ce121 lecture 14 03-13-2014

11
CE 121: Mechanics of Materials Chapter 7 – Transverse Shear

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Page 1: CE121 Lecture 14 03-13-2014

CE 121: Mechanics of Materials

Chapter 7 – Transverse Shear

Page 2: CE121 Lecture 14 03-13-2014

Learning Objectives

Understand the concept of transverse shear stress

Calculate shear stress on a given cross section

Page 3: CE121 Lecture 14 03-13-2014

*** Transverse and Longitudinal shear stresses are complimentary

Effect of Bending : Shear

Page 4: CE121 Lecture 14 03-13-2014

Effect of Bending : Shear

Page 5: CE121 Lecture 14 03-13-2014

Shear formula

Page 6: CE121 Lecture 14 03-13-2014

Shear formula

Page 7: CE121 Lecture 14 03-13-2014

Shear formula

From bending stress equation

Page 8: CE121 Lecture 14 03-13-2014

Shear formula

V

Page 9: CE121 Lecture 14 03-13-2014

Example

7–1. If the wide-flange beam is subjected to a shear of V = 20 kN, determine the shear stress on the web at A.

Page 10: CE121 Lecture 14 03-13-2014

Example

7–11. The overhang beam is subjected to the uniform distributed load having an intensity of w = 50 kN/m. Determine the maximum shear stress developed in the beam.

Page 11: CE121 Lecture 14 03-13-2014

Example

7–27. The beam is slit longitudinally along both sides as shown. If it is subjected to an internal shear of V = 250 kN, compare the maximum shear stress developed in the beam before and after the cuts were made.