材料力学-第五版-孙训方-课后习题答案1

材料力学一第五版.孙训方一课后习题答案

第二章轴向拉伸和压缩

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〃cos,cumt.edu/lixuesun/caili/ch21.htm〃\1

〃2-2#2-2〃2-2HYPERLINK

“/lixuesun/caili/ch21.htm"\1"2-3#2-3”2-3HYPERLINK

“/lixuesun/caili/ch21.htm"\1〃2-4#2-4〃2-4HYPERLINK

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〃/lixuesu

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〃/lixuesu

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"cos.cumt.edu/lixuesun/caili/ch21.htm，z\1〃2-9#2-9〃2-9HYPERLINK

〃cos.cumt.edu/1ixuesun/cai1i/ch22.htm〃下页

2-1试求图示各杆IT和2-2横截面上的轴力，并作轴力图。

(a)解:INCLUDEPICTURE"/lixuesun/caili/ch21/image002.gif"\*

MERGEFORMATINET；INCLUDEPICTURE

；(b)解:INCLUDEPICTURE"/lixuesun/caili/ch21/image004.gif”

INET

；INCLUDEPICTUREzzcos.cumt.edu/1ixuesun/caili/ch21/image006.gifz，\*

MERGEFORMATINET

〃cos.cumt.edu/1ixuesun/cai1i/ch21/image008.gif"INET

(b)解:INCLUDEPICTURE"/lixuesun/caili/ch21/image006.gif"\*

MERGEFORMATINET；INCLUDEPICTURE

；^cos.cumt.edu/lixuesun/caili/ch21/image008.gifz，\*MERGEFORMATINET

hiiilllllll

I脚慢!I

(c)解：INCLUDEPICTURE

“cos.cumt.edu/1ixuesun/cai1i/ch21/image014.gif"INET

INCLUDEPICTURE

〃cos.cumt.edu/1ixuesun/cai1i/ch2l/image016.gif〃\*

MERGEFORMATINET

o(d)解:

