电大《混凝土结构设计》计算题期末复习参考资料小抄

电大混凝土结构设计计算题期末复习参考资料小抄四、计算题(本大题共5小题，每小题6分，共30分)36.某钢筋混凝土两跨两层框架的计算简图如题36图所示。各层重力荷载代表值均为800kN，底层3根柱侧移刚度D的比值为11.21，场地特征周期为0.4s，结构基本周期为O.5s，地震影响系数最大值为O.16。试计算该框架底层柱B的地震剪力标准值。（提示：） 37.某四层钢筋混凝土框架结构的计算简图如题37图所示。各层重力荷载代表值分别为Gl=2400kN，G2=G3=G4=1800kN；各层的层侧移刚度分别为K1=25000kNm；K2=K3=K4=20000kNm。试用能量法计算其基本自振周期。（提示：)38.某三层两跨框架的计算简图如题38图所示。括号内为各杆的相对线刚度。试用反弯点法计算梁AB的B端弯矩。39.某单层单跨厂房排架结构如题39图所示。A柱与B柱尺寸相同，在牛腿顶面上分别作用有Mmax=104kNm及Mmin=58kNm的力矩，吊车横向水平刹车力为T=30kN。试用剪力分配法计算各柱的柱顶剪力。(提示：柱顶不动铰支座支力)40.某轴心受压柱下扩展基础如题40图所示。地基净反力pJ=l80kNm2，采用HPB235级钢筋，fy=210Nmm2，as=70mm。试计算底板受力钢筋面积积。(提示：)四、计算题（本大题共5小题，每小题6分，共30分）36.某三层钢筋混凝土框架的计算简图如题36图所示。各层重力荷载代表值均为800kN，水平地震影响系数为0.1，顶部附加地震作用系数为0.05。试用底部剪力法计算该框架第2层层间地震剪力的标准值。(提示：Fi=)题36图37.如题37图所示框架结构的重力荷载代表值G1=G2=G5=1500kN，各层边柱D值均为1.5104kN/m，各层中柱D值均为2.0104kN/m。试按顶点位移法计算其自振周期。(提示：T1=1.7)题37图38.某单层单跨工业厂房排架结构，跨度18m，柱距6m，厂房内设有1台吊车，吊车的最大轮压标准值为Pmax,k=110kN,最小轮压标准值为Pmin,k=30kN,大车轮距为4.5m。试画出吊车梁支座反力影响线，并计算作用在排架柱上的吊车竖向荷载设计值Dmax、Dmin。（提示：）39.某两层三跨框架的计算简图如题39图所示。各柱线刚度均为1.0104kNm，边柱侧移刚度修正系数为=0.6，中柱侧移刚度修正系数为=0.7。试用D值法计算柱AB的B端弯矩。(提示：底层反弯点高度比为0.65)题39图40.某牛腿尺寸及承受的设计荷载如题40图所示。已知作用在牛腿顶部的竖向力设计值为640kN，水平拉力设计值为100kN，采用HRB400级钢（fy=360N/mm2），as=50mm。试计算牛腿顶部所需配置的纵向受拉钢筋面积As。(提示：当a0.3h0时，取a=0.3h0；As=)四、计算题(本大题共5小题，每小题6分，共30分)36.偏心受压柱扩展基础如题36图所示，基础边缘处最大地基净反力pj=150kNm2，基础混凝土抗拉强度设计值ft=1.1Nmm2。试验算柱与基础交接处的混凝土受冲切承载力是否满足要求。(提示：as=40mm，Fl=pjAl，Fl0.7kpftamh0,kp=1.0,am=(at+ab)37.三跨单层排架如题37图所示。总重力荷载代表值为4000kN，结构基本白自周期为0.4s，场地特征周期为0.25s，抗震设防烈度为8度，max=0.16；排架A柱、B柱、C柱和D柱的侧移刚度的比值为2332。试用底部剪力法计算C柱的弯矩，并面出弯矩图。（提示：）38.某4层钢筋混凝土框架结构，各层重力荷载代表值分别为：Gl=1500kN，G2=G3=1200kN，G4=1000kN；各层的层间侧移刚度分别为K1=4.0104kNm，K2=K3=5.0104kNm，K4=3.2104kNm。试用顶点位移法计算其基本自振周期。(提示：T1=1.7T，T=0.7)39.两跨等高排架结构计算简图如题39图所示。排架总高13.1m，上柱高3.9m，q1=1.5kNm，q2=0.75kNm，A、B、C三柱抗侧刚度之比为11.71。试用剪力分配法求A柱的上柱下端截面的弯矩值。(提示：柱顶不动铰支座反力R=C11qH，C11=0.34)40.三层两跨框架的计算简图如题40图所示。各柱线刚度均为1.0104kNm，边柱侧移刚度修正系数为0.6，中柱侧移刚度修正系数为0.7。试计算该框架由梁柱弯曲变形引起的顶点侧移值。(未注明单位：mm)四、计算题（本大题共5小题，每小题6分，共30分）36.单层厂房排架结构如图a所示。已知W=15.0kN，q1=0.8kNm，q2=0.4kNm。试用剪力分配法计算各柱的柱顶剪力。（提示：支反力系数C11=0.3，见图b（1）；图b（2）、b（3）中的u1=2u2）题36图37.某两层三跨框架如图所示，括号内数字为各杆相对线刚度。试用反弯点法求AB杆的杆端弯矩，并画出该杆的弯矩图。题37图38.某单层厂房排架结构及风荷载体型系数如图所示。基本风压w0=0.35kNm2，柱顶标高+12.00m，室外天然地坪标高-0.30m，排架间距B=6.0m。求作用在排架柱A及柱B上的均布风荷载设计值qA及qB。（提示：距离地面10m处，=1.0；距离地面15m处，=1.14；其他高度按内插法取值。）题38图39某单跨三层框架，各层层高均为3m，框架柱的尺寸均相等，各层的重力荷载代表值均为1200kN，已知结构的基本自振周期为0.4s，场地特征周期为0.3s，抗震设防烈度为8度。试用底部剪力法计算第二层左侧柱子的地震剪力。（提示：）40.某三层钢筋混凝土框架，底层层高4.0m，二、三层层高均为3.0m。集中于楼盖和屋盖处的重力荷载代表值分别为G1=G2=2000kN，G3=1500kN。各层侧移刚度分别为D1=D2=3.6104kNm，D3=1.8104kNm。