最新第三章习题说课讲解

最新第三章习题说课讲解
最新第三章习题说课讲解

填空

1.将圆轴的直径增大一倍,则圆轴的刚度提高倍。

2. 将圆轴的直径增大一倍,则圆轴的强度提高倍

3.直径为D的实心圆轴,两端受到扭转力矩M的作用,此时轴内的最大剪应力为τ,两端面的相对扭转角为φ,若将轴的直径改为原来的一半,在相同的扭转力矩M的作用下,这时轴内的最大剪应力等于τ,两端面的相对扭转角等于φ。

4.对于承受扭转的圆杆,在横截面上只有应力

选择

1. 等截面圆轴上装有四个皮带轮,则四种方案中最合理方案为

( )。

A.将C轮与D轮对调;

B.将B轮与D轮对调;

C.将B轮与C轮对调;

D.将B轮与D轮对调,然后再

将B轮与C轮对调。

2.在图示受扭圆轴横截面上的切应力分布图中,正确的结果是( )。

3.内、外直径分别为d、D的空心圆轴,其抗扭截面系数为( )。

A. W P=(πD3/16)-(πd3/16)

B.W P=(πD3/32)-(πd3/32)

C. W P=[π/(16D)](D4-d4)

D.W P=(πD4/32)

-(πd4/32)

4.一空心钢轴和一实心铝轴的外径相同,比较两者的抗扭截面模量,可知( )。

A.空心钢轴的较大

B.实心铝轴的较大

C.其值一样大

D.其大小与轴的剪切弹性模量有关

5. 一受扭圆棒如图所示,其

m—m 截面上的扭矩等于()。

m

m

2M

M

M

A.M

M

M

T

m

m

2

=

+

=

-B.

=

-

=

-

M

M

T

m

m

C.M

M

M

T

m

m

=

-

=

-

2D.M

M

M

T

m

m

-

=

+

-

=

-

2

6. 传动轴转速n=250r/min,此轴上轮C输入功率为P=150kw,

轮A、B的输出功率P=50KW,P=100KW为使轴横截面上的最大

扭矩最小,轴上三个轮子的布置从左到右应按顺序( )安排比

较合理。

A. C,B,A

B. A, B, C

C. B,A,C

D. A,C,B

7. 如图,1-1截面扭距表达式正确的是()

A.T=Me1

B. T=-Me1

C.T= Me1 +Me2+ Me3

D. T =Me3—Me4

8. 实心圆轴受扭,当其直径增加一倍时,则最大剪应力是原来的()

A. 21倍;

B. 41倍;

C. 81倍;

D. 161

倍。

作图

1. 求图示杆件1-1、2-2、3-3截面的轴力并画轴力图。

2. 求图示轴1-1、2-2截面的扭矩并画扭矩图。

3.图示空心圆轴M1=6kN·m, M2=4kN·m,求1-1、2-2截面的扭矩并画扭矩图。

4. 求图示轴1-1、2-2、3-3、4-4截面的扭矩并画扭矩图。

5.求图示轴1-1、2-2截面的扭矩并画扭矩图。

6. 一传动轴如图所示,主动轮A输入的力偶矩Me1 = 500 N.m,三个从动轮输出力偶矩分别为Me2 =100N.m,Me3 = 200 N.m,Me4 = 200 N.m,试做扭矩图。

M

e4

B C D

e1

M

e2

M

e3n

7. 求图示轴1-1,2-2截面的扭矩并画扭矩图。

计算题

1. 圆截面轴,AB与BC的直径分别为d1与d2,且d1=4d2/3,试求轴内的最大扭转切应力。

2.图示等截面圆杆,直径d=100mm,许用切应力

[]a

70MP

τ,切变模量G=82GPa,已知外力偶M A=3KNm,并测得C截面相对于A截面的扭转角为0.2°(方向与外力偶MC相反),试校核该轴的强度。

3. 如图所示,实心轴和空心轴通过牙嵌式离合器连接在一起。已知轴的转速n=120r/min,传递的功率P=7.5KW,材料的许用切应力[τ]=50MPa。试确定实心轴直径d1和内外径比值为0.5的空心轴外径D2。

4. 阶梯形圆轴直径分别为d1=40mm,d2=70mm,轴上装有三个皮带轮,如图所示。已知有轮3输入功率为P3=30KW,轮1输出功率为P1=13KW,轴作匀速转动,转速n=200r/min,材料的剪切许用应力[τ]=60MPa,G=80GPa,许用扭转角[φˊ]=2°/m试校核轴的强度和刚度。

5. 传动轴的转速为n=500r/min,主动轮A 输入功率P1=500kW,从动轮C,B 分别输出功率P2=260kW,P3=240kW。已知[τ]=70MPa,

[φˊ]=1°/m,G=80GPa。

(1)试确定AC 段的直径d1和BC 段的直径d2;

(2)若AC 和BC 两段选同一直径,试确定直径d;

(3)主动轮和从动轮应如何安排才比较合理?

6. 传动轴的转速为n=500r/min,主动轮A 输入功率P1=400kW,从动轮C,B 分别输出功率P2=180kW,P3=220kW。已知[τ]=70MPa,

[φˊ]=1°/m,G=80GPa。试确定AC 段的直径d1和BC 段的直径

d2。

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(征求意见稿)

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