Chapter 6 Torsion-1

34
Strength of Materials 2 nd Stage (2021-2022) Civil Engineering Department Dr. Ali Hassan Ali

Transcript of Chapter 6 Torsion-1

Strength of Materials2nd Stage (2021-2022)Civil Engineering DepartmentDr. Ali Hassan Ali

Syllabus

Chapter Topic

0 Primary Introduction

1 Stress

2 Strain

3 Mechanical Properties of Materials

4 Axial Deformation

5 Shear Forces and Bending Moments diagrams

6 Torsion

7 Bending Stress in Beams

8 Shear Stress in Beams

9 Deflection of Beams

10 Statically Indeterminate Beams

11 Stress Transformation

12 Strain Transformation

13 Combined Loads

References

• Philpot, T.A. (2017). Mechanics of Materials: An Integrated Learning System. 4th Ed. John Wiley & Sons, Inc.

• Hibbeler, R.C. (2011). Mechanics of Materials. 8th Ed. Pearson Prentice Hall.

Outcomes of courses

• To understand the concept of stress and strain.

• To be familiar with the numerical equations of stress and strain and the background theory.

• To know how to draw a free body diagram for the structural members.

• To analyse different types and directions of loadings.

• To assess the mechanical properties of materials.

• To be familiar with the behaviour of beams in bending and torsion.

• To analyse the behaviour of beams in shear and deflection.

• To understand the classifications of beams, e.g., determinate, indeterminate…etc.

• To be familiar with the stress transformation by using Mohr’s circle.

• To analyse axially compressed members, i.e., columns.

5

Chapter 6 Torsion

6.1

6.1a.

6.1b.

6.1a.

6.1

6

Chapter 6 Torsion

Figure 6.1 Figure 6.2a.

(Figure 6.2b). 6.2a

6.2b

Figure 6.2b.

7

Chapter 6 Torsion

8

Chapter 6 Torsion 6.2

[Equation (3.2)]

Figure 6.3.

Figure 6.4.

(Figure 6.5).

6.3

6.4

9

Chapter 6 Torsion EXAMPLE 5.6

6.5

10

Chapter 6 Torsion

11

Chapter 6 Torsion

6.3

12

Chapter 6 Torsion

13

Chapter 6 Torsion

14

Chapter 6 Torsion

6.4

15

Chapter 6 Torsion

Figure 6.6.

6.7.

6.6

16

Chapter 6 Torsion

6.7

6.8

6.8.

17

Chapter 6 Torsion

18

Chapter 6 Torsion

19

Chapter 6 Torsion

20

Chapter 6 Torsion

21

Chapter 6 Torsion

22

Chapter 6 Torsion

23

Chapter 6 Torsion

24

Chapter 6 Torsion

25

Chapter 6 Torsion

26

Chapter 6 Torsion

27

Chapter 6 Torsion

28

Chapter 6 Torsion

29

Chapter 6 Torsion

30

Chapter 6 Torsion

31

Chapter 6 Torsion

32

Chapter 6 Torsion

33

Chapter 6 Torsion

34

Chapter 6 Torsion