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

P10.7 v B = −8.27 mm
P10.9 (a)
wx 0 2 3 2
v =− [ − x + 5Lx
120LEI
2 3
− 10Lx+
10 L ]
840
wL 0 4
(b) vB
=−
30EI
(c) θ
B
0 3
=− wL 24EI
P10.11 (a)
wx
3 2 3
v =− [16x − 24Lx + 9 L ]
384EI
(0 ≤ x ≤ L/2)
wL
3 2
v =− [8x
− 24Lx
384EI
2 3
+ 17 Lx−
L ]
( L/2 ≤ x ≤ L)
4
5wL
(b) vB
=−
768EI
P10.13 (a)
w0 v =− − +
120LEI x 5
( 5 L 4 x 4 L 5)
wL 0 4
(b) vmax
=−
30EI
wL 0 π
P10.15 (a)
4 x
v =− sin
4
π EI L
(b) v
(c) θ
L /2
A
(d) A
wL 0
=−
4
π 4 EI
0 3
=− wL 3
π EI
wL 0
= By
= ↑
π
P10.17 v D = 0.226 in. ↓
y
P10.19 (a) θ C = –0.00915 rad
(b) v C = 8.15 mm ↓
P10.21 v C = 27.3 mm ↓
P10.23 (a) θ A = – 0.01174 rad
(b) v midspan = 27.7 mm ↓
P10.25 (a) θ A = –0.00994 rad
(b) v midspan = 0.712 in. ↓
P10.27 (a) v A = 0.0407 in. ↓
(b) v C = 0.0951 in. ↓
P10.29 (a) θ E = 0.01326 rad
(b) v C = 0.858 in. ↓
P10.31 (a) θ B = 0.00575 rad
(b) v A = 1.028 in. ↓
P10.33 (a) θ A = – 0.00778 rad
(b) v B = 0.717 in. ↓
P10.35 (a) v A = 6.77 mm ↑
(b) v C = 11.30 mm ↓
P10.37 (a) v H = 7.50 mm ↑
(b) v H = 4.00 mm ↓
(c) v H = 9.33 mm ↓
(d) v H = 12.00 mm ↓
P10.39 v C = 0.584 in. ↓
P10.41 (a) v B = 0.257 in. ↓
(b) v C = 0.577 in. ↓
P10.43 (a) v A = 1.089 in. ↑
(b) v C = 0.435 in. ↑
P10.45 (a) v A = 4.14 mm ↓
(b) v C = 6.37 mm ↓
P10.47 v B = 6.06 mm ↓
P10.49 (a) v A = 1.520 mm ↓
(b) v C = 13.30 mm ↓
P10.51 v B = 2.89 mm ↓
P10.53 (a) v A = 0.1967 in. ↓
(b) v C = 0.1765 in. ↓
P10.55 (a) v A = 0.733 in. ↓
(b) v C = 0.214 in. ↓
P10.57 v C = 41.0 mm ↓
P10.59 v C = 1.325 in. →
Chapter 11
P11.1 M =
0
wL
6
2
(CW)
3wL
P11.3 (a) Ay
= ↑,
8
5wL
By
= ↑,
8
2
wL
MB
=
8 (CW)
wL 0
P11.5 Ay
= ↑
24
P11.7 (a) A = C =
M
M
P
2
y y ,
A
C
=
=
PL
PL
8 (CCW),
8 (CW)
3
PL
(c) vB
=−
192EI
wL 0
P11.9 (a) Ay
= Cy
=
2
M
M
A
C
5wL
0 2
= (CCW),
24
5wL
0 2
=
24 (CW)
7wL
0 4
(b) vB
=−
240EI
41wL
P11.11 (a) Ay
= ↑
128
23wL
Cy
= ↑,
128
2
7wL
MC
=
128 (CW)
P11.13 (a) A y = 225 kN ↓,
M A = 375 kN · m (CW),
B y = 225 kN ↑
(b) v C = 23.4 mm ↓
P11.15 (a) A y = 52.8 kips ↑,
B y = 43.2 kips ↑,
M B = 179.2 kip · ft (CW)
(b) v = 0.285 in. ↓
P11.17 (a) A y = 306 kN ↑,
C y = 495 kN ↑,
D y = 81.0 kN ↓
(b) v B = 6.48 mm ↓
P11.19 (a) B y = 65.9 kips ↑,
D y = 19.13 kips ↑,
M D = 105.9 kip · ft (CW)
(b) v C = 0.211 in. ↓
P11.21 (a) B y = 245 kN ↑,
C y = 120.0 kN ↑,
D y = 5.00 kN ↓
(b) v A = 14.40 mm ↓