The document discusses shear stress and shear flow in beams. It covers topics such as shear flow in horizontal and vertical planes, formulas for calculating shear stress, examples of shear stress and shear flow calculations, and shear stress in thin-walled members. Diagrams and equations are provided relating to shear stress, shear force, and bending moment. Calculation of shear stress in a beam of given dimensions carrying a specific load is shown.

1. 4 Shear Stress in Beams
SS
fig by Case, Chilver, Ross, Strenth of Materials and Structures
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

2. Lecture Overview
4.1 Shear Flow (horizontal Plane)
1 example
4.2 Shearing Stress Formula
4.2 Shearing Stress Formula
1 example
4.3 Shear Flow and Shear stress (vert. plane)
1 example
1 example
4.4 Shearing Stress in thin walled members
1 example (Shear Center)
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

3. recalling:
relation of shear stress, shear force and bending moment functions
dM fig by Case, Chilver, Ross, Strenth of Materials and Structures
=
=
M' =
M =
V
V
dx
dV
V' =
= -w
dx
fig by J.L. Meriam, L.G. Kraige, Engineering Mechanics I
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

4. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

5. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

6. fig by G. Schierle, Architectural Structures
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

7. fig by G. Schierle, Architectural Structures
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

8. fig by G. Schierle, Architectural Structures
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

9. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

10. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

11. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

12. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

13. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

14. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

15. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

16. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

17. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

18. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

19. fig by da Silva, Mechanics and Strength of Materials
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

20. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

21. fig by da Silva, Mechanics and Strength of Materials
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

22. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

23. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

24. 1 =
q 1 0.465kN / cm
= = 0.465 kN / cm²
2 t 2 0.5cm
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

25. 1 =
q 1 0.465kN / cm
= = 0.465 kN / cm²
2 t 2 0.5cm
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

26. 1 =
q 1 0.465kN / cm
= = 0.465 kN / cm²
2 t 2 0.5cm
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

27. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

28. fig by Case, Chilver, Ross, Strenth of Materials and Structures fig by da Silva, Mechanics and Strength of Materials
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

29. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

30. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

31. Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier