Types of support & Introduction to SFD & BMD

Types of support & Introduction to SFD & BMD

1. Sharad Institute of Technology College of Engineering , Yadrav Unit 02 Shear Force & Bending Moment Presented By Mr Y S Patil Department of Civil Engineering

2. Types of Beam Shear Force & Bending Moment Sign Convention Numerical Unit 02 (Lecture No.01) Shear Force & Bending Moment

3. Shear Force: Shear force at any cross section of the beam is the algebraic sum of all vertical forces on the beam, acting on the right or left side of the section. Sign Conventions: + - + - Right Side Left Side

4. Bending Moment: Bending moment at any cross section of the beam , is the algebraic sum of the all moments of all the forces action on the right or left side of section. Sign Conventions: - - + + Right Side Left Side

5. Draw SFD & BMD for given Beam Calculate support reactions Σ Fy = 0 R A + R B = 15 + 10 = 25 Σ M = 0 Taking Moment @ A 15X 1.5 + 10 X 3.5 = R B X 5 R B = 11.5kN R A = 13.5 kN Shear Force Calculations SF at B R = kN SF at B L = -11.5 kN SF at D R = -11.5 kN SF at D L = -11.5 + 10 = -1.5 kN SF at C R = -11.5 + 10 = -1.5 kN SF at C L = -11.5 +10 + 15 = 13.5 kN SF at A R = -11.5 +10 + 15 = 13.5 kN SF at A L = kN + - Bending Moment Calculations BM at A & B = kNm ……… (SS ends) BM at C =13.5 X 1.5 = 20.25 kNm BM at D = 11.5 X 1.5 = 17.25 kNm - - + +

6. Thank you….