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

P11.23 (a) P = 12.50 kips
(b) M = 310 kip · ft
P11.25 A y = 17wL/16 ↑, B y = 7wL/16 ↑, M B = wL 2 /16 (CW)
57wL
7wL
P11.27 Ay
= ↑ , Cy
= ↑
64
64
M
=
9wL
32
P11.29 B y = 3wL/2 ↑
A
2
(CCW)
P11.31 (a) A y = 160.0 kN ↓, B y = 480 kN ↑, C y = 220 kN ↑
(b) σ max = 235 MPa
P11.33 (a) B y = 142.0 kips ↑, C y = 90.0 kips ↑,
M C = 336 kip · ft (CW)
(b) v B = 2.16 in. ↓
P11.35 (a) A y = 2,750 lb ↓, B y = 10,750 lb ↓,
M A = 25,000 lb · in. (CW)
(b) σ max = 12,670 psi
P11.37 (a) B y = 79.0 lb ↑, C y = 157.5 lb ↑, E y = 93.5 lb ↑
(b) σ max = 14,290 psi
P11.39 (a) A y = 52.8 kN ↑, C y = 97.2 kN ↑,
M A = 144 kN · m (CCW), M C = 216 kN · m (CW)
(b) σ max = 103.9 MPa (at C)
(c) v B = 6.24 mm ↓
P11.41 (a) F 1 = 46.8 kN (T)
(b) σ max = 48.9 MPa
(c) v B = 6.39 mm ↓
P11.43 (a) A y = 22.6 kN ↑, B y = 95.7 kN ↑, C y = 41.7 kN ↑
(b) σ max = 143.6 MPa
P11.45 (a) A y = 134.5 kN ↑, B y = 178.8 kN ↑,
C y = 13.31 kN ↓
(b) σ max = 157.9 MPa
(c) v B = 3.73 mm ↓
P11.47 (a) A y = 4.43 kips ↑
(b) C y = 2.07 kips ↑
P11.49 (a) v D = 14.10 mm ↓
(b) v B = 25.8 mm ↓
Chapter 12
P12.1 (a) σ x = 3.74 ksi, τ xy = 6.65 ksi
(b) σ x = 1.273 ksi, τ xy = –3.96 ksi
P12.3 (a) σ x = –9.04 MPa, τ xy = 6.48 MPa
(b) σ x = 10.45 MPa, τ xy = 7.56 MPa
P12.5 (a) σ x = –547 psi, τ xy = –273 psi
(b) σ x = 425 psi, τ xy = –263 psi
P12.7 Point H: σ x = 19.67 MPa, σ y = 0 MPa, τ xy = 2.74 MPa.
Point K: σ x = 0 MPa, σ y = –21.9 MPa,
τ xy = 1.827 MPa
P12.9 (a) σ x = –805 psi, τ xy = 2,400 psi
(b) σ x = 4,240 psi, τ xy = 2,900 psi
P12.11 σ n = −42.8 MPa, τ nt = 140.3 MPa
P12.13 σ n = 929 psi, τ nt = −2,430 psi
P12.15 σ n = – 4.77 ksi, τ nt = −6.69 ksi
P12.17 σ n = − 28.1 MPa, τ nt = –135.8 MPa
P12.19 σ n = 11.63 ksi, τ nt = 4.76 ksi
P12.21 σ n = – 3.63 MPa, τ nt = 5.68 MPa
P12.23 σ n = 112.8 MPa, σ t = −58.8 MPa, τ nt = 34.2 MPa
P12.25 σ x = − 38.8 MPa, σ y = 49.8 MPa, τ xy = − 87.3 MPa
P12.27
P12.29
P12.31 (a) σ p1 = 2.97 ksi, σ p2 = −18.97 ksi,
θ p = −32.9°, τ max = 10.97 ksi
(c) τ abs max = 10.97 ksi
P12.33 (a) σ p1 = 32.9 ksi, σ p2 = 5.13 ksi,
θ p = −42.1°, τ max = 13.87 ksi
(c) τ abs max = 16.44 ksi
841