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Deflections and Slopes of Beams
Table 1. Deflections and slopes of cantilever beams
v = deflection in the y direction
(positive upward)
dv/dx = slope of the deflection curve
B = v(L) = deflection at end B of
the beam (downward)
B = angle of rotation at end B
of the beam (clockwise)
EI = constant
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Table 2. Deflections and slopes of simple beams
v = deflection in the y direction
(positive upward)
dv/dx = slope of the deflection curve
C = v(L/2) = deflection at midpoint C of
the beam (downward)
x1 = distance from support A to
point of maximum deflection
max = vmax = maximum deflection (downward)
A = angle of rotation at left-hand
end of the beam (clockwise)
B = angle of rotation at right-hand
end of the beam (counterclockwise)
EI = constant
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