结构力学钢架.docx
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结构力学钢架.docx
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结构力学钢架
结构力学钢架
烟台大学土木学院
结构力学
结构力学上机报告
专业土木工程
班级土091—2
姓名孔文江
学号200928501213
任课教师于玲玲
2011年11月22日
7—22
(1)当
=1,
=1时
位移图
位移计算
杆端位移值(乘子=1)
-----------------------------------------------------------------------------------------------
杆端1杆端2
----------------------------------------------------------------------------------
单元码u-水平位移v-竖直位移-转角u-水平位移v-竖直位移-转角
-----------------------------------------------------------------------------------------------
10.000000000.000000000.000000000.015037550.00000000-0.00341667
20.015037550.00000000-0.003416670.028895170.00000000-0.00185601
30.02889517-0.00000000-0.001184760.01503755-0.00000000-0.00238966
40.01503755-0.00000000-0.002389660.000000000.000000000.00000000
50.000000000.000000000.000000000.01503755-0.00000000-0.00341667
60.01503755-0.00000000-0.003416670.02889517-0.00000000-0.00185601
70.028895170.00000000-0.001856010.02889517-0.00000000-0.00118476
80.015037550.00000000-0.003416670.01503755-0.00000000-0.00238966
90.02889517-0.00000000-0.001184760.02889517-0.00000000-0.00185601
100.01503755-0.00000000-0.002389660.01503755-0.00000000-0.00341667
弯矩图(kN·m)
(3)当
=10,
=1时
位移图
位移计算
杆端位移值(乘子=1)
-----------------------------------------------------------------------------------------------
杆端1杆端2
----------------------------------------------------------------------------------
单元码u-水平位移v-竖直位移-转角u-水平位移v-竖直位移-转角
-----------------------------------------------------------------------------------------------
10.000000000.000000000.000000000.015037550.00000000-0.00341667
20.015037550.00000000-0.003416670.028895170.00000000-0.00185601
30.02889517-0.00000000-0.001184760.01503755-0.00000000-0.00238966
40.01503755-0.00000000-0.002389660.000000000.000000000.00000000
50.000000000.000000000.000000000.01503755-0.00000000-0.00341667
60.01503755-0.00000000-0.003416670.02889517-0.00000000-0.00185601
70.028895170.00000000-0.001856010.02889517-0.00000000-0.00118476
80.015037550.00000000-0.003416670.01503755-0.00000000-0.00238966
90.02889517-0.00000000-0.001184760.02889517-0.00000000-0.00185601
100.01503755-0.00000000-0.002389660.01503755-0.00000000-0.00341667
弯矩图(kN·m)
减小钢架的侧向位移时选用第二种情况比较好,改善受力情况时选用第一种或第三种比较好。
加大柱刚度时,钢架侧移最小,加大梁刚度情况在一定程度上也可减小侧移,但效果不如加大柱刚度明显,即选择加大柱子刚度情况,“强柱弱梁”,可显著减小钢架侧移。
7—23
(a)忽略节点侧移
(1)当
=1,
=1时
弯矩图(kN·m)
(2)当
=1,
=10时
弯矩图(kN·m)
(3)当
=10,
=1时
弯矩图(kN·m)
(b)考虑节点侧移
(1)当
=1,
=1时
弯矩图(kN·m)
(2)当
=1,
=10时
弯矩图(kN·m)
(3)当
=10,
=1时
弯矩图(kN·m)
(C)
(1)当
=1,
=1时
①忽略节点侧移
内力计算
杆端内力值(乘子=1)
-----------------------------------------------------------------------------------------------
杆端1杆端2
----------------------------------------------------------------------------------
单元码轴力剪力弯矩轴力剪力弯矩
-----------------------------------------------------------------------------------------------
1-75.2309782-5.788043437.97101439-75.2309782-5.78804343-15.1811593
2-36.8885869-14.673913026.5217392-36.8885869-14.6739130-32.1739131
3-78.02083335.89673908-12.6811593-78.02083335.8967390810.9057970
4-152.9030791.71195658-4.81884069-152.9030791.711956582.02898562
5-51.86594202.36413049-2.89855083-51.86594202.364130496.55797112
6-25.09057967.06521735-13.3333332-25.09057967.0652173514.9275361
7-14.673913036.8885869-32.1739131-14.6739130-43.1114130-57.0652173
88.8858695038.3423913-41.70289858.88586950-41.6576087-54.9637681
9-8.7771740034.9094203-44.3840580-8.77717400-25.0905796-14.9275361
104.7010870033.2246376-39.23913044.70108700-26.7753623-19.8913043
②考虑节点侧移
内力计算
杆端内力值(乘子=1)
-----------------------------------------------------------------------------------------------
杆端1杆端2
----------------------------------------------------------------------------------
单元码轴力剪力弯矩轴力剪力弯矩
-----------------------------------------------------------------------------------------------
1-74.6378314-5.274219806.64501785-74.6378314-5.27421980-14.4518613
2-36.6577214-14.209814125.6882552-36.6577214-14.2098141-31.1510011
3-77.94387816.68049803-14.3291841-77.94387816.6804980312.3928079
4-152.7053642.39626550-6.00276613-152.7053642.396265503.58229588
5-52.65680442.87795412-4.22454737-52.65680442.877954127.28726911
6-25.39840047.52931633-14.1668171-25.39840047.5293163315.9504481
7-14.209815936.6577214-31.1510011-14.2098159-43.3422785-57.8892297
88.9355940837.9801100-40.14011668.93559408-42.0198899-56.2992363
9-7.5293121334.6015995-43.5600455-7.52931213-25.3984004-15.9504481
