1、现浇混凝土框架结构设计计算书1、设计资料1. 某学生宿舍采用框架结构,其建筑平面图和剖面图如图1和图2。建设地点为某城市郊区,底层为食堂,层高4.5m,24层为学生宿舍,层高3.9m,室内外高差为0.6m。基本风压为 。不考虑抗震设防。2. 楼面和屋面采用现浇钢筋混凝土肋形楼盖结构,板厚120mm。3. 屋面采用柔性防水,屋面构造层的恒载标准值为,屋面为上人屋面,活荷载标准值为。4. 楼面构造层的恒载标准值为,楼面活荷载标准值为。5. 墙体采用灰砂砖,重度,外墙贴瓷砖,墙面重,内墙采用水泥粉刷,墙面重。6. 木框玻璃窗重,木门重。7. 梁的混凝土等级为C30,柱的混凝土等级为C30,钢筋为HR
2、B335。图1 建筑平面图图2 建筑剖面图小组号(m)(m)(m)(m)17.262.45.0(4.2)27.25.72.45.0(4.2)36.662.15.0(4.2)46.65.72.15.0(4.2)57.262.44.5(3.9)67.25.72.44.5(3.9)76.662.14.5(3.9)86.65.72.14.5(3.9)2、结构布置及结构计算简图的确定结构平面布置图见图3边跨梁:AB跨:,CD跨:,取,。中跨(BC跨)梁:取,。边柱:A轴连系梁:,D轴连系梁:取,。中柱(B轴、C轴)连系梁:取,。1层柱截面:。2-4层柱截面:。结构计算简图见图4 图3结构平面布置图 图4
3、 结构计算简图 (图中线刚度单位为:求梁截面惯性矩时考虑到现浇楼板的作用,取,各梁柱线刚度标在结构计算简图图4中。AB跨梁:CD跨梁:BC跨梁:上部柱:底层柱:3、荷载计算 3.1.恒载计算(1)屋面框架梁线荷载标准值: 120mm厚现浇钢筋混凝土楼板 0.1225=3.0 构造层 3.24 15mm厚纸筋石灰抹底 0.01516=0.24 屋面恒荷载: 边跨框架梁自重 0.30.625=4.5 梁侧粉刷 20.6-0.120.36=0.35 中跨框架梁自重 0.40.2525=2.5 梁侧粉刷 20.4-0.120.36=0.20 因此,作用在顶层框架梁上的线荷载:(2)楼面框架梁线荷载标准
4、值:120mm厚现浇钢筋混凝土楼板 0.1225=3.0 构造层 1.56 15mm厚纸筋石灰抹底 0.01516=0.24 楼面恒荷载边跨框架梁及梁侧粉刷 4.85 边跨填充墙自重 0.183.9-0.618=10.69 墙面粉刷 23.9-0.60.36=2.38 中跨框架梁及梁侧粉刷 2.70因此,作用在中间层框架梁上的线荷载为:(3)屋面框架节点集中荷载标准值: 边柱连系梁自重 0.250.5625=18.75kN 粉刷 2(0.5-0.12)6(0.5+0.36)/2=1.96kN 0.9m高女儿墙自重 0.90.24618=23.33 kN 女儿墙外瓷砖 20.960.5=5.4k
5、N AB连系梁传来屋面自重 6/26/26.48=58.32kNCD连系梁传来屋面自重 (6+6-5.7)/25.7/26.48=58.17kN因此,顶层边节点集中荷载 中柱连系梁自重 0.40.25625=15kN 粉刷 20.4-0.1260.36=1.21kN AB连系梁传来屋面自重 6/26/26.48+ 0.5(6+6-2.1)2.1/26.48=92kNCD连系梁传来屋面自重 6/26/26.48+ 0.5(6+6-5.7)5.7/26.48=91.85kN因此,顶层中节点集中荷载 (4)楼面框架节点集中荷载标准值 边柱连系梁自重 18.75kN 粉刷 1.96kN 木框玻璃窗自重
6、 3.62.40.3=2.59kN墙体面积 (6-0.4)(3.9-0.5)-3.62.4=10.4m2墙体自重 10.40.2418=44.93kN 内粉刷+外瓷砖 10.40.36+0.50.5=8.94kN 框架柱自重 0.40.453.925=17.55kN 内粉刷+外瓷砖 0.43.9(0.5+0.36)=1.34kN连系梁传来楼面自重 6/26/24.8=43.2kN (6+6-5.7)/25.7/24.8=43.09kN因此,中间层边节点集中荷载 中柱连系梁自重 15kN 粉刷 1.21kN 内纵墙自重 6-0.43.9-0.50.1818=61.69kN粉刷 26-0.4(3.
