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Problem 4.5-4 The cantilever beam AB shown in the figure
is subjected to a concentrated load P at the midpoint and a
counterclockwise couple of moment M
1
PL /4 at the free end.
Draw the shear-force and bending-moment diagrams for
this beam.
Solution 4.5-4 Cantilever beam
SECTION 4.5 Shear-Force and Bending-Moment Diagrams
271
A B
P
L
—
2
L
—
2
M
1
=
PL
—–
4
M
A
P
R
A
L/2 L/2
A B
M
1
PL
4
M
A
PL
4
R
A
P
V
M
0
0
PL
4
PL
4
P
Problem 4.5-5 The simple beam AB shown in the figure is subjected to
a concentrated load P and a clockwise couple