INCLUDEPICTURE"cos.cumt.edu/1ixuesun/caili/ch21/image018.gif"\*

MERGEFORMATINET

(d)解：

INCLUDEPICTURE"cos.cumt.edu/1ixuesun/cai1i/ch21/image018.gif〃\*

MERGEFORMATINET

HYPERLINK

/zcos.cumt.edu/lixuesun/caili/ch21.htm/z\1返回

2-2试求图示等直杆横截面IT,2-2和3-3上的轴力，并作轴力图。若横截面面积

INCLUDEPICTURE

,试求各横截“cos.cumt.edu/1ixuesun/caili/ch21/image026.gif〃\*

MERGEFORMATINET

面上的应力。

解：INCLUDEPICTURE?/cos.cumt.edu/lixuesun/caili/ch21/image028.gifz，\*

MERGEFORMATINET

INCLUDEPICTURE〃cos.cumt.edu/1ixuesun/cai1i/ch21/image030.gif"\*

MERGEFORMATINET

INCLUDEPICTURE

INCLUDEPICTURE〃cos.cumt.edu/1ixuesun/caili/ch21/image032.gif"\*

MERGEFORMATINET〃cos.cumt.edu/1ixuesun/caili/ch21/image034.gif〃\*

MERGEFORMATINET

INCLUDEPICTURE〃cos.cumt.edu/1ixuesun/cai1i/ch21/image036.gif"\*

MERGEFORMATINET

INCLUDEPICTURE"cos.cumt.edu/lixuesun/caili/ch21/image038.gif"\*

MERGEFORMATINET

INCLUDEPICTURE〃cos.cumt.edu/lixuesun/caili/ch21/image040.gif"\*

MERGEFORMATINETHYPERLINK

〃cos.cumt.edu/lix

uesun/caili/ch21.htm，/\1"title#title〃返回

2-3试求图示阶梯状直杆横截面IT,2-2和3-3上的轴力，

并作轴力图。若横截面面积INCLUDEPICTURE

,INCLUDEPICTURE，zcos.cumt.edu/1ixuesun/caili/ch21/image042.gifzz\*

MERGEFORMATINET

,INCLUDEPICTURE^cos.cumt.edu/1ixuesun/caili/ch21/image044.gifz/\*

MERGEFORMATINET

,并求各横截面“cos.cumt.edu/1ixuesun/caili/ch21/image046.gif"\*

MERGEFORMATINET

上的应力。

解：INCLUDEPICTURE，zcos.cumt.edu/lixuesun/caili/ch21/image050.gif，z\*

MERGEFORMATINET

INCLUDEPICTURE"cos.cumt.edu/1ixuesun/caili/ch21/image052.gif"\*

MERGEFORMATINET

INCLUDEPICTURE〃cos.cumt.edu/1ixuesun/caili/ch21/image054.gif〃\*

MERGEFORMATINETINCLUDEPICTURE"cos.cumt.edu/1ixuesun/cai1i/ch21/image056.gif"

