Structure Analysis I

Structure Analysis I

Lecture 8Internal Loading

Developed in Structural Members

Shear & Moment diagram

Ch.4 in text book

Shear and Moment diagram for a Beam

2

O

)(

0)()( 0

)(

0)()(0

xxwxVM

MMxxxwMxVM

xxwV

VVxxwV Fy

dxxVMVdx

dM

dxxwVxwdx

dV

xfor

)(

)( )(

0

Example 1Draw shear force and Bending moment Diagram

S.F.D

B.M.D

Example 2Draw shear force and Bending moment Diagram

S.F.D

B.M.D

Example 3Draw shear force and Bending moment Diagram

S.F.D

B.M.D

Example 4Draw shear force and Bending moment Diagram

18 kN

Max. moment at x = L/2then

8

22222

max

2

wLM

LwLwLM

Draw shear force and Bending moment Diagram

Example 5

49

)7(14)5.3(14

7

142

M

MM

x

x

S

Example 6aDraw shear force and Bending moment Diagram

S.F.D

B.M.D

Example 6bDraw shear force and Bending moment Diagram

S.F.D

B.M.D

Example 6cDraw shear force and Bending moment Diagram

S.F.D

B.M.D

Example 6dDraw shear force and Bending moment Diagram

Group WorkDraw shear force and Bending moment Diagram