目錄
9/28_HW1 .................................................................................... 2
9/30_HW2 .................................................................................... 4
10/7_HW3 .................................................................................... 6
10/14_HW4 .................................................................................. 7
10/21_HW5 .................................................................................. 9
10/28_HW6 ................................................................................ 11
11/11_HW7 ................................................................................ 13
11/18_HW8 ................................................................................ 15
11/25_HW9 ................................................................................ 17
12/2_HW10 ................................................................................ 19
12/16_HW11 .............................................................................. 20
12/23_HW12 .............................................................................. 22
12/30_HW13 .............................................................................. 23
1/6_HW14 .................................................................................. 25
9/28_HW1
1.1
1.10
1.30
1.51
1.63
(a)84.9MPa (b)-96.8MPa
(a)72.2MPa (b)-83.3MPa
(a)13.95kN (b)620kPa
13.7kN
(a)17.86kN (b)-41.4MPa
9/30_HW2
2.14 1.988kN
2.30 Ph/πEab ↓
2.39 (a)RA=62.8kN←；RE=37.2kN← (b)46.3μm
2.60 (a)-116.2MPa (b)0.363mm
10/7_HW3
2.71 (a) νσ0 (b) E/(1-ν2)
2.105 176.7kN; 3.84mm
10/14_HW4
3.16 (a)35.8mm (b)42.4mm
3.37 (a)14.43∘ (b)46.9∘
3.51 (a)27.9MPa (b)36.7MPa
3.76 (a)29.7MPa (b)49.4MPa
10/21_HW5
3.104 (a)8.17mm (b)42.1∘
3.144 τa=4.73MPa; τb=9.46MPa
4.16 106.1 N·m
4.39 (a)-56.0MPa (b)66.4MPa
10/28_HW6
4.59
4.92
4.121
4.145
(a)6.15MPa (b)-8.69MPa
(a)95.3MPa (b)-37.9mm, 0mm, 37.9mm (c)48.9m
(a)30.0mm (b)94.5kN
17.11mm
11/11_HW7
5.16
7.13MPa
(a) 𝑉 = (w0 𝐿/𝜋)𝑐𝑜𝑠(𝜋𝑥/𝐿); 𝑀 = (w0 𝐿2 /𝜋 2 )𝑠𝑖𝑛(𝜋𝑥/𝐿)
(𝑏) w0 𝐿2 /𝜋 2
5.70 b>48.0mm
5.108 (a) 𝑉 = 62.5 − 25⟨𝑥 − 0.6⟩1 + 25⟨𝑥 − 2.4⟩1 − 40⟨𝑥 − 0.6⟩0 −
40⟨𝑥 − 2.4⟩0 𝑘𝑁
𝑀 = 62.5𝑥 − 12.5⟨𝑥 − 0.6⟩2 + 12.5⟨𝑥 − 2.4⟩2 −
40⟨𝑥 − 0.6⟩1 − 40⟨𝑥 − 2.4⟩1 𝑘𝑁 · m
(b)47.6kN·m
5.52
𝑥
5.128 (a) ℎ = ℎ0 ( )3/2 (b)167.7mm
𝐿
11/18_HW8
6.19 (a) h/2L (b) h=320mm; b=97.7mm
6.36 (a)101.6MPa (b)79.9MPa
6.68 (a)10.22mm (b)0 at B, E, G, and J; 41.1MPa at A and H; 68.5MPa
just above D and just below F;13.71MPa just to right of D and
just to the rigjt of F; 77.7MPajust below D and just above F;
81.1MPa at K
6.89 60.0mm
11/25_HW9
7.15 (a) 𝜎𝑥′ = 63.1𝑀𝑃𝑎, 𝜎𝑦′ = −91.1𝑀𝑃𝑎, 𝜏𝑥′𝑦′ = 26.6𝑀𝑃𝑎
(b) 𝜎𝑥′ = 37.4𝑀𝑃𝑎, 𝜎𝑦′ = −65.4𝑀𝑃𝑎, 𝜏𝑥′𝑦′ = −63.4𝑀𝑃𝑎
7.63 (a)33.7∘, 123.7∘(b)126MPa (c)45.5MPa
7.70 (a)39MPa (b)54MPa (c)42MPa
7.96 196.9N·m
7.98 (a)1.290MPa (b)0.852mm
12/2_HW10
7.126 (a)35.1MPa (b)1.665MPa
7.154 1.421MPa
12/16_HW11
8.15
8.31
8.66
8.72
41.2mm
(a)-74.3MPa; 0 (b)14.0MPa; 14.72MPa (c)102.3MPa; 0
38.8mm
(a)79.6MPa; τ=7.96MPa (b) σ=0; τ=13.36MPa
9.20 3wL/8↑
9.38 (a) 22Pa3/3EI↓ (b) 41Pa3/3EI↓
12/23_HW12
9.71 (a) 𝑤𝐿4 /128𝐸𝐼 (b) 𝑤𝐿4 /72𝐸𝐼
9.94 9.31mm↓
12/30_HW13
10.5
10.13
10.24
10.32
k>4.91kN/m
(a)13.06kN (b)22.9mm (c)40.6%
657mm
(a)1.423mm (b)132.0MPa
1/6_HW14
11.10
11.23
11.37
11.42
11.73
11.99
(a)12.18J (b)𝑢𝐴𝐵 =15.83kJ/m3; uBC=38.6kJ/m3
1015J
(a) No yield (b) Yield occurs
24.7mm
1.142mm
xc=0, yc=2.80PL/EA↓