试用矩阵位移法计算图示连续梁, 并画出弯矩图。[img=469x155]17cfd9a4d5d5157.png[/img]
解: (1) 在[tex=4.429x1.214]eJUWwasWwaOU8vIC9aCL+A==[/tex]四点编号为 0 、 1 、 2 、 0, 且接与出整体刚度矩脌:[tex=17.5x2.786]3AGIWF0uhSM0mV494kscPNx+ll3AKEyF76Lw98e9bi3khQbCF9KQ8GOz4xx/9oZPWB51zC9cLCcIaKv2ZXVUQvLD2o1UwplVQAhAV94VbKLWpQxFrkExt2zvOF0UQuQygHDMSwbmyUdUBxRWkvtLXXES9t5YRtLtVYT2FwW9UlElLxfOSYAIYA4wKpGFQy1OY/IrPcqYTDg/ZBCwn6T8+4325BeAlKc2EwYNZplOS00=[/tex](2)等效为结点荷载[tex=4.143x2.357]ppwiby01QAo0amDmBUIQ4/6VroL/wsyhBtD/jqw36xc=[/tex], 考虑在 1 、 2 点的位置的作用, 叠加得到:[tex=6.571x5.214]svZRKdcJH8UV9wguaGsir/juIWdmL7r3+I+F+13PU2zqg8h+a6KGgmsjFztqxKOzR/i9sn6MTucMFoVKocEmNCC9DCGCc5pSG28afdJl2zU=[/tex](3)基本方程[tex=14.714x5.214]rwMhqGKFQ+j3l2qMx/grPm9Ix4cvs4y3ykYylP+AjP9rw+aWPMdTZ3Q7Kgg1kzY8Rbw+XfhlHRw9EH1y7wJ2/bYoFOwBr53g7PyoPnRQzB45L1YLjGv2soKry4g64IKMvkx5ApfrDFbgk6LRcAKjlmIwb7/dkmsg13NJYjr2ZK18A0iyeDjuZLj3miWQSG4pzUdAOBkE6oLIMMhqtmwbil0B10s6vH+sRGifeyNwSM5ii30jwzFYhNen/9hS8CsvlmPZjcT9zUubs67yLOh5liCKBSPCfgKlYxCA/8kQbTw=[/tex]解得: [tex=9.357x5.214]jcCMHflCR8OS9TosV6N5vF8ZJ6jjY8J4rPIsWtAnU+RflizTbh/VgPmLHVNDHbn9CslaW8removT3LR/wp18x/g422LmbVtcrg6SbmSEg2/pgQpH/ezowBoscYbJUNhZS5T2fmiyN25JdmlIbo/4NpgFGp4O6yjTYHvWRWivo7rfRUuq4g4LyavGzGe9XDJ9[/tex] 。(4)杆端力[tex=44.714x5.214]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[/tex][tex=23.714x5.214]VWILW4bjy/dJKDYqLarqOghGZ2wYRv73Ce0FOR22HhEsEEzPsBDhkTX5nKsAvQCHoTft5s6If52JMUpLDXldfufk9IPJCp6WGjluwkQawqriVlJvE6jOYc+4PGTCf9z3CX7DrV47BgtcZSo9EjAeJ+BxHtx3V1M9TH7JatQ/pYMDYBK+HQBun5t2K7GWHKfV81AWXIpFbdFpnC2XuAM88dtHhbXCSkh3qPVeX8m+vkAeIqAp7AUdtnMWbCSR1CLb3LjCAJi3tKxBQTtNAdA7AGaqfMpdx/aND0gt8T6xSlwTcTaCeeAnkleQJGzKw1t0v17Ji40NPAX8r7wdWCnie7h44YGSZhBb8BjmgMxX7n1iT/0RR2T2nYhyD0ABKX/XzpsjlWlXy7swXM07NkGA+w==[/tex]做[tex=1.0x1.0]/4LSvKfNeQWJ+IvWbbbjdA==[/tex] 图如下:[img=388x208]17cfd9da406fdc0.png[/img]
举一反三
内容
- 0
用矩阵位移法计算图 (a)所示连续梁,作弯矩图。各杆[tex=4.571x1.286]NSKjTj7psZYdOS6Y0a7ZyA==[/tex]。[img=581x165]17a04a412554434.png[/img]
- 1
用矩阵位移法计算图示结构(忽略轴向变形的影响),并画出弯矩图。
- 2
试计算图示连续梁并绘制其弯矩图。[img=454x165]17a76ad4087a825.png[/img]
- 3
用位移法计算图示连续梁,并作出[tex=1.0x1.0]0KCelhZna0R9EGhYF1VZHA==[/tex]图。[img=208x85]179da44efa3c661.png[/img]
- 4
试用位移法计算图示结构,绘制弯矩图。[tex=4.071x1.286]n+Wlb/jvVZnGggq96wYauw==[/tex]。[img=288x334]179d14091f503ce.png[/img]