INETINCLUDEPICTURE

“cos.cumt.edu/1ixuesun/caili/ch21/image058.gif"\*MERGEFORMATINET

INCLUDEPICTURE"cos.cumt.edu/1ixuesun/cai1i/ch21/image060.gif"\*

MERGEFORMATINET

HYPERLINK"/lixuesun/caili/ch21.htnT\1z，title#titlez，返回

2-4图示一-混合屋架结构的计算简图。屋架的上弦用钢筋混凝土制成。下面的拉杆和中

间竖向撑杆用角钢构成，其截面均为两个75nlmX8mm的等边角钢。已知屋面承受集度为

INCLUDEPICTURE〃cos.cumt.edu/1ixuesun/cai1i/ch21/image064.gif"\*

MERGEFORMATINET的竖直均布荷

载。试求拉杆AE和EG横截面上的应力。

解：INCLUDEPICTURE"/lixuesun/caili/ch21/image066.gif"\*

MERGEFORMATINET

二INCLUDEPICTUREz，cos.cumt.edu/1ixuesun/caiH/ch21/image068.gifz，\*

MERGEFORMATINET

〃/1ixuesun/cai1i/ch21/image070.gif"INET

1）求内力

INCLUDEPICTURE取1-1分离体INCLUDE?ICTURE

〃cos.cumt.edu/lixuesun/caili/ch21/image074.gif"INET

INCLUDEPICTURE"cos.cumt.edu/1ixuesun/cai1i/ch2l/image076.gif"\*

MERGEFORMATINET得INCLUDEPICTURE

z，cos.cumt.edu/lixuesun/caili/ch21/image078.gifz，INET（拉）取节

点E为分离体

INCLUDEPICTURE〃cos.cumt.edu/1ixuesun/caili/ch21/image080.gif"\*

MERGEFORMATINET"cos.cumt.edu/1ixuesun/cai1i/ch21/image082.gif"\*

MERGEFORMATINET，INCLUDEPICTURE

INCLUDEPICTURE〃cos.cumt.edu/1ixuesun/caili/ch21/image084.gif"\*

MERGEFORMATINET

INCLUDEPICTURE〃cos.cumt.edu/1ixuesun/cai1i/ch2l/image086.gif〃\*

MERGEFORMATINET故INCLUDEPICTURE

z，cos.cumt.edu/lixuesun/caili/ch21/image088.gif?，INET（拉）2）

求应力

75X8等边角钢的面积A=11.5cm2

INCLUDEPICTURE"cos.cumt.edu/1ixuesun/cai1i/ch2l/image090.gif〃\*

MERGEFORMATINET（拉）

（拉）

||||||

INCLUDEPICTURE〃cos.cumt.edu/lixuesun/caili/ch21/image092.gif"\*

MERGEFORMATINETHYPERLINK"cos.cumt.edu/lixuesun/caili/ch21.htm"\1

返回

2-5(2-6)图示拉杆承受轴向拉力INCLUDEPICTURE

^cos.cumt.edu/lixuesun/caili/ch21/image094.gifz，\*MERGEFORMATINET,杆的横截

面面积INCLUDEPICTURE"/lixuesun/caili/ch21/image096.gif"\*

MERGEFORMATINET。如以INCLUDEPICTURE

z/cos.cumt.edu/lixuesun/caili/ch21/image098.gif?，\*MERGEFORMATINET表示斜截面

与横截

面的夹角，试求当INCLUDEPICTURE

〃cos.cumt.edu/1ixuesun/cai1i/ch21/image100.gif"\*MERGEFORMATINET

INCLUDEPICTURE

,30INCLUDEPICTURE"/lixuesun/caili/ch21/imagel02.gif"\*

MERGEFORMATINET

,45INCLUDEPICTURE"/lixuesun/caili/ch21/imagel04.gif"\*

MERGEFORMATINET

,60INCLUDEPICTURE"/lixuesun/caili/ch21/imagcl05.gif"\*

MERGEFORMATINET

,90INCLUDEPICTUREcos.cumt.edu/1ixuesun/caili/ch21/imagel06.gif〃\*

MERGEFORMATINET

z/cos.cumt.edu/lixuesun/caili/ch21/imagel07.gifzzINET时各斜截

面上的正应力和切应力，并

用图表示其方向。

解：

INCLUDEPICTURE"cos.cumt.edu/1ixuesun/caili/ch21/imagelll.gif"\*

MERGEFORMATINET

INCLUDEPICTURE"cos.cumt.edu/1ixuesun/cai1i/ch21/image113.gif"\*

MERGEFORMATINETINCLUDEPICTURE

〃cos・cumt.edu/1ixuesun/caili/ch21/imagel09.gif"\*

MERGEFORMATINETINCLUDEPICTURE

“cos.cumt.edu/1ixuesun/caili/ch21/imagel17.gif"\*MERGEFORMATINET

INCLUDEPICTUREINCLUDEPICTURE

z，cos.cumt.edu/1ixuesun/cai1i/ch21/image119.gif〃\*MERGEFORMATINET

〃cos.cumt.edu/1ixuesun/cai1i/ch21/imagel15.gif"\*

MERGEFORMATINETINCLUDEPICTURE

z，cos.cumt.edu/1ixuesun/cai1i/ch21/image123.gif〃\*MERGEFORMATINET

INCLUDEPICTUREINCLUDEPICTURE

“cos.cumt.edu/1ixuesun/cai11/ch21/image125.gif〃\*MERGEFORMATINET

“cos.cumt.edu/1ixuesun/cai1i/ch21/imagel21.gif〃\*

MERGEFORMATINETINCLUDEPICTURE

z，cos.cumt.edu/1ixuesun/cai1i/ch21/image129.gif"\*MERGEFORMATINET

INCLUDEPICTUREINCLUDEPICTURE

〃cos.cumt.edu/1ixuesun/cai1i/ch21/image131.gifz，\*MERGEFORMATINET

〃cos.cumt.edu/1ixuesun/cai1i/ch21/image127.gif〃\*

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MERGEFORMATINET

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MERGEFORMATINET

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MERGEFORMATINET

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“/1ixuesun/caili/ch21/imagel15.gif〃INET

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MERGEFORMATINET

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“cos.cumt.edu/1ixuesun/cai1i/ch21/image137.gif"\*MERGEFORMATINET

“cos.cumt.edu/1ixuesun/cai1i/ch21/imagel33.gif"INET

INCLUDEPICTURE"cos.cumt.edu/1ixuesun/cai1i/ch21/image141.gif〃\*

MERGEFORMATINET

INCLUDEPICTUREINCLUDEPICTURE

“cos.cumt.edu/1ixuesun/cai1i/ch21/image143.gif〃\*MERGEFORMATINET

〃cos.cumt.edu/1ixuesun/caili/ch21/image139.gif"INETHYPERL1NK

，zcos.cumt.edu/lixuesun/caili/ch21.htm/z\1z，title#title，z返回

INCLUDEPICTURE

〃cos.cumt.edu/1ixuesun/caiIi/ch21/imagel27.gif"INET

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MERGEFORMATINET

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MERGEFORMATINET

INCLUDEPICTUREINCLUDEPICTURE

〃cos.cumt.edu/lixuesun/cai11/ch21/imagel43.gifz，\*MERGEFORMATINET

"cos.cumt.edu/1ixuesun/caiIi/ch21/imagel39.gif"INETHYPERLINK

z/cos.cumt.edu/lixuesun/caili/ch21.htm/z\1返回

INCLUDEPICTURE"cos.cumt.edu/1ixuesun/caili/ch21/image135.gif"\*

MERGEFORMATINETINCLUDEPICTURE

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MERGEFORMATINET

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MERGEFORMATINET

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“cos.cumt.edu/lixuesun/cai1i/ch21/imagel43.gif"\*MERGEFORMATINET