试求该框架结构的基本自振周期。（提示：T1=1.7，=0.7）四、计算题(本大题共5小题，每小题6分，共30分)36.排架计算简图如题36图所示，A柱与B柱的形状和尺寸相同。Mmax =84kNm，Mmin =40kNm，P=8kN。试用剪力分配法求B柱的弯矩图。(提示：柱顶不动铰支座反力R=)37.某两跨五层框架如题37图所示，各层重力荷载代表值分别为：G1=G2=G3=G4=l500kN，G5=1000kN；结构基本自振周期为0.4s，场地特征周期为0.25s，抗震设防烈度为8度，=0.16；框架底层A柱、B柱和C柱的侧移刚度的比值为343，底层A柱反弯点高度比yh=0.55。试用底部剪力法计算底层A柱的上端弯矩。(提示：)38.钢筋混凝土牛腿如题38图所示，牛腿宽度为400mm，采用C30混凝土(抗拉强度标准值为2.01N/mm2)，作用于牛腿顶部的竖向荷载标准值为150kN，水平荷载标准值为70kN，裂缝控制系数取0.65。试验算牛腿截面是否满足斜裂缝控制条件。(提示：)39.某两层两跨框架的计算简图如题39图所示，图中括号内数值为该杆件的线刚度。试用D值法求该框架顶层柱AB的剪力VAB。(提示：)40.如题40图所示框架结构，各层重力荷载代表值Gi=1440kN(i=1，2，6)，各层边柱D值均为1.2104kNm，各层中柱D值均为2.4104kNm。试按能量法计算其自振周期。(提示：)四、计算题(本大题共5小题，每小题6分，共30分)36柱子牛腿如题36图所示。已知纵向受拉钢筋面积为631mm2，fy=300N/mm2，水平拉力设计值为75kN。试计算该牛腿所能承受的竖向力设计值。37三层钢筋混凝土框架结构的计算简图如题37图所示。各层重力荷载代表值为G1=G2=G3=1500kN，各层的层刚度Kl=K2=K3=24000kN/m。试用能量法计算其基本自振周期。38两跨三层框架如题38图所示。各层层高均为3m，框架边柱侧移刚度相等，中柱的侧移刚度是边柱的1.2倍，各层的重力荷载代表值均为2400kN，结构的基本自振周期为0.4s，场地特征周期为0.3s，抗震设防烈度为8度。试用底部剪力法计算该框架第3层中柱的地震剪力。39两层三跨框架的计算简图如题39图所示。各柱侧移刚度均为4.0103kNm。试计算该框架由梁柱弯曲引起的顶点侧移值40排架计算简图如题40图所示。已知W=10kN，M=100kNm。试用剪力分配法求B柱弯矩图。(提示：弯矩作用在牛腿顶面，柱顶不动铰支座反力R=C3，C3=1.2)四、计算题(本大题共5小题，每小题6分，共30分)36两层三跨框架如题36图所示，括号内为各杆相对线刚度。试用反弯点法求梁AB的B端弯矩。37柱下独立基础如题37图所示。基础顶面作用的轴向压力Nk=700kN，弯矩Mk=200kNm，剪力Vk=25kN，修正后的地基承载力特征值a=200kNm2，已知基础底面尺寸b=3m，=2m，基础埋置深度d=1.5m，基础高度h=1.0m，基础及以上土的重力密度平均值m=20kNm3。试验算地基承载力是否满足要求。38单层单跨框架如题38图所示。层高5m，重力荷载代表值为6000kN。每根柱子的侧移刚度均为50000kNm，反弯点高度比h=0.6；抗震设防烈度为8度，=0.16；场地特征周期为0.25s。当水平地震作用于该框架时，试用底部剪力法计算A柱的下端弯矩。 (提示：)39两跨等高排架结构的计算简图如题39图所示。已知排架柱总高度为11m，上柱高为3.3m；W=2.5kN，ql=2kNm，q2=1.2kNm，A、B、C柱抗侧刚度之比为11.21。试用剪力分配法求B柱在图示荷载作用下的柱底弯矩。(提示：柱顶不动铰支座反力R=C11qH，C11=0.35)40题40图所示框架结构的重力荷载代表值Gl=G2=G3=G4=1500kN，各层边柱D值均为1.5104kNm，各层中柱D值均为2.5104kNm。试按公式T1=1.7计算其自振周期。(提示：=0.6)四、计算题(本大题共5小题，每小题6分，共30分)36某排架计算简图如图所示。已知Wk=3kN，qlk=2.5kN/m，q2k=1.5kNm；A、B柱截面形状和尺寸均相同，试用剪力分配法求A柱在图示荷载作用下的柱底弯矩。(提示：均布荷载作用下柱顶不动铰支座反力R=Cl1qH，Cll=0.4)37如图所示框架结构，括号内数值为各杆的线刚度，假定AB柱反弯点高度比为0.45，求第二层AB柱的B端弯矩MBA。（提示：）38某单层厂房柱牛腿顶部作用的竖向力设计值为500kN，水平拉力设计值为150kN，竖向力至下柱边缘的水平距离为500mm，牛腿与下柱交接处的垂直截面有效高度为850mm，钢筋设计强度为300N/mm2。试计算牛腿纵向受拉钢筋的面积。（提示：）39单质点结构体系如图示。当1kN水平力作用于柱顶时，柱顶产生的侧向位移为0.05mm；已知重力荷载代表值G=1500kN，地震影响系数最大值为0.16，特征周期为0.4s。试计算该体系的底部剪力。（提示：）40某三层钢筋混凝土框架，底层层高3.9m，其余二层均为2.8m。已知各层重力荷载代表值分别为G1=13000kN,G2=11000kN，G3=12000kN；结构基本自振周期T1=0.45s；设计地震分组为第二组，II类场地；设防烈度为9度。试用底部剪力法计算水平地震作用下的底部剪力及二层剪力。