CIE 202 – LAU – Package 2
August 30, 2021 20210830 17:56CIE 202 – LAU – Package 2
CIE 202 – LAU – Package 2
In section 6, you will get to know that normal stresses are not only due to forces. Normal stresses are also caused by internal bending moments. You will learn how to calculate bending normal stresses that result from internal bending moments about single axis. Double bending (bending about both axes) is also covered in depth. You will learn the meaning of the Neutral Axis and how to locate it. Also, you will get to know what eccentric loads are and how they affect the calculations of normal stresses at any point on the cross section. Finally, chapter 6 ends with the definition of composite beams, and the method used to calculate normal stresses in composite beams.
In section 7, you will get to know the formula that reflects the variation of shear stresses in a beam’s cross section. In this chapter, you will discover that average shear stresses (force over area) are not used in shear stress calculations in the beam’s cross section. A new formula is introduced for shear stresses that are developed in cross sections subjected to shear forces. New parameters such as Q and t are introduced. Also, you will learn how to locate and calculate the maximum shear stress in a beam subjected to a given loading. Also, you will learn that shear forces can develop in two directions in a beam, and you will be able to calculate shear stresses at any point on the cross section whether it is subjected to horizontal shear, vertical shear, or both.
In section 8, you will learn about torsion and the shear stresses they create in the beam. Also, you will learn how to calculate the angle of twist that develops from torsional moments. You will also learn how to solve indeterminate structures using compatibility equations containing the angle of twist.

Section 6: Bending Stresses
In this chapter, you discover that normal stresses are not only the result of axial forces. They are also caused by internal bending moment. Long story short: Internal bending Moments create normal stresses.
 Lesson 1: Normal Stresses Due to Bending

Lesson 2: Linear Variation and the Neutral Axis

Lesson 3: Locating the Neutral Axis for Single Bending

Lesson 4: Locating the Centroid of the Cross Section

Problem 1: Locating the Centroid of the Cross Section

Problem 2: Locating the Centroid of the Cross Section

Problem 3: Locating the Centroid of the Cross Section

Quiz 1: Locating the Centroid

Quiz 1 solutions

Lesson 5: Moment of Inertia

Problem 4: Moment of Inertia

Problem 5: Moment of Inertia

Problem 6: Moment of Inertia

Quiz 2: Moment of Inertia

Quiz 2 solutions

Lesson 6: Pure Bending About A Horizontal Axis

Problem 7: Pure Bending About A Horizontal Axis

Problem 8: Pure Bending About A Horizontal Axis

Problem 8 – Continued

Problem 9: Pure Bending About A Horizontal Axis

Problem 9 – Continued

Problem 10: Pure Bending About A Horizontal Axis

Problem 10 – Continued

Quiz 3: Pure Bending About A Horizontal Axis

Quiz 3 solutions

Lesson 7: Pure Bending About A Vertical Axis

Problem 11: Pure Bending About A Vertical Axis

Lesson 8: Double Bending About Both Axes

Lesson 9: Locating The Neutral Axis in Double Bending

Problem 12: Locating The Neutral Axis in Double Bending

Problem 12 – Continued

Problem 13: Locating The Neutral Axis in Double Bending

Problem 13 – Continued

Quiz 4: Double Bending and the Neutral Axis

Quiz 4 Solutions

Lesson 10: Eccentric Loads – part 1

Lesson 11: Eccentric Loads – part 2

Problem 14: Eccentric Loads

Quiz 5: Eccentric Loads

Quiz 5 solutions

Lesson 12: Composite Beams

Problem 15: Composite Beams

Problem 16: Composite Beams

Lesson 13: Composite beams in Circular Cross Sections

Quiz 6: Composite Beams

Quiz 6 solutions

Section 7: Shear Stresses and Shear Flow
In this section, you learn about how the shear stress varies along the beam's depth when the beam is subjected to a shear force. Also, you will learn the concept of shear flow and where it used in design.
 Lesson 1: Vertical Shear Stresses – part 1

Lesson 2: Vertical Shear Stresses – part 2

Problem1: Vertical Shear Stresses

Problem 1 – Continued

Problem 2: Vertical Shear Stresses

Lesson 3: Horizontal Shear Stresses

Problem 3: Horizontal Shear Stresses

Lesson 4: Shear Flow

Quiz 1: Shear Stresses

Quiz 1 solutions

Problem 4: Shear Flow

Problem 4 – Continued

Problem 5: Shear Flow

Quiz 2: Shear Flow

Quiz 2 solutions

Section 8: Torsion
In this section you learn about torsion and angle of twist.
 Lesson 1: Torsion

Problem 1: Torsion

Problem 2: Torsion

Problem 3: Torsion

Lesson 2: Angle of Twist

Problem 4: Angle of Twist

Lesson 3: Gears in Mesh

Lesson 4: Power Transmission

Lesson 5: Statically Indeterminate Structures

Problem 5: Statically Indeterminate Structures

Quiz Torsion

Quiz Solution

Mock Exams
In this section you will practice a timed mock exam. Try to be as fast as possible so that you practice speed without losing accuracy.

Mock Exam 1

Mock Exam 1 Solution

Mock Exam 2

Mock Exam 2 Solution

Mock Exam 3

Mock Exam 3 Solution
