试列出图示刚架的结构刚度方程。设杆件的[tex=2.857x1.214]8bZTX100yYlckfZ02s3Lqg==[/tex]均相同，结点3有水平支座位移[tex=0.786x1.0]qKOT3UIVmRs64s5fEwf8lQ==[/tex]弹簧刚度系数为[tex=0.571x1.0]CQkpoDeAAI+5FKIfe1wVCA==[/tex][img=389x291]17ad275d37063d1.png[/img]

2022-06-19

试列出图示刚架的结构刚度方程。设杆件的[tex=2.857x1.214]8bZTX100yYlckfZ02s3Lqg==[/tex]均相同，结点3有水平支座位移[tex=0.786x1.0]qKOT3UIVmRs64s5fEwf8lQ==[/tex]弹簧刚度系数为[tex=0.571x1.0]CQkpoDeAAI+5FKIfe1wVCA==[/tex][img=389x291]17ad275d37063d1.png[/img]

答案：

结构标识[img=669x400]17ad276a73558da.png[/img]（2）建立结点位移向量，结点力向量[tex=21.857x1.857]KFhTY/1saicz/Tsts3C1wti1oLBra/KGGGQZv+JFFFEvs9XDE0yR9bP5FJktnxFJ6UnR+xeN7uX4Eog7i+gpA6OaKB9AOGEmnsF3+YIde1hkMIcUIXDY2SdSEzZj95wazv/yGdQZ+Q1jHxwSJXVzQhnkCgt8WDHr63vB/GTJ0O3LD3cwuErpT1HzAgZyQ+5ez426mR4lydKk4DkkiWem+P4IW9Zw0jZ+Azu8rLeTLFg=[/tex]（3）建立单元刚度矩阵（ [tex=3.0x1.0]y4Sd4mHmD6p1dIayzlN4ZmY+yxjBq103tNXpz91kL4s=[/tex])[img=362x268]17ad277db526024.png[/img][img=1006x458]17ad27828867e0d.png[/img][tex=3.357x1.286]2XTwWhhjLpR2L0DY5hLdVw==[/tex]（4）建立结构刚度方程（对号入座的原则写出保留支座位移 [tex=0.857x1.0]8WS/lG1rya+JCT6zoxOS3w==[/tex]在内的刚度方程） [tex=45.571x14.214]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[/tex] 由已知, 支座位移[tex=3.071x1.0]9LvuDmXnUEeqH4pd0pAyl9K4jSh6BYWW8dLPAOuuKQo=[/tex] 将以上刚度矩阵  [tex=0.857x1.0]8WS/lG1rya+JCT6zoxOS3w==[/tex] 的行删除, 并将 [tex=0.857x1.0]8WS/lG1rya+JCT6zoxOS3w==[/tex] 与刚度矩阵第  4  列乘 }\text { 积移至方程右端与荷载向量合并 [tex=45.143x11.786]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[/tex]

举一反三

内容

0
图示简支刚架支座[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]下沉[tex=0.429x1.0]JThLUuJ8WswSAPiYZWihWg==[/tex],试求[tex=0.714x1.0]J/aA9EEo0KmJFnWWfX7LmQ==[/tex]点水平位移。[img=388x318]179cc4e5a68e356.png[/img]
1
如题[tex=3.643x1.357]c6+a+tVZleozxkBKnBBAqA==[/tex]图所示，为使梁截面[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]的弯矩为零,试[br][/br]问弹性支座刚度[tex=0.571x1.0]CQkpoDeAAI+5FKIfe1wVCA==[/tex]应取多大?并求此时[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]点挠度。[img=329x366]179db5f7d3ced74.png[/img]
2
图[tex=0.5x1.0]BhZ+18hz9Lz5rDhFQ34M8A==[/tex]所示体系[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]为弹性支座，刚度系数为[tex=0.571x1.0]CQkpoDeAAI+5FKIfe1wVCA==[/tex]，质点处的柔度系数为。[img=264x113]179cd0371e05cc8.png[/img] 未知类型：{'options': ['[tex=3.429x1.5]bPgQ8WxLwDszdzPE4BPapx73ej72qvd4Fk0Tz6NNT8o=[/tex]', '[tex=6.214x1.5]lTiJYgXQ57ktB94z5aEIt3UwAozF4L0aMGs8g08VysQ=[/tex]', '[tex=2.071x1.357]3CRHL1b2yANl1/+lP3F4vg==[/tex]', '[tex=6.214x1.5]lTiJYgXQ57ktB94z5aEItysv5DRPbXA9RtTehWqWJJs=[/tex]'], 'type': 102}
3
如题4-9图a所示刚架，如果支座[tex=0.786x1.0]Yn3GgEZev6SOu2r4v1WnCw==[/tex]发生图示支座位移，试求由此引起[tex=0.786x1.0]ri6gmnf1+J9dGqG5/1sV6A==[/tex]点的竖向位移[tex=1.786x1.214]6PnONg+678+gSagJrgw68Q==[/tex][img=359x288]179e1aa0834d447.png[/img]
4
在图示结构中, 1,2 两杆的抗拉刚度同为[tex=2.214x1.214]BKzSvxlI1mc2YjasV9thzA==[/tex], 3杆为[tex=2.214x1.214]uGfNj1HgmZKQiSfH6+liuA==[/tex]。 3杆的长度为[tex=2.0x1.143]e6qg3M85s3uLKdtrTrw7RQ==[/tex],其中[tex=0.5x1.0]g3C024VcW5lWpceJ6ZrB4A==[/tex]为加工误差。试求将3杆装入[tex=1.5x1.0]YhwKgXfACmgRWs7sDf5LRw==[/tex]位置后, 1,2,3三杆的轴力。[img=627x315]17f06adf9f7708e.png[/img]