Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

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ExERcISE
m10.1 Beam Boundary Condition Game. Determine the
appropriate boundary conditions needed to determine constants of
integration for the double-integration method.
pRoBLEmS
p10.1–p10.3 For the loading shown in Figures P10.1–P10.3,
use the double-integration method to determine
v
w 0
(a) the equation of the elastic curve for the cantilever beam.
(b) the deflection at the free end.
(c) the slope at the free end.
Assume that EI is constant for each beam.
A
L
B
x
FIGURE p10.3
v
A
L
B
M 0
x
p10.4 For the beam and loading shown in Figure P10.4, use the
double-integration method to determine
(a) the equation of the elastic curve for segment AB of the beam.
(b) the deflection at B.
(c) the slope at A.
FIGURE p10.1
Assume that EI is constant for the beam.
v
v
P
w
A
L
B
x
A
L—
2
B
L—
2
C
x
FIGURE p10.2
FIGURE p10.4
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