7、9-0.5)0.36=14.77kN 扣除门洞加门重 -2.41.2180.18-0.2= - 8.76kN 框架柱自重 17.55kN 粉刷 1.34kN连系梁传来楼面自重 6/26/24.8+0.5(6+6-2.1)2.1/24.8=68.15kN 6/26/24.8+0.5(6+6-5.7)5.7/24.8=68.04kN因此,中间层中节点集中荷载 恒荷载作用下的结构计算简图见图5。 图5 恒荷载内力计算简图 3.2.活载计算活载作用下的结构计算简图见图6。 图6 活荷载内力计算简图 3.3.风荷载计算计算公式 ,左风荷载作用下的结构计算简图见图7。因结构高度为16.2m30m,可取=1
8、.0,对于矩形平面=1.3, 计算过程见表1,z为框架节点至室外地面高度,A为一榀框架各层节点的受风面积。风载计算表(表1)层次(m)()()41.01.316.21.1800.517.113.1231.01.312.31.0810.523.416.4421.01.38.41.00.523.415.2111.01.34.51.00.525.216.38图7 左风载作用下结构计算简图4、内力计算 4.1 恒荷载作用下的内力计算 中间层:把梯形(及三角形)荷载化作等效均布荷载边跨梁AB: 中跨梁BC: 边跨梁CD:弯矩分配计算见表2。 弯矩分配计算表(表2)节点ABCD杆端上柱下柱右梁左梁上柱下柱
9、右梁左梁上柱下柱右梁左梁上柱下柱分配系数0.230.230.540.380.160.160.30.280.150.150.420.580.210.21固端弯矩-123.71123.71-3.313.31-97.2397.23分配传递28.4528.4566.8133.41-29.23-58.45-24.61-24.61-46.14-23.076.726.7215.797.9016.3832.7617.5517.5549.1324.57-4.62-9.24-3.88-3.88-7.28-3.64-35.52-70.64-25.58-25.581.061.062.51.255.4610.925.8
10、45.8416.368.18-1.28-2.56-1.07-1.07-2.01-1.01-2.37-4.74-1.72-1.720.290.290.70.350.470.940.510.511.420.71-0.16-0.31-0.13-0.13-0.25-0.13-0.21-0.41-0.15-0.15杆端弯矩36.5236.52-73.296.06-29.43-29.43-36.6820.0823.923.9-68.2254.9-27.45-27.45柱端弯矩12.1712.17-24.432.02-9.81-9.81-12.236.697.977.97-22.7418.3-9.15-9.
11、15分层法算得的弯矩与结构力学求解器求得的弯矩存在很小的差距,相对偏小。但是对整个结构基本没影响,因而用结构力学求解器求得的弯矩可以用于后面的设计计算。结构力学求解器求得的恒荷载的弯矩图见图8、剪力图见图9、轴力图见图10。 图8 恒荷载作用下的弯矩图 图9 恒荷载作用下的剪力图 图10 恒荷载作用下的轴力图4.2楼面活荷载作用下的内力计算 活荷载作用下的内力计算也采用分层法,故不再具体计算。用结构力学求解器求得的活荷载的弯矩图见图11、剪力图见12、轴力图见13。 图11 活荷载作用下的弯矩图 图12 活荷载作用下的剪力图 图13 活荷载作用下的轴力图4.3风荷载作用下内力计算风荷载作用下的
12、内力计算采用D值法。左风作用与右风作用的内力值大小一样,方向相反。因此计算了左风荷载来代表。用D值法计算得到的结果见表3,用结构力学求解器求得的左风荷载的弯矩图见图14、剪力图见图15、轴力图见图16。 D值法计算内力表(表3) K V(kN)y0M上()M下()第4层 A2.110.512.810.4066.514.45 B3.740.653.580.457.686.28 C4.060.673.690.457.926.48 D2.430.553.030.4226.834.99第3层A2.110.516.120.45612.9810.88 B3.740.657.80.515.2115.21 C
13、4.060.678.040.515.6815.68 D2.430.556.60.47213.5912.15第2层 A2.110.519.380.45619.916.68 B3.740.6511.950.523.323.3 C4.060.6712.320.524.0224.02 D2.430.5510.110.47220.8218.61第1层 A1.970.6213.610.5530.6237.43 B3.490.7316.020.5536.0544.01 C3.760.7416.240.5536.5444.66 D2.270.6514.270.5532.1139.24 图14 左风荷载作用下的
14、弯矩图 图15 左风荷载作用下的剪力图 图16 左风荷载作用下的轴力图5、内力组合 根据前面内力计算结果,即可进行框架各梁柱各控制截面上的内力组合,梁的控制截面为梁端柱边及跨中;柱的为柱顶和柱底。梁控制截面上的内力组合见表4,柱控制截面上的内力组合见表5。层次截面位置内力恒载活载风载左风载右恒1.2恒1.2+活1.4恒1.2+活1.4+左风1.40.6恒1.2+活1.4+右风1.40.6最不利组合4AM-32.36-7.745.93-5.93-38.832-49.668-44.6868-54.6492-54.6492V79.1519.96-1.961.9694.98122.924121.277
15、6124.5704124.5704AB梁跨中M84.321.62-0.150.15101.16131.428131.302131.554131.554B左M-54.37-13.52-6.236.23-65.244-84.172-89.4052-78.9388-89.4052V-86.25-21.83-1.961.96-103.5-134.062-135.708-132.416-135.708B右M-29.36-7.60.89-0.89-35.232-45.872-45.1244-46.6196-46.6196V15.113.63-1.051.0518.13223.21422.33224.096