"cos.cumt.edu/lixuesun/caili/ch21/imagel39.gif"INETHYPERLINK

“/lixuesun/caili/ch21.htnT\1，ztitle#titlez，返回

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MERGEFORMATINETINCLUDEPICTURE

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MERGEFORMATINET

〃cos./1ixuesun/cai1i/ch21/imagel33.gif"INET

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MERGEFORMATINET

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"cos.cumt.edu/lixuesun/caili/ch21/imagel39.gif"INETHYPERLINK

，zcos.cumt.edu/lixuesun/caili/ch21.htm，?\1z，title#title，z返回

INCLUDEPICTURE

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z，cos.cumt.edu/lixuesun/caili/ch21.htm，z\1返回

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MERGEFORMATINET

INCLUDEPICTURE"cos.cumt.edu/1ixuesun/caili/ch21/image143.gif"\*

MERGEFORMATINETINCLUDEPICTURE

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，zcos.cumt.edu/lixuesun/caili/ch21.htm/z\1z，title#title，z返回

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MERGEFORMATINET

INCLUDEPICTURE"cos.cumt.edu/1ixuesun/caili/ch21/image143.gif"\*

MERGEFORMATINETINCLUDEPICTURE

"cos.cumt.edu/lixuesun/caili/ch21/imagel39.gif"INETHYPERLINK

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zzcos.cumt.edu/lixuesun/caili/ch21/imagel39.gif"INETHYPERLINK

“/lixuesun/caili/ch21.htm"\1z，title#title，z返回HYPERLINK

“/lixuesun/caili/ch2LhtnT\1zztitle#title，z返回HYPERLINK

z，cos.cumt.edu/lixuesun/caili/ch21.htmz，\1返回

2-6(2-8)・木桩柱受力如图所示。柱的横截面为边长200mm的正方形，材料可认为符

合胡克定律,其弹性模量E=10GPa。如不计柱的自重，试求:

(1)作轴力图；

(2)各段柱横截面上的应力；

(3)各段柱的纵向线应变；

(4)柱的总变形。

INCLUDEPICTURE

〃cos.cumt.edu/lixuesun/caili/ch21/image145.gif,\*

MERGEFORMATINET

解:INCLUDEPICTURE"/lixuesun/caili/ch21/imagcl47.gif"\*

MERGEFORMATINET(压)

INCLUDEPICTURE〃cos.cumt.edu/1ixuesun/caili/ch21/image149.gif"\*

MERGEFORMATINET(压)

INCLUDEPICTUREINCLUDEPICTURE

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〃cos.cumt.edu/1ixuesun/cai1i/ch21/imagel53.gif"INET

INCLUDEPICTURE"cos.cumt.edu/1ixuesun/cai1i/ch21/image155.gif"\*

MERGEFORMATINETINCLUDEPICTUREz，cos.cumt.edu/1ixuesun/cai1i/ch21/imagel57.gif"

INETINCLUDEPICTURE

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INCLUDEPICTURE〃cos.cumt.edu/1ixuesun/caili/ch21/image161.gif〃\*

MERGEFORMATINETINCLUDEPICTUREz，cos.cumt.edu/1ixuesun/cai1i/ch21/imagel63.gif"

INET

HYPERLINKz，cos.cumt.edu/lixuesun/caili/ch21.htm^\1返回

2-7(2-9)一根直径INCLUDEPICTURE

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INCLUDEPICTURE"cos.cumt.edu/lixuesun/caili/ch21/image167.gif"\*