104.6513624232.7415959-37.90366224.65136242-27.2584040-21.4540862
----------------------------------------------------------------------------------------------
(2)当
=1,
=10时
①忽略节点侧移
内力计算
杆端内力值(乘子=1)
-----------------------------------------------------------------------------------------------
杆端1杆端2
----------------------------------------------------------------------------------
单元码轴力剪力弯矩轴力剪力弯矩
-----------------------------------------------------------------------------------------------
1-79.3603020-5.996501868.14213775-79.3603020-5.99650186-15.8438697
2-39.5202143-21.553445636.2928575-39.5202143-21.5534456-49.9209250
3-71.45819449.19989198-20.9488407-71.45819449.1998919815.8507271
4-142.0116862.35784903-6.43439934-142.0116862.357849032.99699678
5-58.62801153.10543991-3.99378462-58.62801153.105439918.42797502
6-29.021591111.8203407-20.3414466-29.021591111.820340726.9399163
7-21.553445639.5202143-49.9209250-21.5534456-40.4797856-53.7592100
815.556943839.8400876-52.136727215.5569438-40.1599123-53.4160260
9-12.353553630.9784088-32.8103692-12.3535536-29.0215911-26.9399163
108.7149007930.3935796-31.13089958.71490079-29.6064203-28.7694216
②考虑节点侧移
内力计算
杆端内力值(乘子=1)
-----------------------------------------------------------------------------------------------
杆端1杆端2
----------------------------------------------------------------------------------
单元码轴力剪力弯矩轴力剪力弯矩
-----------------------------------------------------------------------------------------------
1-79.2367406-5.827297687.39060945-79.2367406-5.82729768-15.9185812
2-39.4573409-21.409515935.9736873-39.4573409-21.4095159-49.6643764
3-71.43723669.44524518-21.4417185-71.43723669.4452451816.3392621
4-141.9704992.55265336-6.42795481-141.9704992.552653363.78265861
5-58.79276013.27464409-4.74531293-58.79276013.274644098.35326343
6-29.105422411.9642704-20.6606168-29.105422411.964270427.1964650
7-21.409515339.4573409-49.6643764-21.4095153-40.5426590-54.0056489
815.582218239.7793996-51.892268515.5822182-40.2206003-53.6570712
9-11.964271030.8945775-32.5639303-11.9642710-29.1054224-27.1964650
108.6896263430.3126623-30.88985428.68962634-29.6873376-29.0138802
-----------------------------------------------------------------------------------------------
(3)当
=10,
=1时
①忽略节点侧移
内力计算
杆端内力值(乘子=1)
-----------------------------------------------------------------------------------------------
杆端1杆端2
----------------------------------------------------------------------------------
单元码轴力剪力弯矩轴力剪力弯矩
-----------------------------------------------------------------------------------------------
1-67.3170118-1.969040642.70192316-67.3170118-1.96904064-5.17423939
2-33.2991719-3.815793057.48350465-33.2991719-3.81579305-7.77966753
3-85.95108381.50880233-3.06986372-85.95108381.508802332.96534561
4-170.5604460.54300168-1.52454013-170.5604460.543001680.64746660
5-42.12254210.52147170-0.61875997-42.12254210.521471701.46712685
6-20.74974411.40242329-2.79480025-20.74974411.402423292.81489291
7-3.8157930533.2991719-7.77966753-3.81579305-46.7008280-61.3862916
81.8467525234.0178398-12.65774401.84675252-45.9821601-60.5150250
9-2.3069907139.2502558-58.3164279-2.30699071-20.7497441-2.81489291
100.8809516438.6272020-56.02513920.88095164-21.3727979-4.26192710
②考虑节点侧移
内力计算
杆端内力值(乘子=1)
-----------------------------------------------------------------------------------------------
杆端1杆端2
----------------------------------------------------------------------------------
单元码轴力剪力弯矩轴力剪力弯矩
-----------------------------------------------------------------------------------------------
1-66.9812688-1.678830642.09545645-66.9812688-1.67883064-4.61986613
2-33.1844456-3.531666066.92756581-33.1844456-3.53166606-7.19909845
3-85.91284171.84511571-3.74434739-85.91284171.845115713.63611546
4-170.4485310.86714853-2.16941167-170.4485310.867148531.29918245
5-42.57019940.81168170-1.22522667-42.57019940.811681702.02150011
6-20.90271261.68655027-3.35073909-20.90271261.686550273.39546199
7-3.5316658033.1844456-7.19909845-3.53166580-46.8155543-61.7235335
81.8528354233.7968232-11.54743191.85283542-46.2031767-61.1728457
9-1.6865491939.0972873-57.9791861-1.68654919-20.9027126-3.39546199
100.8748683938.3325132-55.36731860.87486839-21.6674867-5.37223920
-----------------------------------------------------------------------------------------------
根据上图表格比较三种情况下,忽略结点侧移与考虑结点侧移时内力大小可知:
轴力、剪力、弯矩在三种情况下忽略节点侧移时各值都略大于考虑节点侧移时的值
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