16、24.096BC梁跨中M-19.44-5.1600-23.328-30.552-30.552-30.552-30.552C左M-19.88-5.23-0.90.9-23.856-31.178-31.934-30.422-31.934V-3.96-0.84-1.051.05-4.752-5.928-6.81-5.046-6.81C右M-34.5-8.786.18-6.18-41.4-53.692-48.5008-58.8832-58.8832V79.2420.45-2.282.2895.088123.718121.8028125.6332125.6332CD梁跨中M72.5418.920.13-
17、0.1387.048113.536113.6452113.4268113.6452DM-23.96-5.74-5.915.91-28.752-36.788-41.7524-31.8236-41.7524V-75.26-19.3-2.282.28-90.312-117.332-119.247-115.417-119.2473AM-62.14-12.8515.9-15.9-74.568-92.558-79.202-105.914-105.914V100.119.89-4.554.55120.12147.966144.144151.788151.788AB梁跨中M83.7416.281.79-1.7
18、9100.488123.28124.7836121.7764124.7836B左M-96.53-19.09-12.3112.31-115.836-142.562-152.902-132.222-152.902V-111.19-21.9-4.554.55-133.428-164.088-167.91-160.266-167.91B右M-55.02-10.229.55-9.55-66.024-80.332-72.31-88.354-88.354V15.643.35-11.1311.1318.76823.45814.108832.807232.8072BC梁跨中M-41.63-8.130.09-0.
19、09-49.956-61.338-61.2624-61.4136-61.4136C左M-41.45-8.31-9.369.36-49.74-61.374-69.2364-53.5116-69.2364V0.34-1.11-11.1311.130.408-1.146-10.49528.2032-10.4952C右M-66.73-14.212.63-12.63-80.076-99.956-89.3468-110.565-110.565V98.8120.63-5.55.5118.572147.454142.834152.074152.074CD梁跨中M68.2913.99-1.941.9481.94
20、8101.53499.9044103.1636103.1636DM-47.42-10.19-16.5116.51-56.904-71.17-85.0384-57.3016-85.0384V-91.52-19.12-5.55.5-109.824-136.592-141.212-131.972-141.2122AM-64.97-12.8128.28-28.28-77.964-95.898-72.1428-119.653-119.653V103.3220.43-8.618.61123.984152.586145.3536159.8184159.8184AB梁跨中M90.917.991.59-1.59
21、109.08134.266135.6016132.9304135.6016B左M-79.36-15.7-25.125.1-95.232-117.212-138.296-96.128-138.296V-107.97-21.36-8.618.61-129.564-159.468-166.7-152.236-166.7B右M-24.52-4.911.58-11.58-29.424-36.284-26.5568-46.0112-46.0112V12.723.06-13.4213.4215.26419.5488.275230.820830.8208BC梁跨中M-15.73-3.190.17-0.17-1
22、8.876-23.342-23.1992-23.4848-23.4848C左M-15.89-3.49-11.2411.24-19.068-23.954-33.3956-14.5124-33.3956V-2.58-1.41-13.4213.42-3.096-5.07-16.34286.2028-16.3428C右M-52.6-11.1926.27-26.27-63.12-78.786-56.7192-100.853-100.853V95.8820.1-10.5710.57115.056143.196134.3172152.0748152.0748CD梁跨中M74.6815.58-1.751.75
23、89.616111.428109.958112.898112.898DM-48.79-10.02-29.7629.76-58.548-72.576-97.5744-47.5776-97.5744V-94.44-19.95-10.5710.57-113.328-141.258-150.137-132.379-150.1371AM-60.26-11.9544.01-44.01-72.312-89.042-52.0736-126.01-126.01V102.7520.32-13.0713.07123.3151.748140.7692162.7268162.7268AB梁跨中M93.8518.533.
