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材料力学教案 部分习题答案 材料力学习题部分答案2-1 (a) N=20KN (b) N=P; N=2P2-2 =1502-3 =76.42-4 =31.92-5 G=37.1 KN2-6 a69mm2-8 d18mm; A833; P15.7KN2-10 E=204; =0.3172-11 P =21.6KN2-14 =26.56; P =50KN2-15 =0.017mm2-16 =158.4; =7.2mm2-17 x=0.6m; P200KN2-21 A22.60cm2-22 =108.3; =8.3; =141.72-24 铜杆=225; 钢杆=375; L=3.75mm2-25 =-100.7; 3-3 d=33mm; =70.73-4 =15.93-5 =134.73-6 P=176.7N; =17.63-7 =136.8; =171.0; =171.9 3-8 =406mm4-1 (a) 43; 88 ; +91; +54 (单位: Nm)4-2 =78.5; =43.3; =82.54-3 =191.7 =158.8 =191.7 4-7 1.44倍和2.33倍4-8 d=48.5mm; d=57.8mm4-9 d=21.6mm; Q =1.12KN4-10 =49.4; =1.77/m; 21.3; =0.44/m (注:由3KW改为30KW)4-11 D=63mm4-12 d=84.6mm; d=74.5mm; d=85.0mm; 主动轮安排在中间4-14 =4-18 =62.2; =115mm5-1 (a) = 5-2 (a) =119.3mm; (b) =146.7mm; =80mm; (c); =115.7mm; =0.9mm5-3 =; =5-4 (a) =2.23 =7.75(b) = = =5-5 (a) =3.5758 (对应于); 7.606; 1.9946-1 (g) =1.67KN;=5 KN; (l) =30 KN;=45 KN;=0;=40 KN6-2 (c) =2qa; =0; =q; =q(k) =qa; =0; =0; =q; =q6-4 (h) =0; =qa; =q; =q; =q (m) =0; =qa; =qa;0; =0; =0; =q (t) =qa; =qa; =0; =q =q; = q6-6 =0.2077-1 =3527-2 =1057-3 D=7-4 除纵向线应变不同外,其余相同。7-6 (a) =163; 39; 58.8(b) =18.5; 07-7 截面: =7.41; 4.95; 0; =7.41; 截面: =9.26; 6.17; 0; =9.26;7-8 =40.927-9 容许弯矩之比: 2:1 抗弯刚度之比: 4:17-10 (1) (b)的最大正应力大于(a)的最大正应力(2) =9.43; =9.87; (3) u=15.7mm; 5.35%7-11 P=35.5KN7-12 7-16 =153.87-17 =153.47-19 h=185mm; b=62mm7-20 =; d=227mm7-21 d=114.7mm7-22 =5.4, =15.07-23 32.1m7-24 a=1.385m7-25 a=2.12m; q=25KN/m7-26 P28.9KN(31.73 KN)7-27 =0.527-28 P =3.94KN; =9.457-29 =7.05; =0.487-31 =368mm; =1.8567; =167.9; =77.327-32 28a7-33 b=14cm; h=21cm8-4 y=(x+); =8-5 (a) =; =(反时针)(b) =; =; (c) =; =(d) =; =8-6 =(8-15+9); =(-3+2); =8-9 刚度条件= 解出1094; 强度条件解出 75; 选用16号工字钢 (E=200)8-13 (b) =; =; 8-14 =0.828P91 =6.37; 35.659-2 (a) =17.5; =21.6; (b) =62.5; =21.79-3 =1.125; =0.5729-4 (b)=57; =0; =7; =32; =(c) =44.82; =-5.67; =45.62; =4.38; =0; =20.62; = 9-5 (a) =94.7; =50; =5.3; =44.7(b) =50; =20; =80; =65(c) =50; =50; =80; =659-6 P=13.17KN9-7 =0; =19.8; =60; =2.719-9 (a) =20; =26; =50; =45.8(b) =31.9; =38.5; =53.9; =46.99-10 A点 =5.9; =0; =-91.1; =97; 94.2B点 =91.1; =0; =5.9; =97; 94.29-13 =46.410-3 b=90mm; h=180mm10-6 P =400N10-7 D=315mm; 156.510-12 =1.88; =0.4110-13 8倍10-18 =130.9; =75.310-19 10.54; f=21mm10-22 788N10-23 =26.710-27 d51.1mm11-2 =345KN11-3 376.3 KN11-4 =1.8E11-5 (f)最大; (d)最小11-9 138N11-10

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