MERGEFORMATINET的圆截面杆，承受轴向拉力

,其伸长为INCLUDEPICTUREINCLUDEPICTURE

“cos.cumt.edu/lixuesun/cai1i/ch21/image169.gif〃\*MERGEFORMATINET

，zcos.cumt.edu/lixuesun/caili/ch21/imagel71.gifz，INET。试求杆

横截面上的应力与材料的弹性模量Eo

解：INCLUDEPICTURE/zcos.cumt.edu/lixuesun/caili/ch21/imagel73.gifz，\*

MERGEFORMATINET

INCLUDEPICTURE"cos.cumt.edu/lixuesun/caili/ch21/image175.gif"\*

MERGEFORMATINET

2-8(2-11)受轴向拉力F作用的箱形薄壁杆如图所示。已知该杆材料的弹性常数为E,

INCLUDEPICTURE"cos.cumt.edu/lixuesun/caili/ch21/image177.gif"\*

MERGEFORMATINET,试求C与D两点间的距离改变量INCLUDEPICTURE

“/lixuesun/caili/ch21/imagel79.gif"\*MERGEFORMATINET。

解：INCLUDEPICTUREz/cos.cumt.edu/lixuesun/caili/ch21/imagel81.gifz，\*

MERGEFORMATINET

〃cos.cumt.edu/1ixuesun/cai1i/ch21/imagel83.gif〃INET

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INCLUDEPICTURE

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MERGEFORMATINET

横截面上的线应变相同

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〃cos.cumt.edu/1ixuesun/caili/ch21/image187.gif〃\*

MERGEFORMATINET

因此INCLUDEPICTURE"/lixuesun/caili/ch21/imagel89.gif"\*

MERGEFORMATINET

INCLUDEPICTURE

〃cos./lixuesun/caili/ch21/image191.gif"\*

MERGEFORMATINETINCLUDEPICTURE

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MERGEFORMATINET

HYPERLINK"/lixuesun/caili/ch21.htnT\1返回

2-9（2-12）图示结构中，AB为水平放置的刚性杆，杆1,2,3材料相同，其弹性模量

E=210GPa,已知INCLUDEPICTURE"/lixuesun/caili/ch21/imagel93.gif”

INET,

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MERGEFORMATINET

o试求C点的水平位移和铅垂位移。

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INCLUDEPICTURE

〃cos.cumt.edu/1ixuesun/cai1i/ch21/image201.gif〃\*

MERGEFORMATINET解：（1）受力图（a）

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MERGEFORMATINET

“/lixuesun/caili/ch21/image205.gif"INET,

INCLUDEPICTURE。

（2）变形协调图（b）

因INCLUDEPICTURE，zcos.cumt.edu/1ixuesun/caili/ch21/image209.gifz，\*

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MERGEFORMATINET

为保证INCLUDEPICTUREz，cos.cumt.edu/lixuesun/caili/ch21/image223.gifz，\*

MERGEFORMATINET,点A移至INCLUDEPICTURE

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MERGEFORMATINET

INCLUDEPICTURE"cos.cumt.edu/1ixuesun/cai1i/ch21/image227.gif"\*

MERGEFORMATINET

INCLUDEPICTURE〃cos.cumt.edu/1ixuesun/caili/ch21/image229.gif"\*

MERGEFORMATINET

HYPERLINK"/lixuesun/caili/ch21.htnT\1返回

第三章扭转

HYPERLINK"cos.cumt.edu/1ixuesun/caili/ch3.htm"\1〃3T#3T〃3-1HYPERLINK

“cos.cumt.edu/1ixuesun/cai1i/ch3.htm〃\1

〃3-2#3-2〃3-2HYPERLINK

“/lixuesun/caili/ch3.htnT\1〃3-3#3-3〃3-3HYPERLINK

“/lixuesun/caili/ch3.htnT\1〃3-4#3-4〃3-4HYPERLINK

〃cos,cumt.edu/1ixuesun/cai1i/ch3.htm〃\1

〃3-5#3-5〃3-5HYPERLINK

，zcos.cumt.edu/1ixuesun/caili/ch3.htm，z\1"3-6#3-6"3-6HYPERLINK

z，cos.cumt.edu/1ixuesun/caili/ch3.htmz/\1〃3-7#3-7〃3-7HYPERLINK

“cos.cumt.edu/1ixuesun/cai1i/ch3.htm〃\1

3-8#3-8〃3-8HYPERLINK

,zcos.cumt.edu/lixuesun/caili/ch3.htm/，\1〃3-9#3-9〃3-9

HYPERLINK"/lixuesun/caili/ch3.htnT\1〃3-10#3-10〃3-10HYPERLINK

〃/1ixuesun/cai1i/ch3.htm〃\1

〃3T1#3T1〃3-11HYPERLINK

〃cos.cumt.edu/1ixuesun/caili/ch3.htm，z\1

〃3T2#3T2〃3-12

3-1一传动轴作匀速转动，转速