagram

Lecture 67 Continued

Lecture 68 Shear Stress Strain Diagram

Lecture 69 Problem 2: Shear Stress Strain Diagram

Lecture 70 Problem 3: Average Shear Strain

Lecture 71 Poisson's Ratio

Lecture 72 Problem 4: Poisson's Ratio

Lecture 73 General State of Stress

Lecture 74 Example on the General State of Stress

Lecture 75 Problem 5: General State of Stress

Lecture 76 Problem 6: General State of Stress

Lecture 77 Problem 7: General State of Stress

Lecture 78 Continued

Lecture 79 Problem 8: General State of Stress

Lecture 80 Continued

Lecture 81 Problem 9: General State of Stress

Lecture 82 Dilation and Bulk Modulus

Section 5: Axial Load and Deformation

Lecture 83 Axial Deformation: General Formula

Lecture 84 Sudden Changes in Internal Force

Lecture 85 Sudden Changes in Area

Lecture 86 Sudden Changes in Modulus of Elasticity

Lecture 87 Continuous Change in Load

Lecture 88 Continuous Change in Area

Lecture 89 Temperature Effects

Lecture 90 Example on Temperature Effects

Lecture 91 Indeterminate Structures

Lecture 92 Compatibility Equation Form 1

Lecture 93 Problem 1: Compatibility Equation

Lecture 94 Continued

Lecture 95 Problem 2: Compatibility Equation

Lecture 96 Compatibility Equation Form 2

Lecture 97 Problem 3: Compatibility Equation

Lecture 98 Compatibility Equation Form 3

Lecture 99 Problem 4: Compatibility Equation

Lecture 100 Continued

Lecture 101 Compatibility Equation Form 4

Lecture 102 Problem 5: Compatibility Equation

Lecture 103 Compatibility Equation Form 5

Section 6: Bending

Lecture 104 Normal Stresses Due to Bending

Lecture 105 Linear Variation and the Neutral Axis

Lecture 106 Locating the Neutral Axis for Single Bending

Lecture 107 Locating the Centroid of a Cross Section

Lecture 108 Problem 1: Locating the Centroid

Lecture 109 Problem 2: Locating the Centroid

Lecture 110 Problem 3: Locating the Centroid

Lecture 111 Moment of Inertia

Lecture 112 Problem 4: Moment of Inertia

Lecture 113 Problem 5: Moment of Inertia

Lecture 114 Problem 6: Moment of Inertia

Lecture 115 Pure Bending About a Horizontal Axis

Lecture 116 Problem 7: Pure Bending About a Horizontal Axis

Lecture 117 Problem 8: Pure Bending About a Horizontal Axis

Lecture 118 Continued

Lecture 119 Problem 9: Pure Bending About a Horizontal Axis

Lecture 120 Continued

Lecture 121 Problem 10: Pure Bending About a Horizontal Axis

Lecture 122 Continued

Lecture 123 Pure Bending About a Vertical Axis

Lecture 124 Problem 11: Pure Bending About a Vertical Axis

Lecture 125 Locating the Neutral Axis in Double Pending

Lecture 126 Problem 12: Locating the Neutral Axis in Double Bending

Lecture 127 Continued

Lecture 128 Problem 13: Locating the Neutral Axis in Double Bending

Lecture 129 Continued

Lecture 130 Eccentric Loads (Part 1)

Lecture 131 Eccentric Loads (Part 2)

Lecture 132 Problem 14: Eccentric Loads

Lecture 133 Composite Beams

Lecture 134 Problem 15: Composite Beams

Lecture 135 Problem 16: Composite Beams

Lecture 136 Composite Beams in Circular Cross Sections

Section 7: Transverse Shear

Lecture 137 Vertical Shear Stresses (Part 1)

Lecture 138 Vertical Shear Stresses (Part 2)

Lecture 139 Problem 1 - Vertical Shear Stresses

Lecture 140 Continued

Lecture 141 Problem 2 - Vertical Shear Stresses

Lecture 142 Horizontal Shear Stresses

Lecture 143 Problem 3 - Horizontal Shear Stresses

Lecture 144 Shear Flow

Lecture 145 Problem 4 - Shear Flow

Lecture 146 Continued

Lecture 147 Problem 5 - Shear Flow

Section 8: Torsion

Lecture 148 Torsional Stress

Lecture 149 Problem 1 - Torsion

Lecture 150 Problem 2 - Torsion

Lecture 151 Problem 3 - Torsion

Lecture 152 Angle of Twist

Lecture 153 Problem 4 - Angle of Twist

Lecture 154 Gears in Mesh

Lecture 155 Power Transformation

Lecture 156 Statically Indeterminate Structures in Torsion

Lecture 157 Problem 5 - Statically Indeterminate Structures in Torsion

Section 9: Combined Loadings

Lecture 158 Combined Loadings - Part 1

Lecture 159 Combined Loadings - Part 2

Lecture 160 Combined Loadings - Part 3

Lecture 161 Combined Loadings - Part 4

Lecture 162 Problem 1 - Combined Loadings

Lecture 163 Continued

Lecture 164 Problem 2 - Combined Loadings

Lecture 165 Problem 3 - Combined Loadings

Lecture 166 Continued

Lecture 167 Problem 4 - Combined Loadings

Section 10: Stress Transformations

Lecture 168 Stress Transformation - Part 1

Lecture 169 Stress Transformation - Part 2

Lecture 170 Stress Transformation - Part 3

Lecture 171 Principal Stresses and Principal Planes

Lecture 172 Problem 1 - Principal Stresses and Principal Planes

Lecture 173 Maximum In-plane Shear Stresses

Lecture 174 Problem 2 - Maximum Shear Stresses

Lecture 175 Introduction to Mohr's Circle

Lecture 176 Mohr's Circle for Principal Stresses and Principal Planes

Lecture 177 Mohr's Circle for Maximum In-plane Shear Stresses

Lecture 178 Mohr's Circle for Rotating Element with Angle Theta

Lecture 179 Problem 3 - Mohr's Circle with Combined Loadings

Undergraduate Engineering Students: Ideal for civil, mechanical, aerospace, and structural engineering students who want a thorough understanding of mechanics of materials concepts and their applications.,Engineering Professionals: Perfect for practicing engineers looking to refresh their knowledge of stress, strain, deformation, and design principles to enhance their skills or prepare for professional certifications like the FE and PE exams.,FE and PE Exam Candidates: A valuable resource for individuals preparing for the Fundamentals of Engineering (FE) or Professional Engineer (PE) exams, providing in-depth problem-solving techniques and conceptual clarity.,STEM Educators: Useful for instructors or educators seeking a comprehensive resource to enhance their teaching materials and methods in mechanics of materials.,Curious Learners and Beginners: Open to anyone with an interest in structural analysis, mechanical properties of materials, and their practical applications, even with minimal prior knowledge. The course starts with a statics review to bridge the gap for beginners.,Graduate School Applicants: Helpful for students planning to pursue advanced studies in engineering fields, ensuring they have a strong grasp of foundational concepts.