1. MDP: N161- Stress Analysis Fall 2009 1 1 Stress Analysis -MDP N161 Transverse Shear (Chapter 7- sec. 7.1-sec.7.3) Instructor: Dr. Chahinaz A.R.Saleh Lecture 7

2. MDP: N161- Stress Analysis Fall 2009 2 Objective

3. MDP: N161- Stress Analysis Fall 2009 3 Introduction

4. MDP: N161- Stress Analysis Fall 2009 4 Equilibrium implies that shear stress exists in pairs, i.e. the transverse shear stress is associated with longitudinal shear stress.

5. MDP: N161- Stress Analysis Fall 2009 5  The value of the shear stress at the upper and lower boundaries are zero since they are adjacent to free surfaces.

6. MDP: N161- Stress Analysis Fall 2009 6 Longitudinal shear stress prevents sliding in case (b) for bonded boards

7. MDP: N161- Stress Analysis Fall 2009 7 The Shear Formula

8. MDP: N161- Stress Analysis Fall 2009 8 Assumption: The shear stress is constant along the thickness t at any distance y measured from the neutral axis

9. MDP: N161- Stress Analysis Fall 2009 9

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11. MDP: N161- Stress Analysis Fall 2009 11 Q is the first moment of area surrounded between the a free surface and a line passes by the point of interest and parallel to Na

12. MDP: N161- Stress Analysis Fall 2009 12 Shear Stresses in Beams of Rectangular Cross-Section

13. MDP: N161- Stress Analysis Fall 2009 13 At y

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16. MDP: N161- Stress Analysis Fall 2009 16 Wide Flange Beam

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18. MDP: N161- Stress Analysis Fall 2009 18 Shear Stress in Circular Beams

19. MDP: N161- Stress Analysis Fall 2009 19 Shear strain 

20. MDP: N161- Stress Analysis Fall 2009 20 Deformation

21. MDP: N161- Stress Analysis Fall 2009 21 Example 7-1

22. MDP: N161- Stress Analysis Fall 2009 22 Solution

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26. MDP: N161- Stress Analysis Fall 2009 26 Example 7-2

27. MDP: N161- Stress Analysis Fall 2009 27 Solution Section properties

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33. MDP: N161- Stress Analysis Fall 2009 33 Example 7-3

34. MDP: N161- Stress Analysis Fall 2009 34 Solution

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