Date post: | 19-Jan-2018 |
Category: |
Documents |
Upload: | reynard-chandler |
View: | 245 times |
Download: | 0 times |
Mechanics of Materials
Shear Stress and Shear FlowIn Beams))
2
Shear Stress in Beams
•Transverse Shear•V is the result of transverse shear-stress•There will be Longitudinal shear stress associated with transverse shear stress•Longitudinal shear stresses act along longitudinal planes of the beam
3
Proof of Longitudinal stress
•Shear Strain: as a result of shear stress• Distort cross section• Complex distortion• Distortion neglected for slender beams
( small depth compared to its length)
4
Shear FormulaRelationship between the shear-stress distribution, acting over the cross section of a beam, and the resultant shear force at the section
5
6
7
Rectangular cross section:
8
Rectangular cross section:
Max shear stress is 50% greater than the average shear stress
9
Integration of the shear-stress distribution over the cross section result in the shear force V
10
Wide Flange Beam
11
12
13
14
15
16
17
18
19
20
21
22
23
24