24、49-3.49112.62138.562141.4936135.6304141.4936B左M-78.18-15.5-37.0237.02-93.816-115.516-146.613-84.4192-146.613V-108.54-21.47-13.0713.07-130.248-160.306-171.285-149.327-171.285B右M-26.64-5.2718.08-18.08-31.968-39.346-24.1588-54.5332-54.5332V13.373.16-20.9220.9216.04420.4682.895238.040838.0408BC梁跨中M-16.8
25、9-3.440.3-0.3-20.268-25.084-24.832-25.336-25.336C左M-16.92-3.7-17.4917.49-20.304-25.484-40.1756-10.7924-40.1756V-1.93-1.31-20.9220.92-2.316-4.15-21.722813.4228-21.7228C右M-51.79-11.0338.73-38.73-62.148-77.59-45.0568-110.123-110.123V96.5920.23-16.0316.03115.908144.23130.7648157.6952157.6952CD梁跨中M77.361
26、6.09-3.743.7492.832115.358112.2164118.4996118.4996DM-44.23-9.16-46.2246.22-53.076-65.9-104.725-27.0752-104.725V-93.74-19.52-16.0316.03-112.488-139.816-153.281-126.351-153.281柱控制截面内力组合表(表5)层次截面位置内力恒载活载风载左风载右恒1.2恒1.2+活1.4恒1.2+活1.4+左风1.40.6恒1.2+活1.4+右风1.40.6最不利组合4A柱M上-42.11-10.355.52-5.52-50.532-65.022
27、-60.3852-69.6588-69.6588M下36.57.84-3.253.2543.854.77652.04657.50657.506N-192.25-39.311.96-1.96-230.7-285.734-284.088-287.38-287.38V-23.82-5.512.66-2.66-28.584-36.298-34.0636-38.5324-38.5324B柱M上36.188.866.96-6.9643.41655.8261.666449.973661.6664M下-28.47-6.28-6.546.54-34.164-42.956-48.4496-37.4624-48.4
28、496N-217.15-55.73-0.910.91-260.58-338.602-339.366-337.838-339.366V18.474.333.86-3.8622.16428.22631.468424.983631.4684C柱M上-27.59-6.996.97-6.97-33.108-42.894-37.0392-48.7488-48.7488M下21.434.89-6.596.5925.71632.56227.026438.097638.0976N-199.32-51.681.23-1.23-239.184-311.536-310.503-312.569-312.569V-14.
29、01-3.43.88-3.88-16.812-21.572-18.3128-24.8312-24.8312D柱M上34.378.535.55-5.5541.24453.18657.84848.52457.848M下-29.51-6.58-3.473.47-35.412-44.624-47.5388-41.7092-47.5388N-188.7-38.76-2.282.28-226.44-280.704-282.619-278.789-282.619V19.364.582.73-2.7323.23229.64431.937227.350831.93723A柱M上-33.6-6.3910.95-1
30、0.95-40.32-49.266-40.068-58.464-58.464M下35.326.93-8.938.9342.38452.08644.584859.587259.5872N-438.43-78.546.51-6.51-526.116-636.072-630.604-641.54-641.54V-20.89-4.046.03-6.03-25.068-30.724-25.6588-35.7892-35.7892B柱M上26.174.9615.99-15.9931.40438.34851.779624.916451.7796M下-31.27-6.06-13.7713.77-37.524-
31、46.008-57.5748-34.4412-57.5748N-522.49-111.265.67-5.67-626.988-782.752-777.989-787.515-787.515V16.413.158.5-8.519.69224.10231.24216.96231.242C柱M上-19.51-3.9216.21-16.21-23.412-28.9-15.2836-42.5164-42.5164M下23.284.78-14.1714.1727.93634.62822.725246.530846.5308N-476.55-103.81-4.44.4-571.86-717.194-720.
32、89-713.498-720.89V-12.23-2.498.68-8.68-14.676-18.162-10.8708-25.4532-25.4532D柱M上26.835.3511.42-11.4232.19639.68649.278830.093249.2788M下-28.31-5.79-9.549.54-33.972-42.078-50.0916-34.0644-50.0916N-426.55-77.34-7.787.78-511.86-620.136-626.671-613.601-626.671V16.713.376.35-6.3520.05224.7730.10419.43630.
33、1042A柱M上-38.29-7.6216.55-16.55-45.948-56.616-42.714-70.518-70.518M下39.997.94-13.3313.3347.98859.10447.906870.301270.3012N-687.84-118.3215.12-15.12-825.408-991.056-978.355-1003.76-1003.76V-23.72-4.719.05-9.05-28.464-35.058-27.456-42.66-42.66B柱M上36.167.1223.06-23.0643.39253.3672.730433.989672.7304M下-37.26-7.32-21.6521.65-44.712-54.96-73.146-36.774-73.146N-821.68-165.9610