（提示：Tg=0.4s,） Visa-free policy brings Chengdu biz, tourism boost. Making national headlines several times, Chengdus 72-hour visa-free policy has attracted wide attention from both Chinese and foreign experts and businessmen since it took effect on Sept 1 last year. The program permits citizens from 51 countries and regions including the United States, Australia, Canada and Japan who have valid visas and flight tickets to a third country to spend three days in the city. The capital of Sichuan province is the first city in the western region of China to offer foreign tourists a three-day visa and the fourth nationwide to adopt the policy following Shanghai, Beijing and Guangzhou. Li Zhiyong, deputy dean of the tourism institute at Sichuan University, said the move contributes to a large increase in the number of overseas tourists and raises the citys level of internationalization. The policy will also bring direct economic revenue, Li said. Chengdu has many cultural legacies and is also a paradise for panda lovers with the worlds largest breeding and research center. Three days are long enough for foreign visitors to visit those iconic tourist spots, he noted. The city is home to the remains of the Jin sha civilization that dates back more than 3,000 years as well as the Qing cheng Mountains and the Du jiang yan irrigation system. Qing cheng has long been recognized as the birthplace of Taoism, Chinas ancient indigenous religion, while Du jiang yan is considered to be the oldest functioning water-control project in the world. Chengdu ranked third in tourist facilities, management and services among 60 Chinese cities in a customer satisfaction survey released last year. But, Li added that efforts are still needed to develop more tourism products, improve English services and provide accurate translation of traffic signs and scenic billboards. Zhao Yun, chairwoman of British Chamber of Commerce Southwest China, told China Daily that his colleagues found the policy very convenient. A British client once flew here and stayed for just one day to check her ordered goods, she said. Zhao was born in Shanxi province, but she has lived in Chengdu for more than 10 years. My life was like a running race moving from place to place. I also lived in Beijing and Shanghai before, she said. But Chengdu is a place that you never want to leave once settling down. It is now my second hometown, she said. If the environment is further improved, the city will attract more people to visit and live, with the 72-hour visa-free policy and compelling conditions in transportation, culture, climate and cuisine, he said. Foreigners also gave positive feedback on the policy. A