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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