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Some Guidelines for Constructing Shear Force and Bending Moment Diagrams
SIGN CONVENTIONS
+ M
+ V
+ V
+ M
 M
 V
 V
 M
BOUNDARY CONDITIONS
Pinned LEFT End:
Reaction force, A
x
is unknown.
Reaction force, A
y
is unknown.
V (shear force) = A
y
(reaction force)
M = 0 (unless there is an applied moment at this point)
Deflection, y = 0
Slope,
θ
is unknown
B
A
Pinned Right End:
Reaction force, B
x
is unknown.
Reaction force, B
y
is unknown.
V (shear force)
= B
y
(reaction force)
M = 0 (unless there is an applied moment at this point)
Deflection, y = 0
Slope,
θ
is unknown
A
x
A
y
B
x
B
y
Pinned LEFT End:
Reaction force, A
x
is unknown.
Reaction force, A
y
is unknown.
V (shear force) = A
y
(reaction force)
M = 0 (unless there is an applied moment at this point)
Deflection, y = 0
Slope,
θ
is unknown
B
A
Roller Support at Right End:
Reaction force, B
x
=0.
Reaction force, B
y
is unknown.
V (shear force)
= B
y
(reaction force)
M = 0 (unless there is an applied moment at this point)
Deflection, y = 0
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This note was uploaded on 11/02/2009 for the course PCE EAS 102 taught by Professor Coffin during the Spring '09 term at Miami University.
 Spring '09
 Coffin

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