spokesman from Dell Inc said the company has a global hub of operation in Chengdu, so the three-day visa has an immediate and positive influence on the companys business development. Rudy Buttignol, president of the public broadcasting company in British Columbia, Canada, said his work requires frequent travel to Chengdu and the policy makes the trips easier. Data from the citys public security bureau shows some 100 foreign visitors enjoyed the 72-hour policy by the end of March, most of them from the United States, the United Kingdom and Germany. Chengdu also reported robust growth in its overall tourist industry last year. Official statistics show that it received some 150 million tourists last year, an increase of 28 percent from 2012. Around 1.7 million came from abroad, an increase of 12 percent. Total revenue from tourism surpassed 133 billion yuan ($21.7billion). During his visit to Kazakhstan in September, Chinese President Xi Jinping proposed that China and Central Asia join hands to build a Silk Road economic belt to boost cooperation. The idea has been widely echoed in Central Asian countries, becoming an encouraging blueprint for Chinese areas along the Silk Road that has linked Asia and Europe for more than 2,000 years. In the next three weeks, China Daily reporters will travel through the belt in China and in Kazakhstan, Uzbekistan and Turkey. They will show the progress and expectations of the countries, businesses and peoples on the route. Shaanxi - the start of the ancient Silk Road - has positioned itself as the new starting point for the development of the Silk Road Economic Belt, which will strengthen Chinas cooperation with Central Asian countries, a senior official said. Shaanxi Governor Lou Qinjian said the province is fresh, rich and unique, as it was when it anchored one end of the ancient Silk Road. It is the best option for accommodating industrial transfers from East China or the world at large, he said on Wednesday in Xian.Lou held a joint interview with 27 media, including China Daily, the first in a series of interviews entitled Chinese Media Along the Silk Road. The interviews will be in Shaanxi and Gansu provinces and the Xinjiang Uygur autonomous region, as well as Kazakhstan, Uzbekistan and Turkey. The media group held the first interview on Wednesday morning in Xian, the starting point of the ancient Silk Road, a trade channel established more than 2,000 years ago linking China, Central Asia and Europe.