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

p11.5 A beam is loaded and supported as shown in Figure P11.5.
Use the fourth-order integration method to determine the reaction at
roller support A.
v
w
x
v
w
w(x) = — 0
x2
L 2
w 0
A
L
B
A
FIGURE p11.5
L
p11.6 A beam is loaded and supported as shown in Figure P11.6.
Use the fourth-order integration method to determine the reactions
at supports A and B.
B
x
FIGURE p11.8
p11.9 A beam is loaded and supported as shown in Figure P11.9.
(a) Use the double-integration method to determine the reactions
at supports A and C.
(b) Determine the deflection in the middle of the span.
v
w 0
v
w(x) = w 0 sin — πx
L
A
B
C
x
w 0
L
L
x
FIGURE p11.9
A
B
FIGURE p11.6
L
p11.10–p11.11 A beam is loaded and supported as shown in
Figures P11.10 and P11.11.
p11.7 A beam is loaded and supported as shown in Figure P11.7.
(a) Use the double-integration method to determine the reactions
at supports A and C.
(b) Draw the shear-force and bending-moment diagrams for the
beam.
(c) Determine the deflection in the middle of the span.
(a) Use the double-integration method to determine the reactions
at supports A and C.
(b) Draw the shear-force and bending-moment diagrams for the
beam.
v
v
P
M 0
x
A
B
C
A
L—
2
FIGURE p11.7
B
L—
2
C
x
L—
2
FIGURE p11.10
v
L—
2
p11.8 A beam is loaded and supported as shown in Figure P11.8.
(a) Use the double-integration method to determine the reactions
at supports A and B.
(b) Draw the shear-force and bending-moment diagrams for the
beam.
(c) Determine the deflection in the middle of the span.
A
w
FIGURE p11.11
L—
2
B
L—
2
C
x
453