Successfully reported this slideshow.
Upcoming SlideShare
×

# Unit 5 shear force and bending moment in beams

This document gives the class notes of Unit 5 shear force and bending moment in beams. Subject: Mechanics of materials.
Syllabus contest is as per VTU, Belagavi, India.
Notes Compiled By: Hareesha N Gowda, Assistant Professor, DSCE, Bengaluru-78.

• Full Name
Comment goes here.

Are you sure you want to Yes No

### Unit 5 shear force and bending moment in beams

1. 1. Mechanics of Materials 10ME34 Compiled by Hareesha N G, Asst Prof, DSCE Page 1 TABLE OF CONTENTS 5.1. INTRODUCTION ................................................................................................................................................ 2 5.2. TYPES OF BEAMS.............................................................................................................................................. 2 5.2.1 CANTILEVER BEAM........................................................................................................................................... 3 5.2.2 SIMPLY SUPPORTED BEAM ............................................................................................................................... 3 5.2.3 OVERHANGING BEAM....................................................................................................................................... 3 5.2.4 FIXED BEAMS ................................................................................................................................................... 3 5.2.5 CONTINUOUS BEAM.......................................................................................................................................... 3 5.3. TYPES OF LOADS .............................................................................................................................................. 4 5.3.1 CONCENTRATED LOAD ..................................................................................................................................... 4 5.3.2 UNIFORMLY DISTRIBUTED LOAD (UDL) .......................................................................................................... 4 5.3.3 UNIFORMLY VARYING LOAD (UVL) ................................................................................................................ 5 5.3.4 CONCENTRATED MOMENT................................................................................................................................ 5 5.4. REACTIONS AT SUPPORTS OF BEAMS....................................................................................................... 5 TYPES OF SUPPORTS: ................................................................................................................................................. 5 Simple Support:.................................................................................................................................................... 5 Roller Support:..................................................................................................................................................... 5 Hinged Support:................................................................................................................................................... 5 5.5. SHEAR FORCES AND BENDING MOMENT DIAMGRAMS...................................................................... 6 5.5.1 DEFINITION OF SHEAR FORCE AND BENDING MOMENT...................................................................................... 6 5.5.2 SIGN CONVENTION OF SF AND BM ................................................................................................................... 7 For Shear force:................................................................................................................................................... 7 For Bending moment: .......................................................................................................................................... 7 5.5.3 SFD AND BMD DEFINITIONS ............................................................................................................................ 8 5.5.4 GENERAL GUIDELINES ON CONSTRUCTION OF SFD AND BMD ........................................................................ 8 5.5.5 VARIATION OF SHEAR FORCE AND BENDING MOMENT DIAGRAMS..................................................................... 9 5.6. WORKED EXAMPLES ...................................................................................................................................... 9 REFERENCES:......................................................................................................................................................... 13