F 572 Mechanics of Materials: Answers to Selected problems M. Vable Printed from: http://www.me.mtu.edu/~mavable/MoM2nd.htm January, 2010 CHAPTER 4 4.2 4.4 4.9 4.13 (a) (b) 4.18 4.20 4.21 (a) (b) 4.24 4.27 4.31 4.33 4.41 (a) (b) 4.44 4.46 4.50 4.51 4.61 4.65 (a) (b) 4.67 4.70 4.74 4.77 4.83 4.85 4.87 4.89 4.90 4.94 4.95 4.99 4.100 4.104 4.106 CHAPTER 5 5.1 5.2 5.7 5.11 F 1 108.5 kN; = F 2 45.2 kN; = F 3 94.3 kN = F 11.25 kips = u D u A – 0.175 in – = u D u A – 0.0234 in; – = V max 3.75 ksi (C) = u B u A – 0.126 mm = u 0.4621 P EK e = u C u A – 0.034 in; = V max 33.95 ksi (T) = u B J L 2 – 2 E e = G 0.045 in = F max 4886 lb = d p 0.5 in; = a b 1 1 8 -- in; = b s 1 5 16 ----- in = 'u 0.60 mm; = V max 62.2 MPa (T) = a 224.40 b 23.60 c 0.40; – = ; – = ; = u A 0.017 in to the left = F 46.9 kips = G P 0.23 mm = V A 8.0 ksi (C); = G B 0.0021 in = G P 0.24 mm; = V A 118 MPa (C) = G p 0.0265 in; = 'd s 0.00074 in; = 'd al 0.00066 in – = V A 22.5 ksi (C); = V B 17.2 ksi (T) = F max 555 kN = F max 17.2 kN = w max 9.4 MPa = P max 106.7 kips = A BC 1.1 in 2 ; = d 1.3 in = F max 148.6 kN = F max 181.9 kN = V A 5.2 ksi (T); = V B 3.5 ksi (T) = V xx 0; = uL 2 e DT L L 24 e = V xx EDT L 3 e C ; = uL 2 e DT L L 8 e – = V A 25.70 ksi (T) = V TT 10 MPa (T); = W r 40 MPa = t min 0.05 in; = d noz 0.206 in = p max 500 psi; = d riv 0.85 in = J D 2400 Prad = T 64.8 in-kips = I 1 0.0400 rad; = I 2 0.0243 rad; = I 3 0.0957 rad T 495.2 – in-kips =
Fmax 181.9 kN=VA 5.2 ksi (T);= VB 3.5 ksi (T)=Vxx 0;= u L 2e
DTLL 24e=Vxx EDTL 3e C ;= u L 2e DTLL 8e=VA 25.70 ksi (T)=VTT 10
MPa (T);= Wr 40 MPa=tmin 0.05 in;= dnoz 0.206 in=
pmax 500 psi;= driv 0.85 in=
JD 2400 Prad=T 64.8 in-kips=I1 0.0400 rad;= I2 0.0243 rad;= I3
0.0957 rad T 495.2 in-kips=
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5.13
5.23 (a) (b)
5.26 (a) (b)
5.29
5.32
5.35
5.38 (a) (b)
5.40
5.41
5.43
5.47
5.57
5.59
5.60
5.63
5.66
5.67
5.71
5.74
5.75
5.76
5.95
5.101
CHAPTER 6
6.1
6.3
6.6
6.7
6.12
6.14
6.25
6.29
6.35
6.38
6.42 (a) (b)
6.45
6.49
6.51
6.53
T 10.9 kN-m=Wxy A 0;! Wxy B 0Wxy A 0;! Wxy B 0ID IA 0.00711 rads
CW=ID 0.0163 rads CW;= Jmax 1094P;= WxT E 4.4 ksi=IA 1676 Prads
CW;= WxT E 15.1 MPa=IB 0.1819 TextL Gr4e CCW;= Wmax 0.275Text
r3e=IA qL2 GJe CW=T 69.2 in-kips=
